├── .github └── workflows │ └── build.yml ├── .gitignore ├── Course ├── lecture_1.pdf ├── lecture_2.pdf ├── lecture_3.pdf ├── lecture_4.pdf └── lecture_5.pdf ├── Exams ├── 1_Semester │ ├── Algorithms │ │ └── 2020_Stepanov │ │ │ ├── code │ │ │ ├── 10_polish.cpp │ │ │ ├── 17-21_19cs2.cpp │ │ │ ├── 17-21_20digitsort.cpp │ │ │ ├── 17-21_detstablesort.cpp │ │ │ ├── 2-5_binfind.cpp │ │ │ ├── 2-5_stack_5.cpp │ │ │ ├── 2-5_stack_node.cpp │ │ │ ├── 35-39_consolidate.cpp │ │ │ ├── 35-39_decrease.cpp │ │ │ ├── 67_dynamic_do.cpp │ │ │ ├── 7-8_queue_two_stacks.cpp │ │ │ ├── 70-75_code.cpp │ │ │ ├── 70-75_main.cpp │ │ │ └── 9_psp.cpp │ │ │ ├── files │ │ │ ├── 1.tex │ │ │ ├── 10.tex │ │ │ ├── 11-16.tex │ │ │ ├── 17-21.tex │ │ │ ├── 2-6.tex │ │ │ ├── 22-31.tex │ │ │ ├── 32-33.tex │ │ │ ├── 34.tex │ │ │ ├── 35-39.tex │ │ │ ├── 40-42.tex │ │ │ ├── 43-46.tex │ │ │ ├── 47-50.tex │ │ │ ├── 51-54.tex │ │ │ ├── 55-58.tex │ │ │ ├── 59.tex │ │ │ ├── 60-62.tex │ │ │ ├── 63-64.tex │ │ │ ├── 65-66.tex │ │ │ ├── 67.tex │ │ │ ├── 68-69.tex │ │ │ ├── 7-8.tex │ │ │ ├── 70-75.tex │ │ │ ├── 76-83.tex │ │ │ └── 9.tex │ │ │ ├── images │ │ │ ├── 13_pic1.jpg │ │ │ ├── 13_pic3.jpg │ │ │ ├── 2-5_stack_5_2.png │ │ │ ├── 2-5_stack_min.png │ │ │ ├── 2-5_stack_nodes.png │ │ │ ├── 22_1.png │ │ │ ├── 22_2.png │ │ │ ├── 23_1.png │ │ │ ├── 23_2.png │ │ │ ├── 25.png │ │ │ ├── 26_1.png │ │ │ ├── 26_2.png │ │ │ ├── 27_1.png │ │ │ ├── 27_2.png │ │ │ ├── 27_3.png │ │ │ ├── 29_1.png │ │ │ ├── 29_2.png │ │ │ ├── 29_3.png │ │ │ ├── 38.jpg │ │ │ ├── 40-42_5.png │ │ │ ├── 40-42_6.png │ │ │ ├── 40-42_7.png │ │ │ ├── 40-42_8.png │ │ │ ├── 40-42_binary_search_tree.svg.png │ │ │ ├── 40-42_bst_del1.png │ │ │ ├── 40-42_bst_del2.png │ │ │ ├── 40-42_bst_del3.png │ │ │ ├── 40-42_proof2srl.png │ │ │ ├── 40-42_proofslr.png │ │ │ ├── 40-42_proofsrl3.png │ │ │ ├── 40-42_rotate.jpg │ │ │ ├── 40-42_smallrotate.png │ │ │ ├── 40-42_srr.png │ │ │ ├── 43-46_avl_maxrotate.png │ │ │ ├── 43-46_avl_minrotate.png │ │ │ ├── 43-46_avl_rotate.png │ │ │ ├── 47-50_erase.png │ │ │ ├── 47-50_pиг_зиг.png │ │ │ ├── 47-50_zzp.png │ │ │ ├── 47-50_zzp@.png │ │ │ ├── 47-50_zzzend.png │ │ │ ├── 47-50_зиг.png │ │ │ ├── 47-50_зиг_заг2.png │ │ │ ├── 51-54_b brothers.jpg │ │ │ ├── 51-54_b split.jpg │ │ │ ├── 51-54_b tree.png │ │ │ ├── 51-54_b union.jpg │ │ │ ├── 59_1.jpg │ │ │ ├── 59_2.png │ │ │ ├── 60-62_2searck.png │ │ │ ├── 60-62_assimpt.png │ │ │ ├── 60-62_assimpt2.png │ │ │ ├── 60-62_fractional1.png │ │ │ ├── 60-62_seakch2.png │ │ │ ├── 60-62_stree.png │ │ │ ├── 60-62_sttask.png │ │ │ ├── 63-64_dodd.png │ │ │ ├── 63-64_fractional cascading.png │ │ │ ├── 65-66_persistent task.png │ │ │ ├── 65-66_persistent.png │ │ │ ├── 70-75_111.jpg │ │ │ ├── 70-75_1tree.png │ │ │ ├── 70-75_2dd.png │ │ │ ├── 70-75_2tree.png │ │ │ ├── 70-75_fenwick.jpg │ │ │ ├── 70-75_ff1.png │ │ │ ├── 70-75_ff2.png │ │ │ ├── 70-75_vvk.jpg │ │ │ ├── 76-83_biection.jpg │ │ │ ├── 76-83_bloom filter.jpg │ │ │ ├── 76-83_mathwait.jpg │ │ │ ├── 76-83_open key.jpg │ │ │ ├── 76-83_perfect hash.jpg │ │ │ ├── 76-83_segment_field.jpg │ │ │ └── logo_ltc.png │ │ │ ├── main.tex │ │ │ └── preamble │ │ │ ├── preamble_ltc.tex │ │ │ └── title_page.tex │ └── Combinatorics_and_Number_Theory │ │ └── 2020_Raigorodskiy │ │ ├── files │ │ ├── 11.tex │ │ ├── 14-15.tex │ │ ├── 16.tex │ │ ├── 17-18.tex │ │ ├── 19.tex │ │ ├── 20.tex │ │ ├── 23-24.tex │ │ ├── 25.tex │ │ ├── 26-27.tex │ │ ├── 28-30.tex │ │ ├── 31-32.tex │ │ ├── 40-41.tex │ │ ├── 42-47.tex │ │ ├── 54-55.tex │ │ ├── 59-62.tex │ │ ├── 66-70.tex │ │ └── 7.tex │ │ ├── images │ │ ├── 16.png │ │ ├── 19_hasse.jpg │ │ ├── 19_pos.jpg │ │ ├── 20.jpg │ │ ├── 25.png │ │ ├── 42.jpg │ │ ├── 55.jpg │ │ └── logo_ltc.png │ │ ├── main.tex │ │ └── preamble │ │ ├── preamble_ltc.tex │ │ └── title_page.tex └── 2_Semester │ ├── Algorithms │ └── 2021_Stepanov │ │ ├── code │ │ ├── 29-31_kosarayu.cpp │ │ ├── 29-31_topsort.cpp │ │ ├── 40_euler_1.cpp │ │ ├── 41_euler_2.cpp │ │ ├── 45_bfs_1.cpp │ │ ├── 46_0k_bfs.cpp │ │ ├── 48_deikstra.cpp │ │ ├── 62_kruskal.cpp │ │ ├── 72-85_dfs.cpp │ │ ├── 72-85_diniz.cpp │ │ ├── 95_isomorph1.cpp │ │ ├── 96-99_ancestor.cpp │ │ └── 96-99_lca.cpp │ │ ├── files │ │ ├── 100-102.tex │ │ ├── 18-24.tex │ │ ├── 25-28.tex │ │ ├── 29-31.tex │ │ ├── 32.tex │ │ ├── 33.tex │ │ ├── 34.tex │ │ ├── 35-36.tex │ │ ├── 37.tex │ │ ├── 38-39.tex │ │ ├── 40-43.tex │ │ ├── 44-47.tex │ │ ├── 48-49.tex │ │ ├── 50-53.tex │ │ ├── 54-57.tex │ │ ├── 58-62.tex │ │ ├── 63-71.tex │ │ ├── 72-85.tex │ │ ├── 86.tex │ │ ├── 87-92.tex │ │ ├── 93-94.tex │ │ ├── 95.tex │ │ └── 96-99.tex │ │ ├── images │ │ ├── 100-102_decomp2.jpg │ │ ├── 100-102_decomposition.jpg │ │ ├── 100-102_dist_red.jpg │ │ ├── 100-102_dist_red2.jpg │ │ ├── 100-102_heavy_light.jpg │ │ ├── 18-24_alg1.png │ │ ├── 18-24_alg2.png │ │ ├── 18-24_alg25.png │ │ ├── 18-24_alg26.png │ │ ├── 18-24_alg27.png │ │ ├── 18-24_alg3.png │ │ ├── 18-24_alg4.png │ │ ├── 18-24_alg5.png │ │ ├── 25-28_alg10.png │ │ ├── 25-28_alg11.png │ │ ├── 25-28_alg12.png │ │ ├── 25-28_alg9.png │ │ ├── 25-28_algo6.png │ │ ├── 25-28_algo7.png │ │ ├── 25-28_photo_2021-06-19_01-24-53.jpg │ │ ├── 25-28_photo_2021-06-19_01-33-12.jpg │ │ ├── 25-28_фдп8.png │ │ ├── 29-31_kosarayu.jpg │ │ ├── 29-31_kss.jpg │ │ ├── 32_alg13.png │ │ ├── 32_alg14.png │ │ ├── 33_alg16.png │ │ ├── 34_alg17.png │ │ ├── 34_alg18.png │ │ ├── 35-36_alg19.png │ │ ├── 35-36_alg21.png │ │ ├── 35-36_algo20.png │ │ ├── 37_alg22.png │ │ ├── 37_alg23.png │ │ ├── 37_alg24.png │ │ ├── 38_1.png │ │ ├── 39_1.png │ │ ├── 49.jpg │ │ ├── 63-71_1.png │ │ ├── 63-71_2.png │ │ ├── 63-71_Kuhn1.png │ │ ├── 63-71_Kuhn2.png │ │ ├── 63-71_пути2.jpg │ │ ├── 63-71_цепь.png │ │ ├── 72-85_ff_example1.jpg │ │ ├── 72-85_ff_example2.jpg │ │ ├── 72-85_ff_example3.jpg │ │ ├── 72-85_flow.jpg │ │ ├── 72-85_graph.jpg │ │ ├── 72-85_nedovolstvo.png │ │ ├── 72-85_remain_net.jpg │ │ ├── 72-85_reverse_edges.jpg │ │ ├── 86_hopcroft.jpg │ │ ├── 87-92_90_min.jpg │ │ ├── 87-92_base.jpg │ │ ├── 87-92_ineq.png │ │ ├── 87-92_min-cost.jpg │ │ ├── 87-92_min_global.jpg │ │ ├── 87-92_null_path.jpg │ │ ├── 87-92_null_path0.jpg │ │ ├── 87-92_potentials.jpg │ │ ├── 87-92_tasks.jpg │ │ ├── 93-94_centroid.jpg │ │ ├── 93-94_centroid2.jpg │ │ ├── 93-94_centroid3.jpg │ │ ├── 93-94_correct.jpg │ │ ├── 93-94_dfs_tree.jpg │ │ ├── 93-94_tree.png │ │ ├── 93-94_tree2.png │ │ ├── 95_eq.jpg │ │ ├── 95_isomorph2.jpg │ │ ├── 95_isomorphism.jpg │ │ ├── 95_lca.jpg │ │ ├── 95_lca2.jpg │ │ ├── 95_shifts.jpg │ │ ├── 96-99_decart.jpg │ │ ├── 96-99_euler.jpg │ │ ├── 96-99_lca.jpg │ │ ├── 96-99_lca2.jpg │ │ ├── 96-99_rmq.jpg │ │ ├── 96-99_rmq2.jpg │ │ ├── 96-99_shifts.jpg │ │ ├── 96-99_split.jpg │ │ └── logo_ltc.png │ │ ├── main.tex │ │ └── preamble │ │ ├── preamble_ltc.tex │ │ └── title_page.tex │ ├── Combinatorics_and_Number_Theory │ └── 2021_Raigorodskiy │ │ ├── files │ │ ├── 100-101.tex │ │ ├── 103.tex │ │ ├── 104.tex │ │ ├── 105.tex │ │ ├── 106.tex │ │ ├── 15.tex │ │ ├── 16.tex │ │ ├── 17.tex │ │ ├── 18-24.tex │ │ ├── 25-28.tex │ │ ├── 29-34.tex │ │ ├── 35.tex │ │ ├── 36.tex │ │ ├── 37-38.tex │ │ ├── 39.tex │ │ ├── 40.tex │ │ ├── 41.tex │ │ ├── 42.tex │ │ ├── 49.tex │ │ ├── 51-52.tex │ │ ├── 53.tex │ │ ├── 54.tex │ │ ├── 55.tex │ │ ├── 56.tex │ │ ├── 57-59.tex │ │ ├── 69.tex │ │ ├── 70.tex │ │ ├── 71.tex │ │ ├── 72.tex │ │ ├── 73-74.tex │ │ ├── 75.tex │ │ ├── 76.tex │ │ ├── 77.tex │ │ ├── 78-79.tex │ │ ├── 81.tex │ │ ├── 82.tex │ │ ├── 83.tex │ │ ├── 84.tex │ │ ├── 87.tex │ │ ├── 88-89.tex │ │ ├── 90.tex │ │ ├── 91-95.tex │ │ ├── 96-98.tex │ │ └── 99.tex │ │ ├── images │ │ ├── 100_1.jpg │ │ ├── 100_2.jpg │ │ ├── 17.png │ │ ├── 25.png │ │ ├── 73_1.jpg │ │ ├── 73_2.jpg │ │ ├── 73_3.jpg │ │ ├── 74.jpg │ │ ├── 99_grid.jpg │ │ └── logo_ltc.png │ │ ├── main.tex │ │ └── preamble │ │ ├── preamble_ltc.tex │ │ └── title_page.tex │ └── Mathematical_Logic_and_Algorithm_Theory │ └── 2021_Musatov │ ├── files │ ├── 1.1-1.3.tex │ ├── 1.13.tex │ ├── 1.14.tex │ ├── 1.15.tex │ ├── 1.16.tex │ ├── 1.4.tex │ ├── 1.5-1.8.tex │ ├── 1.9-1.12.tex │ ├── 1_definitions.tex │ ├── 1_propositions.tex │ ├── 2.1-2.2.tex │ ├── 2.10-2.12.tex │ ├── 2.13.tex │ ├── 2.14.tex │ ├── 2.15.tex │ ├── 2.16.tex │ ├── 2.3.tex │ ├── 2.4.tex │ ├── 2.5.tex │ ├── 2.6.tex │ ├── 2.7.tex │ ├── 2.8-2.9.tex │ ├── 2_definitions.tex │ ├── 2_propositions.tex │ ├── 3.1.tex │ ├── 3.10.tex │ ├── 3.11.tex │ ├── 3.12.tex │ ├── 3.13.tex │ ├── 3.14.tex │ ├── 3.15.tex │ ├── 3.16.tex │ ├── 3.17.tex │ ├── 3.18.tex │ ├── 3.2.tex │ ├── 3.3-3.4.tex │ ├── 3.5-3.6.tex │ ├── 3.7.tex │ ├── 3.8-3.9.tex │ ├── 3_definitions.tex │ └── 3_propositions.tex │ ├── images │ ├── 1.1-1.3_aaa.png │ ├── 1.1-1.3_case1.png │ ├── 1.1-1.3_case2.png │ ├── 1.1-1.3_case3.png │ ├── 1.1-1.3_cases.png │ ├── 1.1-1.3_cntrl.png │ ├── 1.1-1.3_dedu.png │ ├── 1.1-1.3_neg.png │ ├── 1.1-1.3_negg.png │ ├── 1.1-1.3_v1.png │ ├── 1.1-1.3_v3.png │ ├── 1.14_страница1.PNG │ ├── 1.14_страница2.PNG │ ├── 1.14_страница3.PNG │ ├── 1.14_страница4.PNG │ ├── 1.14_страница5.PNG │ ├── 1.14_страница6.PNG │ ├── 1.16_стрелка1.PNG │ ├── 1.16_стрелка2.PNG │ ├── 1.1_aaa.png │ ├── 1.1_case1.png │ ├── 1.1_case2.png │ ├── 1.1_case3.png │ ├── 1.1_cases.png │ ├── 1.1_church1.jpg │ ├── 1.1_church2.jpg │ ├── 1.1_cntrl.png │ ├── 1.1_dedu.png │ ├── 1.1_neg.png │ ├── 1.1_negg.png │ ├── 1.1_utv16.png │ ├── 1.1_v1.png │ ├── 1.1_v3.png │ ├── 1.2_theorem.png │ ├── 1.4.png │ ├── 1.5_def.jpg │ ├── 1.5_full.jpg │ ├── 1.5_full2.jpg │ ├── 1.5_m1.jpg │ ├── 1.5_m2.jpg │ ├── 1.5_m3.jpg │ ├── 1.5_proof1.jpg │ ├── 1.5_proof2.jpg │ ├── 1.5_proof3.jpg │ ├── 1.5_proof4.jpg │ ├── 1.5_proof5.jpg │ ├── 1.5_proof6.jpg │ ├── 1.5_proof7.jpg │ ├── 1.5_proof8.jpg │ ├── 1.9-1.12_a1.png │ ├── 1.9-1.12_a2.png │ ├── 1.9-1.12_a21.png │ ├── 1.9-1.12_a4.png │ ├── 1.9-1.12_m101.png │ ├── 1.9-1.12_m102.png │ ├── 1.9-1.12_m103.png │ ├── 1_definitions_mp.png │ ├── 1_definitions_param.png │ ├── 1_definitions_sillog.png │ ├── 1_propositions_knf.jpg │ ├── 1_propositions_rules.png │ ├── 2 (определения)_21.png │ ├── 2 (определения)_m210.png │ ├── 2 (определения)_m211.png │ ├── 2 (определения)_m22.png │ ├── 2 (определения)_m23.png │ ├── 2 (определения)_m24.png │ ├── 2 (определения)_m25.png │ ├── 2 (определения)_m26.png │ ├── 2 (определения)_m27.png │ ├── 2 (определения)_m28.png │ ├── 2 (определения)_m29.png │ ├── 2 (определения)_mm1.png │ ├── 2 (определения)_mm2.png │ ├── 2 (определения)_mm3.png │ ├── 2.12 1.png │ ├── 2.12 2.png │ ├── 2.4_degree.jpg │ ├── 2.4_degree2.jpg │ ├── 3 (определения)_m31.png │ ├── 3 (определения)_m32.png │ ├── 3 (определения)_m34.png │ ├── 3 (определения)_mmm1.png │ └── logo_ltc.png │ ├── main.tex │ └── preamble │ ├── preamble_ltc.tex │ └── title_page.tex ├── Lectures ├── 1_Semester │ ├── Algebra_and_Geometry │ │ └── 2019_Bogdanov │ │ │ ├── images │ │ │ └── logo_ltc.png │ │ │ ├── main.tex │ │ │ ├── preamble │ │ │ ├── preamble.tex │ │ │ └── title_page.tex │ │ │ └── source │ │ │ ├── 1matrices.tex │ │ │ ├── 2products.tex │ │ │ ├── 3equations.tex │ │ │ ├── 4algebraiccurves.tex │ │ │ ├── 5algebraicstructures.tex │ │ │ ├── 6linearspaces.tex │ │ │ ├── 7linearfunctions.tex │ │ │ ├── 8determinants.tex │ │ │ └── 9groups.tex │ ├── Calculus │ │ └── 2021_Lukashov │ │ │ ├── TODO │ │ │ ├── images │ │ │ └── logo_ltc.png │ │ │ ├── lectures │ │ │ ├── 10lecture.tex │ │ │ ├── 11lecture.tex │ │ │ ├── 12lecture.tex │ │ │ ├── 13lecture.tex │ │ │ ├── 14lecture.tex │ │ │ ├── 15lecture.tex │ │ │ ├── 16lecture.tex │ │ │ ├── 17lecture.tex │ │ │ ├── 18lecture.tex │ │ │ ├── 19lecture.tex │ │ │ ├── 1lecture.tex │ │ │ ├── 20lecture.tex │ │ │ ├── 21lecture.tex │ │ │ ├── 22lecture.tex │ │ │ ├── 23lecture.tex │ │ │ ├── 24lecture.tex │ │ │ ├── 25lecture.tex │ │ │ ├── 26lecture.tex │ │ │ ├── 27lecture.tex │ │ │ ├── 28lecture.tex │ │ │ ├── 2lecture.tex │ │ │ ├── 3lecture.tex │ │ │ ├── 4lecture.tex │ │ │ ├── 5lecture.tex │ │ │ ├── 6lecture.tex │ │ │ ├── 7lecture.tex │ │ │ ├── 8lecture.tex │ │ │ └── 9lecture.tex │ │ │ ├── main.tex │ │ │ └── preamble_ltc │ │ │ ├── preamble.tex │ │ │ └── title_page.tex │ └── Combinatorics_and_Number_Theory │ │ └── 2021_Raigorodsky_Musatov │ │ ├── TODO │ │ ├── images │ │ └── logo_ltc.png │ │ ├── lectures │ │ ├── 10lecture.tex │ │ ├── 10lecture.tex.bak │ │ ├── 11lecture.tex │ │ ├── 12lecture.tex │ │ ├── 12lecture.tex.bak │ │ ├── 13lecture.tex │ │ ├── 14lecture.tex │ │ ├── 15lecture.tex │ │ ├── 16lecture.tex │ │ ├── 17lecture.tex │ │ ├── 1lecture.tex │ │ ├── 1lecture.tex.bak │ │ ├── 2lecture.tex │ │ ├── 2lecture.tex.bak │ │ ├── 3lecture.tex │ │ ├── 4lecture.tex │ │ ├── 5lecture.tex │ │ ├── 6lecture.tex │ │ ├── 6lecture.tex.bak │ │ ├── 7lecture.tex │ │ ├── 7lecture.tex.bak │ │ ├── 8lecture.tex │ │ └── 9lecture.tex │ │ ├── main.tex │ │ ├── main.tex.bak │ │ └── preamble_ltc │ │ ├── preamble.tex │ │ └── title_page.tex ├── 2_Semester │ ├── Algebra_and_Geometry │ │ └── 2020_Bogdanov │ │ │ ├── images │ │ │ └── logo_ltc.png │ │ │ ├── lectures │ │ │ ├── 11polynomials.tex │ │ │ ├── 12divisibility.tex │ │ │ ├── 13roots.tex │ │ │ ├── 21invariantspaces.tex │ │ │ ├── 22eigenvectors.tex │ │ │ ├── 23hamiltoncayley.tex │ │ │ ├── 24nullifiers.tex │ │ │ ├── 25jordan.tex │ │ │ ├── 26applications.tex │ │ │ ├── 27recurrencerelations.tex │ │ │ ├── 28fields.tex │ │ │ ├── 310formdiagonalization.tex │ │ │ ├── 31bilinearforms.tex │ │ │ ├── 32symmetricalforms.tex │ │ │ ├── 33positivedefinite.tex │ │ │ ├── 34hermitianforms.tex │ │ │ ├── 35euclideanspaces.tex │ │ │ ├── 36dualspace.tex │ │ │ ├── 37euclideanspacesvolume.tex │ │ │ ├── 38conjugateoperators.tex │ │ │ ├── 39orthogonaloperators.tex │ │ │ ├── 41tensors.tex │ │ │ ├── 42tensorproduct.tex │ │ │ ├── 43convolution.tex │ │ │ └── 44tensoralgebra.tex │ │ │ ├── main.tex │ │ │ └── preamble │ │ │ ├── preamble.tex │ │ │ ├── preamble_ltc.tex │ │ │ └── title_page.tex │ ├── Calculus │ │ ├── 2022_Golubev │ │ │ ├── images │ │ │ │ └── logo_ltc.png │ │ │ ├── main.tex │ │ │ ├── sty │ │ │ │ ├── newcommands.tex │ │ │ │ ├── packages.sty │ │ │ │ └── title_page_set.sty │ │ │ └── subfiles │ │ │ │ ├── Jordan_measure.tex │ │ │ │ ├── lecture10.tex │ │ │ │ ├── lecture11.tex │ │ │ │ ├── lecture12.tex │ │ │ │ ├── lecture13.tex │ │ │ │ ├── lecture14.tex │ │ │ │ ├── lecture15.tex │ │ │ │ ├── lecture16.tex │ │ │ │ ├── lecture17.tex │ │ │ │ ├── lecture18.tex │ │ │ │ ├── lecture19.tex │ │ │ │ ├── lecture8.tex │ │ │ │ ├── lecture9.tex │ │ │ │ └── title_page.tex │ │ └── 2022_Lukashov │ │ │ ├── TODO │ │ │ ├── images │ │ │ └── logo_ltc.png │ │ │ ├── lectures │ │ │ ├── 1semester │ │ │ │ ├── 28lecture.tex │ │ │ │ ├── 29lecture.tex │ │ │ │ └── 30lecture.tex │ │ │ └── 2semester │ │ │ │ ├── 10lecture.tex │ │ │ │ ├── 11lecture.tex │ │ │ │ ├── 12lecture.tex │ │ │ │ ├── 13lecture.tex │ │ │ │ ├── 14lecture.tex │ │ │ │ ├── 15lecture.tex │ │ │ │ ├── 16lecture.tex │ │ │ │ ├── 17lecture.tex │ │ │ │ ├── 18lecture.tex │ │ │ │ ├── 1lecture.tex │ │ │ │ ├── 2lecture.tex │ │ │ │ ├── 3lecture.tex │ │ │ │ ├── 4lecture.tex │ │ │ │ ├── 5lecture.tex │ │ │ │ ├── 6lecture.tex │ │ │ │ ├── 7lecture.tex │ │ │ │ ├── 8lecture.tex │ │ │ │ └── 9lecture.tex │ │ │ ├── main.tex │ │ │ └── preamble_ltc │ │ │ ├── preamble.tex │ │ │ └── title_page.tex │ └── Combinatorics_and_Number_Theory │ │ └── 2022_Raigorodsky │ │ ├── images │ │ └── logo_ltc.png │ │ ├── lectures │ │ ├── 10lecture.tex │ │ ├── 11lecture.tex │ │ ├── 12lecture.tex │ │ ├── 13lecture.tex │ │ ├── 14lecture.tex │ │ ├── 15lecture.tex │ │ ├── 1lecture.tex │ │ ├── 2lecture.tex │ │ ├── 3lecture.tex │ │ ├── 4lecture.tex │ │ ├── 5lecture.tex │ │ ├── 6lecture.tex │ │ ├── 7lecture.tex │ │ ├── 8lecture.tex │ │ └── 9lecture.tex │ │ ├── main.tex │ │ └── preamble_ltc │ │ ├── preamble.tex │ │ └── title_page.tex ├── 3_Semester │ ├── Algorithms │ │ └── 2020_Matskevich │ │ │ ├── figures │ │ │ ├── alpabeta.png │ │ │ ├── deloneConstruct.png │ │ │ ├── deloneConvex.png │ │ │ ├── deloneExample.png │ │ │ ├── deloneMST.png │ │ │ ├── dft1.png │ │ │ ├── dft2.png │ │ │ ├── dft3.png │ │ │ ├── dft4.png │ │ │ ├── dft5.png │ │ │ ├── dft6.png │ │ │ ├── dft7.png │ │ │ ├── dft8.png │ │ │ ├── dft9.png │ │ │ ├── forchExample.png │ │ │ ├── kdTree.png │ │ │ ├── kdTree3D.png │ │ │ ├── kdTreeConstruct.png │ │ │ ├── mink.pdf_tex │ │ │ ├── mink.svg │ │ │ ├── minmax.png │ │ │ ├── poly.pdf_tex │ │ │ ├── poly.svg │ │ │ ├── polynom.svg │ │ │ ├── voronoiDelone.jpg │ │ │ └── voronoiExample.png │ │ │ ├── include │ │ │ ├── logo_LTC.PNG │ │ │ ├── preamble.tex │ │ │ └── title.tex │ │ │ ├── lectures │ │ │ ├── lec01.tex │ │ │ ├── lec02.tex │ │ │ ├── lec03.tex │ │ │ ├── lec04.tex │ │ │ ├── lec05.tex │ │ │ ├── lec06.tex │ │ │ ├── lec07.tex │ │ │ ├── lec08.tex │ │ │ ├── lec09.tex │ │ │ ├── lec10.tex │ │ │ ├── lec11.tex │ │ │ ├── lec12.tex │ │ │ ├── lec13.tex │ │ │ ├── lec14.tex │ │ │ └── lec15.tex │ │ │ └── main.tex │ ├── CAOS │ │ └── 2020_Yacovlev │ │ │ ├── etc │ │ │ ├── preamble.tex │ │ │ └── title_page.tex │ │ │ ├── images │ │ │ └── logo_LTC.PNG │ │ │ ├── lectures │ │ │ ├── lect01.tex │ │ │ ├── lect02.tex │ │ │ ├── lect03.tex │ │ │ ├── lect04.tex │ │ │ ├── lect05.tex │ │ │ ├── lect06.tex │ │ │ ├── lect07.tex │ │ │ ├── lect08.tex │ │ │ ├── lect09.tex │ │ │ ├── lect10.tex │ │ │ └── lect11.tex │ │ │ └── main.tex │ ├── Calculus │ │ └── 2020_Lukashov │ │ │ ├── etc │ │ │ ├── preamble.tex │ │ │ └── title_page.tex │ │ │ ├── images │ │ │ ├── 1.png │ │ │ └── logo_LTC.PNG │ │ │ ├── lectures │ │ │ ├── lect01.tex │ │ │ ├── lect02.tex │ │ │ ├── lect03.tex │ │ │ ├── lect04.tex │ │ │ ├── lect05.tex │ │ │ ├── lect09.tex │ │ │ ├── lect10.tex │ │ │ ├── lect11.tex │ │ │ └── lect12.tex │ │ │ └── main.tex │ ├── Discrete_Analysis │ │ └── 2020_Raigorodskii │ │ │ ├── img_src │ │ │ └── logo_LTC.PNG │ │ │ ├── lectures_src │ │ │ ├── DeBrujn.png │ │ │ ├── lecture01.tex │ │ │ ├── lecture02.tex │ │ │ ├── lecture03.tex │ │ │ └── lecture04.tex │ │ │ ├── main.tex │ │ │ └── preamble_and_reference │ │ │ ├── additional_info.tex │ │ │ ├── preamble.tex │ │ │ └── title_page.tex │ ├── Formal_Systems_and_Algorithms │ │ └── 2020_Vialyi │ │ │ ├── LEC │ │ │ ├── lec_1.tex │ │ │ ├── lec_2.tex │ │ │ ├── lec_3.tex │ │ │ ├── lec_4.tex │ │ │ ├── lec_5.tex │ │ │ ├── lec_6.tex │ │ │ └── lec_7.tex │ │ │ ├── images │ │ │ ├── logo_LTC.png │ │ │ ├── resol.png │ │ │ ├── tr1.png │ │ │ ├── tr2.png │ │ │ ├── tr3.png │ │ │ ├── tr4.png │ │ │ ├── tr5.png │ │ │ ├── tr6.png │ │ │ ├── tr7.png │ │ │ └── tree1.png │ │ │ ├── main.tex │ │ │ └── template │ │ │ ├── head.tex │ │ │ └── title_page.tex │ ├── Group_Theory │ │ └── 2020_Bogdanov │ │ │ ├── images │ │ │ └── logo_ltc.png │ │ │ ├── lectures │ │ │ ├── 11basics.tex │ │ │ ├── 12normalsubgroups.tex │ │ │ ├── 13homomorphisms.tex │ │ │ ├── 14actions.tex │ │ │ ├── 15burnsidelemma.tex │ │ │ ├── 21directproduct.tex │ │ │ ├── 22commutant.tex │ │ │ ├── 23solvablegroups.tex │ │ │ ├── 24simplegroups.tex │ │ │ ├── 31freegroups.tex │ │ │ ├── 32presentations.tex │ │ │ ├── 41sylowtheorems.tex │ │ │ ├── 42freeabeliangroups.tex │ │ │ ├── 43abeliangroupsclassification.tex │ │ │ ├── 51ideals.tex │ │ │ └── 52polynomials.tex │ │ │ ├── main.tex │ │ │ └── preamble_ltc │ │ │ ├── preamble.tex │ │ │ └── title_page.tex │ └── TRPL │ │ └── 2020_Rubtsov │ │ ├── etc │ │ ├── additional.tex │ │ ├── preamble.tex │ │ └── title_page.tex │ │ ├── images │ │ ├── 7.PNG │ │ ├── DKA.PNG │ │ ├── FiniteAutoma.PNG │ │ ├── FullSintTree.PNG │ │ ├── SintTree.PNG │ │ └── logo_LTC.PNG │ │ ├── lectures │ │ ├── lect01.tex │ │ ├── lect02.tex │ │ ├── lect03.tex │ │ └── lect04.tex │ │ └── main.tex ├── 4_Semester │ ├── Calculus │ │ └── 2021_Lukashov │ │ │ ├── etc │ │ │ ├── note.cls │ │ │ └── preamble.tex │ │ │ ├── images │ │ │ ├── logo_LTC.png │ │ │ └── mipt_rus.png │ │ │ ├── main.tex │ │ │ └── units │ │ │ ├── 01.tex │ │ │ ├── 02.tex │ │ │ ├── 03.tex │ │ │ ├── 04.tex │ │ │ ├── 05.tex │ │ │ ├── 06.tex │ │ │ ├── 07.tex │ │ │ ├── 08.tex │ │ │ ├── 09.tex │ │ │ ├── 10.tex │ │ │ ├── 11.tex │ │ │ ├── 12.tex │ │ │ ├── 13.tex │ │ │ ├── 14.tex │ │ │ └── 15.tex │ ├── Computational_Methods_of_Algebra │ │ └── 2021_Tyrtyshnikov │ │ │ ├── etc │ │ │ ├── additional.tex │ │ │ ├── note.cls │ │ │ └── preamble.tex │ │ │ ├── images │ │ │ ├── im.tikz │ │ │ ├── kach.tikz │ │ │ ├── ker.tikz │ │ │ ├── lect05_matrix.tikz │ │ │ ├── lect05_step1.tikz │ │ │ ├── lect05_step2.tikz │ │ │ ├── logo_LTC.png │ │ │ └── mipt_rus.png │ │ │ ├── main.tex │ │ │ └── units │ │ │ ├── 01.tex │ │ │ ├── 02.tex │ │ │ ├── 03.tex │ │ │ ├── 04.tex │ │ │ ├── 05.tex │ │ │ ├── 06.tex │ │ │ └── 07.tex │ ├── Measure_and_Lebesgue_Integral │ │ └── 2021_Gusev │ │ │ ├── etc │ │ │ ├── additional.tex │ │ │ ├── note.cls │ │ │ └── preamble.tex │ │ │ ├── images │ │ │ ├── atan.tikz │ │ │ ├── atan_ball.tikz │ │ │ ├── balls.tikz │ │ │ ├── f15.tikz │ │ │ ├── k1.tikz │ │ │ ├── k2.tikz │ │ │ ├── k3.tikz │ │ │ ├── kantor.tikz │ │ │ ├── ker.tikz │ │ │ ├── kompakt.tikz │ │ │ ├── lect10_2.tikz │ │ │ ├── lect5_1.tikz │ │ │ ├── lect5_2.tikz │ │ │ ├── lect7_1.tikz │ │ │ ├── lect9_1.tikz │ │ │ ├── logo_LTC.png │ │ │ ├── mipt_rus.png │ │ │ ├── mult.tikz │ │ │ ├── pm.tikz │ │ │ ├── sep.tikz │ │ │ ├── sets.tikz │ │ │ ├── stairs.tikz │ │ │ ├── tapes.tikz │ │ │ ├── ung.tikz │ │ │ └── upic.tikz │ │ │ ├── main.tex │ │ │ ├── tasks1 │ │ │ ├── 01.tex │ │ │ ├── 02.tex │ │ │ ├── 03.tex │ │ │ ├── 04.tex │ │ │ ├── 05.tex │ │ │ ├── 06.tex │ │ │ ├── 09.tex │ │ │ └── 10.tex │ │ │ ├── tasks2 │ │ │ ├── 01.tex │ │ │ ├── 02.tex │ │ │ ├── 03.tex │ │ │ ├── 04.tex │ │ │ ├── 05.tex │ │ │ └── 09.tex │ │ │ └── units │ │ │ ├── 01.tex │ │ │ ├── 02.tex │ │ │ ├── 03.tex │ │ │ ├── 04.tex │ │ │ ├── 05.tex │ │ │ ├── 06.tex │ │ │ ├── 07.tex │ │ │ ├── 08.tex │ │ │ ├── 09.tex │ │ │ ├── 10.tex │ │ │ ├── 11.tex │ │ │ ├── 12.tex │ │ │ ├── 13.tex │ │ │ ├── 14.tex │ │ │ └── 15.tex │ └── Ring_and_Field_Theory │ │ └── 2021_Ilyinsky │ │ ├── images │ │ └── logo_ltc.png │ │ ├── lectures │ │ ├── 11revision.tex │ │ ├── 12basics.tex │ │ ├── 13euclideanrings.tex │ │ ├── 14indecombosableelements.tex │ │ ├── 15applications.tex │ │ ├── 21ideals.tex │ │ ├── 22quotientrings.tex │ │ ├── 23noetherianrings.tex │ │ ├── 24classification.tex │ │ ├── 25quotientfield.tex │ │ ├── 26factorialpoly.tex │ │ ├── 31irreduciblepoly.tex │ │ ├── 32fields.tex │ │ ├── 33finiteextensions.tex │ │ ├── 34construction.tex │ │ ├── 35algebraicextensions.tex │ │ ├── 36conjugation.tex │ │ ├── 37automorphisms.tex │ │ ├── 38symmetricalpoly.tex │ │ ├── 39galoisextensions.tex │ │ ├── 41automorphisms.tex │ │ ├── 42symmetricalpoly.tex │ │ ├── 43galoisextensions.tex │ │ ├── 44applications.tex │ │ ├── 51finitefields.tex │ │ └── 52finitefieldautomorphisms.tex │ │ ├── main.tex │ │ └── preamble_ltc │ │ ├── preamble.tex │ │ └── title_page.tex ├── 5_Semester │ ├── Functional_Analysis │ │ └── 2021_Konovalov │ │ │ ├── images │ │ │ └── logo_ltc.png │ │ │ ├── lectures │ │ │ ├── 1spaces.tex │ │ │ ├── 2completespaces.tex │ │ │ ├── 3compactspaces.tex │ │ │ ├── 4linearspaces.tex │ │ │ ├── 5linearoperators.tex │ │ │ ├── 6inverseoperator.tex │ │ │ └── 7spectrum.tex │ │ │ ├── main.tex │ │ │ └── preamble_ltc │ │ │ ├── preamble.tex │ │ │ └── title_page.tex │ ├── Representation_Theory │ │ └── 2021_Styrt │ │ │ ├── images │ │ │ └── logo_ltc.png │ │ │ ├── lectures │ │ │ ├── 10modules.tex │ │ │ ├── 11integralelements.tex │ │ │ ├── 12manifolds.tex │ │ │ ├── 13liegroups.tex │ │ │ ├── 14liegroupsproperties.tex │ │ │ ├── 15liegroupsfinal.tex │ │ │ ├── 1introduction.tex │ │ │ ├── 2homomorphisms.tex │ │ │ ├── 3operations.tex │ │ │ ├── 4reducibility.tex │ │ │ ├── 5groupalgebra.tex │ │ │ ├── 6complexification.tex │ │ │ ├── 7characters.tex │ │ │ ├── 8symmetries.tex │ │ │ └── 9products.tex │ │ │ ├── main.tex │ │ │ └── preamble_ltc │ │ │ ├── preamble.tex │ │ │ └── title_page.tex │ ├── Statistics │ │ └── 2021_Savelov │ │ │ ├── images │ │ │ └── logo_ltc.png │ │ │ ├── lectures │ │ │ ├── lecture1.tex │ │ │ ├── lecture10.tex │ │ │ ├── lecture11.tex │ │ │ ├── lecture12.tex │ │ │ ├── lecture13.tex │ │ │ ├── lecture14.tex │ │ │ ├── lecture2.tex │ │ │ ├── lecture3.tex │ │ │ ├── lecture4.tex │ │ │ ├── lecture5.tex │ │ │ ├── lecture6.tex │ │ │ ├── lecture7.tex │ │ │ ├── lecture8.tex │ │ │ └── lecture9.tex │ │ │ ├── main.tex │ │ │ └── preamble_ltc │ │ │ ├── preamble.tex │ │ │ └── title_page.tex │ └── TFCV │ │ ├── 2020_Polovinkin │ │ ├── etc │ │ │ ├── additional.tex │ │ │ ├── preamble.tex │ │ │ └── title_page.tex │ │ ├── images │ │ │ ├── 1st.eps │ │ │ ├── 20.eps │ │ │ ├── 2511.eps │ │ │ ├── 2512.eps │ │ │ ├── 2513.eps │ │ │ ├── 2514.eps │ │ │ ├── 2515.eps │ │ │ ├── 2516.eps │ │ │ ├── 2520.eps │ │ │ ├── 2521.eps │ │ │ ├── 2522.eps │ │ │ ├── 2523.eps │ │ │ ├── 2524.eps │ │ │ ├── 2525.eps │ │ │ ├── 2526.eps │ │ │ ├── 2527.eps │ │ │ ├── 2528.eps │ │ │ ├── 2nd.eps │ │ │ ├── Ex1.eps │ │ │ ├── Ex1.png │ │ │ ├── Ex2.png │ │ │ ├── Par18.eps │ │ │ ├── Par18.png │ │ │ ├── Par20.png │ │ │ ├── Riemann.eps │ │ │ ├── Riemann.png │ │ │ ├── circ.eps │ │ │ ├── circ.png │ │ │ ├── cut_rnd.eps │ │ │ ├── d_polupol.eps │ │ │ ├── deltaarg.eps │ │ │ ├── deltaarg.png │ │ │ ├── dok.eps │ │ │ ├── ex24_1.eps │ │ │ ├── ex24_1_2.eps │ │ │ ├── half_plane.eps │ │ │ ├── half_plane_t.eps │ │ │ ├── half_round.eps │ │ │ ├── logo_LTC.png │ │ │ ├── neob.eps │ │ │ ├── obraz_exp.eps │ │ │ ├── odn_exp.eps │ │ │ ├── out_rnd.eps │ │ │ ├── parabola.eps │ │ │ ├── pm1.eps │ │ │ ├── pm1out.eps │ │ │ ├── polupolosa.eps │ │ │ ├── rnd_in.eps │ │ │ ├── rnd_out.eps │ │ │ ├── round.eps │ │ │ └── top.eps │ │ ├── ipes │ │ │ ├── 1st.ipe │ │ │ ├── 2nd.ipe │ │ │ ├── Ex1.eps.ipe │ │ │ ├── Par18.ipe │ │ │ ├── Par20.ipe │ │ │ ├── Riemann.ipe │ │ │ ├── deltaarg.ipe │ │ │ ├── dok.ipe │ │ │ ├── ex1.ipe │ │ │ ├── ex25_1.ipe │ │ │ ├── exp.ipe │ │ │ ├── half_round.ipe │ │ │ ├── hp.ipe │ │ │ ├── neob.ipe │ │ │ ├── obraz_exp.ipe │ │ │ ├── par.ipe │ │ │ ├── pict_TFCV.ipe │ │ │ ├── rnd.ipe │ │ │ └── round.ipe │ │ ├── lectures │ │ │ ├── auto │ │ │ │ └── lect23.el │ │ │ ├── lect01.tex │ │ │ ├── lect02.tex │ │ │ ├── lect03.tex │ │ │ ├── lect04.tex │ │ │ ├── lect05.tex │ │ │ ├── lect06.tex │ │ │ ├── lect07.tex │ │ │ ├── lect08.tex │ │ │ ├── lect09.tex │ │ │ ├── lect10.tex │ │ │ ├── lect11.tex │ │ │ ├── lect12.tex │ │ │ ├── lect13.tex │ │ │ ├── lect14.tex │ │ │ ├── lect15.tex │ │ │ ├── lect16.tex │ │ │ ├── lect17.tex │ │ │ ├── lect18.tex │ │ │ ├── lect19.tex │ │ │ ├── lect20.tex │ │ │ ├── lect21.tex │ │ │ ├── lect22.tex │ │ │ └── lect23.tex │ │ └── main.tex │ │ └── 2021_Bunakov │ │ ├── images │ │ └── logo_ltc.png │ │ ├── lectures │ │ ├── 1-5.tex │ │ ├── 11-15.tex │ │ ├── 16-20.tex │ │ ├── 21-25.tex │ │ ├── 26-30.tex │ │ ├── 31-35.tex │ │ └── 6-10.tex │ │ ├── main.tex │ │ └── preamble_ltc │ │ ├── preamble.tex │ │ └── title_page.tex └── 6_Semester │ ├── Algebraic_Topology │ └── 2022_Elishev │ │ ├── images │ │ └── logo_ltc.png │ │ ├── lectures │ │ ├── 1introduction.tex │ │ ├── 1spaces.tex │ │ ├── 2connectivity.tex │ │ ├── 2mappings.tex │ │ ├── 3bases.tex │ │ ├── 4separation.tex │ │ ├── 5compactness.tex │ │ ├── 6bicompactness.tex │ │ ├── 7tihonov.tex │ │ ├── 8compactness.tex │ │ └── 9compactnesstype.tex │ │ ├── main.tex │ │ └── preamble_ltc │ │ ├── preamble.tex │ │ └── title_page.tex │ ├── Functional_Analysis │ └── 2022_Konovalov │ │ ├── images │ │ └── logo_ltc.png │ │ ├── lectures │ │ ├── lecture11.tex │ │ ├── lecture14.tex │ │ ├── lecture15.tex │ │ ├── lecture16.tex │ │ └── lecture17.tex │ │ ├── main.tex │ │ └── preamble_ltc │ │ ├── preamble.tex │ │ └── title_page.tex │ └── Random_Processes │ ├── 2021_Shirobokov │ ├── README.md │ ├── etc │ │ ├── additional.tex │ │ ├── auto │ │ │ └── preamble.el │ │ ├── letters.tex │ │ ├── note.cls │ │ ├── old_preamble.tex │ │ └── preamble.tex │ ├── images │ │ ├── 01.eps │ │ ├── 01.ipe │ │ ├── def.eps │ │ ├── example1.eps │ │ ├── logo_LTC.png │ │ ├── mipt_rus.png │ │ ├── muldim.ipe │ │ ├── multidim.eps │ │ ├── poisson │ │ ├── poisson.eps │ │ ├── stgr.eps │ │ ├── stgr.ipe │ │ ├── winlim.eps │ │ └── winlim.ipe │ ├── main.tex │ └── units │ │ ├── 01.tex │ │ ├── 02.tex │ │ ├── 03.tex │ │ ├── 04.tex │ │ ├── 05.tex │ │ ├── 06.tex │ │ ├── 07.tex │ │ ├── 08.tex │ │ ├── 09.tex │ │ ├── 10.tex │ │ ├── 11.tex │ │ ├── 12.tex │ │ └── 13.tex │ └── 2022_Shabanov │ ├── images │ └── logo_ltc.png │ ├── lectures │ 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