├── .gitignore ├── LICENSE ├── Math.lyx ├── README.md ├── image ├── .gitignore ├── Decision-Tree-Elements.png ├── Dydx_zh.svg ├── Normal_Distribution_PDF.svg.png ├── PascalTriangleAnimated2-gif.png ├── WeierstrassFunction.svg ├── circle_angualr1.png ├── circle_power_theorem.png ├── ecllipse.png ├── fuc-limit.jpg ├── hyperbola.png ├── low_of_sines.png ├── probability │ └── boyGirlTue.png ├── readme.md ├── redical_fuction_beyond1.png ├── redical_fuction_down1.png ├── soulution_triangle.png ├── tri-Asin(x).png ├── vector_add_3.png ├── vector_add_4.png ├── 一些有趣的图形_1.png ├── 一些有趣的图形_2.png ├── 三角瓣线-gif.jpg ├── 不定积分-三角回代法.jpg ├── 不等式.png ├── 不等式_解.png ├── 二维向量几何.png ├── 二重积分-直角坐标系-例1.jpg ├── 二重积分-直角坐标系.jpg ├── 二重积分-直角坐标系2.jpg ├── 其它曲线y3x3.png ├── 其它曲线y4x4.png ├── 内摆线.png ├── 勒洛三角形.ggb ├── 勒洛三角形.png ├── 单峰函数优选法.png ├── 双曲三角形.png ├── 双曲函数.png ├── 反射变换.png ├── 向量数量积.png ├── 向量的叉积.png ├── 圆的正相交.png ├── 复数.png ├── 外摆线.png ├── 外摆线1.png ├── 对顶三角形.png ├── 带饰1.png ├── 带饰2.png ├── 带饰3.png ├── 带饰4.png ├── 带饰5.png ├── 带饰6.png ├── 带饰7.png ├── 庞加莱圆盘模型1.png ├── 弧微分.png ├── 拉格朗日中值定理.jpg ├── 摆线0.png ├── 摆线1.png ├── 摆线2.png ├── 斐波那契螺旋.jpg ├── 极坐标系.png ├── 椭圆参数方程.png ├── 椭圆曲线y2x3.jpg ├── 渐开线.png ├── 球面三角形.png ├── 球面二角形.png ├── 球面二角形0.png ├── 球面角.png ├── 直线与圆正交.png ├── 罗尔定理.png ├── 虚数坐标表示.png ├── 虚数轴.png ├── 费马引理.png ├── 金分割法.png ├── 除.dia ├── 除.svg └── 面饰.png └── img ├── 1.jpg └── 2.jpg /.gitignore: -------------------------------------------------------------------------------- 1 | Math.lyx~ 2 | \#Math.lyx\# 3 | test.txt 4 | 5 | Math.pdf 6 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | Creative Commons Legal Code 2 | 3 | CC0 1.0 Universal 4 | 5 | CREATIVE COMMONS CORPORATION IS NOT A LAW FIRM AND DOES NOT PROVIDE 6 | LEGAL SERVICES. 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Affirmer understands and acknowledges that Creative Commons is not a 120 | party to this document and has no duty or obligation with respect to 121 | this CC0 or use of the Work. 122 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # Math-study 2 | 3 | 使用lyx编写, [lyx 下载地址](https://www.lyx.org/Download). 4 | 5 | 打开```Math.lyx``` 即可查阅. 6 | 7 | ``img`` 是展示图片; 8 | ```image``` 是`Math.lyx` 使用到的图片 9 | 10 | ![eg](./img/1.jpg) 11 | ![eg](./img/2.jpg) 12 | 13 | [查看旧版内容](https://github.com/ZTFtrue/Math-study/releases/tag/v0.0.4-alpha) 14 | -------------------------------------------------------------------------------- /image/.gitignore: -------------------------------------------------------------------------------- 1 | *.pdf -------------------------------------------------------------------------------- /image/Decision-Tree-Elements.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/ZTFtrue/Math-study/2012cd7dc3c036bb35f623cc90d38b94f12c0d05/image/Decision-Tree-Elements.png -------------------------------------------------------------------------------- /image/Dydx_zh.svg: -------------------------------------------------------------------------------- 1 | 2 | 3 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 71 | 72 | 73 | 74 | 75 | 76 | 77 | 78 | 79 | 80 | 81 | 82 | 83 | 84 | 85 | 86 | 87 | 88 | 89 | 90 | Parabola f 91 | Parabola f: y = 1 / 7 (x - x(D))² + y(D) 92 | 93 | 94 | 95 | 96 | 97 | 98 | 99 | 100 | 101 | Parabola f 102 | Parabola f: y = 1 / 7 (x - x(D))² + y(D) 103 | 104 | 105 | 106 | 107 | 108 | 109 | 110 | 111 | 112 | Line f_{1} 113 | Line f_{1}: Tangent to f through P 114 | 115 | 116 | 117 | 118 | 119 | 120 | 121 | 122 | 123 | Segment g 124 | Segment g: Segment P, E 125 | 126 | 127 | 128 | 129 | 130 | 131 | 132 | 133 | 134 | Segment i 135 | Segment i: Segment H, F 136 | 137 | 138 | 139 | 140 | 141 | 142 | 143 | 144 | 145 | Segment j 146 | Segment j: Segment H, I 147 | 148 | 149 | 150 | 151 | 152 | 153 | 154 | 155 | 156 | Segment q 157 | Segment q: Segment G, C 158 | 159 | 160 | 161 | 162 | 163 | 164 | 165 | 166 | 167 | Segment r 168 | Segment r: Segment I, L 169 | 170 | 171 | 172 | 173 | 174 | 175 | 176 | 177 | 178 | Segment s 179 | Segment s: Segment P, K 180 | 181 | 182 | 183 | 184 | 185 | 186 | 187 | 188 | 189 | Segment t 190 | Segment t: Segment I, G 191 | 192 | 193 | 194 | 195 | 196 | 197 | 198 | 199 | 200 | Vector u 201 | Vector u: Vector(J, L) 202 | 203 | 204 | 205 | 206 | 207 | 208 | 209 | 210 | 211 | Vector u 212 | Vector u: Vector(J, L) 213 | 214 | 215 | 216 | 217 | 218 | 219 | 220 | 221 | 222 | Vector v 223 | Vector v: Vector(L, J) 224 | 225 | 226 | 227 | 228 | 229 | 230 | 231 | 232 | 233 | Vector v 234 | Vector v: Vector(L, J) 235 | 236 | 237 | 238 | 239 | 240 | 241 | 242 | 243 | 244 | Vector w 245 | Vector w: Vector(K, C) 246 | 247 | 248 | 249 | 250 | 251 | 252 | 253 | 254 | 255 | Vector w 256 | Vector w: Vector(K, C) 257 | 258 | 259 | 260 | 261 | 262 | 263 | 264 | 265 | 266 | Vector a 267 | Vector a: Vector(C, K) 268 | 269 | 270 | 271 | 272 | 273 | 274 | 275 | 276 | 277 | Vector a 278 | Vector a: Vector(C, K) 279 | 280 | 281 | 282 | 283 | 284 | 285 | 286 | 287 | 288 | Point P 289 | Point P: Point on f 290 | 291 | 292 | 293 | 294 | 295 | 296 | 297 | 298 | 299 | Point P 300 | Point P: Point on f 301 | 302 | 303 | 304 | 305 | 306 | 307 | 308 | 309 | 310 | Point P 311 | Point P: Point on f 312 | 313 | 314 | 315 | 316 | 317 | 318 | 319 | 320 | 321 | 322 | x 323 | text1 = “x” 324 | 325 | 326 | 327 | 328 | 329 | 330 | 331 | 332 | 333 | 334 | 335 | x+\triangle x 336 | text2 = “x+\triangle x” 337 | 338 | 339 | 340 | 341 | 342 | 343 | 344 | 345 | 346 | 347 | 348 | x+\triangle x 349 | text2 = “x+\triangle x” 350 | 351 | 352 | 353 | 354 | 355 | 356 | 357 | 358 | 359 | 360 | 361 | x+\triangle x 362 | text2 = “x+\triangle x” 363 | 364 | 365 | 366 | 367 | 368 | 369 | 370 | 371 | 372 | 373 | 374 | x+\triangle x 375 | text2 = “x+\triangle x” 376 | 377 | 378 | 379 | 380 | 381 | 382 | 383 | 384 | 385 | 386 | 387 | dx=\triangle x 388 | text3 = “dx=\triangle x” 389 | 390 | 391 | 392 | 393 | 394 | 395 | 396 | 397 | 398 | 399 | 400 | dx=\triangle x 401 | text3 = “dx=\triangle x” 402 | 403 | 404 | 405 | 406 | 407 | 408 | 409 | 410 | 411 | 412 | 413 | dx=\triangle x 414 | text3 = “dx=\triangle x” 415 | 416 | 417 | 418 | 419 | 420 | 421 | 422 | 423 | 424 | 425 | 426 | dx=\triangle x 427 | text3 = “dx=\triangle x” 428 | 429 | 430 | 431 | 432 | 433 | 434 | 435 | 436 | 437 | 438 | 439 | dx=\triangle x 440 | text3 = “dx=\triangle x” 441 | 442 | 443 | 444 | 445 | 446 | 447 | 448 | 449 | 450 | 451 | 452 | dy 453 | text4 = “dy” 454 | 455 | 456 | 457 | 458 | 459 | 460 | 461 | 462 | 463 | 464 | 465 | dy 466 | text4 = “dy” 467 | 468 | 469 | 470 | 471 | 472 | 473 | 474 | 475 | 476 | 477 | 478 | \triangle y 479 | text5 = “\triangle y” 480 | 481 | 482 | 483 | 484 | 485 | 486 | 487 | 488 | 489 | 490 | 491 | \triangle y 492 | text5 = “\triangle y” 493 | 494 | 495 | 496 | 497 | 498 | 499 | 500 | 501 | 502 | 503 | 504 | f 505 | text6 = “f” 506 | 507 | 508 | 509 | 510 | 511 | 512 | 513 | -------------------------------------------------------------------------------- /image/Normal_Distribution_PDF.svg.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/ZTFtrue/Math-study/2012cd7dc3c036bb35f623cc90d38b94f12c0d05/image/Normal_Distribution_PDF.svg.png -------------------------------------------------------------------------------- /image/PascalTriangleAnimated2-gif.png: 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| 272 | 273 | 276 | 278 | 281 | 282 | 286 | 287 | 290 | 292 | 295 | 296 | 300 | 301 | 304 | 306 | 309 | 310 | 314 | 315 | 318 | 320 | 323 | 324 | 328 | 329 | 332 | 334 | 337 | 338 | 342 | 343 | 346 | 348 | 351 | 352 | 356 | 357 | 361 | 363 | 366 | 367 | 1 373 | 374 | 377 | 379 | 382 | 383 | 387 | 388 | 391 | 393 | 396 | 397 | 401 | 402 | 405 | 407 | 410 | 411 | 415 | 416 | 419 | 421 | 424 | 425 | 429 | 430 | 433 | 435 | 438 | 439 | 443 | 444 | 448 | 450 | 453 | 454 | 2 460 | 461 | 464 | 466 | 469 | 470 | 474 | 475 | 479 | 481 | 484 | 485 | x 492 | 493 | 496 | 498 | 501 | 502 | 506 | 507 | 511 | 513 | 516 | 517 | - 523 | 524 | 528 | 530 | 533 | 534 | 2 540 | 541 | 544 | 546 | 549 | 550 | 554 | 555 | 558 | 560 | 563 | 564 | 568 | 569 | 572 | 574 | 577 | 578 | 582 | 583 | 586 | 588 | 591 | 592 | 596 | 597 | 600 | 602 | 605 | 606 | 610 | 611 | 615 | 617 | 620 | 621 | - 627 | 628 | 632 | 634 | 637 | 638 | 1 644 | 645 | 648 | 650 | 653 | 654 | 658 | 659 | 662 | 664 | 667 | 668 | 672 | 673 | 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