├── .gitignore ├── Blogs ├── document.pdf ├── document.tex ├── document2.pdf └── document2.tex ├── CMI └── B.Sc │ ├── Sem 1 │ ├── Algebra Assignment 1.pdf │ ├── Algebra Assignment 1.tex │ ├── Algebra Assignment 2.pdf │ ├── Algebra Assignment 2.tex │ ├── Analysis Assignment 1.pdf │ ├── Analysis Assignment 1.tex │ ├── Analysis Assignment 2.pdf │ ├── Analysis Assignment 2.tex │ ├── Analysis-I Exercise.pdf │ ├── Analysis-I Exercise.tex │ ├── Classical Mechanics P1.pdf │ ├── Classical Mechanics P1.tex │ ├── Classical Mechanics P2.pdf │ ├── Classical Mechanics P2.tex │ ├── Classical Mechanics P3.pdf │ ├── Classical Mechanics P3.tex │ ├── Classical Mechanics P4.pdf │ ├── Classical Mechanics P4.tex │ ├── Classical Mechanics P5.pdf │ ├── Classical Mechanics P5.tex │ ├── Classical Mechanics P6.pdf │ ├── Classical Mechanics P6.tex │ ├── Classical Mechanics P7.pdf │ ├── Classical Mechanics P7.tex │ ├── Classical Mechanics P8.pdf │ ├── Classical Mechanics P8.tex │ ├── Classical Mechanics P9.pdf │ ├── Classical Mechanics P9.tex │ ├── English Assignment 1.pdf │ ├── English Assignment 1.tex │ ├── English Assignment 2.pdf │ ├── English Assignment 2.tex │ ├── English Assignment 3.pdf │ ├── English Assignment 3.tex │ ├── English Assignment 4.pdf │ ├── English Assignment 4.tex │ ├── English Assignment 5.pdf │ ├── English Assignment 5.tex │ ├── images │ │ ├── 1.jpg │ │ ├── 2.jpg │ │ └── 3.jpg │ └── letterfonts.tex │ ├── Sem 2 │ ├── ana2-endsem.pdf │ ├── analysis_class-note.pdf │ ├── analysis_class-note.tex │ ├── ch01-norm.tex │ ├── ch02-metric-space.tex │ ├── ch03-metric-space-continuity.tex │ ├── ch04-norm-eq.tex │ ├── ch05-compactness.tex │ ├── ch06-differentiation.tex │ ├── ch07-differentiation-problems.tex │ ├── ch08-chain-and-operator.tex │ ├── ch09-mean-value-theorem.tex │ ├── ch10-higher-derivatives.tex │ ├── ch11-multivariable taylor-theorem.tex │ ├── ch12-maxima-minima.tex │ ├── ch13-example-critp-localmaxmin.tex │ ├── ch14-lagrange-multiplier.tex │ ├── ch15-inverse-function.tex │ ├── ch16-implicit-function.tex │ ├── ch17-complex-differentitaion.tex │ ├── images │ │ └── saddle.pdf │ ├── letterfonts.tex │ ├── macros.tex │ ├── preamble.tex │ ├── template_My_Assignment.pdf │ └── template_My_Assignment.tex │ ├── Sem 3 │ ├── A-1.pdf │ ├── A-1.tex │ ├── A-2.pdf │ ├── A-2.tex │ ├── A-3.pdf │ ├── A-3.tex │ ├── A-4.pdf │ ├── A-4.tex │ ├── A-5.pdf │ ├── A-5.tex │ ├── A-6.pdf │ ├── A-6.tex │ ├── A-7.pdf │ ├── A-7.tex │ ├── alg3.pdf │ ├── alg3.tex │ ├── analysis_class-note.pdf │ ├── calculus_assignment_1.tex │ ├── ch1-dfa_reg.tex │ ├── ch2-cfg_pda.tex │ ├── chapters │ │ ├── alg-tut1.tex │ │ ├── alg-tut2.tex │ │ └── lecture1.tex │ ├── design-algo.md │ ├── kozen-mis-sol.pdf │ ├── kozen-mis-sol.tex │ ├── letterfonts.tex │ ├── macros.tex │ ├── newcv.pdf │ ├── newcv.tex │ ├── newmacros.tex │ ├── photo_2022-11-29_19-47-35.jpg │ ├── preamble.tex │ ├── template_My Assignment.tex │ └── test.pdf │ ├── Sem 4 │ ├── Untitled.png │ ├── arora-barak-solution.pdf │ ├── arora-barak-solution.tex │ ├── complex_ana_assignment_1.pdf │ ├── complex_ana_assignment_1.tex │ ├── complex_ana_assignment_2.pdf │ ├── complex_ana_assignment_2.tex │ ├── complex_ana_assignment_3.pdf │ ├── complex_ana_assignment_3.tex │ ├── complex_ana_assignment_4.pdf │ ├── complex_ana_assignment_4.tex │ ├── complex_ana_assignment_5.pdf │ ├── complex_ana_assignment_5.tex │ ├── complexity_assignment_1.pdf │ ├── complexity_assignment_1.tex │ ├── complexity_assignment_2.pdf │ ├── complexity_assignment_2.tex │ ├── complexity_lecture │ │ ├── MakeFile │ │ ├── document.pdf │ │ ├── document.png │ │ ├── document.tex │ │ ├── images │ │ │ └── 1.png │ │ ├── lec01.pdf │ │ ├── lec01.tex │ │ ├── lec02.pdf │ │ ├── lec02.tex │ │ ├── lec03.pdf │ │ ├── lec03.tex │ │ ├── preamble.tex │ │ └── refs.bib │ ├── images │ │ ├── jct.png │ │ ├── keyhole.png │ │ └── logxint.png │ ├── letterfonts.tex │ ├── macros.tex │ ├── preamble-topocheat.tex │ ├── preamble.tex │ ├── topology_cheatsheet.pdf │ └── topology_cheatsheet.tex │ ├── Sem 5 │ ├── ACT Presentation │ │ ├── README.md │ │ ├── act-report.pdf │ │ ├── act-report.tex │ │ ├── ch-abstract.tex │ │ ├── ch-agcode.tex │ │ ├── ch-goodcodebound.tex │ │ ├── ch-math.tex │ │ ├── demo.bib │ │ ├── letterfonts.tex │ │ ├── macros.tex │ │ ├── preamble-formal.tex │ │ ├── preamble.tex │ │ └── refs.bib │ ├── Algorithmic Coding Theory │ │ ├── act2-lec-notes.pdf │ │ ├── act2-lec-notes.tex │ │ ├── ch-expander.tex │ │ ├── ch-ldc.tex │ │ ├── ch-multiplicity.tex │ │ ├── ch-multiplicity.tex.recover.bak~ │ │ ├── ch-probref.tex │ │ └── refs.bib │ ├── Homework_Template │ │ ├── images │ │ │ ├── jct.png │ │ │ ├── keyhole.png │ │ │ └── logxint.png │ │ ├── letterfonts.tex │ │ ├── macros.tex │ │ └── main.tex │ ├── Parallel Lecture Notes │ │ ├── lec01.tex │ │ ├── lec02.tex │ │ ├── lec03.tex │ │ ├── lec04.tex │ │ ├── lec1.tex │ │ ├── lec10-11.tex │ │ ├── lec12.tex │ │ ├── lec2.tex │ │ ├── lec3.tex │ │ ├── newclass.tex │ │ ├── parallel-lec-notes.pdf │ │ ├── parallel-lec-notes.tex │ │ └── refs.bib │ ├── Parallel Presentation Iterated Mod │ │ ├── Imagens │ │ │ └── logo.png │ │ ├── bibliography.bib │ │ ├── parallel-presentation-iterated-mod.pdf │ │ ├── parallel-presentation-iterated-mod.tex │ │ └── parallel-presentation-iterated-mod.tex.recover.bak~ │ ├── coding_theory_assignment_1.pdf │ ├── coding_theory_assignment_1.tex │ ├── coding_theory_endsem_takehome.pdf │ ├── coding_theory_endsem_takehome.tex │ ├── complexity.tex │ ├── letterfonts.tex │ ├── macros.tex │ ├── main.pdf │ ├── main.tex │ ├── pac_assignment_1.pdf │ ├── pac_assignment_1.tex │ ├── pac_assignment_2.pdf │ ├── pac_assignment_2.tex │ ├── pac_assignment_3.pdf │ ├── pac_assignment_3.tex │ ├── pac_assignment_4.pdf │ ├── pac_assignment_4.tex │ ├── pac_assignment_5.pdf │ ├── pac_assignment_5.tex │ ├── pac_assignment_6.pdf │ ├── pac_assignment_6.tex │ ├── pac_assignment_7.pdf │ ├── pac_assignment_7.tex │ ├── pac_assignment_8.pdf │ ├── pac_assignment_8.tex │ ├── pac_assignment_9.pdf │ ├── pac_assignment_9.tex │ ├── preamble-formal.tex │ ├── preamble.tex │ ├── qat_assignment_1.pdf │ ├── qat_assignment_1.tex │ ├── titlepage-1.pdf │ ├── titlepage-1.tex │ ├── titlepage-2.pdf │ ├── titlepage-2.tex │ ├── titlepage-3.tex │ ├── titlepage-4.tex │ ├── titlepage-5.tex │ ├── titlepage-6.tex │ └── titlepage.tex │ ├── Sem 6 │ ├── Expander Graphs │ │ ├── ch-intro.tex │ │ ├── expanders.pdf │ │ ├── expanders.tex │ │ └── refs.bib │ ├── letterfonts.tex │ ├── macros.tex │ ├── preamble-formal.tex │ ├── preamble.tex │ ├── titlepage-1.tex │ ├── titlepage-2.tex │ ├── titlepage-3.tex │ ├── titlepage-4.tex │ ├── titlepage-5.tex │ ├── titlepage-6.tex │ └── titlepage.tex │ └── cmi.md ├── CV ├── achievements.tex ├── comment.cut ├── computer-skills.tex ├── cv-llt.pdf ├── cv-llt.tex ├── education.tex ├── internships.tex ├── misc.tex ├── own-bib.bib ├── photo.jpg ├── publications.tex ├── referee-full.tex ├── referee.tex ├── settings.sty ├── skills.tex ├── talks.tex └── workshop.tex ├── Complexity Classes Relation ├── chapters │ ├── class-defs.tex │ └── results.tex ├── complexity_classes_relation.tex ├── letterfonts.tex ├── macros.tex └── preamble.tex ├── Extensions of Cauchy-Schwarz ├── solution page 1 │ ├── document.pdf │ ├── document.tex │ └── images │ │ └── 2.png ├── solution page 2 │ ├── document.pdf │ └── document.tex ├── solution page 3 │ ├── document.pdf │ ├── document.tex │ └── images │ │ └── 1.png ├── solution page 4 │ ├── document.pdf │ ├── document.tex │ └── images │ │ └── 1.png ├── solution page 5 │ ├── document.pdf │ ├── document.tex │ └── images │ │ └── 1.png ├── solution page 6 │ ├── document.pdf │ ├── document.tex │ └── images │ │ └── 1.png └── solution page 7 │ ├── document.pdf │ ├── document.tex │ └── images │ └── 1.png ├── Homework_Template ├── images │ ├── jct.png │ ├── keyhole.png │ └── logxint.png ├── letterfonts.tex ├── macros.tex ├── main.pdf └── main.tex ├── IGMO 2020 SL (Final) (Copy) ├── Figure 2.5.png ├── Figure 5.png ├── Figure1.2.png ├── Figure1.3.png ├── Figure1.4.png ├── Figure2.1.png ├── Figure2.2.png ├── IGMO SL.tex ├── IGMO_SIGMA png (2).png ├── Question Paper Round 1.tex ├── Question Paper Round 2.tex └── problem credit.tex ├── Importnt Math Links ├── Important Math Links.pdf └── Important Math Links.tex ├── Inequalities Proposed by xzlbq in AOPS ├── Inequalities Proposed by xzlbq in AOPS.pdf ├── Inequalities Proposed by xzlbq in AOPS.tex ├── Pictures │ ├── 6.jpg │ └── pictures.md ├── ReadMe.md └── structure.tex ├── Instagram Math Posts ├── Functional Equation Series │ └── Level 5 │ │ ├── 23-08-2020: Question.tex │ │ ├── 26-08-2020: Solutions.tex │ │ └── images │ │ └── 2.jpg ├── Math Theory Posts │ ├── 26-08-2020: Cauchy-Schwarz Inequality │ │ ├── 03-09-2020: Road to Holder from QM-AM-Gm-HM and Cauchy Schwarz │ │ │ ├── Page 1.tex │ │ │ ├── Page 2.tex │ │ │ ├── Page 3.tex │ │ │ ├── Page 4.tex │ │ │ ├── Page 5.tex │ │ │ ├── Page 6-1.tex │ │ │ ├── Page 6-2.tex │ │ │ ├── Page 7.tex │ │ │ └── Page 8.tex │ │ └── Cauchy-Schwarz Updated.tex │ ├── 30-07-2020: Holder Inequality │ │ ├── Page 1.tex │ │ ├── Page 2.tex │ │ ├── Page 6.tex │ │ ├── Page 7.tex │ │ └── frontpage.tex │ └── 31-08-2020: Number of Arrangements n Balls into r Boxes │ │ └── document[1].tex ├── Read Me.md └── Regular Qestions │ ├── 02-09-2020: Regular Question │ ├── 02-09-2020: Question.tex │ └── 04-09-2020: Solution.tex │ ├── 02-09-2020: Solutions.tex │ └── 28-08-2020: Regular Question │ ├── 30-08-2020: Question.tex │ └── 30-08-2020: Solution.tex ├── Internships ├── 2023 - Summer Internship.pdf ├── 2023 - Summer Internship.tex ├── chapters │ └── ch-vf_fact.tex ├── letterfonts.tex ├── macros.tex ├── preamble-formal.tex └── refs.bib ├── Journals ├── Journals.pdf └── Journals.tex ├── LICENSE ├── Manuals ├── Git │ ├── git-help.pdf │ ├── git-help.tex │ └── images │ │ ├── branches.png │ │ ├── comment-on-pr.png │ │ └── git-workflow.png └── Vim │ ├── vim_notes.pdf │ └── vim_notes.tex ├── Old and New Inequalities Volume 2 ├── Old and New Inequalities Volume 2 Solution.pdf ├── Old and New Inequalities Volume 2 Solution.tex ├── Old and New Inequalities Volume 2.pdf ├── Old and New Inequalities Volume 2.tex └── Pictures │ ├── 1.jpg │ └── 2.jpg ├── PROMYS 2020 ├── PROMYS 2020.pdf ├── PROMYS 2020.tex └── images │ ├── a.jpg │ ├── b.jpg │ └── c.jpg ├── README.md ├── Talk on ACT factorization ├── Images │ └── Untitled.png ├── ref.bib ├── template.bbl ├── template.bcf ├── template.blg ├── template.nav ├── template.pdf ├── template.run.xml ├── template.snm └── template.tex ├── Templates ├── Beamer │ ├── BNU Beamer Theme │ │ ├── BNU_beamer_theme.sty │ │ ├── ctex.zip │ │ ├── ctex │ │ │ ├── README.md │ │ │ ├── ctex-zhconv-make.lua │ │ │ ├── ctex-zhconv.lua │ │ │ ├── ctex.dtx │ │ │ ├── ctex.pdf │ │ │ ├── ctexpunct.spa │ │ │ ├── ctxdoc.cls │ │ │ └── ctxdocstrip.tex │ │ ├── pic │ │ │ ├── BNU_background.png │ │ │ ├── BNU_com.png │ │ │ ├── Beijing_Normal_University_Logo-eps-converted-to.pdf │ │ │ ├── Beijing_Normal_University_Logo.eps │ │ │ └── fq_syn.pdf │ │ ├── ref.bib │ │ ├── slide.pdf │ │ └── slide.tex │ ├── Beamer - Instituto Politécnico de Bragança - ESTiG │ │ ├── Imagens │ │ │ └── logo.png │ │ ├── beamerIntro.nav │ │ ├── beamerIntro.pdf │ │ ├── beamerIntro.snm │ │ ├── beamerIntro.tex │ │ ├── beamerIntro.vrb │ │ └── bibliography.bib │ └── Template Latex - Apresentação - IFSP - SBV │ │ ├── 00Referencias.tex │ │ ├── 01Capa.tex │ │ ├── 02Introducao.tex │ │ ├── 03RevisaoLiteraturaConsideracoesGerais.tex │ │ ├── 04Metodologia.tex │ │ ├── 05Resultados.tex │ │ ├── 06Conclusao.tex │ │ ├── 07Exemplos.tex │ │ ├── Template Latex - Apresentacao - IFSP - SBV.bbl │ │ ├── Template Latex - Apresentacao - IFSP - SBV.blg │ │ ├── Template Latex - Apresentacao - IFSP - SBV.brf │ │ ├── Template Latex - Apresentacao - IFSP - SBV.nav │ │ ├── Template Latex - Apresentacao - IFSP - SBV.pdf │ │ ├── Template Latex - Apresentacao - IFSP - SBV.snm │ │ ├── Template Latex - Apresentacao - IFSP - SBV.tex │ │ ├── estruturaApresentacao.sty │ │ ├── fontes │ │ └── ClasseExemplo.java │ │ ├── imagens │ │ ├── capa.png │ │ ├── exemploFigura.jpg │ │ ├── exemploQuadro.png │ │ └── logo.png │ │ └── referencias.bib ├── Book │ ├── Calladium simple │ │ ├── cal-blanco-texto.png │ │ ├── cal_negro.png │ │ ├── cal_rosa.png │ │ ├── cover.png │ │ ├── cubierta_int.png │ │ ├── main.pdf │ │ └── main.tex │ ├── Caraumã │ │ ├── content │ │ │ └── chapter1.tex │ │ ├── frontmatter │ │ │ ├── backpage.tex │ │ │ ├── copyrightpage.tex │ │ │ ├── logo-black.png │ │ │ ├── logo-white.png │ │ │ ├── preface.tex │ │ │ ├── titlepage.tex │ │ │ └── tocpage.tex │ │ ├── main.tex │ │ └── misc │ │ │ └── options.sty │ ├── CoverPageViolet │ │ ├── main.pdf │ │ └── main.tex │ ├── LatHex Forta │ │ ├── LICENSE.txt │ │ ├── README.md │ │ ├── context.tex │ │ ├── dark.tex │ │ ├── forta.tex │ │ ├── images │ │ │ ├── dark-page.png │ │ │ ├── dark-title.png │ │ │ ├── forta-page.png │ │ │ ├── forta-title.png │ │ │ ├── light-page.png │ │ │ ├── light-title.png │ │ │ ├── logo.png │ │ │ ├── orange1.jpg │ │ │ ├── orange2.jpg │ │ │ ├── orange3.jpg │ │ │ └── placeholder.jpg │ │ ├── light.tex │ │ ├── main.pdf │ │ ├── main.tex │ │ ├── sections │ │ │ ├── appendices │ │ │ │ ├── adipiscing.tex │ │ │ │ └── consectetur.tex │ │ │ ├── part1 │ │ │ │ ├── phasellus.tex │ │ │ │ └── quam.tex │ │ │ └── part2 │ │ │ │ ├── accumsan.tex │ │ │ │ └── dolor.tex │ │ └── template │ │ │ ├── book │ │ │ ├── background.tex │ │ │ ├── bibliography.tex │ │ │ ├── cover.tex │ │ │ ├── main.tex │ │ │ ├── page.tex │ │ │ ├── titles.tex │ │ │ └── toc.tex │ │ │ ├── forta │ │ │ ├── background.tex │ │ │ ├── cover.tex │ │ │ ├── figures.tex │ │ │ ├── fonts.tex │ │ │ ├── fonts │ │ │ │ ├── NeueHaasDisplayBlack.ttf │ │ │ │ ├── NeueHaasDisplayBlackItalic.ttf │ │ │ │ ├── NeueHaasDisplayBold.ttf │ │ │ │ ├── NeueHaasDisplayBoldItalic.ttf │ │ │ │ ├── NeueHaasDisplayLight.ttf │ │ │ │ ├── NeueHaasDisplayLightItalic.ttf │ │ │ │ ├── NeueHaasDisplayMedium.ttf │ │ │ │ ├── NeueHaasDisplayMediumItalic.ttf │ │ │ │ ├── NeueHaasDisplayRoman.ttf │ │ │ │ ├── NeueHaasDisplayRomanItalic.ttf │ │ │ │ ├── NeueHaasDisplayThin.ttf │ │ │ │ ├── NeueHaasDisplayThinItalic.ttf │ │ │ │ ├── NeueHaasDisplayXThin.ttf │ │ │ │ ├── NeueHaasDisplayXThinItalic.ttf │ │ │ │ ├── NeueHaasDisplayXXThin.ttf │ │ │ │ ├── NeueHaasDisplayXXThinItalic.ttf │ │ │ │ ├── NeueHaasTextBold.ttf │ │ │ │ ├── NeueHaasTextMedium.ttf │ │ │ │ └── NeueHaasTextRegular.ttf │ │ │ ├── headers.tex │ │ │ └── main.tex │ │ │ └── generic │ │ │ ├── boxes.tex │ │ │ ├── captions.tex │ │ │ ├── figures.tex │ │ │ ├── fonts.tex │ │ │ ├── fonts │ │ │ └── inconsolata │ │ │ │ ├── ChangeLog │ │ │ │ ├── Inconsolata-LGC-Bold.otf │ │ │ │ ├── Inconsolata-LGC-BoldItalic.otf │ │ │ │ ├── Inconsolata-LGC-Italic.otf │ │ │ │ ├── Inconsolata-LGC.otf │ │ │ │ ├── LICENSE │ │ │ │ └── README │ │ │ ├── geometry.tex │ │ │ ├── headers.tex │ │ │ ├── images.tex │ │ │ ├── links.tex │ │ │ ├── lists.tex │ │ │ ├── main.tex │ │ │ ├── math.tex │ │ │ ├── page.tex │ │ │ ├── syntax.tex │ │ │ ├── syntax │ │ │ └── solidity.tex │ │ │ ├── tables.tex │ │ │ ├── themes.tex │ │ │ └── titles.tex │ └── lix_novel_template │ │ ├── lix.sty │ │ ├── main.pdf │ │ ├── main.tex │ │ ├── novel.cls │ │ └── resources │ │ ├── novel_back.pdf │ │ └── novel_front.pdf └── CV │ ├── AlgoUniversity Student Resume Template │ ├── main.pdf │ └── main.tex │ ├── IIIT Kurnool Resume │ ├── logo.jpeg │ ├── main.pdf │ └── main.tex │ ├── MTeck's Resume │ ├── main.pdf │ └── main.tex │ ├── NIT Raipur MME OnCampus │ ├── main.pdf │ └── main.tex │ └── Naman_CV │ ├── README.md │ ├── citations.bib │ ├── cv.pdf │ └── cv.tex ├── courses_scribes ├── arithmetic_circuits_-_nitin_saxena │ ├── lecture_notes.bbl │ ├── lecture_notes.blg │ ├── lecture_notes.pdf │ ├── lecture_notes.tex │ ├── letterfonts.tex │ ├── macros.tex │ ├── p1-intro.tex │ ├── p2-detabp.tex │ ├── preamble.tex │ ├── refs.bib │ ├── temp.pdf │ └── temp.tex ├── complexity_prahlad-ramprasad │ ├── complexity_theory-prahlad-ramprasad.pdf │ ├── complexity_theory-prahlad-ramprasad.tex │ ├── letterfonts.tex │ ├── macros.tex │ ├── preamble-formal.tex │ └── refs.bib └── preamble.tex └── qq /.gitignore: -------------------------------------------------------------------------------- 1 | ## Core latex/pdflatex auxiliary files: 2 | *.aux 3 | *.lof 4 | *.log 5 | *.lot 6 | *.fls 7 | *.out 8 | *.toc 9 | *.upa 10 | 11 | *.zip 12 | # gitinfo 13 | *.gin 14 | 15 | # Backup files 16 | *.fuse* 17 | *~ 18 | 19 | ## Intermediate documents: 20 | *.dvi 21 | *-converted-to.* 22 | # these rules might exclude image files for figures etc. 23 | # *.ps 24 | # *.eps 25 | *.pdf 26 | */auto/* 27 | auto/* 28 | *.swp 29 | *.xdv 30 | *.vtc 31 | 32 | ## Bibliography auxiliary files (bibtex/biblatex/biber): 33 | *.bbl 34 | *.bcf 35 | *.blg 36 | *-blx.aux 37 | *-blx.bib 38 | *.brf 39 | *.run.xml 40 | 41 | ## Build tool auxiliary files: 42 | *.fdb_latexmk 43 | *.latexmkrc 44 | *.pdfsync 45 | *.synctex* 46 | 47 | ## Auxiliary and intermediate files from other packages: 48 | 49 | # algorithms 50 | *.alg 51 | *.loa 52 | 53 | # amsthm 54 | *.thm 55 | 56 | # beamer 57 | *.nav 58 | *.snm 59 | *.vrb 60 | 61 | #(e)ledmac/(e)ledpar 62 | *.end 63 | *.[1-9] 64 | *.[1-9][0-9] 65 | *.[1-9][0-9][0-9] 66 | *.[1-9]R 67 | *.[1-9][0-9]R 68 | *.[1-9][0-9][0-9]R 69 | *.eledsec[1-9] 70 | *.eledsec[1-9]R 71 | *.eledsec[1-9][0-9] 72 | *.eledsec[1-9][0-9]R 73 | *.eledsec[1-9][0-9][0-9] 74 | *.eledsec[1-9][0-9][0-9]R 75 | 76 | # glossaries 77 | *.acn 78 | *.acr 79 | *.glg 80 | *.glo 81 | *.gls 82 | 83 | # hyperref 84 | *.brf 85 | 86 | # listings 87 | *.lol 88 | 89 | # makeidx 90 | *.idx 91 | *.ilg 92 | *.ind 93 | *.ist 94 | 95 | # minitoc 96 | *.maf 97 | *.mtc 98 | *.mtc0 99 | 100 | # minted 101 | *.pyg 102 | *.pyc 103 | 104 | # morewrites 105 | *.mw 106 | 107 | # nomencl 108 | *.nlo 109 | 110 | # sagetex 111 | *.sagetex.sage 112 | *.sagetex.py 113 | *.sagetex.scmd 114 | 115 | # sympy 116 | *.sout 117 | *.sympy 118 | sympy-plots-for-*.tex/ 119 | 120 | # todonotes 121 | *.tdo 122 | 123 | # xindy 124 | *.xdy 125 | 126 | # dropbox nonsense 127 | .dropbox 128 | *conflicted copy 129 | 130 | 131 | # Custom ignore rules 132 | ignore-* 133 | *-ign 134 | .dropbox 135 | *.orig 136 | sha.tex 137 | -------------------------------------------------------------------------------- /Blogs/document.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Blogs/document.pdf -------------------------------------------------------------------------------- /Blogs/document2.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Blogs/document2.pdf -------------------------------------------------------------------------------- /Blogs/document2.tex: -------------------------------------------------------------------------------- 1 | \documentclass{article} 2 | \usepackage{fullpage} 3 | \usepackage{hyperref} 4 | \begin{document} 5 | \begin{enumerate} 6 | \item Cut the knot - \url{https://www.cut-the-knot.org/} 7 | \item The MAth Less Traveled- \url{https://mathlesstraveled.com/} 8 | \item Area 777 - \url{https://conan777.wordpress.com/} 9 | \item Disquisitions Mathematicae - \url{https://matheuscmss.wordpress.com/} 10 | \item The Problems Solver's Paradise - \url{https://problemsolversparadise.wordpress.com/} 11 | \item Mathchallenge.net - \url{https://mathschallenge.net/} 12 | \item Purdue Science - \url{https://www.math.purdue.edu/pow/archive} 13 | \item Mathematical Education Centre - \url{http://www.i-olymp.net/ee.asp} 14 | \item Mathematical Problem Solving -\url{https://people.kth.se/~shapiro/problem.html} 15 | \item Nick's Mathematical Puzzle - \url{http://www.qbyte.org/puzzles/} 16 | \item Singapur International Math Olympiad - \url{http://sms.math.nus.edu.sg/simo/simo.aspx} 17 | \item Mathematics Problem Books - \url{http://sms.math.nus.edu.sg/simo/simo.aspx} 18 | \item Mathematical Oli Forum - \url{http://www.oliforum.it/} 19 | \end{enumerate} 20 | \end{document} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 1/Algebra Assignment 1.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 1/Algebra Assignment 1.pdf -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 1/Algebra Assignment 2.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 1/Algebra Assignment 2.pdf -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 1/Analysis Assignment 1.pdf: 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Mechanics P9.pdf -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 1/English Assignment 1.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 1/English Assignment 1.pdf -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 1/English Assignment 2.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 1/English Assignment 2.pdf -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 1/English Assignment 2.tex: -------------------------------------------------------------------------------- 1 | \documentclass{article} 2 | \usepackage{fullpage} 3 | \usepackage{amsmath} 4 | \usepackage{amsfonts} 5 | \usepackage{authblk} 6 | \usepackage{titling} 7 | \usepackage{tikz} 8 | 9 | \title{\huge{English Assignment 2\\\hspace{7cm}- Usha Mahadevan} 10 | } 11 | \author{Soham Chatterjee\\Roll: BMC202175} 12 | \date{} 13 | \setlength{\parindent}{1cm} 14 | \renewcommand\maketitlehooka{\null\mbox{}\vfill} 15 | \renewcommand\maketitlehookd{\vfill\null} 16 | \begin{document} 17 | \maketitle\pagebreak 18 | \textbf{Question:} Imagine you are Philip making a diary entry. Write in about 200 words how you expected the meeting with Uncle James to turn out and how it turned out eventually. Focus the writing on your thoughts and emotions. 19 | 20 | \textbf{Answer:} Those four years were not so easy. Now it is immeasurable peace to get up little late in the morning. Though I had to remain hungry for some time. But in the mean time I visited Aunt Emily. She is the most caring person I had seen in my life. She suddenly talked about Uncle James while we were having a conversation. Uncle James was always very strict and rude with me. I was worrying how he will react to my late getting up. Aunt Emily asked me to meet Uncle James and she told me that Uncle James is waiting for me. That got me pretty worried. However I went to the dining room to have my breakfast. Uncle was asleep in front of the fire. When I was halfway done he woke up and he didn't react to my being late for breakfast, instead he laughed. We started talking quite frankly. Though he shivered when I took out my pipe but didn't oppose me when I asked if I Could smoke. He was taking strangely like if I wanted to become an architect. He then asked me if I would join his jam business. Though I had no problem but it seemed that Uncle James didn't expected me to reply that. In short the whole conversation was completely opposite to his usual character. 21 | \end{document} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 1/English Assignment 3.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 1/English Assignment 3.pdf -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 1/English Assignment 4.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 1/English Assignment 4.pdf -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 1/English Assignment 5.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 1/English Assignment 5.pdf -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 1/images/1.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 1/images/1.jpg -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 1/images/2.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 1/images/2.jpg -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 1/images/3.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 1/images/3.jpg -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 2/ana2-endsem.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 2/ana2-endsem.pdf -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 2/analysis_class-note.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 2/analysis_class-note.pdf -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 2/analysis_class-note.tex: -------------------------------------------------------------------------------- 1 | \documentclass{report} 2 | 3 | \input{preamble} 4 | \input{macros} 5 | \input{letterfonts} 6 | 7 | \title{\Huge{Analysis 2 Lecture Notes}\\ \hspace{4cm}-- Upendra Kulkarni} 8 | \author{\huge{Soham Chatterjee}} 9 | \date{} 10 | 11 | 12 | 13 | 14 | \begin{document} 15 | \thispagestyle{empty} 16 | \mytitleb{Analysis 2}{Lecturer: Upendra Kulkarni}{Scribe: Soham Chatterjee}{2021} 17 | \newpage% or \cleardoublepage 18 | \vspace*{5cm} 19 | 20 | \begin{center} 21 | \textbf{Introduction} 22 | \end{center} 23 | 24 | This is the lecture notes scribed by me. If you find any mistakes in the notes please email me at \url{sohamc@cmi.ac.in}. 25 | 26 | The whole course is taken by Prof. Upendra Kulkarni, online. If you want the lecture videos then you can find them in \href{https://youtube.com/playlist?list=PL8I7rVYxS9smyQemVlU10yF9F37ZQN38P}{this link}. Sir mainly followed Prof. Pramath Sastry's Notes (\url{https://www.cmi.ac.in/~pramath/teaching.html#ANA2}). You can find all the assignments problems in the following \href{https://drive.google.com/drive/folders/1dODMladIJ1f4BfMXVxoU5_YkfmWU8v4q?usp=share_link}{drive link}. Through out the course the book we followed is Principles of Mathematical Analysis by Walter Rudin. 27 | \pagebreak 28 | 29 | % \pdfbookmark[]{}{<dest>} 30 | \pdfbookmark[section]{\contentsname}{toc} 31 | \tableofcontents 32 | \pagebreak 33 | 34 | \include{ch01-norm} 35 | 36 | \include{ch02-metric-space} 37 | 38 | \include{ch03-metric-space-continuity} 39 | 40 | \include{ch04-norm-eq} 41 | 42 | \include{ch05-compactness} 43 | 44 | \include{ch06-differentiation} 45 | 46 | \include{ch07-differentiation-problems} 47 | 48 | \include{ch08-chain-and-operator} 49 | 50 | \include{ch09-mean-value-theorem} 51 | 52 | \include{ch10-higher-derivatives} 53 | 54 | \include{ch11-multivariable taylor-theorem} 55 | 56 | \include{ch12-maxima-minima} 57 | 58 | \include{ch13-example-critp-localmaxmin} 59 | 60 | \include{ch14-lagrange-multiplier} 61 | 62 | \include{ch15-inverse-function} 63 | 64 | \include{ch16-implicit-function} 65 | 66 | \include{ch17-complex-differentitaion} 67 | 68 | \end{document} 69 | 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& $b$ \\ \hline 20 | $a$ & $a$ & $q_2$ \\ \hline 21 | \end{tabular} & $\longrightarrow$ & Legal &\hspace{6cm} & \begin{tabular}{|c|c|c|} 22 | \hline 23 | $\#$ & $b$ & $a$\\ \hline 24 | $\#$ & $b$ & $a$\\ \hline 25 | \end{tabular}& $\longrightarrow$ & Illegal & \\[5mm] 26 | \begin{tabular}{|c|c|c|} 27 | \hline 28 | $a$ & $b$ & $a$ \\ \hline 29 | $a$ & $b$ & $q_2$ \\ \hline 30 | \end{tabular} & $\longrightarrow$ & Legal &\hspace{6cm} & & & & 31 | \end{tabular} 32 | 33 | 34 | \end{document} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 4/complexity_lecture/images/1.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 4/complexity_lecture/images/1.png -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 4/complexity_lecture/lec01.pdf: 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-------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 4/topology_cheatsheet.pdf -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 4/topology_cheatsheet.tex: -------------------------------------------------------------------------------- 1 | \documentclass{article} 2 | \input{preamble-topocheat} 3 | \title{Topology Theorems} 4 | \author{Soham Chatterjee and Sougata Panda} 5 | \date{\today} 6 | 7 | \input{macros} 8 | \input{letterfonts} 9 | 10 | \begin{document} 11 | \maketitle 12 | \end{document} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/ACT Presentation/README.md: -------------------------------------------------------------------------------- 1 | # algorithmic-coding-theory-aks 2 | We keep the files related to the Report on Algebraic Geometric Codes for the Algorithmic Coding Theory Course taken by Amit Kumar Sinhababu. 3 | -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/ACT Presentation/act-report.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 5/ACT Presentation/act-report.pdf -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/ACT Presentation/ch-abstract.tex: -------------------------------------------------------------------------------- 1 | \vspace{4cm} 2 | 3 | \begin{abstract} 4 | We, Soham Chatterjee, Bsc 2nd Year, Math and Computer Science and Shree Ganesh S J, Msc 2nd Year, Computer Science students of Chennai Mathematical Institute have created this report for the presentation on the introduction of Algebraic Geometric Codes to Prof. Amit Kumar Sinhababu for the course Algorithmic Coding Theory. We mainly followed the survey \cite{agcodesurvey}. We also followed the course on Algebraic Geometric Codes by Gil Cohen, \cite{gilcohen}. He followed the book \cite{Stichtenoth}. Initial works on Algebraic Geometric Codes were done by V. D. Goppa that is why these codes are also called \textit{Goppa Codes}. Goppa submitted his seminal paper \cite{goppafirst} in June 1975. Goppa also published more papers on this topic, \cite{Goppa1981CodesOA}, \cite{Goppa1984CodesAI}. Later he published a book on Goppa Codes, \cite{Goppa1988GeometryAC}. There are two more books \cite{Tsfasman1991AlgebraicGeometricC} and \cite{agcodetsvlamichael} on Algebraic Geometric Codes. 5 | \end{abstract} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/ACT Presentation/demo.bib: -------------------------------------------------------------------------------- 1 | @article{Knuth92, 2 | author = "D.E. Knuth", 3 | title = "Two notes on notation", 4 | journal = "Amer. Math. Monthly", 5 | volume = "99", 6 | year = "1992", 7 | pages = "403--422", 8 | } 9 | 10 | @book{ConcreteMath, 11 | author = "R.L. Graham and D.E. Knuth and O. Patashnik", 12 | title = "Concrete mathematics", 13 | publisher = "Addison-Wesley", 14 | address = "Reading, MA", 15 | year = "1989" 16 | } 17 | 18 | @unpublished{Simpson, 19 | author = "H. Simpson", 20 | title = "Proof of the {R}iemann {H}ypothesis", 21 | note = "preprint (2003), available at 22 | \texttt{http://www.math.drofnats.edu/riemann.ps}", 23 | year = "2003" 24 | } 25 | 26 | @incollection{Er01, 27 | author = "P. Erd{\H o}s", 28 | title = "A selection of problems and results in combinatorics", 29 | booktitle = "Recent trends in combinatorics (Matrahaza, 1995)", 30 | publisher = "Cambridge Univ. Press", 31 | address = "Cambridge", 32 | pages = "1--6", 33 | year = "1995" 34 | } 35 | @article{greenwade93, 36 | author = "George D. Greenwade", 37 | title = "The {C}omprehensive {T}ex {A}rchive {N}etwork ({CTAN})", 38 | year = "1993", 39 | journal = "TUGBoat", 40 | volume = "14", 41 | number = "3", 42 | pages = "342--351" 43 | } 44 | -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/Algorithmic Coding Theory/act2-lec-notes.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 5/Algorithmic Coding Theory/act2-lec-notes.pdf -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/Algorithmic Coding Theory/ch-probref.tex: -------------------------------------------------------------------------------- 1 | \chapter{Appendix} 2 | \section{Probabilistic Inequalities} 3 | \begin{theorem}[Markov's Inequality]\label{markov} 4 | For any random variable $X$ and $a>0$ $$Pr[X\geq a]\leq \frac{\bbE[X]}{a}$$ 5 | \end{theorem} 6 | \begin{theorem}[Chebyshev's Inequality]\label{chebyshev} 7 | For a random variable with variance $\sg$, and expected value $\mu$ with $a\geq 0$ $$Pr[|X-\mu|\geq a]\leq \frac{\text{Var}[X]}{a^2}$$ 8 | \end{theorem} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/Algorithmic Coding Theory/refs.bib: -------------------------------------------------------------------------------- 1 | @inproceedings{highratesublin, 2 | author = {Kopparty, Swastik and Saraf, Shubhangi and Yekhanin, Sergey}, 3 | year = {2011}, 4 | month = {06}, 5 | pages = {167-176}, 6 | title = {High-Rate Codes with Sublinear-Time Decoding}, 7 | volume = {61}, 8 | journal = {Journal of the ACM}, 9 | doi = {10.1145/1993636.1993660} 10 | } 11 | @article{ldcsergeysurvey, 12 | url = {http://dx.doi.org/10.1561/0400000030}, 13 | year = {2012}, 14 | volume = {6}, 15 | journal = {Foundations and Trends in Theoretical Computer Science}, 16 | title = {Locally Decodable Codes}, 17 | doi = {10.1561/0400000030}, 18 | issn = {1551-305X}, 19 | number = {3}, 20 | pages = {139-255}, 21 | author = {Sergey Yekhanin} 22 | } 23 | @article{kopparty2015remarks, 24 | author = {Swastik Kopparty}, 25 | title = {Some remarks on multiplicity codes}, 26 | journal = {CoRR}, 27 | volume = {abs/1505.07547}, 28 | year = {2015}, 29 | url = {http://arxiv.org/abs/1505.07547}, 30 | eprinttype = {arXiv}, 31 | eprint = {1505.07547}, 32 | timestamp = {Mon, 13 Aug 2018 16:47:13 +0200}, 33 | biburl = {https://dblp.org/rec/journals/corr/Kopparty15.bib}, 34 | bibsource = {dblp computer science bibliography, https://dblp.org} 35 | } 36 | @book{HirschfeldKorchmárosTorres+2008, 37 | url = {https://doi.org/10.1515/9781400847419}, 38 | title = {Algebraic Curves over a Finite Field}, 39 | author = {J. W. P. Hirschfeld and G. Korchmáros and F. Torres}, 40 | publisher = {Princeton University Press}, 41 | address = {Princeton}, 42 | doi = {doi:10.1515/9781400847419}, 43 | isbn = {9781400847419}, 44 | year = {2008}, 45 | lastchecked = {2023-10-31} 46 | } 47 | 48 | 49 | 50 | @INPROCEEDINGS{dvir2009extensions, 51 | author={Dvir, Zeev and Kopparty, Swastik and Saraf, Shubhangi and Sudan, Madhu}, 52 | booktitle={2009 50th Annual IEEE Symposium on Foundations of Computer Science}, 53 | title={Extensions to the Method of Multiplicities, with Applications to Kakeya Sets and Mergers}, 54 | year={2009}, 55 | volume={}, 56 | number={}, 57 | pages={181-190}, 58 | doi={10.1109/FOCS.2009.40}} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/Homework_Template/images/jct.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 5/Homework_Template/images/jct.png 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-------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/Parallel Lecture Notes/lec1.tex: -------------------------------------------------------------------------------- 1 | \section{a} 2 | 3 | \section{a1} 4 | -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/Parallel Lecture Notes/lec2.tex: -------------------------------------------------------------------------------- 1 | \section{b} 2 | \section{b1} 3 | -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/Parallel Lecture Notes/lec3.tex: -------------------------------------------------------------------------------- 1 | \section{c} 2 | -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/Parallel Lecture Notes/newclass.tex: -------------------------------------------------------------------------------- 1 | \newclass{\itadd}{IterADD} 2 | \newclass{\add}{ADD} \newclass{\addn}{ADD_{2n}} 3 | \newclass{\acz}{$AC^0$} \newclass{\ack}{$AC^k$} 4 | \newclass{\ncz}{$NC^0$} \newclass{\nck}{$NC^k$} 5 | \newclass{\bcount}{BCOUNT} 6 | \newclass{\ucount}{UCOUNT} 7 | \newclass{\thrs}{Threshold} 8 | \newclass{\mult}{MULT} 9 | \newclass{\maj}{Maj} 10 | \newclass{\majr}{Majority} 11 | \newclass{\sort}{SORT} 12 | 13 | \newclass{\pram}{PRAM} 14 | \newclass{\crcw}{CRCW} 15 | \newclass{\crcwp}{CRCW-PRAM} 16 | 17 | 18 | 19 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 20 | % Corrected Classes 21 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 22 | \renewcommand{\ack}{\ensuremath{\ComplexityFont{AC}^{\ComplexityFont{k}}}} 23 | \renewcommand{\acz}{\ensuremath{\ComplexityFont{AC}^{\ComplexityFont{0}}}} 24 | \renewcommand{\nck}{\ensuremath{\ComplexityFont{NC}^{\ComplexityFont{k}}}} 25 | \renewcommand{\ncz}{\ensuremath{\ComplexityFont{NC}^{\ComplexityFont{0}}}} 26 | \renewcommand{\addn}{\ensuremath{\ComplexityFont{ADD}_{\ComplexityFont{2n}}}} 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%\date{\LARGE 2023} 12 | 13 | %\addbibresource{refs.bib} 14 | \begin{document} 15 | %\begin{titlingpage} 16 | % \maketitle 17 | %\end{titlingpage} 18 | \thispagestyle{empty} 19 | \titleBC{Parallel Algorithm and Complexity: 2023} 20 | 21 | %{Soham Chatterjee}{\textbf{sohamchatterjee999@gmail.com \\ Website: \href{https://sohamch08.github.io/}{sohamch08.github.io}} 22 | 23 | \pagebreak 24 | \tableofcontents 25 | \pagebreak 26 | 27 | 28 | \input{lec01} 29 | \input{lec02} 30 | \input{lec03} 31 | \input{lec04} 32 | 33 | \input{lec10-11} 34 | \input{lec12} 35 | 36 | 37 | \pagebreak 38 | %\printbibliography 39 | \bibliographystyle{alpha} 40 | \bibliography{refs} 41 | \end{document} 42 | -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/Parallel Presentation Iterated Mod/Imagens/logo.png: -------------------------------------------------------------------------------- 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\rule{\unitlength}{0.4pt}\\[\baselineskip] 14 | {\Huge\scshape\color{white} #1}\\[\baselineskip] 15 | {\large\itshape Instructor: #2}\\[0.2\baselineskip] 16 | \rule{\unitlength}{0.4pt}\vspace*{-\baselineskip}\vspace{3.2pt} 17 | \rule{\unitlength}{1.6pt}\\[4\baselineskip] 18 | {\Large\scshape Scribe: Soham Chatterjee\\[10mm] sohamchatterjee999@gmail.com \\[2mm] Website: \href{https://sohamch08.github.io/}{sohamch08.github.io} }\par 19 | \vfill 20 | {\large\scshape 2023}\par 21 | \endgroup} 22 | 23 | \begin{document} 24 | 25 | \begin{titlepage} 26 | 27 | \begin{tikzpicture}[remember picture,overlay] 28 | \node [xshift=\paperwidth/2,yshift=\paperheight/2] at (current page.south west)[minimum width=\paperwidth,minimum height=\paperheight,top color=mycolor1,bottom color=mycolor2]{}; 29 | \end{tikzpicture}\\[3\baselineskip] 30 | 31 | \titre{Course Name}{Instructor Name} 32 | \end{titlepage} 33 | 34 | \end{document} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/titlepage-2.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 5/titlepage-2.pdf -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/titlepage-2.tex: -------------------------------------------------------------------------------- 1 | \RequirePackage[l2tabu,orthodox]{nag} 2 | \documentclass[12pt,oneside]{article} 3 | \usepackage[letterpaper,margin=1in]{geometry} 4 | \usepackage[T1]{fontenc} 5 | \usepackage{graphicx} 6 | \usepackage{float} 7 | 8 | \begin{document} 9 | 10 | % CODE (2) : 11 | \begin{titlepage} 12 | \hfill {}\par 13 | \vspace{0.25in} 14 | 15 | \begin{center} 16 | {Course number}\par 17 | \vspace{0.5in} 18 | \vspace*{\baselineskip} 19 | \rule{4.5in}{1.6pt}\vspace*{-\baselineskip}\vspace*{2pt} 20 | \rule{4.5in}{0.4pt}\\[\baselineskip] 21 | {\Huge\textsc{Book title}}\\[1\baselineskip] 22 | {\large Subtitle}\\[0.2\baselineskip] 23 | \rule{4.5in}{0.4pt}\vspace*{-\baselineskip}\vspace{3.2pt} 24 | \rule{4.5in}{1.6pt}\\[2\baselineskip] 25 | Author 26 | \vspace{0.5in} 27 | \begin{figure}[H] 28 | \centering 29 | \includegraphics[width=4.5in]{example-grid-100x100pt} 30 | \end{figure} 31 | \vfill 32 | version, town, year. 33 | \end{center} 34 | \end{titlepage} 35 | 36 | \end{document} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/titlepage-3.tex: -------------------------------------------------------------------------------- 1 | \newcommand*{\titlePP}{\begingroup% Printing Poetry 2 | \FSfont{5jr}% FontSite Jenson Recut (Centaur) 3 | \drop=0.1\textheight 4 | \vspace*{\drop} 5 | \begin{raggedleft} 6 | {\HUGE PUZZLING}\\[\baselineskip] 7 | {A WORKBOOK FOR RESOLUTIONS}\\[1.1\baselineskip] 8 | {\HUGE CONUNDRUMS} \\[\baselineskip] 9 | {\Large BY THE AUTHOR}\par 10 | \end{raggedleft} 11 | \vfill 12 | \begin{center} 13 | {\large THE PUBLISHER YEAR} 14 | \end{center} 15 | \vspace*{\drop} 16 | %\mbox{} 17 | \endgroup} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/titlepage-4.tex: -------------------------------------------------------------------------------- 1 | \newcommand*{\titleWH}{\begingroup% Words in their Hands 2 | \drop = 2\baselineskip 3 | \centering 4 | \vspace*{\drop} 5 | {\Huge SOME CONUNDRUMS}\\[\drop] 6 | \scalebox{8}[1]{{\wb{10}{12}4}}\\[\drop] 7 | {\Large\itshape A Collection of Puzzles by}\\[\baselineskip] 8 | {\Large THE AUTHOR}\\[\baselineskip] 9 | {\wb{10}{12}4}\\[\baselineskip] 10 | {\Large\itshape with a Commentary by}\\[\baselineskip] 11 | {\Large A N OTHER}\par 12 | \vfill 13 | \scalebox{8}[1]{{\wb{10}{12}4}}\\[\drop] 14 | {\Large THE PUBLISHER}\\ 15 | {\scshape year}\par 16 | \vspace*{\drop} 17 | \endgroup} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/titlepage-5.tex: -------------------------------------------------------------------------------- 1 | \newcommand*{\titlePM}{\begingroup% \titleGM with Ornaments 2 | \drop = 0.1\textheight 3 | \vspace*{\baselineskip} 4 | \vfill 5 | \hbox{% 6 | \hspace*{0.1\textwidth}% 7 | {\wb{18pt}{18pt} 8 | \begin{picture}(0,0) 9 | \multiput(0,0)(0,20){22}{\textcolor{Medium}{Q}} 10 | \end{picture} 11 | } 12 | % \rule{1pt}{\textheight} 13 | \hspace*{0.15\textwidth}% 14 | \parbox[b]{0.75\textwidth}{ 15 | \vbox{% 16 | \vspace{\drop} 17 | {\noindent\HUGE\bfseries Some\\[0.5\baselineskip] 18 | Conundrums}\\[2\baselineskip] 19 | {\Large\itshape Puzzles for the Mind}\\[4\baselineskip] 20 | {\Large THE AUTHOR}\par 21 | \vspace{0.5\textheight} 22 | {\noindent The Publisher}\\[\baselineskip] 23 | }}}% ends of vbox/parbox/hbox 24 | \vfill 25 | \null 26 | \endgroup} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/titlepage-6.tex: -------------------------------------------------------------------------------- 1 | \documentclass[11pt]{article} 2 | \usepackage[top=1in,bottom=1in,left=1.5in,right=1.5in]{geometry} 3 | \usepackage{graphicx, soul, tikz} 4 | 5 | \begin{document} 6 | \thispagestyle{empty} 7 | \newgeometry{top=0.5cm, bottom=0.5cm, left=0.5cm,right=0.5cm} 8 | \begin{figure}[h] 9 | \centering 10 | \begin{tikzpicture}[scale=0.85] 11 | \path[fill=white] (-10,-20) to[out=45,in=270] (4,10) -- (-10,10); 12 | \path[fill=white!75!teal] (-10,-19) to[out=50,in=270] (2,10) -- (-10,10); 13 | \path[fill=white!50!teal] (-10,-20) to[out=55,in=270] (0,10) -- (-10,10); 14 | \path[fill=green!67!blue] (-10,-20) to[out=60,in=270] (-2,10) -- (-10,10); 15 | \path[fill=teal!75!black] (-10,-20) to[out=65,in=270] (-4,10) -- (-10,10); 16 | \path[fill=black!60!teal] (-10,-20) to[out=70,in=270] (-6,10) -- (-10,10); 17 | \path[fill=white] (-10,-20) to[out=45,in=180] (14,-4.5) -- (14,-15); 18 | \path[fill=white!75!teal] (-10,-20) to[out=40,in=180] (14,-6.5) -- (14,-15); 19 | \path[fill=white!50!teal] (-10,-20) to[out=35,in=180] (14,-8.5) -- (14,-15); 20 | \path[fill=green!67!blue] (-10,-20) to[out=35,in=180] (14,-10.5) -- (14,-15); 21 | \path[fill=teal!75!black] (-10,-20) to[out=30,in=180] (14,-12.5) -- (14,-15); 22 | \path[fill=black!60!teal] (-10,-20) to[out=25,in=180] (14,-14.5) -- (14,-20) -- (-10,-20); 23 | \draw[thick] (-10,-20) to[out=45,in=270] (4,10); 24 | \draw[thick] (-10,-20) to[out=45,in=180] (14,-4.5); 25 | \node[black] at (8.5,4) {{\Huge \sc Title of work}}; 26 | \node[black] at (8.5,2) {{\Huge \sc Year}}; 27 | \node[black] at (8.5,0) {{\huge \sc Name of Author}}; 28 | \end{tikzpicture} 29 | \end{figure} 30 | \restoregeometry 31 | \end{document} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 5/titlepage.tex: -------------------------------------------------------------------------------- 1 | \newcommand*{\rotrt}[1]{\rotatebox{90}{#1}} % Command to rotate right 90 degrees 2 | \newcommand*{\rotlft}[1]{\rotatebox{-90}{#1}} % Command to rotate left 90 degrees 3 | \newcommand{\titleBC}[1]{\begingroup % Create the command for including the title page in the document 4 | \centering % Center all text 5 | 6 | \def\CP{\textit{\Huge #1}} % Title 7 | 8 | \settowidth{\unitlength}{\CP} % Set the width of the curly brackets to the width of the title 9 | {\color{LightGoldenrod}\resizebox*{\unitlength}{\baselineskip}{\rotrt{$\}$}}} \\[\baselineskip] % Print top curly bracket 10 | \textcolor{Sienna}{\CP} \\[\baselineskip] % Print title 11 | {\color{RosyBrown}\LARGE Scribe: Soham Chatterjee} \\ % Tagline or further description 12 | {\color{LightGoldenrod}\resizebox*{\unitlength}{\baselineskip}{\rotlft{$\}$}}} % Print bottom curly bracket 13 | 14 | \vfill % Whitespace between the title and the author name 15 | 16 | {\textbf{sohamchatterjee999@gmail.com \\ Website: \href{https://sohamch08.github.io/}{sohamch08.github.io} }}\\ % Author name 17 | 18 | \vfill % Whitespace between the author name and the publisher logo 19 | 20 | % Year published 21 | \endgroup} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 6/Expander Graphs/expanders.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CMI/B.Sc/Sem 6/Expander Graphs/expanders.pdf -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 6/Expander Graphs/refs.bib: -------------------------------------------------------------------------------- 1 | @Article{hlw06, 2 | author={Shlomo Hoory, Nathan Linial, Avi Wigderson}, 3 | title={Expander graphs and their applications}, 4 | journal={Bulletin of the AMS}, 5 | volume={43}, 6 | number={4}, 7 | pages={439-561}, 8 | year={2006}, 9 | } 10 | @Article{prcd, 11 | author={Cynthia Dwork, Prahladh Harsha}, 12 | title={CS369E: Expanders in Computer Science}, 13 | note = {\url{https://home.ttic.edu/~prahladh/teaching/spring05/lectures/cs369e_expanders.pdf}}, 14 | year={2006}, 15 | } 16 | @Article{lt, 17 | author={Luca Trevisan}, 18 | title={Lecture Notes on Graph Partitioning, Expanders and Spectral Methods}, 19 | note = {\url{https://home.ttic.edu/~prahladh/teaching/spring05/lectures/cs369e_expanders.pdf}}, 20 | year={2016}, 21 | } 22 | @course{shachar, 23 | author = {Shachar Lovett}, 24 | year = {2021}, 25 | Title = {CSE 291: Expander graphs and High-Dimensional Expanders}, 26 | note = {\url{https://cseweb.ucsd.edu/classes/sp21/cse291-g/}}, 27 | } -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 6/titlepage-1.tex: -------------------------------------------------------------------------------- 1 | \definecolor{mycolor1}{RGB}{110,120,180} 2 | \definecolor{mycolor2}{RGB}{240,240,240} 3 | \usepackage{anysize} 4 | \marginsize{1.5in}{1in}{0.5in}{0.5in} 5 | 6 | \newcommand*{\titre}[2]{\begingroup 7 | \newlength{\drop} 8 | \setlength{\drop}{0.1\textheight} 9 | \centering 10 | \settowidth{\unitlength}{\Huge\scshape La matière et l'espace\hspace{3pt}-temps} 11 | \vspace*{\baselineskip} 12 | \rule{\unitlength}{1.6pt}\vspace*{-\baselineskip}\vspace*{2pt} 13 | \rule{\unitlength}{0.4pt}\\[\baselineskip] 14 | {\Huge\scshape\color{white} #1}\\[\baselineskip] 15 | {\large\itshape Instructor: #2}\\[0.2\baselineskip] 16 | \rule{\unitlength}{0.4pt}\vspace*{-\baselineskip}\vspace{3.2pt} 17 | \rule{\unitlength}{1.6pt}\\[4\baselineskip] 18 | {\Large\scshape Scribe: Soham Chatterjee\\[10mm] sohamchatterjee999@gmail.com \\[2mm] Website: \href{https://sohamch08.github.io/}{sohamch08.github.io} }\par 19 | \vfill 20 | {\large\scshape 2023}\par 21 | \endgroup} 22 | 23 | \begin{document} 24 | 25 | \begin{titlepage} 26 | 27 | \begin{tikzpicture}[remember picture,overlay] 28 | \node [xshift=\paperwidth/2,yshift=\paperheight/2] at (current page.south west)[minimum width=\paperwidth,minimum height=\paperheight,top color=mycolor1,bottom color=mycolor2]{}; 29 | \end{tikzpicture}\\[3\baselineskip] 30 | 31 | \titre{Course Name}{Instructor Name} 32 | \end{titlepage} 33 | 34 | \end{document} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 6/titlepage-2.tex: -------------------------------------------------------------------------------- 1 | \RequirePackage[l2tabu,orthodox]{nag} 2 | \documentclass[12pt,oneside]{article} 3 | \usepackage[letterpaper,margin=1in]{geometry} 4 | \usepackage[T1]{fontenc} 5 | \usepackage{graphicx} 6 | \usepackage{float} 7 | 8 | \begin{document} 9 | 10 | % CODE (2) : 11 | \begin{titlepage} 12 | \hfill {}\par 13 | \vspace{0.25in} 14 | 15 | \begin{center} 16 | {Course number}\par 17 | \vspace{0.5in} 18 | \vspace*{\baselineskip} 19 | \rule{4.5in}{1.6pt}\vspace*{-\baselineskip}\vspace*{2pt} 20 | \rule{4.5in}{0.4pt}\\[\baselineskip] 21 | {\Huge\textsc{Book title}}\\[1\baselineskip] 22 | {\large Subtitle}\\[0.2\baselineskip] 23 | \rule{4.5in}{0.4pt}\vspace*{-\baselineskip}\vspace{3.2pt} 24 | \rule{4.5in}{1.6pt}\\[2\baselineskip] 25 | Author 26 | \vspace{0.5in} 27 | \begin{figure}[H] 28 | \centering 29 | \includegraphics[width=4.5in]{example-grid-100x100pt} 30 | \end{figure} 31 | \vfill 32 | version, town, year. 33 | \end{center} 34 | \end{titlepage} 35 | 36 | \end{document} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 6/titlepage-3.tex: -------------------------------------------------------------------------------- 1 | \newcommand*{\titlePP}{\begingroup% Printing Poetry 2 | \FSfont{5jr}% FontSite Jenson Recut (Centaur) 3 | \drop=0.1\textheight 4 | \vspace*{\drop} 5 | \begin{raggedleft} 6 | {\HUGE PUZZLING}\\[\baselineskip] 7 | {A WORKBOOK FOR RESOLUTIONS}\\[1.1\baselineskip] 8 | {\HUGE CONUNDRUMS} \\[\baselineskip] 9 | {\Large BY THE AUTHOR}\par 10 | \end{raggedleft} 11 | \vfill 12 | \begin{center} 13 | {\large THE PUBLISHER YEAR} 14 | \end{center} 15 | \vspace*{\drop} 16 | %\mbox{} 17 | \endgroup} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 6/titlepage-4.tex: -------------------------------------------------------------------------------- 1 | \newcommand*{\titleWH}{\begingroup% Words in their Hands 2 | \drop = 2\baselineskip 3 | \centering 4 | \vspace*{\drop} 5 | {\Huge SOME CONUNDRUMS}\\[\drop] 6 | \scalebox{8}[1]{{\wb{10}{12}4}}\\[\drop] 7 | {\Large\itshape A Collection of Puzzles by}\\[\baselineskip] 8 | {\Large THE AUTHOR}\\[\baselineskip] 9 | {\wb{10}{12}4}\\[\baselineskip] 10 | {\Large\itshape with a Commentary by}\\[\baselineskip] 11 | {\Large A N OTHER}\par 12 | \vfill 13 | \scalebox{8}[1]{{\wb{10}{12}4}}\\[\drop] 14 | {\Large THE PUBLISHER}\\ 15 | {\scshape year}\par 16 | \vspace*{\drop} 17 | \endgroup} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 6/titlepage-5.tex: -------------------------------------------------------------------------------- 1 | \newcommand*{\titlePM}{\begingroup% \titleGM with Ornaments 2 | \drop = 0.1\textheight 3 | \vspace*{\baselineskip} 4 | \vfill 5 | \hbox{% 6 | \hspace*{0.1\textwidth}% 7 | {\wb{18pt}{18pt} 8 | \begin{picture}(0,0) 9 | \multiput(0,0)(0,20){22}{\textcolor{Medium}{Q}} 10 | \end{picture} 11 | } 12 | % \rule{1pt}{\textheight} 13 | \hspace*{0.15\textwidth}% 14 | \parbox[b]{0.75\textwidth}{ 15 | \vbox{% 16 | \vspace{\drop} 17 | {\noindent\HUGE\bfseries Some\\[0.5\baselineskip] 18 | Conundrums}\\[2\baselineskip] 19 | {\Large\itshape Puzzles for the Mind}\\[4\baselineskip] 20 | {\Large THE AUTHOR}\par 21 | \vspace{0.5\textheight} 22 | {\noindent The Publisher}\\[\baselineskip] 23 | }}}% ends of vbox/parbox/hbox 24 | \vfill 25 | \null 26 | \endgroup} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 6/titlepage-6.tex: -------------------------------------------------------------------------------- 1 | \documentclass[11pt]{article} 2 | \usepackage[top=1in,bottom=1in,left=1.5in,right=1.5in]{geometry} 3 | \usepackage{graphicx, soul, tikz} 4 | 5 | \begin{document} 6 | \thispagestyle{empty} 7 | \newgeometry{top=0.5cm, bottom=0.5cm, left=0.5cm,right=0.5cm} 8 | \begin{figure}[h] 9 | \centering 10 | \begin{tikzpicture}[scale=0.85] 11 | \path[fill=white] (-10,-20) to[out=45,in=270] (4,10) -- (-10,10); 12 | \path[fill=white!75!teal] (-10,-19) to[out=50,in=270] (2,10) -- (-10,10); 13 | \path[fill=white!50!teal] (-10,-20) to[out=55,in=270] (0,10) -- (-10,10); 14 | \path[fill=green!67!blue] (-10,-20) to[out=60,in=270] (-2,10) -- (-10,10); 15 | \path[fill=teal!75!black] (-10,-20) to[out=65,in=270] (-4,10) -- (-10,10); 16 | \path[fill=black!60!teal] (-10,-20) to[out=70,in=270] (-6,10) -- (-10,10); 17 | \path[fill=white] (-10,-20) to[out=45,in=180] (14,-4.5) -- (14,-15); 18 | \path[fill=white!75!teal] (-10,-20) to[out=40,in=180] (14,-6.5) -- (14,-15); 19 | \path[fill=white!50!teal] (-10,-20) to[out=35,in=180] (14,-8.5) -- (14,-15); 20 | \path[fill=green!67!blue] (-10,-20) to[out=35,in=180] (14,-10.5) -- (14,-15); 21 | \path[fill=teal!75!black] (-10,-20) to[out=30,in=180] (14,-12.5) -- (14,-15); 22 | \path[fill=black!60!teal] (-10,-20) to[out=25,in=180] (14,-14.5) -- (14,-20) -- (-10,-20); 23 | \draw[thick] (-10,-20) to[out=45,in=270] (4,10); 24 | \draw[thick] (-10,-20) to[out=45,in=180] (14,-4.5); 25 | \node[black] at (8.5,4) {{\Huge \sc Title of work}}; 26 | \node[black] at (8.5,2) {{\Huge \sc Year}}; 27 | \node[black] at (8.5,0) {{\huge \sc Name of Author}}; 28 | \end{tikzpicture} 29 | \end{figure} 30 | \restoregeometry 31 | \end{document} -------------------------------------------------------------------------------- /CMI/B.Sc/Sem 6/titlepage.tex: -------------------------------------------------------------------------------- 1 | \newcommand*{\rotrt}[1]{\rotatebox{90}{#1}} % Command to rotate right 90 degrees 2 | \newcommand*{\rotlft}[1]{\rotatebox{-90}{#1}} % Command to rotate left 90 degrees 3 | \newcommand{\titleBC}[1]{\begingroup % Create the command for including the title page in the document 4 | \centering % Center all text 5 | 6 | \def\CP{\textit{\Huge #1}} % Title 7 | 8 | \settowidth{\unitlength}{\CP} % Set the width of the curly brackets to the width of the title 9 | {\color{LightGoldenrod}\resizebox*{\unitlength}{\baselineskip}{\rotrt{$\}$}}} \\[\baselineskip] % Print top curly bracket 10 | \textcolor{Sienna}{\CP} \\[\baselineskip] % Print title 11 | {\color{RosyBrown}\LARGE Scribe: Soham Chatterjee} \\ % Tagline or further description 12 | {\color{LightGoldenrod}\resizebox*{\unitlength}{\baselineskip}{\rotlft{$\}$}}} % Print bottom curly bracket 13 | 14 | \vfill % Whitespace between the title and the author name 15 | 16 | {\textbf{sohamchatterjee999@gmail.com \\ Website: \href{https://sohamch08.github.io/}{sohamch08.github.io} }}\\ % Author name 17 | 18 | \vfill % Whitespace between the author name and the publisher logo 19 | 20 | % Year published 21 | \endgroup} -------------------------------------------------------------------------------- /CMI/B.Sc/cmi.md: -------------------------------------------------------------------------------- 1 | All latex files of all sems 2 | -------------------------------------------------------------------------------- /CV/achievements.tex: -------------------------------------------------------------------------------- 1 | \begin{rubric}{Achievements} 2 | \entry*[2024] Ranked 5 in the Joint Entrance Screening Test I-PhD exam for Theoretical Computer Science. 3 | \entry*[2021] Got selected for NISER for Bachelors through the NEST exam. 4 | \entry*[2020] Ranked 28 in 12$^{th}$ Statistics Olympiad organised by C R Rao Advanced Institute of Mathematics, Statistics and Computer Science. 5 | \end{rubric} -------------------------------------------------------------------------------- /CV/comment.cut: -------------------------------------------------------------------------------- 1 | \photo[r]{photo} 2 | \photoscale{0.13} 3 | -------------------------------------------------------------------------------- /CV/computer-skills.tex: -------------------------------------------------------------------------------- 1 | \begin{rubric}{Computer Skills} 2 | \entry*[Languages] \LaTeX (Advanced), Python (Intermediate), Qiskit (Intermediate), Haskell (Basic), Java (Basic), C (Basic), Unix/Linux Shell Scripting, HTML (Basic), CSS (Basic). 3 | \entry*[Tools] Git, Basic works in terminal, VIM, Obsidian 4 | \end{rubric} -------------------------------------------------------------------------------- /CV/cv-llt.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CV/cv-llt.pdf -------------------------------------------------------------------------------- /CV/education.tex: -------------------------------------------------------------------------------- 1 | \begin{rubric}{Education} 2 | \entry*[2024 -- current]% 3 | \textbf{I-Ph.D~Computer Science, Tata Institute of Fundamental Research, Mumbai} 4 | % \par Thesis title: \emph{Low-Cost Mana Generation in Under-Resouced Evironments.} 5 | % 6 | \entry*[2021 -- 2024]% 7 | \textbf{B.Sc.~Math and Computer Science, Chennai Mathematical Institute} 8 | % \par 9 | % Thesis title: \emph{Applying ant algorithms in automatic design of novel magic charms}. 10 | % 11 | \entry*[2018 -- 2020]% 12 | \textbf{Higher Secondary Education ($12^{th}$ Standard), Baranagar Narendranath Vidyamandir, Kolkata} 13 | % 14 | \entry*[2008 -- 2018]% 15 | \textbf{Secondary Education ($10^{th}$ Standard), Baranagar Ramakrishna Mission Ashrama High School, Kolkata} 16 | \end{rubric} -------------------------------------------------------------------------------- /CV/misc.tex: -------------------------------------------------------------------------------- 1 | \begin{rubric}{Miscellaneous} 2 | \entry*[2023]% 3 | \textbf{Coursework Project (Quantum Algorithmic Thinking)} 4 | 5 | \textbf{Qiskit Implementation of Quantum Circuit of Modular Exponentiation}: Implemented the paper ``Quantum Networks for Elementary Arithmetic Operations” by Vedral, Barenco and Artur 6 | 7 | Code: [\href{hhttps://github.com/bluecheese123/-Best_Project-}{Link}] 8 | 9 | \entry*[2023] \textbf{Coursework Project (Quantum Algorithmic Thinking)} 10 | 11 | \textbf{Qiskit Implementation of Kushlevitz and Mansour Algorithm}: Implemented the paper ``Learning Decision Trees Using The Fourier Spectrum” by Kushilevitz and Mansour 12 | 13 | Code: [\href{https://github.com/sohamch08/Qiskit-Quantum-Algo/blob/master/Kushlevitz and Mansour Algorithm.ipynb}{Link}] 14 | 15 | \end{rubric} -------------------------------------------------------------------------------- /CV/photo.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/CV/photo.jpg -------------------------------------------------------------------------------- /CV/publications.tex: -------------------------------------------------------------------------------- 1 | %% Sometimes when a section can't be nicely modelled with the \entry[]... mechanism; hack our own 2 | \makerubrichead{Research Publications} 3 | 4 | %% Assuming you've already given \addbibresource{own-bib.bib} in the main doc. Right? Right??? 5 | \nocite{*} 6 | 7 | %% If you just want everything in one list 8 | % \printbibliography[heading={none}] 9 | 10 | \printbibliography[heading={subbibliography},title={Journal Articles},type=article] 11 | 12 | \printbibliography[heading={subbibliography},title={Conference Proceedings},type=inproceedings] 13 | 14 | \printbibliography[heading={subbibliography},title={Books and Chapters},filter={booksandchapters}] 15 | 16 | 17 | -------------------------------------------------------------------------------- /CV/referee-full.tex: -------------------------------------------------------------------------------- 1 | %% Probably not the best way of doing it but what the heck, I just winged-it :p 2 | 3 | \makerubrichead{References} 4 | 5 | \begin{tabularx}{\textwidth}{@{}X X@{}} 6 | \textbf{Prof X}\par 7 | Professor\par 8 | ABC University,\par 9 | Address.\par 10 | \makefield{\faEnvelopeO}{\url{abc@def.edu}} 11 | & 12 | \textbf{Prof Y}\par 13 | Professor\par 14 | ABC University,\par 15 | Address.\par 16 | \makefield{\faEnvelopeO}{\url{abc@def.edu}} 17 | \\ 18 | \end{tabularx} 19 | -------------------------------------------------------------------------------- /CV/referee.tex: -------------------------------------------------------------------------------- 1 | %!TEX encoding = UTF8 2 | %!TEX root =cv-llt.tex 3 | 4 | \prefix{} 5 | \begin{rubric}{References} 6 | 7 | {\large Available on Request\par} 8 | \end{rubric} -------------------------------------------------------------------------------- /CV/skills.tex: -------------------------------------------------------------------------------- 1 | %!TEX encoding = UTF8 2 | %!TEX root =cv-llt.tex 3 | 4 | \begin{rubric}{Skills} 5 | \noentry{2014 -- 2015} 6 | \entry*[Languages] 7 | Strong reading, writing and speaking competencies for English, Mandarin Chinese, Bahasa Malaysia. 8 | \entry*[Coding\hfill] 9 | Java, \smallcaps{PHP}, Python, R, \smallcaps{SQL, XML/XSL}, \LaTeX, \ldots 10 | \entry*[Databases] 11 | My\smallcaps{SQL}, Postgre\smallcaps{SQL}, \smallcaps{HSQL}, \smallcaps{SQL}ite, LotusNotes. 12 | \entry*[Web Dev] 13 | \textsc{Html, css}, JavaScript, Apache Web Server, Tomcat Web Server. 14 | \entry*[Misc.] 15 | Academic research, teaching, training, consultation, \LaTeX\ typesetting and publishing. 16 | \end{rubric} 17 | -------------------------------------------------------------------------------- /CV/talks.tex: -------------------------------------------------------------------------------- 1 | \begin{rubric}{Talks and Presentations} 2 | \entry*[2025]% 3 | \textbf{Super Polynomial Lower Bound on Traveling Salesman Polytope} 4 | 5 | Coursework Presentation (TIFR): Combinatorial Optimization. Paper by Fiorini, Massar, Pokutta, Tiwary and Wolf, 2012 6 | 7 | Slides: [\href{https://sohamch08.github.io/assets/copt-presentation.pdf}{PDF}] 8 | \entry*[2025]% 9 | \textbf{Bounds on Price of Anarchy using LInear and Quadratic Programming} 10 | 11 | Coursework Presentation (TIFR): Algorithmic Game Theory. Paper by Kulkarni and Mirrokni, 2015. 12 | 13 | Slides: [\href{https://sohamch08.github.io/assets/agt-presentation.pdf}{PDF}] 14 | \entry*[2025]% 15 | \textbf{Bipartite Matching is in \textsf{Quasi-NC}} 16 | 17 | TIFR Student Seminar. Paper by Stephen A. Fenner, Rohit Gurjar and Thomas Thierauf, 2016. 18 | \entry*[2024]% 19 | \textbf{Hensel and Newton Methods in Valuation Rings} 20 | 21 | Coursework Presentation (CMI): Algebra and Computatiopn. Paper by J von zur Gathen, 1984 22 | \entry*[2023]% 23 | \textbf{Coursework Presentation (Algorithmic Coding Theory II)} 24 | 25 | Algebraic Geometric Codes, jointly presented by Me and Shree Ganesh S J 26 | 27 | Report: [\href{https://sohamch08.github.io/assets/act-report.pdf}{PDF}] 28 | \entry*[2023]% 29 | \textbf{Coursework Presentation (Parallel Algorithms anc Complexity)} 30 | 31 | ``Iterated Mod Problem" by Karloff and Ruzzo 32 | 33 | Slide: [\href{https://sohamch08.github.io/assets/parallel-presentation-iterated-mod.pdf}{PDF}] 34 | \end{rubric} -------------------------------------------------------------------------------- /CV/workshop.tex: -------------------------------------------------------------------------------- 1 | \begin{rubric}{Attended Workshops} 2 | \entry*[2025] HDX and Codes, ICTS 3 | \entry*[2024] FSTTCS, IIT Gandhinagar 4 | \entry*[Jan-Apr 2024] Quantum Computing Semester, CMI 5 | \end{rubric} -------------------------------------------------------------------------------- /Complexity Classes Relation/chapters/class-defs.tex: -------------------------------------------------------------------------------- 1 | \section{Class Definitions} 2 | \begin{definition}[$BP\cdot NP$] 3 | $BP\cdot NP\coloneqq \{ L\mid L\leq_r SAT \}$ 4 | \end{definition} 5 | \begin{definition}[$NP/poly$] 6 | 7 | \end{definition} 8 | \begin{definition}[$AM$] 9 | 10 | \end{definition} 11 | \begin{definition}[$\#P$] 12 | 13 | \end{definition} -------------------------------------------------------------------------------- /Complexity Classes Relation/chapters/results.tex: -------------------------------------------------------------------------------- 1 | \section{Class Relations} 2 | \begin{prop}{}{} 3 | $BP\cdot NP\subseteq NP/poly$ 4 | \end{prop} 5 | 6 | \begin{prop}{}{} 7 | If $\overline{3SAT}\in BP\cdot NP$ then $PH=\Sg_3$ 8 | \end{prop} 9 | 10 | \begin{prop}{}{} 11 | If $P S P A C E \subseteq P /$ poly then $P S P A C E=\sum_2^p \cap \prod_2^p$. 12 | \end{prop} 13 | 14 | \textbf{\textit{Proof: }}Since $\Sigma_2^p \cap \Pi_2^p \subseteq P S P A C E$, it suffices to prove 15 | $$ 16 | P S P A C E \subseteq P / \text { poly } \Rightarrow P S P A C E \subseteq \sum_2^p \cap \prod_2^p \text {. } 17 | $$ 18 | For this it is sufficient to show 19 | $$ 20 | \mathrm{G} \in P / \text { poly } \Rightarrow \mathrm{G} \in \sum_2^p \cap \prod_2^p 21 | $$ 22 | where $\mathrm{G}$ is the PSPACE-complete set described in Fact 2. Suppose $\mathrm{G} \in P /$ poly. Then there is a set $\mathrm{S} \in P$, a positive constant $k$, and a function $h: N \rightarrow\{0,1\}^*$ such that $|h(n)| \leqslant k+n^k$, so that $\mathrm{G}=\mathrm{S}: h$. By lemma 4.1, 23 | $$ 24 | x \in G \Leftrightarrow \exists w \forall w^{\prime} \text { Win }\left(w, w^{\prime}, x\right) . 25 | $$ 26 | Here each of $w$ and $w^{\prime}$ ranges over all strings of length $\leqslant k+|x|^k$. Since $F_0$ and $F_1$ are polynomial-time computable, W is polynomial-time recognizable and play from $x$ terminates within $p(|x|)$ moves, the predicate Win $\left(w, w^{\prime}, x\right)$ is computable in polynomial-time. Thus $\mathrm{G} \in \sum_2^p$. Similarly, since 27 | $$ 28 | x \in \mathrm{G} \Leftrightarrow \forall w^{\prime} \exists w \operatorname{Win}\left(w, w^{\prime}, x\right) . 29 | $$ 30 | it follows that $\mathrm{G} \in \prod_2^p$. -------------------------------------------------------------------------------- /Complexity Classes Relation/complexity_classes_relation.tex: -------------------------------------------------------------------------------- 1 | \documentclass{article} 2 | \input{preamble} 3 | 4 | \input{letterfonts} 5 | \input{macros} 6 | 7 | \setlength{\parindent}{1cm} 8 | 9 | 10 | 11 | \begin{document} 12 | 13 | \hspace{0pt} 14 | \vfill 15 | \begin{center} 16 | \Huge{Complexity Classes Relations} 17 | 18 | \vspace*{1cm} 19 | \begin{tabular}{ccc} 20 | \LARGE{Soham Chatterjee} &\hspace*{2cm}& \LARGE{Rishav Gupta}\\[-4mm] 21 | \Large{\url{sohamc@cmi.ac.in}} &\hspace*{2cm}& \Large{\url{rishavg@cmi.ac.in}}\\[5mm] 22 | \multicolumn{3}{c}{\LARGE{Chennai Mathematical Institute}} 23 | \end{tabular} 24 | \end{center} 25 | \vfill 26 | \hspace{0pt} 27 | 28 | 29 | \pagebreak 30 | 31 | \tableofcontents 32 | 33 | \include{chapters/class-defs} 34 | 35 | \include{chapters/results} 36 | 37 | \end{document} 38 | -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 1/document.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Extensions of Cauchy-Schwarz/solution page 1/document.pdf -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 1/document.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage{amsmath} 3 | \usepackage{anyfontsize} 4 | \usepackage{amsfonts} 5 | \usepackage[paperheight=7in,paperwidth=7in,margin=0.5in]{geometry} 6 | \usepackage[x11names]{xcolor} 7 | \usepackage{tikz} 8 | \usepackage{tcolorbox} 9 | \usepackage{titlesec} 10 | \usepackage{graphicx} 11 | 12 | \graphicspath{{images/}} 13 | 14 | 15 | \titleformat*{\section}{\Huge\bfseries} 16 | 17 | \begin{document} 18 | 19 | \thispagestyle{empty} 20 | 21 | \begin{tikzpicture}[remember picture,overlay] 22 | \coordinate [below=12cm] (midpoint) at (current page.north); 23 | \node at (current page.north west){\begin{tikzpicture}[remember picture,overlay] 24 | \node[anchor=north west,inner sep=0pt] at (0,0) {\includegraphics[width=\paperwidth]{1.png}}; 25 | \end{tikzpicture}}; 26 | \end{tikzpicture} 27 | 28 | \huge{I have two solutions for this problem an awesome solution and normal solution.} 29 | \section{Solution 1(The Awesome One) :-} 30 | 31 | 32 | \huge{Now, let $f$ be the $2\pi$ periodic function defined by$$f(\theta)=\begin{cases} 33 | 0,&\text{if }\cos\theta \cos(\theta+\alpha)\geq0\\ 34 | 1,& \text{if }\cos\theta \cos(\theta+\alpha)<0 35 | \end{cases}$$ 36 | With this definition,$$V_n(\alpha)=\bigg|\Big\{k\in\{1,\cdots,n\}:f(k\alpha)=1\Big\}\bigg|$$} 37 | \end{document} 38 | -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 1/images/2.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Extensions of Cauchy-Schwarz/solution page 1/images/2.png -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 2/document.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Extensions of Cauchy-Schwarz/solution page 2/document.pdf -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 2/document.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage{amsmath} 3 | \usepackage{anyfontsize} 4 | \usepackage{amsfonts} 5 | \usepackage[paperheight=7in,paperwidth=7in,margin=0.4in]{geometry} 6 | \usepackage[x11names]{xcolor} 7 | \usepackage{tikz} 8 | \usepackage{tcolorbox} 9 | \usepackage{graphicx} 10 | \graphicspath{{images/}} 11 | 12 | 13 | 14 | 15 | \begin{document} 16 | 17 | \thispagestyle{empty} 18 | 19 | \begin{tikzpicture}[remember picture,overlay] 20 | \coordinate [below=12cm] (midpoint) at (current page.north); 21 | \node at (current page.north west){\begin{tikzpicture}[remember picture,overlay] 22 | \node[anchor=north west,inner sep=0pt] at (0,0) {\includegraphics[width=\paperwidth]{1.png}}; 23 | \end{tikzpicture}}; 24 | \end{tikzpicture} 25 | 26 | \vspace*{2cm} 27 | 28 | 29 | \huge{Let us define 30 | $$\mathcal{I}=\begin{cases} 31 | \left(\dfrac{\pi}{2}-\alpha,\dfrac{\pi}2\right)\cup 32 | \left(\dfrac{3\pi}{2}-\alpha,\dfrac{3\pi}2\right),\\ 33 | \qquad\qquad\qquad\qquad\quad\text{if }0<\alpha<\dfrac{\pi}{2}\\ 34 | \left[0,\dfrac{\pi}{2}\right)\cup 35 | \left(\dfrac{3\pi}{2}-\alpha,\dfrac{3\pi}2\right)\\ 36 | \qquad\cup\left(\dfrac{5\pi}{2}-\alpha,2\pi\right],\text{if }\dfrac{\pi}{2}<\alpha<\pi 37 | \end{cases}$$ 38 | 39 | Then for $\theta\in [0,2\pi]$ we have 40 | $$f(\theta)=1\iff \theta\in\mathcal{I}$$} 41 | \end{document} 42 | -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 3/document.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Extensions of Cauchy-Schwarz/solution page 3/document.pdf -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 3/document.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage{amsmath} 3 | \usepackage{anyfontsize} 4 | \usepackage{amsfonts} 5 | \usepackage[paperheight=7in,paperwidth=7in,margin=0.5in]{geometry} 6 | \usepackage[x11names]{xcolor} 7 | \usepackage{tikz} 8 | \usepackage{tcolorbox} 9 | \usepackage{graphicx} 10 | \graphicspath{{images/}} 11 | 12 | 13 | 14 | 15 | \begin{document} 16 | 17 | 18 | \thispagestyle{empty} 19 | 20 | \begin{tikzpicture}[remember picture,overlay] 21 | \coordinate [below=12cm] (midpoint) at (current page.north); 22 | \node at (current page.north west){\begin{tikzpicture}[remember picture,overlay] 23 | \node[anchor=north west,inner sep=0pt] at (0,0) {\includegraphics[width=\paperwidth]{1.png}}; 24 | \end{tikzpicture}}; 25 | \end{tikzpicture} 26 | 27 | 28 | 29 | \vspace*{2cm} 30 | 31 | \huge{Let us define a sequence $\{b_k\}_{k\geq 1} $ such that $k\alpha \equiv b_k\ (\text{ mod } 2\pi)$ for all $k\in\{1,\cdots,n\}$. Now we can consider $\frac{V_n (\alpha)}{n}$ as the probability of sign change occurrence between $k\alpha$ and $(k+1)\alpha$. Hence it is same as the probability of occurrence of $b_k$ in $\mathcal{I}$ which is equal to $$\dfrac{\text{Length of }(\mathcal{I})}{\text{Length of }[0,2\pi]}=\dfrac{\text{Length of }(\mathcal{I})}{2\pi}$$} 32 | \end{document} 33 | -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 3/images/1.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Extensions of Cauchy-Schwarz/solution page 3/images/1.png -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 4/document.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Extensions of Cauchy-Schwarz/solution page 4/document.pdf -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 4/document.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage{amsmath} 3 | \usepackage{anyfontsize} 4 | \usepackage{amsfonts} 5 | \usepackage[paperheight=7in,paperwidth=7in,margin=0.6in]{geometry} 6 | \usepackage[x11names]{xcolor} 7 | \usepackage{tikz} 8 | \usepackage{tcolorbox} 9 | \usepackage{graphicx} 10 | \graphicspath{{images/}} 11 | 12 | 13 | 14 | 15 | \begin{document} 16 | 17 | 18 | \thispagestyle{empty} 19 | 20 | \begin{tikzpicture}[remember picture,overlay] 21 | \coordinate [below=12cm] (midpoint) at (current page.north); 22 | \node at (current page.north west){\begin{tikzpicture}[remember picture,overlay] 23 | \node[anchor=north west,inner sep=0pt] at (0,0) {\includegraphics[width=\paperwidth]{1.png}}; 24 | \end{tikzpicture}}; 25 | \end{tikzpicture} 26 | 27 | 28 | \vspace*{2cm} 29 | 30 | 31 | \huge{Now, $$\text{Length of }\mathcal{I}= 32 | 2\alpha$$ 33 | 34 | Hence$$\lim\limits_{n\to\infty}\dfrac{V_n(\alpha)}{n}=\dfrac{2\alpha}{2\pi}=\dfrac{\alpha}{\pi}$$ 35 | \vfill 36 | \begin{center} 37 | \textbf{Swipe} $\boldsymbol{\longrightarrow}$ \textbf{For Second Solution} 38 | \end{center}} 39 | \end{document} 40 | 41 | -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 4/images/1.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Extensions of Cauchy-Schwarz/solution page 4/images/1.png -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 5/document.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Extensions of Cauchy-Schwarz/solution page 5/document.pdf -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 5/document.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage{amsmath} 3 | \usepackage{anyfontsize} 4 | \usepackage{titlesec} 5 | \usepackage{amsfonts} 6 | \usepackage[paperheight=7in,paperwidth=7in,margin=0.5in]{geometry} 7 | \usepackage[x11names]{xcolor} 8 | \usepackage{tikz} 9 | \usepackage{tcolorbox} 10 | \usepackage{graphicx} 11 | \graphicspath{{images/}} 12 | 13 | \titleformat*{\section}{\Huge\bfseries} 14 | \setcounter{section}{1} 15 | 16 | \begin{document} 17 | 18 | \thispagestyle{empty} 19 | 20 | \begin{tikzpicture}[remember picture,overlay] 21 | \coordinate [below=12cm] (midpoint) at (current page.north); 22 | \node at (current page.north west){\begin{tikzpicture}[remember picture,overlay] 23 | \node[anchor=north west,inner sep=0pt] at (0,0) {\includegraphics[width=\paperwidth]{1.png}}; 24 | \end{tikzpicture}}; 25 | \end{tikzpicture} 26 | 27 | 28 | 29 | 30 | \section{Solution 2(The Normal One) :-} 31 | 32 | \huge{In $n\alpha$ rotation the number of times full \linebreak[2mm] circle rotation occures $=\left\lfloor\frac{n\alpha}{2\pi}\right\rfloor$ 33 | 34 | In one full circle rotation sign change occures 2 times. Hence in $\left\lfloor\frac{n\alpha}{2\pi}\right\rfloor$ full rotation sign change occures $=2\left\lfloor\frac{n\alpha}{2\pi}\right\rfloor$ 35 | 36 | Now the rest angle is $$n\alpha-\bigg\lfloor\dfrac{n\alpha}{2\pi}\bigg\rfloor\times 2\pi$$ 37 | 38 | If we consider 0 as a change of sign in case of $\cos\left( \frac{\pi}{2}\right)$ and $\cos\left(\frac{3\pi}{2}\right)$ then:-} 39 | 40 | 41 | 42 | \end{document} 43 | -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 5/images/1.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Extensions of Cauchy-Schwarz/solution page 5/images/1.png -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 6/document.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Extensions of Cauchy-Schwarz/solution page 6/document.pdf -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 6/document.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage{amsmath} 3 | \usepackage{anyfontsize} 4 | \usepackage{amsfonts} 5 | \usepackage[paperheight=7in,paperwidth=7in,margin=0.5in]{geometry} 6 | \usepackage[x11names]{xcolor} 7 | \usepackage{tikz} 8 | \usepackage{tcolorbox} 9 | \usepackage{graphicx} 10 | \graphicspath{{images/}} 11 | 12 | 13 | 14 | 15 | \begin{document} 16 | 17 | \thispagestyle{empty} 18 | 19 | \begin{tikzpicture}[remember picture,overlay] 20 | \coordinate [below=12cm] (midpoint) at (current page.north); 21 | \node at (current page.north west){\begin{tikzpicture}[remember picture,overlay] 22 | \node[anchor=north west,inner sep=0pt] at (0,0) {\includegraphics[width=\paperwidth]{1.png}}; 23 | \end{tikzpicture}}; 24 | \end{tikzpicture} 25 | 26 | 27 | 28 | 29 | 30 | \huge{\begin{enumerate} 31 | \item If $0\leq n\alpha-\left\lfloor\frac{n\alpha }{2\pi }\right\rfloor\times 2\pi<\frac{\pi}{2 }$ sign changes 0 times. 32 | \item If $\frac{\pi}{2 }\leq n\alpha-\left\lfloor\frac{n\alpha }{2\pi }\right\rfloor\times 2\pi<\frac{3\pi}{2 }$ sign changes 1 times 33 | \item If $\frac{3\pi}{2 }\leq n\alpha-\left\lfloor\frac{n\alpha }{2\pi }\right\rfloor\times 2\pi<2\pi$ sign changes 2 times 34 | \end{enumerate} 35 | 36 | Hence $$\text{max}\big\{V_n(\alpha)\big\}=2\bigg\lfloor\dfrac{n\alpha}{2\pi}\bigg\rfloor+ 2$$ and $$\text{min}\big\{V_n(\alpha)\big\}=2\bigg\lfloor\dfrac{n\alpha}{2\pi}\bigg\rfloor$$} 37 | 38 | 39 | \end{document} 40 | -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 6/images/1.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Extensions of Cauchy-Schwarz/solution page 6/images/1.png -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 7/document.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Extensions of Cauchy-Schwarz/solution page 7/document.pdf -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 7/document.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage{amsmath} 3 | \usepackage{anyfontsize} 4 | \usepackage{amsfonts} 5 | \usepackage[paperheight=7in,paperwidth=7in,margin=0.4in]{geometry} 6 | \usepackage[x11names]{xcolor} 7 | \usepackage{tikz} 8 | \usepackage{tcolorbox} 9 | \usepackage{graphicx} 10 | \graphicspath{{images/}} 11 | 12 | 13 | 14 | 15 | \begin{document} 16 | 17 | \thispagestyle{empty} 18 | 19 | \begin{tikzpicture}[remember picture,overlay] 20 | \coordinate [below=12cm] (midpoint) at (current page.north); 21 | \node at (current page.north west){\begin{tikzpicture}[remember picture,overlay] 22 | \node[anchor=north west,inner sep=0pt] at (0,0) {\includegraphics[width=\paperwidth]{1.png}}; 23 | \end{tikzpicture}}; 24 | \end{tikzpicture} 25 | 26 | 27 | 28 | 29 | 30 | \huge{Therefore$$2\bigg\lfloor\dfrac{n\alpha}{2\pi}\bigg\rfloor+ 2\geq V_n (\alpha)\geq 2\bigg\lfloor\dfrac{n\alpha}{2\pi}\bigg\rfloor$$ Now, $$\lim\limits_{n\to \infty}\dfrac{2\bigg\lfloor\dfrac{n\alpha}{2\pi}\bigg\rfloor}{n}=\dfrac{\alpha}{\pi}$$ and $$\lim\limits_{n\to\infty} \dfrac{2\bigg\lfloor\dfrac{n\alpha}{2\pi}\bigg\rfloor+ 2}{n}=\dfrac{\alpha}{\pi}$$\\[1mm] 31 | Hence by Sandwich Theorem We get $$\lim\limits_{n\to \infty}\dfrac{V_n(\alpha)}{n}=\dfrac{\alpha}{\pi}$$} 32 | \end{document} 33 | -------------------------------------------------------------------------------- /Extensions of Cauchy-Schwarz/solution page 7/images/1.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Extensions of Cauchy-Schwarz/solution page 7/images/1.png -------------------------------------------------------------------------------- /Homework_Template/images/jct.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Homework_Template/images/jct.png -------------------------------------------------------------------------------- /Homework_Template/images/keyhole.png: 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2020 SL (Final) (Copy)/Figure2.2.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/IGMO 2020 SL (Final) (Copy)/Figure2.2.png -------------------------------------------------------------------------------- /IGMO 2020 SL (Final) (Copy)/IGMO_SIGMA png (2).png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/IGMO 2020 SL (Final) (Copy)/IGMO_SIGMA png (2).png -------------------------------------------------------------------------------- /IGMO 2020 SL (Final) (Copy)/problem credit.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage{amsmath} 3 | \usepackage{times} 4 | \usepackage{amsfonts, mathtools} 5 | \usepackage{hyperref} 6 | \usepackage{xcolor} 7 | \begin{document} 8 | 9 | 10 | \begin{flushright} 11 | \textbf{Problem posed by} 12 | \textcolor{RoyalBlue2}{\href{https://www.instagram.com/creative_math_/}{@creative\_math\_}} 13 | \end{flushright} 14 | 15 | \begin{flushright} 16 | \textbf{Problem posed by} 17 | \textcolor{RoyalBlue2}{\href{https://www.instagram.com/pepemaths/}{@pepemaths}} 18 | \end{flushright} 19 | 20 | \begin{flushright} 21 | \textbf{Problem posed by} 22 | \textcolor{RoyalBlue2}{\href{https://www.instagram.com/mathinity/}{@mathinity}} 23 | \end{flushright} 24 | 25 | 26 | \begin{flushright} 27 | \textbf{Problem posed by} 28 | \textcolor{RoyalBlue2}{\href{https://www.instagram.com/creative.math_solving/}{@creative.math\_solving}} 29 | \end{flushright} 30 | 31 | \begin{flushright} 32 | \textbf{Problem posed by} 33 | \textcolor{RoyalBlue2}{\href{https://www.instagram.com/saitejasomu/}{@saitejasomu}} 34 | \end{flushright} 35 | 36 | \end{document} -------------------------------------------------------------------------------- /Importnt Math Links/Important Math Links.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Importnt Math Links/Important Math Links.pdf -------------------------------------------------------------------------------- /Inequalities Proposed by xzlbq in AOPS/Inequalities Proposed by xzlbq in AOPS.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Inequalities Proposed by xzlbq in AOPS/Inequalities Proposed by xzlbq in AOPS.pdf -------------------------------------------------------------------------------- /Inequalities Proposed by xzlbq in AOPS/Pictures/6.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Inequalities Proposed by xzlbq in AOPS/Pictures/6.jpg -------------------------------------------------------------------------------- /Inequalities Proposed by xzlbq in AOPS/Pictures/pictures.md: -------------------------------------------------------------------------------- 1 | # Picture for front page 2 | -------------------------------------------------------------------------------- /Inequalities Proposed by xzlbq in AOPS/ReadMe.md: -------------------------------------------------------------------------------- 1 | # Inequalities Proposed by xzlbq in AOPS 2 | 3 | Its a book type thing i created by collecting some inequalities proposed by Liu Bao Qiang in [AOPS](https://artofproblemsolving.com/community) 4 | 5 | In AOPS his username is [xzlbq](https://artofproblemsolving.com/community/user/72829) 6 | -------------------------------------------------------------------------------- /Inequalities Proposed by xzlbq in AOPS/structure.tex: -------------------------------------------------------------------------------- 1 | 2 | \usepackage{graphicx} % Required for including pictures 3 | \graphicspath{{Pictures/}} % Specifies the directory where pictures are stored 4 | \usepackage[svgnames]{xcolor} 5 | \usepackage{amsfonts} 6 | \usepackage{amsmath} 7 | \usepackage{fullpage} 8 | \usepackage{mathtools} 9 | \usepackage{authblk} 10 | \usepackage{afterpage} 11 | \usepackage{hyperref} 12 | \hypersetup{ 13 | colorlinks, 14 | citecolor=black, 15 | filecolor=black, 16 | linkcolor=black, 17 | urlcolor=black} 18 | \usepackage{lipsum} % Inserts dummy text 19 | \usepackage[Conny]{fncychap} 20 | \usepackage{tikz} 21 | %Required for drawing custom shapes 22 | 23 | %\usepackage{xcolor} % Required for specifying colors by name 24 | %\definecolor{ocre}{RGB}{243,102,25} % 25 | 26 | -------------------------------------------------------------------------------- /Instagram Math Posts/Functional Equation Series/Level 5/23-08-2020: Question.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage{amsmath} 3 | \usepackage{times} 4 | \usepackage{anyfontsize} 5 | \usepackage{amsfonts} 6 | \usepackage[paperheight=12in,paperwidth=12in,margin=1in]{geometry} 7 | \usepackage{tikz} 8 | %\usepackage[x11names]{xcolor} 9 | \usepackage{tcolorbox} 10 | 11 | \usepackage{graphicx} 12 | \graphicspath{{images/}} 13 | \begin{document} 14 | 15 | \newtcolorbox{mybox}{colback=blue!5!white,colframe=blue} 16 | \begin{tikzpicture}[remember picture,overlay] 17 | \coordinate [below=12cm] (midpoint) at (current page.north); 18 | \node at (current page.north west) 19 | {\begin{tikzpicture}[remember picture,overlay] 20 | \node[anchor=north west,inner sep=0pt,opacity=0.2] at (0,0) {\includegraphics[width=\paperwidth]{2.jpg}}; % Background image 21 | \end{tikzpicture}}; 22 | \end{tikzpicture} 23 | \color{blue} 24 | \begin{center} 25 | \thispagestyle{empty} 26 | %\pagecolor{BrickRed} 27 | \color{blue} 28 | 29 | {\fontsize{40}{20}\selectfont\textbf{\underline{Functional Equation Week: Problem 5}}} 30 | 31 | \vspace*{1cm} 32 | 33 | {\fontsize{35}{30}\selectfont\textbf{Send me Your Answer!}} 34 | \vspace*{1cm} 35 | \end{center} 36 | 37 | {\fontsize{30}{30}\selectfont Find all functions $ f : \mathbb R\to \mathbb R$ such that \[ x^2y^2 \left( f(x+y)-f(x)-f(y) \right)=3(x+y)f(x)f(y)\] holds for all reals $x$ and $y$} 38 | 39 | \vspace{1cm} 40 | \begin{center} 41 | {\fontsize{30}{30}\textbf{ONLY ELEMENTARY SOLUTIONS ALLOWED}} 42 | 43 | \vspace{1cm} 44 | 45 | {\fontsize{50}{60}\selectfont 46 | 47 | $$\boldsymbol{\sum \limits_{i=0}^{Creative} Math_i = Solving}$$} 48 | 49 | \vspace{1cm} 50 | 51 | \begin{mybox}\Huge{\begin{center}\textbf{\textcolor{blue}{Solution $\to$}} \end{center}}\end{mybox} 52 | \end{center} 53 | \end{document} -------------------------------------------------------------------------------- /Instagram Math Posts/Functional Equation Series/Level 5/images/2.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Instagram Math Posts/Functional Equation Series/Level 5/images/2.jpg -------------------------------------------------------------------------------- /Instagram Math Posts/Math Theory Posts/26-08-2020: Cauchy-Schwarz Inequality/03-09-2020: Road to Holder from QM-AM-Gm-HM and Cauchy Schwarz/Page 1.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage[paperheight=7.6in,paperwidth=7.6in,margin=0.7in]{geometry} 3 | %\usepackage{fullpage} 4 | 5 | \usepackage{mathtools} 6 | \usepackage{times} 7 | \usepackage{amsfonts} 8 | \usepackage{amsmath} 9 | \usepackage{braket} 10 | \usepackage[x11names]{xcolor} 11 | \usepackage{tikz} 12 | \usepackage{titlesec} 13 | \usepackage{background} 14 | \usepackage{blindtext} 15 | \backgroundsetup{ scale=1, angle=0, opacity=1, contents={\begin{tikzpicture}[remember picture,overlay] \path [left color=Orchid1,right color=white] (current page.south west)rectangle (current page.north east); \end{tikzpicture}} } 16 | 17 | 18 | \titleformat*{\section}{\LARGE\bfseries} 19 | \titleformat*{\subsection}{\Large\bfseries} 20 | \pagestyle{empty} 21 | \begin{document} 22 | \pagebreak 23 | 24 | 25 | \section{Generalization of Cauchy-Schwarz Inequality to Any Number of Set of $\boldsymbol{n-}$Variables} 26 | 27 | \vspace*{2.5cm} 28 | 29 | \subsection{Statement :-} 30 | 31 | 32 | \Large{\textbf{Let }$\boldsymbol{S_1,S_2,\cdots,S_m}$\textbf{ are the sets of }$\boldsymbol{n}$\textbf{ non-negative real numbers where }\[\boldsymbol{S_{\displaystyle{i}}=\Set{ S_{\displaystyle{i_{\displaystyle{k}}}} | S_{\displaystyle{i_{\displaystyle{k}}}}\geq 0,\ k=1,2,\cdots,n} }\]\textbf{forall }$\boldsymbol{i=1,2,\cdots,m}$\textbf{ then}}\LARGE{\[\boldsymbol{\prod_{i=1}^m \Bigg[\sum_{k=1}^n S_{\displaystyle{i_{\displaystyle{k}}}} \Bigg]^2\geq \sum_{k=1}^n \Bigg[\prod_{i=1}^m S_{\displaystyle{i_{\displaystyle{k}}}}^2\Bigg]}\]} 33 | 34 | 35 | 36 | 37 | 38 | \end{document} 39 | -------------------------------------------------------------------------------- /Instagram Math Posts/Math Theory Posts/26-08-2020: Cauchy-Schwarz Inequality/03-09-2020: Road to Holder from QM-AM-Gm-HM and Cauchy Schwarz/Page 2.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage[paperheight=7.8in,paperwidth=7.8in,margin=0.6in]{geometry} 3 | %\usepackage{fullpage} 4 | \usepackage{times} 5 | \usepackage{mathtools} 6 | \usepackage{amsfonts} 7 | \usepackage{amsmath} 8 | \usepackage{braket} 9 | \usepackage[x11names]{xcolor} 10 | \usepackage{tikz} 11 | \usepackage{titlesec} 12 | \usepackage{background} 13 | \usepackage{blindtext} 14 | \backgroundsetup{ scale=1, angle=0, opacity=1, contents={\begin{tikzpicture}[remember picture,overlay] \path [left color=white,right color=Orchid1] (current page.south west)rectangle (current page.north east); \end{tikzpicture}} } 15 | 16 | 17 | \titleformat*{\section}{\LARGE\bfseries} 18 | \titleformat*{\subsection}{\Large\bfseries} 19 | \setcounter{section}{1} 20 | \setcounter{subsection}{1} 21 | \pagestyle{empty} 22 | \begin{document} 23 | \pagebreak 24 | 25 | 26 | \subsection{Proof :-} 27 | \Large{First let's prove it for any 3 sets $A,B,C$ among the given sets. Hence \[A=\set{a_i\mid a_i\geq0,\ i=1,2,\cdots,n} \] \[B=\set{b_i\mid b_i\geq0,\ i=1,2,\cdots,n} \]\[C=\set{c_i\mid c_i\geq0,\ i=1,2,\cdots,n} \] Let $d_i=b_ic_i$ for $i=1,2,\cdots,n$. 28 | 29 | 30 | By Cauchy-Schwarz Inequality we get :-\[\Bigg(\sum_{i=1}^na_i^2\Bigg)\Bigg(\sum_{i=1}^nd_i^2\Bigg)\geq \Bigg(\sum_{i=1}^na_id_i\Bigg)^2\]Again, \[\Bigg(\sum_{i=1}^nb_i^2\Bigg)\Bigg(\sum_{i=1}^nc_i^2\Bigg)\geq \sum_{i=1}^nb_i^2c_i^2+\sum_{1\leq i\neq j\leq n}b_i^2c_j^2\geq\sum_{i=1}^nb_i^2c_i^2= \sum_{i=1}^nd_i^2\]}Therefore, \[\Bigg(\sum_{i=1}^na_i^2\Bigg)\Bigg(\sum_{i=1}^nb_i^2\Bigg)\Bigg(\sum_{i=1}^nc_i^2\Bigg)\geq\Bigg(\sum_{i=1}^na_ib_ic_i\Bigg)^2 \]Continuing this process we can conclude it is true for any number of sets of $n-$variables. 31 | 32 | This completes the proof. 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | \end{document} 53 | -------------------------------------------------------------------------------- /Instagram Math Posts/Math Theory Posts/26-08-2020: Cauchy-Schwarz Inequality/03-09-2020: Road to Holder from QM-AM-Gm-HM and Cauchy Schwarz/Page 3.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage[paperheight=7.6in,paperwidth=7.6in,margin=0.7in]{geometry} 3 | %\usepackage{fullpage} 4 | 5 | \usepackage{mathtools} 6 | \usepackage{times} 7 | \usepackage{amsfonts} 8 | \usepackage{amsmath} 9 | \usepackage{braket} 10 | \usepackage[x11names]{xcolor} 11 | \usepackage{tikz} 12 | \usepackage{titlesec} 13 | \usepackage{background} 14 | \usepackage{blindtext} 15 | \backgroundsetup{ scale=1, angle=0, opacity=1, contents={\begin{tikzpicture}[remember picture,overlay] \path [left color=Orchid1,right color=white] (current page.south west)rectangle (current page.north east); \end{tikzpicture}} } 16 | 17 | 18 | \titleformat*{\section}{\LARGE\bfseries} 19 | \titleformat*{\subsection}{\Large\bfseries} 20 | \setcounter{section}{1} 21 | %\setcounter{subsection}{1} 22 | \pagestyle{empty} 23 | \begin{document} 24 | \pagebreak 25 | 26 | \section{Integral Version of Cauchy-Schwarz Inequality} 27 | 28 | \vspace*{3cm} 29 | 30 | \subsection{Statement :-} 31 | 32 | 33 | \Large{\textbf{Let }$\boldsymbol{f}$\textbf{ and }$\boldsymbol{g}$\textbf{ be real functions which are continuous on the closed interval }$\boldsymbol{[a,b]}$\textbf{. Then}} \LARGE{\[ \boldsymbol{\splitdfrac{ \displaystyle{ \Bigg[\int_a^b \Big( f (t)\Big)^2dt\Bigg] \Bigg[\int_a^b \Big( g (t)\Big)^2dt\Bigg] } }{ \displaystyle{ \geq \Bigg[\int_a^b \Big(f (t)g (t)dt\Big)\Bigg]^2 } }}\]} 34 | \end{document} 35 | -------------------------------------------------------------------------------- /Instagram Math Posts/Math Theory Posts/26-08-2020: Cauchy-Schwarz Inequality/03-09-2020: Road to Holder from QM-AM-Gm-HM and Cauchy Schwarz/Page 4.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage[paperheight=7.8in,paperwidth=7.8in,margin=0.6in]{geometry} 3 | %\usepackage{fullpage} 4 | \usepackage{times} 5 | \usepackage{mathtools} 6 | \usepackage{amsfonts} 7 | \usepackage{amsmath} 8 | \usepackage{braket} 9 | \usepackage[x11names]{xcolor} 10 | \usepackage{tikz} 11 | \usepackage{titlesec} 12 | \usepackage{background} 13 | \usepackage{blindtext} 14 | \backgroundsetup{ scale=1, angle=0, opacity=1, contents={\begin{tikzpicture}[remember picture,overlay] \path [left color=white,right color=Orchid1] (current page.south west)rectangle (current page.north east); \end{tikzpicture}} } 15 | 16 | 17 | 18 | \titleformat*{\section}{\LARGE\bfseries} 19 | \titleformat*{\subsection}{\Large\bfseries} 20 | \setcounter{section}{2} 21 | \setcounter{subsection}{1} 22 | \pagestyle{empty} 23 | \begin{document} 24 | \pagebreak 25 | 26 | 27 | \subsection{Proof :-} 28 | 29 | 30 | \Large{We know that for all $x\in\mathbb{R}$\[ \Big(xf (t)+g (t)\Big)^2\geq 0\] Hence 31 | \begin{align*} 32 | 0 & \leq \int_a^b \Big(xf (t)+g (t)\Big)^2 dt\\[2mm] 33 | & = \int_a^b \Big(x^2\big(f (t)\big)^2+2xf (t)g (t)+\big(g (t)\big)^2\Big) dt\\[2mm] 34 | & = x^2 \int_a^b\big(f (t)\big)^2 dt+ 2x\int_a^bf (t)g (t)dt + \int_a^b\big(g (t)\big)^2dt\\[2mm] 35 | & = Ax^2+2Bx+C 36 | \end{align*}where \[A=\int_a^b\big(f (t)\big)^2 dt,\ B=\int_a^bf (t)g (t)dt,\ C=\int_a^b\big(g (t)\big)^2dt\]The quadratic equation $Ax^2+2Bx+C$ is non-negative for all $x$. It follows that the discriminant $$\big(2B\big)^2-4AC\geq 0\implies AC\geq B^2$$This completes the proof. 37 | 38 | } 39 | 40 | 41 | 42 | 43 | 44 | \end{document} 45 | -------------------------------------------------------------------------------- /Instagram Math Posts/Math Theory Posts/26-08-2020: Cauchy-Schwarz Inequality/03-09-2020: Road to Holder from QM-AM-Gm-HM and Cauchy Schwarz/Page 6-1.tex: -------------------------------------------------------------------------------- 1 | -1\documentclass[12pt]{article} 2 | \usepackage[paperheight=7.8in,paperwidth=7.8in,margin=0.5in]{geometry} 3 | %\usepackage{fullpage} 4 | \usepackage{times} 5 | \usepackage{mathtools} 6 | \usepackage{amsfonts} 7 | \usepackage{amsmath} 8 | \usepackage{braket} 9 | \usepackage[x11names]{xcolor} 10 | \usepackage{tikz} 11 | \usepackage{titlesec} 12 | \usepackage{background} 13 | \usepackage{blindtext} 14 | \backgroundsetup{ scale=1, angle=0, opacity=1, contents={\begin{tikzpicture}[remember picture,overlay] \path [left color=white,right color=Orchid1] (current page.south west)rectangle (current page.north east); \end{tikzpicture}} } 15 | 16 | 17 | \titleformat*{\section}{\LARGE\bfseries} 18 | \titleformat*{\subsection}{\Large\bfseries} 19 | \titleformat*{\subsubsection}{\Large\bfseries} 20 | \setcounter{section}{3} 21 | \setcounter{subsection}{1} 22 | \pagestyle{empty} 23 | \begin{document} 24 | \pagebreak 25 | 26 | 27 | \subsection{Proof :-} 28 | \Large{We prove by cases: 29 | \begin{enumerate} 30 | \item $M(t)\ge M(0)\ge M(-t)$ for $t>0$ 31 | \item $M(k_1)\ge M(k_2)$ for $k_1 \ge k_2$ with $k_1k_2>0$ 32 | \end{enumerate} 33 | \subsubsection{Case 1 :} 34 | Note that 35 | \begin{align*} 36 | &\ \displaystyle{\Bigg(\sum\limits_{i=1}^n w_ia_i^{t} \Bigg)^{\dfrac{1}{t}} } \ge \displaystyle{\prod\limits_{i=1}^n a_i^{w_i}}\\ 37 | \Longleftarrow &\ \frac{1}{t} \ln\Bigg( \sum_{i=1}^n w_i a_i^{t} \Bigg) \ge \sum_{i=1}^n w_i \ln{a_i}, \quad \text{as } e^x \text{ is increasing} \\ 38 | \Longleftarrow &\ \ln\left( \sum_{i=1}^n w_i a_i^{t} \right) \ge \sum_{i=1}^n w_i \ln{a_i^t} \quad\text{as } t>0 39 | \end{align*}As $\ln(x)$ is concave, by Jensen's Inequality, the last inequality is true, proving $M(t)\ge M(0)$. By replacing $t$ by $-t$, the last inequality implies $M(0)\ge M(-t)$ as the inequality signs are flipped after multiplication by $-\dfrac{1}{t}$. 40 | 41 | } 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | \end{document} 58 | -------------------------------------------------------------------------------- /Instagram Math Posts/Math Theory Posts/26-08-2020: Cauchy-Schwarz Inequality/03-09-2020: Road to Holder from QM-AM-Gm-HM and Cauchy Schwarz/Page 6-2.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage[paperheight=7.8in,paperwidth=7.8in,margin=0.5in]{geometry} 3 | %\usepackage{fullpage} 4 | \usepackage{times} 5 | \usepackage{mathtools} 6 | \usepackage{amsfonts} 7 | \usepackage{amsmath} 8 | \usepackage{braket} 9 | \usepackage[x11names]{xcolor} 10 | \usepackage{tikz} 11 | \usepackage{titlesec} 12 | \usepackage{background} 13 | \usepackage{blindtext} 14 | \backgroundsetup{ scale=1, angle=0, opacity=1, contents={\begin{tikzpicture}[remember picture,overlay] \path [left color=Orchid1,right color=white] (current page.south west)rectangle (current page.north east); \end{tikzpicture}} } 15 | 16 | 17 | \titleformat*{\section}{\LARGE\bfseries} 18 | \titleformat*{\subsection}{\Large\bfseries} 19 | \titleformat*{\subsubsection}{\Large\bfseries} 20 | \setcounter{section}{3} 21 | \setcounter{subsection}{2} 22 | \setcounter{subsubsection}{1} 23 | \pagestyle{empty} 24 | \begin{document} 25 | \pagebreak 26 | 27 | 28 | \subsubsection{Case 2 :} 29 | \Large{For $k_1\ge k_2>0$, 30 | \begin{align} 31 | & \ \Bigg(\sum_{i=1}^n w_ia_i^{k_1} \Bigg)^{\dfrac{1}{k_1}} \ge \Bigg(\sum_{i=1}^n w_ia_i^{k_2} \Bigg)^{\dfrac{1}{k_2}}\nonumber\\ 32 | \label{eq:1}\Longleftarrow & \ \left(\sum_{i=1}^n w_ia_i^{k_1} \right)^{\dfrac{k_2}{k_1}} \ge \sum_{i=1}^n w_ia_i^{k_2} 33 | \end{align}As the function $f(x)=x^{\frac{k_2}{k_1}}$ is concave for all $x > 0$, by Jensen's Inequality,\[\Bigg(\sum_{i=1}^n w_i a_i^{k_1} \Bigg)^{\dfrac{k_2}{k_1}} = f\Bigg(\sum_{i=1}^n w_i a_i^{k_1} \Bigg) \geq \sum_{i=1}^n w_i f\Big(a_i^{k_1}\Big) =\sum_{i=1}^n w_i a_{i}^{k_2}\]For $0>k_1\ge k_2$, $f(x)$ becomes convex as $|k_1|\le |k_2|$, so the inequality sign when applying Jensen's Inequality the inequality is flipped. Thus, the inequality sign in $(\ref{eq:1})$ is flipped, but as $k_2<0$, $x^{\frac{1}{k_2}}$ is a decreasing function, so the inequality sign is flipped again after applying $x^{\frac{1}{k_2}}$, resulting in $M(k_1)\ge M(k_2)$ as desired.} 34 | 35 | \end{document} 36 | 37 | 38 | 39 | \begin{align} && \nonumber \\ & \label{eq} \end{align} -------------------------------------------------------------------------------- /Instagram Math Posts/Math Theory Posts/26-08-2020: Cauchy-Schwarz Inequality/03-09-2020: Road to Holder from QM-AM-Gm-HM and Cauchy Schwarz/Page 7.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage[paperheight=7.9in,paperwidth=7.9in,margin=0.5in]{geometry} 3 | %\usepackage{fullpage} 4 | 5 | \usepackage{mathtools} 6 | \usepackage{times} 7 | \usepackage{amsfonts} 8 | \usepackage{amsmath} 9 | \usepackage{braket} 10 | \usepackage[x11names]{xcolor} 11 | \usepackage{tikz} 12 | \usepackage{titlesec} 13 | \usepackage{background} 14 | \usepackage{blindtext} 15 | \backgroundsetup{ scale=1, angle=0, opacity=1, contents={\begin{tikzpicture}[remember picture,overlay] \path [left color=white,right color=Orchid1] (current page.south west)rectangle (current page.north east); \end{tikzpicture}} } 16 | 17 | 18 | \titleformat*{\section}{\LARGE\bfseries} 19 | \titleformat*{\subsection}{\Large\bfseries} 20 | \setcounter{section}{3} 21 | %\setcounter{subsection}{1} 22 | \pagestyle{empty} 23 | \begin{document} 24 | \pagebreak 25 | 26 | 27 | \section{Minkowski's Inequality} 28 | 29 | \vspace*{2.5cm} 30 | 31 | \subsection{Statement :-} 32 | 33 | 34 | \Large{\textbf{Let }$\boldsymbol{a_{1}, a_{2}, \cdots, a_{n};}$ $\boldsymbol{b_{1}, b_{2}, \cdots, b_{n}}$\textbf{ be all positive real numbers and }$\boldsymbol{r}$\textbf{ is positive rational number. Then}} 35 | \Large{\[\boldsymbol{ 36 | \Bigg(\sum_{i=1}^na_{i}^{r}\Bigg)^{\dfrac{1}{r}}+\Bigg(\sum_{i=1}^na_{i}^{r}\Bigg)^{\dfrac{1}{r}} 37 | \geq\Bigg[\sum_{i=1}^n\big(a_{i}+b_i\big)^{r}\Bigg]^{\dfrac{1}{r}}, \textbf{ when } r>1; }\] 38 | \[\boldsymbol{ 39 | \Bigg(\sum_{i=1}^na_{i}^{r}\Bigg)^{\dfrac{1}{r}}+\Bigg(\sum_{i=1}^na_{i}^{r}\Bigg)^{\dfrac{1}{r}}\leq\Bigg[\sum_{i=1}^n\big(a_{i}+b_i\big)^{r}\Bigg]^{\dfrac{1}{r}}, \textbf{ when } 0 <r<1}\]} \Large{\textbf{The quality occurs when }$\boldsymbol{\{a_n\}_{n\geq 1}}$\textbf{ and }$\boldsymbol{\{b_n\}_{n\geq 1}}$\textbf{ are proportional.}} 40 | 41 | 42 | 43 | 44 | 45 | \end{document} 46 | -------------------------------------------------------------------------------- /Instagram Math Posts/Math Theory Posts/30-07-2020: Holder Inequality/Page 1.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage{amsmath} 3 | \usepackage{times} 4 | \usepackage{anyfontsize} 5 | \usepackage{amsfonts} 6 | \usepackage{mathtools} 7 | \usepackage[paperheight=5in,paperwidth=5in,margin=0.6in]{geometry} 8 | \usepackage[x11names]{xcolor} 9 | \usepackage{tikz} 10 | \usepackage{tcolorbox} 11 | \setlength{\parindent}{0cm} 12 | \usepackage{graphicx} 13 | \graphicspath{{images/}} 14 | 15 | 16 | \begin{document} 17 | \thispagestyle{empty} 18 | \begin{tikzpicture}[remember picture,overlay] 19 | \path [left color=LightSkyBlue1, right color=white] (current page.north east)rectangle (current page.south west); 20 | \end{tikzpicture} 21 | 22 | %\vspace*{2cm} 23 | 24 | \section{Statement:-} 25 | 26 | \textbf{Let }$\boldsymbol{\left\{a_{1}, a_{2}, \cdots, a_{n} \right\},\ \left\{b_{1}, b_{2}, \cdots, b_{n}\right\} ,\ \cdots\cdots ,}$\linebreak $\boldsymbol{ \left\{l_{1}, l_{2}, \cdots, l_{n}\right\}}$ \textbf{be }$l $ \textbf{sets of positive real numbers and }$\boldsymbol{\alpha, \beta, \cdots,\lambda}$\textbf{ be positive rational numbers such that }$\boldsymbol{\alpha+\beta+\cdots+\lambda=1 .}$ \textbf{Then} 27 | \begin{multline*} 28 | \boldsymbol{a_{1}^{\alpha} b_{1}^{\beta} \cdots l_{1}^{\lambda}+a_{2}^{\alpha} b_{2}^{\beta} \cdots l_{2}^{\lambda}+\cdots + a_{n}^{\alpha} b_{n}^{\beta} \cdots l_{n}^{\lambda}}\\ 29 | \boldsymbol{ \leq \left( a_{1}+\cdots+a_{n} \right)^{\alpha} \left( b_{1}+\cdots +b_{n}\right)^{\beta} } \\ 30 | \boldsymbol{ \cdots \left(l_{1}+l_{2}+\cdots+l_{n}\right)^{\lambda} } 31 | \end{multline*} 32 | \textbf{The equality occurs when }$ \boldsymbol{a_i,b_i, \cdots,l_i} $ \textbf{are proportional.} 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | \end{document} 54 | -------------------------------------------------------------------------------- /Instagram Math Posts/Math Theory Posts/30-07-2020: Holder Inequality/Page 6.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage{amsmath} 3 | \usepackage{times} 4 | \usepackage{anyfontsize} 5 | \usepackage{amsfonts} 6 | \usepackage{mathtools} 7 | \usepackage[paperheight=5in,paperwidth=5in,margin=0.6in]{geometry} 8 | \usepackage[x11names]{xcolor} 9 | \usepackage{tikz} 10 | \usepackage{tcolorbox} 11 | \setlength{\parindent}{0cm} 12 | \usepackage{graphicx} 13 | \usepackage{background} 14 | \usepackage{blindtext} 15 | \backgroundsetup{ scale=1, angle=0, opacity=1, contents={\begin{tikzpicture}[remember picture,overlay] \path [left color=LightSkyBlue1, right color=white] (current page.south west)rectangle (current page.north east); 16 | \end{tikzpicture}} } 17 | \graphicspath{{images/}} 18 | \setcounter{section}{4} 19 | \pagestyle{empty} 20 | \begin{document} 21 | \color{black} 22 | \pagebreak 23 | 24 | \vspace*{0.35cm} 25 | \section{Integral Version of H\"{o}lder Inequality} 26 | \subsection{Statement:-} 27 | \textbf{Let }$\boldsymbol{ f_1,f_2,\cdots, f_n}$\textbf{ are n functions who are positive in the region }$\boldsymbol{[a,b] }$\textbf{. And }$\boldsymbol{p_1, p_2, \cdots,p_n}$\textbf{ be positive rational numbers such that }$\boldsymbol{p_1+p_2+\cdots+p_n=1 .}$\textbf{ Then}$$\boldsymbol{\prod_{k=1}^n \left[\left(\int_a^b f_k (x)dx \right)^{p_k}\right]\geq \int_a^b\left[ \prod_{k=1}^n\left(f_k (x)\right)^{p_k}\right]dx}$$ 28 | 29 | 30 | \end{document} -------------------------------------------------------------------------------- /Instagram Math Posts/Math Theory Posts/30-07-2020: Holder Inequality/Page 7.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage{amsmath} 3 | \usepackage{times} 4 | \usepackage{anyfontsize} 5 | \usepackage{amsfonts} 6 | \usepackage{mathtools} 7 | \usepackage[paperheight=6in,paperwidth=6in,margin=0.6in]{geometry} 8 | \usepackage[x11names]{xcolor} 9 | \usepackage{tikz} 10 | \usepackage{tcolorbox} 11 | \setlength{\parindent}{0cm} 12 | \usepackage{graphicx} 13 | \usepackage{background} 14 | \usepackage{blindtext} 15 | \backgroundsetup{ scale=1, angle=0, opacity=1, contents={\begin{tikzpicture}[remember picture,overlay] \path [left color=LightSkyBlue1, right color=white] (current page.south west)rectangle (current page.north east); 16 | \end{tikzpicture}} } 17 | \graphicspath{{images/}} 18 | \setcounter{section}{5} 19 | \setcounter{subsection}{1} 20 | \pagestyle{empty} 21 | \begin{document} 22 | \color{black} 23 | \pagebreak 24 | 25 | 26 | \subsection{Proof:-} 27 | \begin{align*} 28 | & \sum_{k=1}^n \left[\frac{p_kf_k}{\displaystyle{\int_a^b f_k (x)dx}}\right]\geq \prod_{k=1}^n \left[\left(\frac{f_k (x)}{\displaystyle{\int_a^b f_k (x)dx}} \right)^{p_k}\right]\\ 29 | \implies & \int_a^b \left[\sum_{k=1}^n \left(\frac{p_kf_k(x)}{\displaystyle{\int_a^b f_k (x)dx}}\right) \right]dx \geq \int_a^b \left[ \prod_{k=1}^n \left[\left(\frac{f_k (x)}{\displaystyle{\int_a^b f_k (x)dx}} \right)^{p_k}\right]\right]dx\\ 30 | \implies & \sum_{k=1}^n \left[\frac{\displaystyle{p_k\int_a^bf_k(x)dx}}{\displaystyle{\int_a^b f_k (x)dx}}\right]\geq \frac{\displaystyle{\int_a^b \left[ 31 | \prod\limits_{k=1}^n \left( f_k (x)\right)^{p_k}\right]dx }}{\displaystyle{\prod\limits_{k=1}^n \left[\left(\int_a^b f_k (x)dx \right)^{p_k}\right]}}\\ 32 | \implies & \prod\limits_{k=1}^n \left[\left(\int_a^b f_k (x)dx \right)^{p_k}\right] \geq \int_a^b\left[ \prod_{k=1}^n\left(f_k (x)\right)^{p_k}\right]dx 33 | \end{align*} 34 | This completes the proof 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | \end{document} -------------------------------------------------------------------------------- /Instagram Math Posts/Math Theory Posts/30-07-2020: Holder Inequality/frontpage.tex: -------------------------------------------------------------------------------- 1 | \documentclass[12pt]{article} 2 | \usepackage{amsmath} 3 | \usepackage{times} 4 | \usepackage{anyfontsize} 5 | \usepackage{amsfonts} 6 | \usepackage{mathtools} 7 | \usepackage[paperheight=4in,paperwidth=12in,margin=1in]{geometry} 8 | \usepackage[x11names]{xcolor} 9 | \usepackage{tikz} 10 | \usepackage{tcolorbox} 11 | \setlength{\parindent}{0cm} 12 | \usepackage{graphicx} 13 | \graphicspath{{images/}} 14 | 15 | 16 | \begin{document} 17 | \thispagestyle{empty} 18 | 19 | 20 | \vfill 21 | $$ 22 | \Huge{\boldsymbol{\splitdfrac{a_{1}^{\alpha} b_{1}^{\beta} \cdots l_{1}^{\lambda}+a_{2}^{\alpha} b_{2}^{\beta} \cdots l_{2}^{\lambda}+\cdots + a_{n}^{\alpha} b_{n}^{\beta} \cdots l_{n}^{\lambda}}{\leq \left( a_{1}+\cdots+a_{n} \right)^{\alpha} \left( b_{1}+\cdots +b_{n}\right)^{\beta} \cdots \left(l_{1}+l_{2}+\cdots+l_{n}\right)^{\lambda} }}}$$ 23 | \vfill 24 | 25 | 26 | \end{document} -------------------------------------------------------------------------------- /Instagram Math Posts/Read Me.md: -------------------------------------------------------------------------------- 1 | # Instagram Math Projects 2 | [![Instagram](https://img.shields.io/badge/Instagram-Creative__Math.Solving-ff69b4?logo=Instagram)](https://www.instagram.com/creative.math_solving/) 3 | 4 | Most of my posts' latex files are here 5 | -------------------------------------------------------------------------------- /Instagram Math Posts/Regular Qestions/28-08-2020: Regular Question/30-08-2020: Solution.tex: -------------------------------------------------------------------------------- 1 | 2 | \documentclass[12pt]{article} 3 | \usepackage[paperheight=14in,paperwidth=14in,margin=1in]{geometry} 4 | %\usepackage{fullpage} 5 | 6 | \usepackage{mathtools} 7 | \usepackage{amsfonts} 8 | \usepackage{amsmath} 9 | \usepackage[dvipsnames]{xcolor} 10 | \usepackage{tikz} 11 | \usepackage{background} 12 | \usepackage{blindtext} 13 | \backgroundsetup{ scale=1, angle=0, opacity=1, contents={\begin{tikzpicture}[remember picture,overlay] \path [inner color=Yellow,outer color=Apricot] (current page.south west)rectangle (current page.north east); \end{tikzpicture}} } 14 | 15 | \pagestyle{empty} 16 | \begin{document} 17 | \pagebreak 18 | \vspace*{4cm} 19 | 20 | \Huge{\begin{align*} 21 | & \frac{y+z}{x} + \frac{z+x}{y} + \frac{x+y}{z} \geq 3+2\left(\frac{x}{y+z}+\frac{y}{z+x}+\frac{z}{x+y}\right)\\[5mm] 22 | \iff & \frac{y+z}{x} + \frac{z+x}{y} + \frac{x+y}{z} +3\geq 2\left(\frac{x}{y+z}+\frac{y}{z+x}+\frac{z}{x+y}+3\right)\\[5mm] 23 | \iff & \frac{y+z}{x}+1 + \frac{z+x}{y} +1+ \frac{x+y}{z}+1 \geq 2\left(\frac{x}{y+z}+1+\frac{y}{z+x}+1+\frac{z}{x+y}+1\right)\\[5mm] 24 | \iff & \frac{x+y+z}{x} + \frac{y+z+x}{y} + \frac{x+y+z}{z} \geq 2\left(\frac{x+y+z}{y+z}+\frac{y+z+x}{z+x}+\frac{z+x+y}{x+y}\right)\\[5mm] 25 | \iff & (x+y+z)\left(\frac{1}{x} + \frac{1}{y} + \frac{1}{z}\right) \geq 2(x+y+z)\left(\frac{1}{y+z}+\frac{1}{z+x}+\frac{1}{x+y}\right) \\[5mm] 26 | \iff & \frac{1}{x} + \frac{1}{y} + \frac{1}{z}\geq 2\left(\frac{1}{y+z}+\frac{1}{z+x}+\frac{1}{x+y}\right)\\[5mm] 27 | \iff & \sum_{cyc} \frac{1}{2}\left(\frac{1}{x}+\frac{1}{y}\right)-\frac{2}{x+y}=\sum_{cyc} \frac{x (x+y)+y (x+y)-4xy}{2xy (x+y)}=\sum_{cyc} \frac{(x-y)^2}{2xy (x+y)}\geq 0 28 | \end{align*}} 29 | \end{document} 30 | -------------------------------------------------------------------------------- /Internships/2023 - Summer Internship.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Internships/2023 - Summer Internship.pdf -------------------------------------------------------------------------------- /Internships/2023 - Summer Internship.tex: -------------------------------------------------------------------------------- 1 | \documentclass{report} 2 | \input{preamble-formal} 3 | \input{letterfonts} 4 | \input{macros} 5 | \usepackage[backend=biber,style=alphabetic]{biblatex} 6 | 7 | \addbibresource{refs.bib} 8 | \begin{document} 9 | 10 | 11 | \include{chapters/ch-prereq} 12 | \include{chapters/ch-vbp_fact} 13 | \include{chapters/ch-vf_fact} 14 | \printbibliography 15 | \end{document} -------------------------------------------------------------------------------- /Internships/macros.tex: -------------------------------------------------------------------------------- 1 | \newcommand{\Qed}{\begin{flushright}\qed\end{flushright}} 2 | \newcommand{\parinn}{\setlength{\parindent}{1cm}} 3 | \newcommand{\parinf}{\setlength{\parindent}{0cm}} 4 | \newcommand{\del}[2]{\frac{\partial #1}{\partial #2}} 5 | \newcommand{\Del}[3]{\frac{\partial^{#1} #2}{\partial^{#1} #3}} 6 | \newcommand{\deld}[2]{\dfrac{\partial #1}{\partial #2}} 7 | \newcommand{\Deld}[3]{\dfrac{\partial^{#1} #2}{\partial^{#1} #3}} 8 | \newcommand{\uin}{\mathbin{\rotatebox[origin=c]{90}{$\in$}}} 9 | \newcommand{\usubset}{\mathbin{\rotatebox[origin=c]{90}{$\subset$}}} 10 | \newcommand{\lt}{\left} 11 | \newcommand{\rt}{\right} 12 | \newcommand{\exs}{\exists} 13 | \newcommand{\st}{\strut} 14 | \newcommand{\dps}[1]{\displaystyle{#1}} 15 | \newcommand{\la}{\langle} 16 | \newcommand{\ra}{\rangle} 17 | \newenvironment{solution} 18 | {\textit{\textbf{Solution:}} 19 | } 20 | { 21 | \hfill $\blacksquare$ 22 | 23 | \vspace{1cm} 24 | } 25 | \newcommand{\sol}[1]{\begin{solution}#1\end{solution}} 26 | \newcommand{\solve}[1]{\setlength{\parindent}{0cm}\textbf{\textit{Solution: }}\setlength{\parindent}{1cm}#1 \Qed} 27 | \newcommand{\mat}[1]{\left[\begin{matrix}#1\end{matrix}\right]} 28 | \newcommand\numberthis{\addtocounter{equation}{1}\tag{\theequation}} 29 | \newcommand{\handout}[3]{ 30 | \noindent 31 | \begin{center} 32 | \framebox{ 33 | \vbox{ 34 | \hbox to 6.5in { {\bf Complexity Theory I } \hfill Jan -- May, 2023 } 35 | \vspace{4mm} 36 | \hbox to 6.5in { {\Large \hfill #1 \hfill} } 37 | \vspace{2mm} 38 | \hbox to 6.5in { {\em #2 \hfill #3} } 39 | } 40 | } 41 | \end{center} 42 | \vspace*{4mm} 43 | } 44 | 45 | \newcommand{\lecture}[3]{\handout{Lecture #1}{Lecturer: #2}{Scribe: #3}} 46 | 47 | 48 | \newcommand{\ov}[1]{\overline{#1}} 49 | \newcommand{\thmref}[1]{\hyperref[#1]{Theorem \ref{#1}}} -------------------------------------------------------------------------------- /Journals/Journals.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Journals/Journals.pdf -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | MIT License 2 | 3 | Copyright (c) 2023 Soham Chatteerjee 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | -------------------------------------------------------------------------------- /Manuals/Git/git-help.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Manuals/Git/git-help.pdf -------------------------------------------------------------------------------- /Manuals/Git/images/branches.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Manuals/Git/images/branches.png -------------------------------------------------------------------------------- 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2/Old and New Inequalities Volume 2 Solution.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Old and New Inequalities Volume 2/Old and New Inequalities Volume 2 Solution.pdf -------------------------------------------------------------------------------- /Old and New Inequalities Volume 2/Old and New Inequalities Volume 2 Solution.tex: -------------------------------------------------------------------------------- 1 | \documentclass{article} 2 | \usepackage{fullpage} 3 | \usepackage{amsfonts} 4 | \usepackage{amsmath} 5 | \usepackage[svgnames]{xcolor} 6 | \usepackage{tikz} 7 | \usepackage[explicit]{titlesec} 8 | \usepackage{graphicx} 9 | \graphicspath{{Pictures/}} 10 | \begin{document} 11 | 12 | \begin{center} 13 | \section*{Solutions} 14 | \end{center} 15 | 16 | \end{document} -------------------------------------------------------------------------------- /Old and New Inequalities Volume 2/Old and New Inequalities Volume 2.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Old and New Inequalities Volume 2/Old and New Inequalities Volume 2.pdf -------------------------------------------------------------------------------- /Old and New Inequalities Volume 2/Pictures/1.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Old and New Inequalities Volume 2/Pictures/1.jpg -------------------------------------------------------------------------------- /Old and New Inequalities Volume 2/Pictures/2.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Old and New Inequalities Volume 2/Pictures/2.jpg -------------------------------------------------------------------------------- /PROMYS 2020/PROMYS 2020.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/PROMYS 2020/PROMYS 2020.pdf -------------------------------------------------------------------------------- /PROMYS 2020/images/a.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/PROMYS 2020/images/a.jpg -------------------------------------------------------------------------------- /PROMYS 2020/images/b.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/PROMYS 2020/images/b.jpg 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factorization/template.blg: -------------------------------------------------------------------------------- 1 | [0] Config.pm:307> INFO - This is Biber 2.19 2 | [0] Config.pm:310> INFO - Logfile is 'template.blg' 3 | [77] biber:340> INFO - === Fri Jun 9, 2023, 17:45:56 4 | [92] Biber.pm:419> INFO - Reading 'template.bcf' 5 | [166] Biber.pm:979> INFO - Found 34 citekeys in bib section 0 6 | [179] Biber.pm:4419> INFO - Processing section 0 7 | [190] Biber.pm:4610> INFO - Looking for bibtex file 'ref.bib' for section 0 8 | [191] bibtex.pm:1713> INFO - LaTeX decoding ... 9 | [225] bibtex.pm:1519> INFO - Found BibTeX data source 'ref.bib' 10 | [494] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'variable = shifted' with 'variable = non-ignorable' 11 | [494] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'normalization = NFD' with 'normalization = prenormalized' 12 | [494] Biber.pm:4239> INFO - Sorting list 'anyt/global//global/global' of type 'entry' with template 'anyt' and locale 'en-US' 13 | [494] Biber.pm:4245> INFO - No sort tailoring available for locale 'en-US' 14 | [531] bbl.pm:660> INFO - Writing 'template.bbl' with encoding 'UTF-8' 15 | [546] bbl.pm:763> INFO - Output to template.bbl 16 | [546] Biber.pm:131> WARN - legacy month field 'mar' in entry 'sudreedsol' is not an integer - this will probably not sort properly. 17 | [546] Biber.pm:131> WARN - legacy month field 'dec' in entry 'grobnerbaspolyideL' is not an integer - this will probably not sort properly. 18 | [546] Biber.pm:133> INFO - WARNINGS: 2 19 | -------------------------------------------------------------------------------- /Talk on ACT factorization/template.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Talk on ACT factorization/template.pdf -------------------------------------------------------------------------------- /Talk on ACT factorization/template.snm: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Talk on ACT factorization/template.snm -------------------------------------------------------------------------------- /Templates/Beamer/BNU Beamer Theme/ctex.zip: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Beamer/BNU Beamer Theme/ctex.zip -------------------------------------------------------------------------------- /Templates/Beamer/BNU Beamer Theme/ctex/ctex.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Beamer/BNU Beamer Theme/ctex/ctex.pdf 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https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Beamer/BNU Beamer Theme/pic/Beijing_Normal_University_Logo-eps-converted-to.pdf -------------------------------------------------------------------------------- /Templates/Beamer/BNU Beamer Theme/pic/fq_syn.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Beamer/BNU Beamer Theme/pic/fq_syn.pdf -------------------------------------------------------------------------------- /Templates/Beamer/BNU Beamer Theme/ref.bib: -------------------------------------------------------------------------------- 1 | @inproceedings{thu, 2 | author = {Trinkle23897}, 3 | title = {THU Beamer Theme}, 4 | year = {2020}, 5 | url = {https://github.com/tuna/THU-Beamer-Theme}, 6 | } 7 | 8 | @inproceedings{dlut, 9 | author = {fuujiro}, 10 | title = {DLUT Beamer Theme}, 11 | year = {2021}, 12 | url = {https://github.com/fuujiro/DLUT-Beamer-Slide-V1/tree/master}, 13 | } -------------------------------------------------------------------------------- /Templates/Beamer/BNU Beamer Theme/slide.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Beamer/BNU Beamer Theme/slide.pdf -------------------------------------------------------------------------------- /Templates/Beamer/Beamer - Instituto Politécnico de Bragança - ESTiG/Imagens/logo.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Beamer/Beamer - Instituto Politécnico de Bragança - ESTiG/Imagens/logo.png -------------------------------------------------------------------------------- /Templates/Beamer/Beamer - Instituto Politécnico de Bragança - ESTiG/beamerIntro.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Beamer/Beamer - Instituto Politécnico de Bragança - ESTiG/beamerIntro.pdf -------------------------------------------------------------------------------- /Templates/Beamer/Beamer - Instituto Politécnico de Bragança - ESTiG/beamerIntro.snm: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Beamer/Beamer - Instituto Politécnico de Bragança - ESTiG/beamerIntro.snm -------------------------------------------------------------------------------- /Templates/Beamer/Beamer - Instituto Politécnico de Bragança - ESTiG/beamerIntro.vrb: -------------------------------------------------------------------------------- 1 | \frametitle{\emph{enumerate}} 2 | 3 | \begin{columns} 4 | \column{.5\textwidth} 5 | \begin{block} 6 | \scriptsize{ 7 | \begin{verbatim} 8 | \begin{enumerate} 9 | \item The first one. 10 | \item The second one. 11 | \begin{enumerate} 12 | \item The large one. 13 | \item The small one. 14 | \end{enumerate} 15 | \item The third one. 16 | \end{enumerate} 17 | \end{verbatim} 18 | } 19 | \end{block} 20 | \column{.5\textwidth} 21 | 22 | \begin{enumerate} 23 | \item The first one. 24 | \item The second one. 25 | \begin{enumerate} 26 | \item The large one. 27 | \item The small one. 28 | \end{enumerate} 29 | \item The third one. 30 | \end{enumerate} 31 | \end{columns} 32 | \vspace{1.5cm} 33 | \href{https://tug.ctan.org/macros/latex/contrib/beamer/doc/beameruserguide.pdf}{Clique aqui para mais informações.} 34 | 35 | -------------------------------------------------------------------------------- /Templates/Beamer/Beamer - Instituto Politécnico de Bragança - ESTiG/bibliography.bib: -------------------------------------------------------------------------------- 1 | @misc{festo, 2 | author = {Festo}, 3 | title = {Gripping modelled on an octopus tentacle}, 4 | howpublished = {\url{https://www.festo.com/net/en-us_us/SupportPortal/Files/630182/Festo_TentacleGripper_en.pdf}}, 5 | month = {march}, 6 | year = {2017}, 7 | } -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/00Referencias.tex: -------------------------------------------------------------------------------- 1 | % não mexa! 2 | 3 | \begin{frame}<presentation:0> 4 | \addtocounter{framenumber}{-1} 5 | \bibliography{referencias} 6 | \end{frame} -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/01Capa.tex: -------------------------------------------------------------------------------- 1 | % não mexa! 2 | 3 | \begin{frame}[plain] 4 | 5 | \begin{tikzpicture}[overlay,remember picture] 6 | \node[left=-0.15cm] at (current page.0){ 7 | \includegraphics[scale=0.142]{imagens/capa} 8 | }; 9 | \end{tikzpicture} 10 | 11 | \titlepage 12 | 13 | \end{frame} 14 | 15 | \section[Agenda]{} 16 | 17 | \begin{frame} 18 | \frametitle{Agenda} 19 | \tableofcontents 20 | \end{frame} -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/02Introducao.tex: -------------------------------------------------------------------------------- 1 | \section{Introdução} 2 | 3 | \begin{frame} 4 | 5 | \frametitle{Introdução} 6 | 7 | Apresente a introdução do seu trabalho. 8 | 9 | \end{frame} 10 | 11 | 12 | \begin{frame} 13 | 14 | \frametitle{Objetivos} 15 | 16 | \begin{itemize} 17 | 18 | \item Objetivo Geral 19 | \begin{itemize} 20 | \item Objetivo geral do trabalho. 21 | \end{itemize} 22 | 23 | \item Objetivos Específicos 24 | \begin{itemize} 25 | \item Objetivo específico 1; 26 | \item Objetivo específico 2; 27 | \item ...; 28 | \item Objetivo específico n. 29 | \end{itemize} 30 | 31 | \end{itemize} 32 | 33 | \end{frame} -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/03RevisaoLiteraturaConsideracoesGerais.tex: -------------------------------------------------------------------------------- 1 | \section{Revisão da Literatura/Considerações Gerais} 2 | 3 | 4 | \subsection{Assunto 1} 5 | 6 | \begin{frame} 7 | 8 | \frametitle{Assunto 1} 9 | 10 | Slide 1 assunto 1... 11 | 12 | \end{frame} 13 | 14 | 15 | \begin{frame} 16 | 17 | \frametitle{Assunto 1} 18 | 19 | Slide 2 do assunto 1... 20 | 21 | \end{frame} 22 | 23 | 24 | \subsection{Assunto 2} 25 | 26 | \begin{frame} 27 | 28 | \frametitle{Assunto 2} 29 | 30 | Slide 1 do assunto 2... 31 | 32 | \end{frame} 33 | 34 | 35 | \begin{frame} 36 | 37 | \frametitle{Assunto 2} 38 | 39 | Slide 2 do assunto 2... 40 | 41 | \end{frame} 42 | 43 | 44 | \subsection{Assunto n} 45 | 46 | \begin{frame} 47 | 48 | \frametitle{Assunto n} 49 | 50 | Slide 1 do assunto n... 51 | 52 | \end{frame} 53 | 54 | 55 | \begin{frame} 56 | 57 | \frametitle{Assunto n} 58 | 59 | Slide 2 do assunto n... 60 | 61 | \end{frame} -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/04Metodologia.tex: -------------------------------------------------------------------------------- 1 | \section{Metodologia} 2 | 3 | 4 | \begin{frame} 5 | 6 | \frametitle{Metodologia} 7 | 8 | Slide 1 da metodologia... 9 | 10 | Sugestão: utilize um diagrama para apresentar de forma geral sua metodologia. 11 | 12 | \end{frame} 13 | 14 | 15 | \begin{frame} 16 | 17 | \frametitle{Metodologia} 18 | 19 | Slide 2 da metodologia... 20 | 21 | \end{frame} 22 | 23 | 24 | \begin{frame} 25 | 26 | \frametitle{Metodologia} 27 | 28 | Slide n da metodologia... 29 | 30 | \end{frame} -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/05Resultados.tex: -------------------------------------------------------------------------------- 1 | \section{Resultados} 2 | 3 | 4 | \begin{frame} 5 | 6 | \frametitle{Resultados} 7 | 8 | Slide 1 dos resultados... 9 | 10 | \end{frame} 11 | 12 | 13 | \begin{frame} 14 | 15 | \frametitle{Resultados} 16 | 17 | Slide 2 dos resultados... 18 | 19 | \end{frame} 20 | 21 | 22 | \begin{frame} 23 | 24 | \frametitle{Resultados} 25 | 26 | Slide n dos resultados... 27 | 28 | \end{frame} -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/06Conclusao.tex: -------------------------------------------------------------------------------- 1 | \section{Conclusão e Trabalhos Futuros} 2 | 3 | 4 | \begin{frame} 5 | 6 | \frametitle{Conclusão e Trabalhos Futuros} 7 | 8 | Slide 1 da conclusão... 9 | 10 | \end{frame} 11 | 12 | 13 | \begin{frame} 14 | 15 | \frametitle{Conclusão e Trabalhos Futuros} 16 | 17 | Slide 2 da conclusão... 18 | 19 | \end{frame} 20 | 21 | 22 | \begin{frame} 23 | 24 | \frametitle{Conclusão e Trabalhos Futuros} 25 | 26 | Slide n da conclusão... 27 | 28 | \end{frame} 29 | 30 | 31 | \begin{frame} 32 | \begin{center} 33 | \Huge{OBRIGADO!} 34 | \end{center} 35 | \end{frame} -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/Template Latex - Apresentacao - IFSP - SBV.bbl: -------------------------------------------------------------------------------- 1 | \providecommand{\abntreprintinfo}[1]{% 2 | \citeonline{#1}} 3 | \setlength{\labelsep}{0pt}\begin{thebibliography}{} 4 | \providecommand{\abntrefinfo}[3]{} 5 | \providecommand{\abntbstabout}[1]{} 6 | \abntbstabout{v-1.9.7 } 7 | 8 | \bibitem[Abedi et al. 2014]{Abedi2014} 9 | \abntrefinfo{Abedi et al.}{ABEDI et al.}{2014} 10 | {ABEDI, Z. et al. {A}cute, sublethal, and combination effects of azadirachtin 11 | and {B}acillus thuringiensis on the cotton bollworm, {H}elicoverpa armigera. 12 | \textbf{J. Insect Sci.}, v.~14, p. 30--37, 2014.} 13 | 14 | \bibitem[Agaisse e Lereclus 1995]{Agaisse1995} 15 | \abntrefinfo{Agaisse e Lereclus}{AGAISSE; LERECLUS}{1995} 16 | {AGAISSE, H.; LERECLUS, D. {H}ow does {B}acillus thuringiensis produce so much 17 | insecticidal crystal protein? 18 | \textbf{J. Bacteriol.}, v.~177, n.~21, p. 6027--6032, 1995.} 19 | 20 | \bibitem[Agapito-Tenfen et al. 2014]{AgapitoTenfen2014} 21 | \abntrefinfo{Agapito-Tenfen et al.}{AGAPITO-TENFEN et al.}{2014} 22 | {AGAPITO-TENFEN, S.~Z. et al. {E}ffect of stacking insecticidal cry and 23 | herbicide tolerance epsps transgenes on transgenic maize proteome. 24 | \textbf{BMC Plant Biol}, v.~14, p.~346, 2014.} 25 | 26 | \bibitem[Crickmore et al. 2016]{BtNomenclature2016} 27 | \abntrefinfo{Crickmore et al.}{CRICKMORE et al.}{2016} 28 | {CRICKMORE, N. et al. \textbf{{B}acillus thuringiensis toxin nomenclature}. 29 | 2016. 30 | Dispon{\'\i}vel em: \url{http://www.btnomenclature.info}. Acesso em: 04 de out. 31 | de 2016.} 32 | 33 | \bibitem[Nelson e Cox 2014]{Nelson2014} 34 | \abntrefinfo{Nelson e Cox}{NELSON; COX}{2014} 35 | {NELSON, D.~L.; COX, M.~M. \textbf{{P}rincípios de {B}ioquímica de 36 | {L}ehninger}. 6. ed. Porto Alegre: Artmed, 2014. 1328~p.} 37 | 38 | \end{thebibliography} 39 | -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/Template Latex - Apresentacao - IFSP - SBV.brf: -------------------------------------------------------------------------------- 1 | \backcite {Abedi2014, Agaisse1995}{{33}{33}{}} 2 | \backcite {Abedi2014, Agaisse1995}{{33}{33}{}} 3 | \backcite {AgapitoTenfen2014, BtNomenclature2016, Nelson2014}{{33}{33}{}} 4 | \backcite {AgapitoTenfen2014, BtNomenclature2016, Nelson2014}{{33}{33}{}} 5 | \backcite {AgapitoTenfen2014, BtNomenclature2016, Nelson2014}{{33}{33}{}} 6 | \backcite {Agaisse1995}{{33}{33}{}} 7 | \backcite {Agaisse1995}{{33}{33}{}} 8 | \backcite {Abedi2014}{{33}{33}{}} 9 | \backcite {Abedi2014}{{33}{33}{}} 10 | \backcite {BtNomenclature2016}{{33}{33}{}} 11 | \backcite {BtNomenclature2016}{{33}{33}{}} 12 | -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/Template Latex - Apresentacao - IFSP - SBV.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/Template Latex - Apresentacao - IFSP - SBV.pdf -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/Template Latex - Apresentacao - IFSP - SBV.snm: -------------------------------------------------------------------------------- 1 | \beamer@slide {eq:exemplo}{29} 2 | -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/Template Latex - Apresentacao - IFSP - SBV.tex: -------------------------------------------------------------------------------- 1 | % Desenvolvido por: Prof. Dr. David Buzatto 2 | % 3 | % Versão 1.0.2 4 | % Data: 31/01/2023 5 | \documentclass[aspectratio=169]{beamer} 6 | 7 | % a opção hideSubsectionTitle esconde o título das subseções 8 | \usepackage{estruturaApresentacao} 9 | \usepackage[alf,abnt-emphasize=bf]{abntex2cite} 10 | 11 | \begin{document} 12 | 13 | \titulo{Título} 14 | % caso não haja, comente a linha abaixo 15 | \subtitulo{subtítulo (se houver)} 16 | 17 | \autor{Nome Completo} 18 | \orientador{Prof./Profa. Me./Dr./Dra. Nome Completo} 19 | % caso não haja, comente a linha abaixo 20 | \coorientador{Prof./Profa. Me./Dr./Dra. Nome Completo} 21 | 22 | \curso{Nome do Curso} 23 | 24 | % exemplos 25 | %\curso{Bacharelado em Ciência da Computação} 26 | %\curso{Tecnologia em Sistemas para Internet} 27 | %\curso{Especialização em Desenvolvimento de Aplicações para Dispositivos Móveis} 28 | 29 | \local{São João da Boa Vista} 30 | \dia{DIA} 31 | \mes{MÊS} 32 | \ano{ANO} 33 | 34 | 35 | \input{01Capa} 36 | \input{02Introducao} 37 | \input{03RevisaoLiteraturaConsideracoesGerais} 38 | \input{04Metodologia} 39 | \input{05Resultados} 40 | \input{06Conclusao} 41 | 42 | 43 | % exemplos de construções em LaTeX 44 | % comente a linha abaixo para gerar a versão final 45 | \input{07Exemplos} 46 | 47 | \input{00Referencias} 48 | 49 | \end{document} -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/fontes/ClasseExemplo.java: -------------------------------------------------------------------------------- 1 | /** 2 | * Classe de exemplo. 3 | * 4 | * @author David Buzatto 5 | */ 6 | public class ClasseExemplo { 7 | 8 | public static void main( String[] args ) { 9 | System.out.println( "Exemplo de código fonte!" ); 10 | } 11 | 12 | } 13 | -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/imagens/capa.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/imagens/capa.png -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/imagens/exemploFigura.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/imagens/exemploFigura.jpg -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/imagens/exemploQuadro.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/imagens/exemploQuadro.png -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/imagens/logo.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/imagens/logo.png -------------------------------------------------------------------------------- /Templates/Beamer/Template Latex - Apresentação - IFSP - SBV/referencias.bib: -------------------------------------------------------------------------------- 1 | @COMMENT{ 2 | tipos de entradas mais comuns = {}, 3 | article = {artigo em periódico}, 4 | book = {livro}, 5 | online = {recurso online ou página web} 6 | } 7 | 8 | 9 | @article{Abedi2014, 10 | author = {Abedi, Z. and Saber, M. and Vojoudi, S. and Mahdavi, V. and Parsaeyan, E.}, 11 | title = {{A}cute, sublethal, and combination effects of azadirachtin and {B}acillus thuringiensis on the cotton bollworm, {H}elicoverpa armigera}, 12 | journal = {J. Insect Sci.}, 13 | volume = {14}, 14 | pages = {30-37}, 15 | year = {2014} 16 | } 17 | 18 | @article{Agaisse1995, 19 | author = {Agaisse, H. and Lereclus, D.}, 20 | title = {{H}ow does {B}acillus thuringiensis produce so much insecticidal crystal protein?}, 21 | journal = {J. Bacteriol.}, 22 | volume = {177}, 23 | number = {21}, 24 | pages = {6027-6032}, 25 | year = {1995} 26 | } 27 | 28 | @article{AgapitoTenfen2014, 29 | author = {Agapito-Tenfen, S. Z. and Vilperte, V. and Benevenuto, R. F. and Rover, C. M. and Traavik, T. I. and Nodari, R. O.}, 30 | title = {{E}ffect of stacking insecticidal cry and herbicide tolerance epsps transgenes on transgenic maize proteome}, 31 | journal = {BMC Plant Biol}, 32 | volume = {14}, 33 | pages = {346}, 34 | year = {2014} 35 | } 36 | 37 | @book{Nelson2014, 38 | author = {Nelson, David L. and Cox, Michael M.}, 39 | title = {{P}rincípios de {B}ioquímica de {L}ehninger}, 40 | publisher = {Artmed}, 41 | address = {Porto Alegre}, 42 | edition = {6}, 43 | pages = {1328}, 44 | year = {2014} 45 | } 46 | 47 | @misc{BtNomenclature2016, 48 | author = {Crickmore, N. and Baum, J. and Bravo, A. and Lereclus, D. and Narva, K. and Sampson, K. and Schnepf, E. and Sun, M. and Zeigler, D.R.}, 49 | title = {{B}acillus thuringiensis toxin nomenclature}, 50 | year = {2016}, 51 | url = {http://www.btnomenclature.info}, 52 | urlaccessdate = {04 de out. de 2016} 53 | } -------------------------------------------------------------------------------- /Templates/Book/Calladium simple/cal-blanco-texto.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Book/Calladium simple/cal-blanco-texto.png -------------------------------------------------------------------------------- /Templates/Book/Calladium simple/cal_negro.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Book/Calladium simple/cal_negro.png -------------------------------------------------------------------------------- /Templates/Book/Calladium simple/cal_rosa.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Book/Calladium simple/cal_rosa.png -------------------------------------------------------------------------------- /Templates/Book/Calladium simple/cover.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Book/Calladium simple/cover.png -------------------------------------------------------------------------------- /Templates/Book/Calladium simple/cubierta_int.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Book/Calladium simple/cubierta_int.png -------------------------------------------------------------------------------- /Templates/Book/Calladium simple/main.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Book/Calladium simple/main.pdf -------------------------------------------------------------------------------- /Templates/Book/Caraumã/frontmatter/copyrightpage.tex: -------------------------------------------------------------------------------- 1 | % Página de copyright 2 | 3 | {\small 4 | \setlength{\parindent}{0em}\setlength{\parskip}{1em} 5 | ~ 6 | \vfill 7 | 8 | % Data da primeira publicação 9 | Primera edição, \editionyear{} 10 | 11 | % Copyright 12 | Copyright \copyright{} 2024 \authorname 13 | 14 | % Texto resumido da licença 15 | Todo o conteúdo desta publicação está licenciado sob a Licença Creative Commons Atribuição-SemDerivações-SemDerivados 4.0 Internacional. Você está autorizado a compartilhar, copiar e redistribuir o material em qualquer formato ou meio, desde que atribua crédito ao autor original, não modifique o conteúdo de nenhuma forma e não utilize este trabalho para fins comerciais. Para mais detalhes sobre os termos desta licença, visite http://creativecommons.org/licenses/by-nc-nd/4.0/. 16 | 17 | % ISBN, se houver 18 | \ifx\isbn\undefined\else\if\relax\detokenize\expandafter{\isbn}\relax\else{ISBN \isbn{}}\fi\fi 19 | 20 | % Logotipo da editora 21 | \includegraphics[width=0.07\linewidth]{frontmatter/logo-black.png} 22 | 23 | % Editora 24 | Publicado por \publisher{} 25 | } 26 | -------------------------------------------------------------------------------- /Templates/Book/Caraumã/frontmatter/logo-black.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Book/Caraumã/frontmatter/logo-black.png -------------------------------------------------------------------------------- /Templates/Book/Caraumã/frontmatter/logo-white.png: -------------------------------------------------------------------------------- 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-------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/forta.tex: -------------------------------------------------------------------------------- 1 | % This work is licensed under the GNU aGPL v3 by apehex 2 | % https://github.com/apehex/ 3 | 4 | \documentclass[11pt,fleqn,oneside]{book} % Default font size and left-justified equations 5 | 6 | % ======================================================================================= 7 | \input{context} % Global settings 8 | \renewcommand{\SUBJECT}{\href{https://forta.org}{Forta.org}} 9 | \input{template/forta/main} % Commands and style of the template 10 | 11 | % ======================================================================================= 12 | \togglethemeforta 13 | 14 | % ======================================================================================= 15 | \input{main} 16 | -------------------------------------------------------------------------------- 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-------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/light.tex: -------------------------------------------------------------------------------- 1 | % This work is licensed under the GNU aGPL v3 by apehex 2 | % https://github.com/apehex/ 3 | 4 | \documentclass[11pt,fleqn,oneside]{book} % Default font size and left-justified equations 5 | 6 | % ======================================================================================= 7 | \input{context} % Global settings 8 | \input{template/book/main} % Commands and style of the template 9 | 10 | % ======================================================================================= 11 | \togglethemelight 12 | 13 | % ======================================================================================= 14 | \input{main} 15 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/main.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Book/LatHex Forta/main.pdf -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/sections/appendices/adipiscing.tex: -------------------------------------------------------------------------------- 1 | \section{Ipsum primis} 2 | 3 | In faucibus orci luctus et ultrices posuere cubilia curae; Aliquam nunc ipsum, 4 | sollicitudin ut tempus consectetur, fermentum at lectus. 5 | 6 | Nullam molestie viverra \ref{sec:vestibulum} augue sit amet gravida. 7 | 8 | \newenvironment{nomenclature}[1] 9 | { 10 | \begin{table}[hbt] 11 | \caption{#1} 12 | \begin{center} 13 | \begin{tabular}{|l|l|l|} 14 | \hline 15 | \textbf{Symbol} & \textbf{Unit} & \textbf{Description}\\ 16 | \hline 17 | } 18 | { 19 | \\\hline 20 | \end{tabular} 21 | \end{center} 22 | \end{table} 23 | } 24 | 25 | \subsection{Mauris pellentesque} 26 | 27 | \begin{nomenclature}{Massa sagittis malesuada} 28 | $g$ & $m/s^{2}$ & nisi in mollis gravida 29 | \end{nomenclature} 30 | 31 | \subsection{Nulla massa} 32 | 33 | \begin{nomenclature}{Quis imperdiet} 34 | $Q_{p}$ & $t/h$ & consectetur tortor 35 | \end{nomenclature} 36 | 37 | \begin{nomenclature}{Magna lectus} 38 | $\tau_{a}$ & $^{\circ}C$ & integer mollis bibendum gravida\\ 39 | $f_{s}$ & $/jour$ & vestibulum porta urna at ex dignissim tincidunt 40 | \end{nomenclature} 41 | 42 | \subsection{Nam vitae} 43 | 44 | \begin{nomenclature}{Nibh a lacus tincidunt efficitur} 45 | $X_n$ & $m$ & venenatis nisi\\ 46 | $Y_n$ & $m$ & integer malesuada eu ligula nec pharetra\\ 47 | $Z_n$ & $m$ & fusce non elit lectus 48 | \end{nomenclature} 49 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/sections/appendices/consectetur.tex: -------------------------------------------------------------------------------- 1 | \section*{Integer semper dictum tellus} 2 | 3 | Neque eu cursus faucibus, ipsum magna tincidunt dui, vel scelerisque urna nibh ut nisl: 4 | 5 | \begin{description}[labelwidth=\widthof{\bfseries morbi convallis},align=left] 6 | \item[Duis]{sit amet mattis magna.} 7 | \item[Curabitur]{sit amet fermentum mi.} 8 | \item[Morbi convallis]{purus eu fermentum accumsan, mauris felis consequat ipsum.} 9 | \item[Ut]{sollicitudin sit amet tellus et mollis.} 10 | \end{description} 11 | 12 | \section*{A porttitor orci faucibus sit amet} 13 | 14 | Vivamus et sapien vitae lacus ornare suscipit vitae id mauris: 15 | 16 | \begin{description}[labelwidth=\widthof{\bfseries suspendisse},align=left] 17 | \item[Vivamus]{in dui arcu.} 18 | \item[Morbi]{vitae dolor libero.} 19 | \item[Tellus]{est, pellentesque at ultrices non, consectetur sit amet augue.} 20 | \item[Suspendisse]{elementum mollis nisl at aliquam.} 21 | \end{description} 22 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/sections/part1/quam.tex: -------------------------------------------------------------------------------- 1 | \section{Proin nec metus venenatis} \label{sec:proin} 2 | 3 | Condimentum quam sed, auctor diam. Fusce at bibendum nunc. Vestibulum ut justo 4 | volutpat, placerat turpis at, ultrices lacus. Phasellus blandit fermentum tincidunt. 5 | 6 | Quisque eget est ullamcorper massa vestibulum facilisis eget non quam. Pellentesque 7 | eleifend augue vel elit mattis, ut porta risus sodales. Suspendisse vitae odio 8 | facilisis, venenatis leo ut, consequat turpis. 9 | 10 | \subsection{Integer magna quam} 11 | 12 | In hac habitasse platea dictumst. Pellentesque a hendrerit mauris, ac congue 13 | erat. Maecenas in lorem non velit euismod volutpat. Morbi et arcu quam. Mauris 14 | id scelerisque est. Cras a nunc in justo blandit dictum nec ut tortor. 15 | 16 | \begin{figure}[hb] 17 | \centering\includegraphics[scale=1]{images/orange2.jpg} 18 | \caption{Maecenas varius orci vitae eros euismod placerat} \label{fig:integer} 19 | \end{figure} 20 | 21 | \subsection{Convallis quis elementum feugiat} 22 | 23 | Rutrum in ligula. Nulla ut semper ligula, sed lobortis enim. Vivamus nulla eros, 24 | faucibus ac convallis in, ornare at elit. Aliquam erat odio, finibus at purus ut, 25 | porta ullamcorper odio. Vivamus ac augue tincidunt, semper magna volutpat, 26 | condimentum sem. Praesent eget neque vitae odio volutpat vulputate. 27 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/sections/part2/dolor.tex: -------------------------------------------------------------------------------- 1 | \section{Sed ultrices} \label{sec:sed-ultrices} 2 | 3 | \subsection{Donec pellentesque} 4 | 5 | Tempus ipsum, vitae condimentum nisi efficitur id. In velit mauris, auctor eget 6 | sapien nec, viverra mattis neque. Nunc vel commodo nunc, eget cursus ex. 7 | 8 | \begin{enumerate} 9 | \item{Nunc maximus consequat tristique.} 10 | \item{Praesent luctus ex aliquam rhoncus consectetur.} 11 | \item{Suspendisse mattis velit ante, vitae mollis est pharetra a.} 12 | \item{Duis tincidunt, urna id auctor imperdiet, odio dui ullamcorper nisi.} 13 | \item{Integer tincidunt enim vitae nulla iaculis, in varius metus blandit.} 14 | \item{Nunc quam arcu, fermentum non dapibus condimentum, condimentum eget nunc.} 15 | \end{enumerate} 16 | 17 | \subsection{Euismod sodales} 18 | 19 | \begin{outline} 20 | \lipsum[2] 21 | \end{outline} 22 | 23 | \subsection{Pellentesque a nulla} 24 | 25 | \begin{lstlisting}[language=Solidity] 26 | contract KingOfTheHill is Ownable { 27 | address public owner; // different from the owner in Ownable 28 | 29 | function () public payable { 30 | if(msg.value > jackpot) owner = msg.sender; // local owner 31 | jackpot += msg.value; 32 | } 33 | function takeAll () public onlyOwner { // contract creator 34 | msg.sender.transfer(this.balance); 35 | jackpot = 0; 36 | } 37 | } 38 | \end{lstlisting} 39 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/book/background.tex: -------------------------------------------------------------------------------- 1 | \usepackage[all]{background} 2 | 3 | %---------------------------------------------------------------------------------------- 4 | % SHOW / HIDE PART TITLE IN THE LEFT BAR 5 | %---------------------------------------------------------------------------------------- 6 | 7 | \newif\ifbackgroundtitlevisible 8 | \backgroundtitlevisibletrue 9 | 10 | \newif\ifbackgroundbarvisible 11 | \backgroundbarvisibletrue 12 | 13 | %---------------------------------------------------------------------------------------- 14 | % CONFIGURE LEFT BAR 15 | %---------------------------------------------------------------------------------------- 16 | 17 | \backgroundsetup{ 18 | scale=1, 19 | color=bgacc, 20 | opacity=1, 21 | angle=0, 22 | position=current page.south west, 23 | vshift=0mm, 24 | hshift=16mm, % Adjust the distance from the left edge of the page 25 | contents={% 26 | \tikz{ 27 | % \fill[bgacc] (0,0) rectangle (6mm,16mm); % bottom bar, 6mm wide, 16mm tall 28 | \ifbackgroundbarvisible 29 | \fill[bgacc] (0,\paperheight) rectangle (8mm,-\paperheight); % bar width 6mm 30 | \fi 31 | \ifbackgroundtitlevisible 32 | \node[rotate=90, fgacc, font=\huge\bfseries\headingfontfamily, anchor=west] at (4mm, 16mm) {\currentparttitle}; 33 | \fi 34 | } 35 | } 36 | } 37 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/book/bibliography.tex: -------------------------------------------------------------------------------- 1 | \usepackage[style=alphabetic,citestyle=numeric,sorting=nyt,sortcites=true,autopunct=true,autolang=other,hyperref=true,abbreviate=false,backref=true,backend=bibtex]{biblatex} 2 | 3 | \usepackage{makeidx} % Required to make an index 4 | \makeindex % Tells LaTeX to create the files required for indexing 5 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/book/cover.tex: -------------------------------------------------------------------------------- 1 | \newcommand{\coverpage}[5]{ 2 | % #1 - title 3 | % #2 - subtitle 4 | % #3 - author 5 | % #4 - date 6 | % #5 - subject 7 | \pagestyle{empty} 8 | \newgeometry{left=0cm,top=0cm,right=0cm,bottom=0cm} 9 | 10 | \begin{tikzpicture}[remember picture,overlay] 11 | 12 | %%%%%%%%%%%%%%%%%%%% Layers %%%%%%%%%%%%%%%%%%%%%%%% 13 | \pgfdeclarelayer{bg} % declare background layer 14 | \pgfdeclarelayer{fg} % declare background layer 15 | \pgfsetlayers{bg,main,fg} % set the order of the layers (main is the standard layer) 16 | 17 | %%%%%%%%%%%%%%%%%%%% Background %%%%%%%%%%%%%%%%%%%%%%%% 18 | \fill[bg] (current page.south west) rectangle (current page.north east); 19 | 20 | %%%%%%%%%%%%%%%%%%%% Background Polygon %%%%%%%%%%%%%%%%%%%% 21 | 22 | % top left 23 | \foreach \i in {0.5,...,20} {\drawhexagon{}{$(current page.north west)+(2.5,0)$}{\i cm}{0}{accent!60,draw};} 24 | 25 | % bottom left 26 | \foreach \i in {2.5,...,22} {\drawhexagon{}{$(current page.west)+(2.5,-5)$}{\i cm}{0}{accent!60,draw};} 27 | 28 | % center right 29 | \foreach \i in {0.5,...,22} {\drawhexagon{}{$(current page.north east)+(0,-9.5)$}{\i cm}{0}{accent!90,draw};} 30 | 31 | % bottom right 32 | \foreach \i in {21,...,2} {\drawhexagon{}{$(current page.south east)+(-0.2,-0.45)$}{\i cm}{0}{accent!85,draw};} 33 | 34 | %%%%%%%%%%%%%%%%%%%% Title + Subtitle %%%%%%%%%%%%%%%%%%%% 35 | \drawtext{\Huge\textsc{\textbf{#1}}\\\Large\textsc{#2}}{$(current page.center)+(3.2,-3.2)$}{3cm}{-60}{text=fg,align=right,font=\headingfontfamily}; 36 | 37 | %%%%%%%%%%%%%%%%%%%% Author Name %%%%%%%%%%%%%%%%%%%% 38 | \begin{pgfonlayer}{fg} 39 | \drawtext{\Large\textsc{#3}\\\Large\textsc{#4}}{$(current page.east)+(-0.5,-5.2)$}{2cm}{0}{text=fg,anchor=east,align=right,font=\headingfontfamily}; 40 | \end{pgfonlayer} 41 | 42 | %%%%%%%%%%%%%%%%%%%% Year %%%%%%%%%%%%%%%%%%%% 43 | \drawhexagon{\Large #5}{$(current page.west)+(2.5,-5)$}{2.5 cm}{0}{accent!60,draw,text=fg,font=\headingfontfamily}; 44 | 45 | \end{tikzpicture} 46 | \restoregeometry 47 | } 48 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/book/main.tex: -------------------------------------------------------------------------------- 1 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 2 | % By Apehex 3 | % github.com/apehex 4 | % 5 | % Built upon the The Legrand Orange Book by: 6 | % Mathias Legrand (legrand.mathias@gmail.com) 7 | % 8 | % License: 9 | % CC BY-NC-SA 3.0 (http://creativecommons.org/licenses/by-nc-sa/3.0/) 10 | % 11 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 12 | 13 | %------------------------------------------------------------------------------ 14 | % GENERIC 15 | %------------------------------------------------------------------------------ 16 | 17 | % ALL GENERIC FEATURES -------------------------------------------------------- 18 | \input{template/generic/main} 19 | 20 | %------------------------------------------------------------------------------ 21 | % BOOK 22 | %------------------------------------------------------------------------------ 23 | 24 | % PAGE LAYOUT ----------------------------------------------------------------- 25 | \input{template/book/page} 26 | % TITLES ---------------------------------------------------------------------- 27 | \input{template/book/titles} 28 | % COVER ----------------------------------------------------------------------- 29 | \input{template/book/cover} 30 | % TOC ------------------------------------------------------------------------- 31 | \input{template/book/toc} 32 | % BACKGROUND ------------------------------------------------------------------ 33 | \input{template/book/background} 34 | % BIBLIOGRAPHY ---------------------------------------------------------------- 35 | \input{template/book/bibliography} 36 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/book/page.tex: -------------------------------------------------------------------------------- 1 | %---------------------------------------------------------------------------------------- 2 | % GEOMETRY 3 | %---------------------------------------------------------------------------------------- 4 | 5 | \usepackage[top=2cm,bottom=2cm,left=4cm,right=2cm,headsep=10pt,a4paper]{geometry} % margins 6 | 7 | %---------------------------------------------------------------------------------------- 8 | % LANDSCAPE 9 | %---------------------------------------------------------------------------------------- 10 | 11 | \usepackage{pdflscape} 12 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/book/titles.tex: -------------------------------------------------------------------------------- 1 | \usepackage{titlesec} 2 | 3 | %---------------------------------------------------------------------------------------- 4 | % SET TEXT FOR THE PART PAGE 5 | %---------------------------------------------------------------------------------------- 6 | 7 | \newcommand{\currentparttitle}{} 8 | \newcommand{\currentpartintro}{} 9 | \newcommand{\setparttitle}[1]{\renewcommand{\currentparttitle}{#1}} 10 | \newcommand{\setpartintro}[1]{\renewcommand{\currentpartintro}{#1}} 11 | 12 | %---------------------------------------------------------------------------------------- 13 | % LAYOUT 14 | %---------------------------------------------------------------------------------------- 15 | 16 | \titlespacing*{\part}{-3cm}{9cm}{20pt} 17 | 18 | %---------------------------------------------------------------------------------------- 19 | % FORMAT 20 | %---------------------------------------------------------------------------------------- 21 | 22 | \titleformat{\part}[display] 23 | {} 24 | {} 25 | {0pt} 26 | {\begin{tikzpicture}[overlay] 27 | % horizontal bg strip behind title 28 | \node[anchor=north west, inner sep=0mm, outer sep=0pt, minimum height=48mm, minimum width=\paperwidth, xshift=0cm, yshift=2.8cm, fill=bg] {\parbox{\paperwidth}{}}; 29 | % introduction block below title 30 | \node[anchor=north west, inner sep=0pt, outer sep=0pt, minimum height=48mm, minimum width=\paperwidth, xshift=0cm, yshift=-4cm, align=left] {\currentpartintro}; 31 | \end{tikzpicture} 32 | \fontsize{48}{60}\headingfontfamily\color{fg}\MakeUppercase} 33 | 34 | \let\originalpart\part 35 | 36 | \renewcommand{\part}[1]{% to reference the title in the left bar in the margin 37 | \setparttitle{\uppercase{#1}} 38 | \backgroundtitlevisiblefalse 39 | \originalpart{#1} 40 | \backgroundtitlevisibletrue} 41 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/forta/background.tex: -------------------------------------------------------------------------------- 1 | %---------------------------------------------------------------------------------------- 2 | % CONFIGURE LEFT BAR 3 | %---------------------------------------------------------------------------------------- 4 | 5 | \backgroundsetup{ 6 | scale=1, 7 | color=bgacc, 8 | opacity=1, 9 | angle=0, 10 | position=current page.south west, 11 | vshift=0mm, 12 | hshift=16mm, % Adjust the distance from the left edge of the page 13 | contents={% 14 | \tikz{ 15 | % \fill[bgacc] (0,0) rectangle (6mm,16mm); % bottom bar, 6mm wide, 16mm tall 16 | \ifbackgroundbarvisible 17 | \fill[bgacc] (0,\paperheight) rectangle (8mm,-\paperheight); % bar width 6mm 18 | \fi 19 | \ifbackgroundtitlevisible 20 | \node[rotate=90, fgacc, font=\huge\bfseries\headingfontfamily, anchor=west] at (4mm, 32mm) {\currentparttitle}; 21 | \drawfortalogo{4mm}{16mm}{3mm}{28}{8}{18}{ultra thick, draw=black}; 22 | \fi 23 | } 24 | } 25 | } 26 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/forta/fonts.tex: -------------------------------------------------------------------------------- 1 | \newfontfamily\neuehaasfontfamily[ 2 | Path=template/forta/fonts/, 3 | Ligatures=TeX, 4 | Scale=MatchUppercase, 5 | Style=Alternate, 6 | UprightFont = *Regular.ttf, 7 | BoldFont = *Bold.ttf, 8 | % ItalicFont = *Italic.ttf, 9 | % BoldItalicFont = *BoldItalic.ttf 10 | ]{NeueHaasText} 11 | 12 | \let\headingfontfamily\neuehaasfontfamily % alias the ff for headings with Neue Haas 13 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/forta/fonts/NeueHaasDisplayBlack.ttf: 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-------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/forta/headers.tex: -------------------------------------------------------------------------------- 1 | %---------------------------------------------------------------------------------------- 2 | % PAGE HEADERS 3 | %---------------------------------------------------------------------------------------- 4 | 5 | % Add TikZ logo 6 | % \fancyhead[R]{% 7 | % \begin{tikzpicture}% 8 | % \drawfortalogo{0}{0}{0.4cm}{28}{8}{36}{very thick, draw=white};% 9 | % \end{tikzpicture}% 10 | % } 11 | 12 | % Add href in the footer 13 | % \fancyfoot[C]{% 14 | % \href{https://forta.org/}{Forta}% 15 | % \hspace*{4mm}% 16 | % \raisebox{1.5mm}{% 17 | % \begin{tikzpicture}[baseline=(current bounding box.center)] 18 | % \drawfortalogo{0}{0}{3mm}{28}{8}{36}{very thick, draw=white}; 19 | % \end{tikzpicture}% 20 | % } 21 | % } 22 | 23 | \fancypagestyle{plain}{% 24 | % Clear all headers and footers 25 | \fancyhf{} 26 | 27 | % Remove horizontal line in the header 28 | \renewcommand{\headrulewidth}{0pt} 29 | 30 | % Logo centered at the bottom 31 | \fancyfoot[C]{\href{\URL}{\includegraphics[height=4mm]{logo.png}}} 32 | 33 | % page number on the right 34 | \fancyfoot[R]{\thepage} 35 | } 36 | 37 | \fancypagestyle{fancy}{% 38 | % Clear all headers and footers 39 | \fancyhf{} 40 | 41 | % Remove horizontal line in the header 42 | \renewcommand{\headrulewidth}{0pt} 43 | 44 | % Logo centered at the bottom 45 | \fancyfoot[C]{\href{\URL}{\includegraphics[height=4mm]{logo.png}}} 46 | 47 | % page number on the right 48 | \fancyfoot[R]{\thepage} 49 | } -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/boxes.tex: -------------------------------------------------------------------------------- 1 | \usepackage[most]{tcolorbox} 2 | 3 | %---------------------------------------------------------------------------------------- 4 | % HIGHLIGHT ENVIRONMENT 5 | %---------------------------------------------------------------------------------------- 6 | 7 | \newtcolorbox{highlight}{ 8 | colback=bg, 9 | colframe=accent, 10 | coltext=fg, 11 | boxrule=2pt, 12 | boxsep=4pt, 13 | arc=0pt, 14 | outer arc=0pt 15 | } 16 | 17 | %---------------------------------------------------------------------------------------- 18 | % REMARK ENVIRONMENT 19 | %---------------------------------------------------------------------------------------- 20 | 21 | \newtcolorbox{remark}{ 22 | colback=bg, 23 | colframe=accent, 24 | coltext=fg, 25 | boxrule=0pt, 26 | leftrule=2pt, 27 | boxsep=4pt, 28 | arc=0pt, 29 | outer arc=0pt, 30 | } 31 | 32 | %---------------------------------------------------------------------------------------- 33 | % OUTLINE ENVIRONMENT 34 | %---------------------------------------------------------------------------------------- 35 | 36 | \newtcolorbox{outline}[1][4pt]{ 37 | enhanced, 38 | colback=bg, 39 | colframe=bg, % To essentially hide the frame, but we will draw the corners manually 40 | coltext=fg, 41 | boxrule=0pt, 42 | boxsep=#1, 43 | arc=0pt, 44 | outer arc=0pt, 45 | overlay={ 46 | % Top left corner 47 | \draw[accent,line width=2pt] 48 | (frame.north west) -- ++(0,-0.25*\tcbtextheight) 49 | (frame.north west) -- ++(0.25*\tcbtextwidth,0); 50 | % Bottom right corner 51 | \draw[accent,line width=2pt] 52 | (frame.south east) -- ++(0,0.25*\tcbtextheight) 53 | (frame.south east) -- ++(-0.25*\tcbtextwidth,0); 54 | } 55 | } 56 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/captions.tex: -------------------------------------------------------------------------------- 1 | \usepackage{caption} 2 | 3 | %---------------------------------------------------------------------------------------- 4 | % COMMON 5 | %---------------------------------------------------------------------------------------- 6 | 7 | \DeclareCaptionFont{fg}{\color{fg}} 8 | \DeclareCaptionFont{accent}{\color{accent}} 9 | 10 | %---------------------------------------------------------------------------------------- 11 | % CODE: LSTLISTING 12 | %---------------------------------------------------------------------------------------- 13 | 14 | \DeclareCaptionFormat{listing}{\colorbox{border}{\parbox{\dimexpr\linewidth-2\fboxsep\relax}{#1#2#3}}} 15 | \captionsetup[lstlisting]{ 16 | format=listing, 17 | labelfont=accent, 18 | textfont=fg, 19 | labelformat=empty, 20 | listformat=empty, 21 | singlelinecheck=false, 22 | margin=0pt, 23 | font={bf,footnotesize} 24 | } 25 | 26 | %---------------------------------------------------------------------------------------- 27 | % TABLES 28 | %---------------------------------------------------------------------------------------- 29 | 30 | \captionsetup[table]{ 31 | labelformat=empty, 32 | listformat=empty, 33 | } 34 | 35 | %---------------------------------------------------------------------------------------- 36 | % FIGURES 37 | %---------------------------------------------------------------------------------------- 38 | 39 | \captionsetup[figure]{ 40 | labelformat=empty, 41 | listformat=empty, 42 | } 43 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/fonts.tex: -------------------------------------------------------------------------------- 1 | \usepackage{fontspec} % import new fonts 2 | \usepackage[english]{babel} 3 | 4 | %---------------------------------------------------------------------------------------- 5 | % SPACING 6 | %---------------------------------------------------------------------------------------- 7 | 8 | \usepackage{microtype} 9 | 10 | %---------------------------------------------------------------------------------------- 11 | % ADD BOLD + ITALIC 12 | %---------------------------------------------------------------------------------------- 13 | 14 | \newfontfamily\inconsolatafontfamily[ 15 | Path=template/generic/fonts/inconsolata/, 16 | Ligatures=TeX, 17 | Scale=MatchUppercase, 18 | UprightFont = *.otf, 19 | BoldFont = *-Bold.otf, 20 | ItalicFont = *-Italic.otf, 21 | BoldItalicFont = *-BoldItalic.otf 22 | ]{Inconsolata-LGC} 23 | 24 | %---------------------------------------------------------------------------------------- 25 | % FAMILY DEFAULTS 26 | %---------------------------------------------------------------------------------------- 27 | 28 | % \setmonofont{\inconsolatafontfamily} 29 | % \renewcommand*{\familydefault}{\ttdefault} 30 | 31 | %---------------------------------------------------------------------------------------- 32 | % HEADINGS 33 | %---------------------------------------------------------------------------------------- 34 | 35 | \let\headingfontfamily\inconsolatafontfamily 36 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/fonts/inconsolata/Inconsolata-LGC-Bold.otf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Book/LatHex Forta/template/generic/fonts/inconsolata/Inconsolata-LGC-Bold.otf -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/fonts/inconsolata/Inconsolata-LGC-BoldItalic.otf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Book/LatHex Forta/template/generic/fonts/inconsolata/Inconsolata-LGC-BoldItalic.otf -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/fonts/inconsolata/Inconsolata-LGC-Italic.otf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Book/LatHex Forta/template/generic/fonts/inconsolata/Inconsolata-LGC-Italic.otf -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/fonts/inconsolata/Inconsolata-LGC.otf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Book/LatHex Forta/template/generic/fonts/inconsolata/Inconsolata-LGC.otf -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/fonts/inconsolata/README: -------------------------------------------------------------------------------- 1 | Inconsolata LGC 2 | --------------- 3 | 4 | Inconsolata is one of the most suitable font for programmers created by Raph 5 | Levien. Since the original Inconsolata does not contain Cyrillic alphabet, 6 | it was slightly inconvenient for not a few programmers from Russia. 7 | 8 | Inconsolata LGC is a modified version of Inconsolata with added the Cyrillic 9 | alphabet which directly descends from Inconsolata Hellenic supporting modern 10 | Greek. 11 | 12 | Inconsolata LGC is licensed under SIL OFL. 13 | 14 | 15 | Inconsolata LGC changes: 16 | * Cyrillic glyphs added. 17 | * Italic and Bold font added. 18 | 19 | Changes inherited from Inconsolata Hellenic: 20 | * Greek glyphs. 21 | 22 | Changes inherited from Inconsolata-dz: 23 | * Straight quotation marks. 24 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/geometry.tex: -------------------------------------------------------------------------------- 1 | \usepackage{calc} % coordinate calculations 2 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/headers.tex: -------------------------------------------------------------------------------- 1 | \usepackage{fancyhdr} % Required for header and footer configuration 2 | 3 | %---------------------------------------------------------------------------------------- 4 | % PAGE HEADERS 5 | %---------------------------------------------------------------------------------------- 6 | 7 | \fancypagestyle{plain}{% 8 | % Clear all headers and footers 9 | \fancyhf{} 10 | 11 | % Remove horizontal line in the header 12 | \renewcommand{\headrulewidth}{0pt} 13 | 14 | % Page number centered at the bottom 15 | \fancyfoot[C]{\thepage} 16 | } 17 | 18 | \fancypagestyle{fancy}{% 19 | % Clear all headers and footers 20 | \fancyhf{} 21 | 22 | % Remove horizontal line in the header 23 | \renewcommand{\headrulewidth}{0pt} 24 | 25 | % Page number centered at the bottom 26 | \fancyfoot[C]{\thepage} 27 | } 28 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/images.tex: -------------------------------------------------------------------------------- 1 | \usepackage{graphicx} % Required for including pictures 2 | \graphicspath{{images/}} % Specifies the directory where pictures are stored 3 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/links.tex: -------------------------------------------------------------------------------- 1 | \usepackage{hyperref} 2 | \usepackage{bookmark} 3 | \usepackage[all]{hypcap} % moves the ref jumping points to the top of images (instead of the caption) 4 | 5 | %---------------------------------------------------------------------------------------- 6 | % HYPERLINKS IN THE DOCUMENTS 7 | %---------------------------------------------------------------------------------------- 8 | \hypersetup{ 9 | hidelinks, 10 | backref=true, 11 | pagebackref=true, 12 | hyperindex=true, 13 | colorlinks=true, 14 | breaklinks=true, 15 | urlcolor=accent, 16 | bookmarks=true, 17 | bookmarksopen=false, 18 | pdftitle={\TITLE}, 19 | pdfauthor={\AUTHOR}, 20 | pdfsubject={\SUBJECT}} 21 | 22 | \bookmarksetup{ 23 | open, 24 | numbered, 25 | addtohook={% 26 | \ifnum\bookmarkget{level}=0 % chapter 27 | \bookmarksetup{bold}% 28 | \fi 29 | \ifnum\bookmarkget{level}=-1 % part 30 | \bookmarksetup{color=accent,bold}% 31 | \fi 32 | } 33 | } 34 | 35 | %---------------------------------------------------------------------------------------- 36 | % BOLD HREF 37 | %---------------------------------------------------------------------------------------- 38 | 39 | \let\oldhref\href 40 | \renewcommand{\href}[2]{\oldhref{#1}{\headingfontfamily\textbf{#2}}} 41 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/lists.tex: -------------------------------------------------------------------------------- 1 | \usepackage{enumitem} % Customize lists 2 | 3 | %---------------------------------------------------------------------------------------- 4 | % BULLET POINTS 5 | %---------------------------------------------------------------------------------------- 6 | 7 | \setlist{nolistsep} % Reduce spacing between bullet points and numbered lists 8 | \setlist[itemize]{leftmargin=4mm} 9 | \setlist[enumerate]{leftmargin=4mm} 10 | 11 | %---------------------------------------------------------------------------------------- 12 | % DESCRIPTIONS 13 | %---------------------------------------------------------------------------------------- 14 | 15 | % \newlength{\desclabelwidth} 16 | % \setlength{\desclabelwidth}{4cm} % default value 17 | 18 | % \renewenvironment{description}[1][4cm] 19 | % {\setlength{\desclabelwidth}{#1} 20 | % \begin{list}{}{ 21 | % \renewcommand*{\makelabel}[1]{\bfseries##1\hspace{\desclabelwidth}} 22 | % \setlength{\itemsep}{0pt} 23 | % \setlength{\parsep}{0pt} 24 | % \setlength{\labelsep}{0pt} 25 | % \setlength{\leftmargin}{0pt} 26 | % \setlength{\itemindent}{\desclabelwidth}}} 27 | % {\end{list}} 28 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/math.tex: -------------------------------------------------------------------------------- 1 | \usepackage{amsmath,amsfonts,amssymb,amsthm} % For math equations, theorems, symbols, etc 2 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/page.tex: -------------------------------------------------------------------------------- 1 | %---------------------------------------------------------------------------------------- 2 | % PARAGRAPH FORMATING 3 | %---------------------------------------------------------------------------------------- 4 | 5 | \setlength{\parindent}{0pt} 6 | \setlength{\parskip}{12pt} 7 | 8 | %---------------------------------------------------------------------------------------- 9 | % FLOAT LAYOUT 10 | %---------------------------------------------------------------------------------------- 11 | 12 | \renewcommand{\topfraction}{0.9} % max fraction of floats at top 13 | \renewcommand{\bottomfraction}{0.8} % max fraction of floats at bottom 14 | 15 | % Parameters for TEXT pages (not float pages): 16 | \setcounter{topnumber}{2} 17 | \setcounter{bottomnumber}{2} 18 | \setcounter{totalnumber}{8} % 2 may work better 19 | \setcounter{dbltopnumber}{2} % for 2-column pages 20 | \renewcommand{\dbltopfraction}{0.9} % fit big float above 2-col. text 21 | \renewcommand{\textfraction}{0.07} % allow minimal text w. figs 22 | 23 | % Parameters for FLOAT pages (not text pages): 24 | \renewcommand{\floatpagefraction}{0.7} % require fuller float pages 25 | \renewcommand{\dblfloatpagefraction}{0.7} % require fuller float pages 26 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/syntax.tex: -------------------------------------------------------------------------------- 1 | \usepackage{listings} 2 | 3 | \input{template/generic/syntax/solidity} 4 | -------------------------------------------------------------------------------- /Templates/Book/LatHex Forta/template/generic/tables.tex: -------------------------------------------------------------------------------- 1 | \usepackage{booktabs} % Required for nicer horizontal rules in tables 2 | 3 | %---------------------------------------------------------------------------------------- 4 | % LINES 5 | %---------------------------------------------------------------------------------------- 6 | 7 | \arrayrulecolor{border} 8 | \setlength{\arrayrulewidth}{2pt} 9 | 10 | %---------------------------------------------------------------------------------------- 11 | % LAYOUT 12 | %---------------------------------------------------------------------------------------- 13 | 14 | % Define a new column type 15 | \newcolumntype{C}{>{\color{fg}\large\centering\arraybackslash\hspace{16pt}}c<{\hspace{16pt}}} 16 | \newcolumntype{L}{>{\color{fg}\large\raggedright\arraybackslash\hspace{16pt}}l<{\hspace{16pt}}} 17 | \newcolumntype{R}{>{\color{fg}\large\raggedleft\arraybackslash\hspace{16pt}}r<{\hspace{16pt}}} 18 | 19 | % Adjust the vertical padding 20 | \renewcommand{\arraystretch}{1.5} 21 | 22 | %---------------------------------------------------------------------------------------- 23 | % HEADERS 24 | %---------------------------------------------------------------------------------------- 25 | 26 | \newcommand{\thead}[1]{\large\uppercase{#1}} 27 | -------------------------------------------------------------------------------- /Templates/Book/lix_novel_template/main.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Book/lix_novel_template/main.pdf -------------------------------------------------------------------------------- /Templates/Book/lix_novel_template/main.tex: -------------------------------------------------------------------------------- 1 | % Auth: Nicklas Vraa 2 | % Docs: https://github.com/NicklasVraa/LiX 3 | % Everything you need to know about this template is found in on the github repository above. Stars are very appreciated. 4 | 5 | \documentclass{novel} 6 | 7 | \lang {english} 8 | \title {Essential Coding Theory} 9 | \subtitle {} 10 | \authors {Venkatesan Guruswami, Atri Rudra, Madhu Sudan} 11 | \cover {resources/novel_front.pdf}{resources/novel_back.pdf} 12 | \license {CC}{by-nc-sa}{3.0} 13 | %\isbn {978-0201529838} 14 | \publisher {NV Publishing Company} 15 | \edition {1}{2023} 16 | \dedicate {Myself}{Because I'm cool} 17 | \thank {Thank you to me for being the best} 18 | \keywords {fiction, template, packages} 19 | 20 | \note{Lorem ipsum dolor sit amet, consectetur adipiscing elit. Praesent porttitor est arcu, sed euismod metus imperdiet iaculis. Quisque vestibulum molestie nulla, non consectetur tellus mollis a. Nunc commodo magna a elit commodo dignissim.} 21 | 22 | \blurb{Department of Computer Science and Engineering, University at Buffalo, SUNY. Work supported by NSF CAREER grant CCF-0844796.} 23 | 24 | \begin{document} 25 | 26 | \end{document} 27 | -------------------------------------------------------------------------------- /Templates/Book/lix_novel_template/resources/novel_back.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Book/lix_novel_template/resources/novel_back.pdf -------------------------------------------------------------------------------- /Templates/Book/lix_novel_template/resources/novel_front.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/Book/lix_novel_template/resources/novel_front.pdf -------------------------------------------------------------------------------- /Templates/CV/AlgoUniversity Student Resume Template/main.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/CV/AlgoUniversity Student Resume Template/main.pdf -------------------------------------------------------------------------------- /Templates/CV/IIIT Kurnool Resume/logo.jpeg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/CV/IIIT Kurnool Resume/logo.jpeg -------------------------------------------------------------------------------- /Templates/CV/IIIT Kurnool Resume/main.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/CV/IIIT Kurnool Resume/main.pdf -------------------------------------------------------------------------------- /Templates/CV/MTeck's Resume/main.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/CV/MTeck's Resume/main.pdf -------------------------------------------------------------------------------- /Templates/CV/NIT Raipur MME OnCampus/main.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/CV/NIT Raipur MME OnCampus/main.pdf -------------------------------------------------------------------------------- /Templates/CV/Naman_CV/README.md: -------------------------------------------------------------------------------- 1 | # autoCV 2 | 3 | A clean CV template in LaTeX along with a GitHub action that complies the `*.tex` file and publishes a new PDF version when new changes are pushed to the repo 4 | 5 | ## Template Design 6 | 7 | The template is designed to be clean with sections for 8 | - Tabular sections for Work Experience, Education and Projects 9 | - Support for including a list of publications read from a `*.bib` file 10 | - Header with Font Awesome icons 11 | 12 | ## Quickstart 13 | - Fork this repo (you can use the `Use this template` button) 14 | - Modify the `cv.tex` file and push changes to your repo 15 | - The complied PDF will be available under the `build` branch 16 | 17 | Optionally, while forking this repo, you can get a direct link to the generated PDF which you can use on your website, LinkedIn etc. that will always point to the latest version of your CV. For this, after editing your copy of `cv.tex` and pushing changes to your repo, under Settings -> Pages set your Github Pages source to the `build` directory 18 | 19 | ![](https://i.imgur.com/lwATw1o.png) 20 | 21 | Now, once your site is published, your CV will be accessible at: https://username.github.io/autoCV/cv.pdf 22 | 23 | ## Detailed Instructions.. 24 | 25 | [.. are available here](https://github.com/jitinnair1/autoCV/wiki/How-to-use-autoCV:-Detailed-Instructions) 26 | 27 | ## Issues 28 | Please start a new discussion or issue if you encounter problems 29 | -------------------------------------------------------------------------------- /Templates/CV/Naman_CV/citations.bib: -------------------------------------------------------------------------------- 1 | @article{dummypaper, 2 | title = {Paper: This is the name of the paper }, 3 | volume = {99}, 4 | url = {https://some-link.com}, 5 | abstract = {}, 6 | number = {18}, 7 | journal = {Some Journal}, 8 | author = {Last Name, First Name and Other Last Name, First Name}, 9 | month = sep, 10 | year = {2019}, 11 | keywords = {some keyword, another keyword}, 12 | pages = {2200--2300}, 13 | } 14 | 15 | @article{dummypaper2, 16 | title = {Paper II: This is another paper }, 17 | volume = {99}, 18 | url = {https://some-other-link.com}, 19 | abstract = {}, 20 | number = {18}, 21 | journal = {Some Journal}, 22 | author = {Last Name, First Name and Again Last Name, First Name}, 23 | month = sep, 24 | year = {2022}, 25 | keywords = {some keyword, another keyword}, 26 | pages = {2200--2300}, 27 | } -------------------------------------------------------------------------------- /Templates/CV/Naman_CV/cv.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/Templates/CV/Naman_CV/cv.pdf -------------------------------------------------------------------------------- /courses_scribes/arithmetic_circuits_-_nitin_saxena/lecture_notes.bbl: -------------------------------------------------------------------------------- 1 | \begin{thebibliography}{Rys63} 2 | 3 | \bibitem[Bü00]{burgissercompred} 4 | Peter Bürgisser. 5 | \newblock Completeness and reduction in algebraic complexity theory. 6 | \newblock 7, 01 2000. 7 | 8 | \bibitem[Rys63]{ryser1963combinatorial} 9 | Herbert~John Ryser. 10 | \newblock {\em Combinatorial mathematics}, volume~14 of {\em The Carus 11 | Mathematical Monographs}. 12 | \newblock American Mathematical Soceity, 1963. 13 | 14 | \end{thebibliography} 15 | -------------------------------------------------------------------------------- /courses_scribes/arithmetic_circuits_-_nitin_saxena/lecture_notes.blg: -------------------------------------------------------------------------------- 1 | This is BibTeX, Version 0.99d (TeX Live 2022/Arch Linux) 2 | Capacity: max_strings=200000, hash_size=200000, hash_prime=170003 3 | The top-level auxiliary file: lecture_notes.aux 4 | A level-1 auxiliary file: p1-intro.aux 5 | A level-1 auxiliary file: p2-detabp.aux 6 | The style file: alpha.bst 7 | Database file #1: refs.bib 8 | Warning--empty journal in burgissercompred 9 | You've used 2 entries, 10 | 2543 wiz_defined-function locations, 11 | 573 strings with 4705 characters, 12 | and the built_in function-call counts, 580 in all, are: 13 | = -- 50 14 | > -- 16 15 | < -- 3 16 | + -- 4 17 | - -- 4 18 | * -- 38 19 | := -- 104 20 | add.period$ -- 6 21 | call.type$ -- 2 22 | change.case$ -- 9 23 | chr.to.int$ -- 2 24 | cite$ -- 3 25 | duplicate$ -- 31 26 | empty$ -- 47 27 | format.name$ -- 8 28 | if$ -- 112 29 | int.to.chr$ -- 1 30 | int.to.str$ -- 0 31 | missing$ -- 3 32 | newline$ -- 13 33 | num.names$ -- 6 34 | pop$ -- 13 35 | preamble$ -- 1 36 | purify$ -- 12 37 | quote$ -- 0 38 | skip$ -- 23 39 | stack$ -- 0 40 | substring$ -- 14 41 | swap$ -- 3 42 | text.length$ -- 3 43 | text.prefix$ -- 2 44 | top$ -- 0 45 | type$ -- 12 46 | warning$ -- 1 47 | while$ -- 4 48 | width$ -- 3 49 | write$ -- 27 50 | (There was 1 warning) 51 | -------------------------------------------------------------------------------- /courses_scribes/arithmetic_circuits_-_nitin_saxena/lecture_notes.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/courses_scribes/arithmetic_circuits_-_nitin_saxena/lecture_notes.pdf -------------------------------------------------------------------------------- /courses_scribes/arithmetic_circuits_-_nitin_saxena/lecture_notes.tex: -------------------------------------------------------------------------------- 1 | \documentclass{report} 2 | 3 | \input{preamble} 4 | \input{macros} 5 | \input{letterfonts} 6 | 7 | \title{\Huge{Arithmetic Circuit Complexity: NPTEL Course}\\ \hspace{4cm}-- Nitin Saxena} 8 | \author{\huge{Soham Chatterjee}} 9 | \date{} 10 | 11 | 12 | 13 | 14 | \begin{document} 15 | 16 | \maketitle 17 | \newpage% or \cleardoublepage 18 | % \pdfbookmark[<level>]{<title>}{<dest>} 19 | \pdfbookmark[section]{\contentsname}{toc} 20 | \tableofcontents 21 | \pagebreak 22 | 23 | \include{p1-intro} 24 | \include{p2-detabp} 25 | 26 | 27 | \bibliographystyle{alpha} 28 | \bibliography{refs} 29 | \end{document} 30 | -------------------------------------------------------------------------------- /courses_scribes/arithmetic_circuits_-_nitin_saxena/macros.tex: -------------------------------------------------------------------------------- 1 | \newcommand{\eps}{\epsilon} 2 | \newcommand{\veps}{\varepsilon} 3 | \newcommand{\Qed}{\begin{flushright}\qed\end{flushright}} 4 | \newcommand{\parinn}{\setlength{\parindent}{1cm}} 5 | \newcommand{\parinf}{\setlength{\parindent}{0cm}} 6 | \newcommand{\norm}{\|\cdot\|} 7 | \newcommand{\inorm}{\norm_{\infty}} 8 | \newcommand{\opensets}{\{V_{\alpha}\}_{\alpha\in I}} 9 | \newcommand{\oset}{V_{\alpha}} 10 | \newcommand{\opset}[1]{V_{\alpha_{#1}}} 11 | \newcommand{\lub}{\text{lub}} 12 | \newcommand{\del}[2]{\frac{\partial #1}{\partial #2}} 13 | \newcommand{\Del}[3]{\frac{\partial^{#1} #2}{\partial^{#1} #3}} 14 | \newcommand{\deld}[2]{\dfrac{\partial #1}{\partial #2}} 15 | \newcommand{\Deld}[3]{\dfrac{\partial^{#1} #2}{\partial^{#1} #3}} 16 | \newcommand{\lm}{\lambda} 17 | \newcommand{\uin}{\mathbin{\rotatebox[origin=c]{90}{$\in$}}} 18 | \newcommand{\ueq}{\mathbin{\rotatebox[origin=c]{90}{$=$}}} 19 | \newcommand{\usubset}{\mathbin{\rotatebox[origin=c]{90}{$\subset$}}} 20 | \newcommand{\lt}{\left} 21 | \newcommand{\rt}{\right} 22 | \newcommand{\bs}[1]{\boldsymbol{#1}} 23 | \newcommand{\exs}{\exists} 24 | \newcommand{\st}{\strut} 25 | \newcommand{\dps}[1]{\displaystyle{#1}} 26 | 27 | \newcommand{\sol}{\setlength{\parindent}{0cm}\textbf{\textit{Solution:}}\setlength{\parindent}{1cm} } 28 | \newcommand{\solve}[1]{\setlength{\parindent}{0cm}\textbf{\textit{Solution: }}\setlength{\parindent}{1cm}#1 \Qed} 29 | \DeclareRobustCommand{\rchi}{{\mathpalette\irchi\relax}} 30 | \newcommand{\irchi}[2]{\raisebox{\depth}{$#1\chi$}} 31 | 32 | \newcommand{\starx}{\textasteriskcentered} 33 | \newcommand{\dnt}{\coloneqq} 34 | \newcommand{\coef}{\bbF[\overline{x}]} 35 | \newcommand{\per}{\text{per}} -------------------------------------------------------------------------------- /courses_scribes/arithmetic_circuits_-_nitin_saxena/p2-detabp.tex: -------------------------------------------------------------------------------- 1 | \chapter{Determinant-ABP} -------------------------------------------------------------------------------- /courses_scribes/arithmetic_circuits_-_nitin_saxena/refs.bib: -------------------------------------------------------------------------------- 1 | @book{ryser1963combinatorial, 2 | title={Combinatorial mathematics}, 3 | author={Ryser, Herbert John}, 4 | volume={14}, 5 | series={The Carus Mathematical Monographs}, 6 | year={1963}, 7 | publisher={American Mathematical Soceity} 8 | } 9 | @article{burgissercompred, 10 | author = {Bürgisser, Peter}, 11 | year = {2000}, 12 | month = {01}, 13 | pages = {}, 14 | title = {Completeness and Reduction in Algebraic Complexity Theory}, 15 | volume = {7}, 16 | isbn = {978-3-642-08604-5}, 17 | doi = {10.1007/978-3-662-04179-6} 18 | } -------------------------------------------------------------------------------- /courses_scribes/arithmetic_circuits_-_nitin_saxena/temp.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/courses_scribes/arithmetic_circuits_-_nitin_saxena/temp.pdf -------------------------------------------------------------------------------- /courses_scribes/arithmetic_circuits_-_nitin_saxena/temp.tex: -------------------------------------------------------------------------------- 1 | \documentclass{report} 2 | 3 | \input{preamble} 4 | \input{macros} 5 | \input{letterfonts} 6 | 7 | \title{\Huge{Arithmetic Circuit Complexity: NPTEL Course}\\ \hspace{4cm}-- Nitin Saxena} 8 | \author{\huge{Soham Chatterjee}} 9 | \date{} 10 | 11 | 12 | 13 | 14 | \begin{document} 15 | 16 | \maketitle 17 | 18 | \pagebreak 19 | 20 | \include{p2-detabp} 21 | \bibliographystyle{alpha} 22 | \bibliography{refs} 23 | 24 | \end{document} 25 | -------------------------------------------------------------------------------- /courses_scribes/complexity_prahlad-ramprasad/complexity_theory-prahlad-ramprasad.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sohamch08/LaTeX/76ac4b19b4308acd5fc33e73acd8df5869b1f6e5/courses_scribes/complexity_prahlad-ramprasad/complexity_theory-prahlad-ramprasad.pdf -------------------------------------------------------------------------------- /courses_scribes/complexity_prahlad-ramprasad/complexity_theory-prahlad-ramprasad.tex: -------------------------------------------------------------------------------- 1 | \documentclass{report} 2 | 3 | \input{preamble-formal} 4 | \input{macros} 5 | \input{letterfonts} 6 | 7 | 8 | \begin{document} 9 | 10 | \ 11 | \thispagestyle{empty} 12 | \vfill 13 | \begin{center} 14 | \huge{Computational Complexity Theory\footnote{\url{https://www.tifr.res.in/~prahladh/teaching/2020-21/complexity/}}, 2020-21, TIFR}\vspace*{5mm} 15 | 16 | \LARGE{Course Instructor: Prahladh Harsha\footnote{\url{https://www.tifr.res.in/~prahladh/}} and Ramprasad Saptharishi\footnote{\url{https://www.tifr.res.in/~ramprasad.saptharishi/}}}\vspace*{5mm} 17 | 18 | \LARGE{Scribe: Soham Chatterjee\footnote{\url{https://www.cmi.ac.in/people/student-profile.php?id=sohamc}}} 19 | \end{center} 20 | \vfill 21 | \ 22 | \pagebreak 23 | 24 | sdghdsk 25 | \end{document} -------------------------------------------------------------------------------- /courses_scribes/complexity_prahlad-ramprasad/macros.tex: -------------------------------------------------------------------------------- 1 | \newcommand{\Qed}{\begin{flushright}\qed\end{flushright}} 2 | \newcommand{\parinn}{\setlength{\parindent}{1cm}} 3 | \newcommand{\parinf}{\setlength{\parindent}{0cm}} 4 | \newcommand{\norm}[1]{\left\lVert {#1} \right\rVert} 5 | \newcommand{\inorm}{\norm_{\infty}} 6 | \newcommand{\opensets}{\{V_{\alpha}\}_{\alpha\in I}} 7 | \newcommand{\oset}{V_{\alpha}} 8 | \newcommand{\opset}[1]{V_{\alpha_{#1}}} 9 | \newcommand{\lub}{\text{lub}} 10 | \newcommand{\del}[2]{\frac{\partial #1}{\partial #2}} 11 | \newcommand{\Del}[3]{\frac{\partial^{#1} #2}{\partial^{#1} #3}} 12 | \newcommand{\deld}[2]{\dfrac{\partial #1}{\partial #2}} 13 | \newcommand{\Deld}[3]{\dfrac{\partial^{#1} #2}{\partial^{#1} #3}} 14 | \newcommand{\uin}{\mathbin{\rotatebox[origin=c]{90}{$\in$}}} 15 | \newcommand{\usubset}{\mathbin{\rotatebox[origin=c]{90}{$\subset$}}} 16 | \newcommand{\lt}{\left} 17 | \newcommand{\rt}{\right} 18 | \newcommand{\bds}[1]{\boldsymbol{#1}} 19 | \newcommand{\exs}{\exists} 20 | \newcommand{\st}{\strut} 21 | \newcommand{\dps}[1]{\displaystyle{#1}} 22 | 23 | \newenvironment{solution} 24 | {\textit{\textbf{Solution:}} 25 | } 26 | { 27 | \hfill $\blacksquare$ 28 | 29 | \vspace{1cm} 30 | } 31 | \newcommand{\sol}[1]{\begin{solution}#1\end{solution}} 32 | \newcommand{\solve}[1]{\setlength{\parindent}{0cm}\textbf{\textit{Solution: }}\setlength{\parindent}{1cm}#1 \Qed} 33 | \newcommand{\mat}[1]{\left[\begin{matrix}#1\end{matrix}\right]} 34 | \newcommand\numberthis{\addtocounter{equation}{1}\tag{\theequation}} 35 | \newcommand{\handout}[3]{ 36 | \noindent 37 | \begin{center} 38 | \framebox{ 39 | \vbox{ 40 | \hbox to 6.5in { {\bf Complexity Theory I } \hfill Jan -- May, 2023 } 41 | \vspace{4mm} 42 | \hbox to 6.5in { {\Large \hfill #1 \hfill} } 43 | \vspace{2mm} 44 | \hbox to 6.5in { {\em #2 \hfill #3} } 45 | } 46 | } 47 | \end{center} 48 | \vspace*{4mm} 49 | } 50 | 51 | \newcommand{\lecture}[3]{\handout{Lecture #1}{Lecturer: #2}{Scribe: #3}} 52 | 53 | 54 | -------------------------------------------------------------------------------- /courses_scribes/complexity_prahlad-ramprasad/refs.bib: -------------------------------------------------------------------------------- 1 | @book{ryser1963combinatorial, 2 | title={Combinatorial mathematics}, 3 | author={Ryser, Herbert John}, 4 | volume={14}, 5 | series={The Carus Mathematical Monographs}, 6 | year={1963}, 7 | publisher={American Mathematical Soceity} 8 | } 9 | @article{burgissercompred, 10 | author = {Bürgisser, Peter}, 11 | year = {2000}, 12 | month = {01}, 13 | pages = {}, 14 | title = {Completeness and Reduction in Algebraic Complexity Theory}, 15 | volume = {7}, 16 | isbn = {978-3-642-08604-5}, 17 | doi = {10.1007/978-3-662-04179-6} 18 | } --------------------------------------------------------------------------------