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itemscope="" itemtype="http://schema.org/CreativeWork"><meta itemprop="name" content="LaTeX数学符号语法速查表"><meta itemprop="description" content="本文整理常用LaTeX数学符号语法，含加减乘除、幂运算、逻辑/关系运算符、希腊字母、箭头、分式、根式、矩阵等符号的语法表示，以及上下标、空格、积分、求和等排版技巧，附公式引用与矩阵编辑示例。"></span><span hidden=""><meta itemprop="image" content="/lib/favicon/android-chrome-192x192.png"></span><div class="article-meta" id="top"><span hidden="" itemprop="name headline"></span></div><div id="layoutHelper-page-plugins"></div><div id="post-body" itemprop="articleBody"><p><svg style="width:50px;margin:0 auto;display:block" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 640 512"><defs><style>.fa-secondary{opacity:.4}</style></defs><path class="fa-primary" d="M192 .0146 160 .0098c-52.94 0-96 43.07-96 96v96H32c-17.67 0-32 14.31-32 32s14.33 32 32 32h32v128c0 17.66-14.36 31.1-32 31.1-17.67 0-32 14.32-32 32s14.33 32 32 32c52.94 0 96-43.06 96-96v-128h32c17.67 0 32-14.31 32-32s-14.33-32-32-32H128v-96C128 78.36 142.4 64.01 160 64.01l32 .0049c17.67 0 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628 80L501 383C569 455 620 509 653 546 677 571 693 588 702 595 739 626 780 642 825 644 846 645 851 650 851 669 848 678 847 683 834 683Z"></path></g></g></g></svg></mjx-container></span></p><br><span id="more"></span><h1 hidden="">LaTeX 数学符号语法速查表</h1><p><strong>PS：</strong> 更多符号使用可以查看 [<a target="_blank" rel="external nofollow noopener noreferrer" href="/go.html?u=aHR0cHM6Ly9hcnRvZnByb2JsZW1zb2x2aW5nLmNvbS93aWtpL2luZGV4LnBocC9MYVRlWDpTeW1ib2xz">LaTeX:Symbols</a>][<a target="_blank" rel="external nofollow noopener noreferrer" href="/go.html?u=aHR0cHM6Ly9kZXRleGlmeS5raXJlbGFicy5vcmcvY2xhc3NpZnkuaHRtbA">Detexify</a>][<a target="_blank" rel="external nofollow noopener noreferrer" href="/go.html?u=aHR0cHM6Ly93d3cubGF0ZXhsaXZlLmNvbS8">LaTexLive</a>]</p><div class="story post-story"><h2 id="加减乘除"><a href="#加减乘除" class="headerlink" title="加减乘除"></a>加减乘除</h2><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.188ex" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.507ex" role="img" focusable="false" viewBox="0 -583 778 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="+"><g data-mml-node="mo" data-latex="+"><path data-c="2B" d="M698 274 413 274 413 559C413 575 405 583 389 583 373 583 365 575 365 559L365 274 80 274C64 274 56 266 56 250 56 234 64 226 80 226L365 226 365-59C365-75 373-83 389-83 405-83 413-75 413-59L413 226 698 226C714 226 722 234 722 250 722 263 711 274 698 274Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.188ex" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.507ex" role="img" focusable="false" viewBox="0 -583 778 666"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="-"><g data-mml-node="mo" data-latex="-"><path data-c="2212" d="M698 270 80 270C64 270 56 263 56 250 56 237 64 230 80 230L698 230C714 230 722 237 722 250 722 262 710 270 698 270Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:.02ex" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.09ex" role="img" focusable="false" viewBox="0 -491 778 482"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\times"><g data-mml-node="mo" data-latex="\times"><path data-c="D7" d="M630 32C630 39 628 44 623 49L422 250 623 451C628 456 630 461 630 468 630 481 620 491 607 491 600 491 595 489 590 484L389 283 188 484C183 489 178 491 171 491 158 491 148 481 148 468 148 461 150 456 155 451L356 250 155 49C150 44 148 39 148 32 148 19 158 9 171 9 178 9 183 11 188 16L389 217 590 16C595 11 600 9 607 9 620 9 630 19 630 32Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.009ex" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.149ex" role="img" focusable="false" viewBox="0 -504 778 508"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\div"><g data-mml-node="mo" data-latex="\div"><path data-c="F7" d="M445 448C445 478 419 504 389 504 358 504 333 479 333 448 333 416 357 392 389 392 420 392 445 417 445 448M698 274 80 274C64 274 56 266 56 250 56 234 64 226 80 226L698 226C714 226 722 234 722 250 722 263 711 274 698 274M445 52C445 82 419 108 389 108 357 108 333 84 333 52 333 21 358-4 389-4 419-4 445 22 445 52Z"></path></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>+</td><td>-</td><td>\times</td><td>\div</td></tr></tbody></table></div><div class="story post-story"><h2 id="幂运算"><a href="#幂运算" class="headerlink" title="幂运算"></a>幂运算</h2><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.025ex" xmlns="http://www.w3.org/2000/svg" width="2.3ex" height="1.553ex" role="img" focusable="false" viewBox="0 -675.5 1016.5 686.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a^x"><g data-mml-node="msup" data-latex="a^x"><g data-mml-node="mi" data-latex="a"><path data-c="1D44E" d="M498 144C498 153 493 158 482 158 474 158 468 151 465 137 445 58 421 18 394 18 377 18 368 32 368 60 368 73 372 97 381 132L438 357C443 376 445 387 445 392 445 412 434 422 412 422 391 422 377 410 370 387 349 424 319 442 281 442 216 442 159 409 109 343 63 281 40 217 40 150 40 63 91-11 175-11 218-11 260 12 300 58 311 20 345-11 392-11 461-11 482 70 498 144M341 374C350 353 355 339 355 330 355 326 354 321 353 314L304 122C301 111 294 99 285 87 248 41 212 18 177 18 138 18 118 48 118 107 118 131 124 167 136 215 157 300 187 357 224 388 244 405 263 413 282 413 309 413 329 400 341 374Z"></path></g><g data-mml-node="mi" transform="translate(562,363) scale(0.707)" data-latex="x"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.025ex" xmlns="http://www.w3.org/2000/svg" width="3.831ex" height="1.553ex" role="img" focusable="false" viewBox="0 -675.5 1693.2 686.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a^{xyz}"><g data-mml-node="msup" data-latex="a^{xyz}"><g data-mml-node="mi" data-latex="a"><path data-c="1D44E" d="M498 144C498 153 493 158 482 158 474 158 468 151 465 137 445 58 421 18 394 18 377 18 368 32 368 60 368 73 372 97 381 132L438 357C443 376 445 387 445 392 445 412 434 422 412 422 391 422 377 410 370 387 349 424 319 442 281 442 216 442 159 409 109 343 63 281 40 217 40 150 40 63 91-11 175-11 218-11 260 12 300 58 311 20 345-11 392-11 461-11 482 70 498 144M341 374C350 353 355 339 355 330 355 326 354 321 353 314L304 122C301 111 294 99 285 87 248 41 212 18 177 18 138 18 118 48 118 107 118 131 124 167 136 215 157 300 187 357 224 388 244 405 263 413 282 413 309 413 329 400 341 374Z"></path></g><g data-mml-node="TeXAtom" transform="translate(562,363) scale(0.707)" data-latex="{x y z}" data-mjx-texclass="ORD"><g data-mml-node="mi" data-latex="x"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g><g data-mml-node="mi" data-latex="y" transform="translate(572,0)"><path data-c="1D466" d="M163 442C118 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316 156 325 167 354 194 368 235 368 249 368 269 363 296 354 320 345 343 340 364 339 308 284 265 244 234 217L145 134C130 119 111 99 90 74 59 35 43 12 43 3 43-6 48-11 59-11 65-11 71-6 78 4 103 43 130 63 158 63 174 63 192 51 212 26 232 1 255-11 278-11 312-11 346 7 382 42 418 77 436 111 436 144 436 153 431 158 420 158 413 158 407 153 402 143 387 100 344 63 288 63 264 63 186 92 162 92Z"></path></g></g></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.491ex" xmlns="http://www.w3.org/2000/svg" width="3.224ex" height="2.398ex" role="img" focusable="false" viewBox="0 -843 1425 1060"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\sqrt{x}"><g data-mml-node="msqrt" data-latex="\sqrt{x}"><g data-mml-node="mo" transform="translate(0,743)"><path data-c="221A" d="M847-2C851 7 853 13 853 16 853 32 845 40 829 40 820 40 813 36 809 27 666-259 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transform="translate(211.8,338.5) scale(0.5)" data-latex="n"><path data-c="1D45B" d="M537 137C514 58 481 18 440 18 427 18 420 28 420 47 420 61 426 84 438 115 478 224 498 296 498 333 498 403 451 442 381 442 322 442 271 416 230 363 222 407 187 442 136 442 80 442 58 390 44 345 34 313 29 294 29 287 29 278 34 273 45 273 50 273 53 274 56 276 61 285 64 292 65 299 83 375 106 413 133 413 151 413 160 399 160 371 160 358 155 331 144 290L87 63C84 50 78 24 78 19 78-1 89-11 111-11 130-11 144-1 151 19 153 24 159 49 170 92L191 181 221 295C232 318 249 341 270 365 299 397 335 413 378 413 411 413 427 391 427 348 427 310 406 234 363 120 356 102 353 87 353 74 353 25 390-11 438-11 482-11 517 14 542 64 561 104 571 131 571 144 571 153 566 158 555 158 552 158 537 149 537 137Z"></path></g><g><g data-mml-node="mi" data-latex="x" transform="translate(853,0)"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g></g><rect width="572" height="60" x="853" y="723"></rect></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>a^x</td><td>a^{xyz}</td><td>\sqrt{x}</td><td>\sqrt[n]{x}</td></tr></tbody></table></div><div class="story post-story"><h2 id="逻辑运算"><a href="#逻辑运算" class="headerlink" title="逻辑运算"></a>逻辑运算</h2><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.21ex" xmlns="http://www.w3.org/2000/svg" width="1.769ex" height="1.548ex" role="img" focusable="false" viewBox="0 -591 782 684"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\oplus"><g data-mml-node="mo" data-latex="\oplus"><path data-c="2295" d="M48 249C48 60 201-93 390-93 579-93 732 60 732 249 732 438 579 591 390 591 201 591 48 438 48 249M684 274 413 274 413 544C557 532 672 417 684 274M94 274C106 417 221 532 365 544L365 274M94 226 365 226 365-46C221-34 105 82 94 226M684 226C673 82 557-34 413-46L413 226Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.045ex" xmlns="http://www.w3.org/2000/svg" width="1.509ex" height="1.405ex" role="img" focusable="false" viewBox="0 -601 667 621"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\vee"><g data-mml-node="mo" data-latex="\vee"><path data-c="2228" d="M357-5 597 568C598 571 599 575 599 578 599 593 591 601 574 601 564 601 557 596 553 587L334 62 114 587C110 596 103 601 93 601 77 601 63 586 71 568L311-5C315-15 323-20 334-20 345-20 353-15 357-5Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.045ex" xmlns="http://www.w3.org/2000/svg" width="1.509ex" height="1.407ex" role="img" focusable="false" viewBox="0 -602 667 622"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\wedge"><g data-mml-node="mo" data-latex="\wedge"><path data-c="2227" d="M574-20C590-20 605-5 597 13L357 586C353 597 345 602 334 602 323 602 315 597 311 586L71 13C70 10 69 6 69 2 69-13 77-20 93-20 103-20 110-15 114-6L334 519 553-6C557-15 564-20 574-20Z"></path></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>\oplus</td><td>\vee</td><td>\wedge</td></tr></tbody></table></div><div class="story post-story"><h2 id="关系运算"><a href="#关系运算" class="headerlink" title="关系运算"></a>关系运算</h2><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:.301ex" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="0.529ex" role="img" focusable="false" viewBox="0 -367 778 234"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="="><g data-mml-node="mo" data-latex="="><path data-c="3D" d="M698 367 80 367C64 367 56 359 56 344 56 329 64 321 80 321L698 321C714 321 722 329 722 344 722 356 711 367 698 367M698 179 80 179C64 179 56 171 56 156 56 141 64 133 80 133L698 133C714 133 722 141 722 156 722 169 711 179 698 179Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.52ex" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="2.172ex" role="img" focusable="false" viewBox="0 -730 778 960"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\not="><g data-mml-node="mo" data-latex="\not="><path data-c="2260" d="M698 178 388 178 440 322 698 322C714 322 722 330 722 346 722 362 714 370 698 370L458 370 576 698C578 701 579 703 579 706 579 722 571 730 555 730 542 730 535 725 532 714L407 370 80 370C64 370 56 362 56 346 56 330 64 322 80 322L390 322 338 178 80 178C64 178 56 170 56 154 56 138 64 130 80 130L320 130 201-198C200-200 200-203 200-206 200-222 208-230 224-230 236-230 243-225 246-214L371 130 698 130C714 130 722 138 722 154 722 166 711 178 698 178Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:.097ex" xmlns="http://www.w3.org/2000/svg" width="1.749ex" height="0.937ex" role="img" focusable="false" viewBox="0 -457 773 414"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\approx"><g data-mml-node="mo" data-latex="\approx"><path data-c="2248" d="M717 432 717 434C717 445 712 450 701 450 694 450 689 446 686 439 679 404 665 377 645 360 612 331 577 317 539 317 510 317 480 328 449 349 392 390 358 413 347 420 304 445 266 457 232 457 125 457 77 382 56 284L56 281C56 271 61 266 72 266 81 266 86 270 88 278 95 313 108 339 128 356 161 385 196 399 235 399 264 399 293 388 324 366 381 326 415 303 426 296 469 271 507 259 541 259 648 259 696 334 717 432M717 216 717 219C717 229 712 234 701 234 694 234 689 230 686 223 679 188 665 162 645 144 612 115 577 101 539 101 510 101 480 112 449 134 392 174 358 197 347 204 304 229 266 241 232 241 125 241 77 166 56 68L56 66C56 55 61 50 72 50 81 50 86 54 88 62 95 97 108 123 128 140 161 169 196 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viewBox="0 -547 778 599"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="<"><g data-mml-node="mo" data-latex="<"><path data-c="3C" d="M666-45C683-52 701-39 701-23 701-13 696-6 687-2L153 250 687 502C696 506 701 513 701 522 701 539 693 547 677 547 673 547 669 546 666 545L92 273C82 268 77 261 77 250 77 239 82 232 92 227Z"></path></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>=</td><td>\not=</td><td>\approx</td><td>></td><td><</td></tr></tbody></table><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:.081ex" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="0.968ex" role="img" focusable="false" viewBox="0 -464 778 428"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\equiv"><g data-mml-node="mo" data-latex="\equiv"><path data-c="2261" d="M698 464 80 464C64 464 56 456 56 440 56 425 64 417 80 417L698 417C714 417 722 425 722 440 722 453 711 464 698 464M698 274 80 274C64 274 56 266 56 250 56 234 64 226 80 226L698 226C714 226 722 234 722 250 722 262 711 274 698 274M698 83 80 83C64 83 56 75 56 60 56 44 64 36 80 36L698 36C714 36 722 44 722 60 722 72 711 83 698 83Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.269ex" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.697ex" role="img" focusable="false" viewBox="0 -631 778 750"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\le"><g data-mml-node="mo" data-latex="\le"><path data-c="2264" d="M668 38C686 29 703 44 703 60 703 69 698 76 689 80L155 333 689 586C698 590 703 597 703 606 703 623 695 631 679 631 675 631 671 630 668 629L94 357C84 352 79 344 79 333 79 322 84 315 94 310M678-72 100-72C84-72 76-80 76-95 76-111 84-119 100-119L678-119C694-119 702-111 702-95 702-83 691-72 678-72Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.269ex" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.697ex" role="img" focusable="false" viewBox="0 -631 778 750"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\ge"><g data-mml-node="mo" data-latex="\ge"><path data-c="2265" d="M684 310C694 315 699 322 699 333 699 344 694 352 684 357L110 629C107 630 103 631 99 631 83 631 75 623 75 606 75 597 80 590 89 586L623 333 89 80C80 76 75 69 75 60 75 43 83 35 99 35 103 35 107 36 110 38M678-72 100-72C84-72 76-80 76-95 76-111 84-119 100-119L678-119C694-119 702-111 702-95 702-83 691-72 678-72Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.106ex" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.36ex" role="img" focusable="false" viewBox="0 -554 1000 601"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\ll"><g data-mml-node="mo" data-latex="\ll"><path data-c="226A" d="M885-44C894-47 901-47 908-44 924-35 924-13 908-3L475 250 908 503C916 508 920 515 920 524 920 540 903 554 884 543L421 273C412 268 408 261 408 250 408 239 412 232 421 227M556-44C565-47 572-47 579-44 595-35 595-13 579-3L147 250 579 503C587 508 591 515 591 524 591 540 574 554 555 543L93 273C84 268 79 260 79 250 79 240 84 232 93 227Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.122ex" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.357ex" role="img" focusable="false" viewBox="0 -546 1000 600"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\gg"><g data-mml-node="mo" data-latex="\gg"><path data-c="226B" d="M907 227C916 232 921 240 921 250 921 260 916 268 907 273L444 544C440 545 436 546 432 546 407 546 401 515 421 503L853 250 421-3C413-8 409-15 409-24 409-40 426-54 445-43M579 227C588 232 592 239 592 250 592 261 588 268 579 273L115 544C111 545 107 546 103 546 78 546 72 515 92 503L525 250 92-3C84-8 80-15 80-24 80-40 97-54 116-43Z"></path></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>\equiv</td><td>\le</td><td>\ge</td><td>\ll</td><td>\gg</td></tr></tbody></table></div><div class="story post-story"><h2 id="集合"><a href="#集合" class="headerlink" title="集合"></a>集合</h2><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.097ex" xmlns="http://www.w3.org/2000/svg" width="1.509ex" height="1.326ex" role="img" focusable="false" viewBox="0 -543 667 586"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\in"><g data-mml-node="mo" data-latex="\in"><path data-c="2208" d="M563 4 373 4C310 4 254 25 208 68 162 111 136 163 130 226L563 226C579 226 587 234 587 250 587 266 579 274 563 274L130 274C136 337 162 389 208 432 254 475 310 496 373 496L563 496C579 496 587 504 587 519 587 535 579 543 563 543L373 543C292 543 223 515 166 458 109 401 81 332 81 250 81 168 109 99 166 42 223-15 292-43 373-43L563-43C579-43 587-35 587-19 587-7 576 4 563 4Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.097ex" xmlns="http://www.w3.org/2000/svg" width="1.509ex" height="1.326ex" role="img" focusable="false" viewBox="0 -543 667 586"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\ni"><g data-mml-node="mo" data-latex="\ni"><path data-c="220B" d="M294-43C375-43 444-15 501 42 558 99 586 169 586 250 586 297 582 331 575 352 564 383 539 419 500 458 443 515 374 543 294 543L104 543C88 543 80 535 80 519 80 504 88 496 104 496L294 496C357 496 412 475 458 432 504 389 531 337 537 274L104 274C88 274 80 266 80 250 80 234 88 226 104 226L537 226C531 163 504 111 458 68 412 25 357 4 294 4L104 4C88 4 80-4 80-19 80-35 88-43 104-43Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.097ex" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.326ex" role="img" focusable="false" viewBox="0 -543 778 586"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\subset"><g data-mml-node="mo" data-latex="\subset"><path data-c="2282" d="M669 4 378 4C309 4 251 28 204 76 156 123 132 181 132 250 132 319 156 377 204 424 251 472 309 496 378 496L669 496C685 496 693 504 693 519 693 535 685 543 669 543L378 543C296 543 227 515 170 458 113 401 85 332 85 250 85 168 113 99 170 42 227-15 296-43 378-43L669-43C685-43 693-35 693-19 693-7 682 4 669 4Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.097ex" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.326ex" role="img" focusable="false" viewBox="0 -543 778 586"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\supset"><g data-mml-node="mo" data-latex="\supset"><path data-c="2283" d="M400-43C482-43 551-15 608 42 665 99 693 168 693 250 693 297 689 331 682 352 671 383 646 418 607 457 550 514 481 543 400 543L109 543C93 543 85 535 85 519 85 504 93 496 109 496L400 496C469 496 526 472 574 424 622 376 646 319 646 250 646 181 622 124 574 76 526 28 469 4 400 4L109 4C93 4 85-4 85-19 85-35 93-43 109-43Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.287ex" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.706ex" role="img" focusable="false" viewBox="0 -627 778 754"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\subseteq"><g data-mml-node="mo" data-latex="\subseteq"><path data-c="2286" d="M669 87 378 87C309 87 252 110 204 158 156 206 132 264 132 333 132 402 156 460 204 508 252 556 309 579 378 579L669 579C685 579 693 587 693 603 693 619 685 627 669 627L378 627C296 627 227 599 170 542 113 485 85 415 85 333 85 251 113 181 170 124 227 67 296 39 378 39L669 39C685 39 693 47 693 63 693 76 682 87 669 87M669-80 130-80C115-80 107-88 107-103 107-119 115-127 130-127L669-127C685-127 693-119 693-103 693-91 682-80 669-80Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.287ex" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.706ex" role="img" focusable="false" viewBox="0 -627 778 754"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\supseteq"><g data-mml-node="mo" data-latex="\supseteq"><path data-c="2287" d="M400 39C482 39 551 67 608 124 665 181 693 251 693 333 693 380 689 415 682 436 671 467 646 502 607 541 550 598 481 627 400 627L109 627C93 627 85 619 85 603 85 587 93 579 109 579L400 579C469 579 526 556 574 508 622 460 646 402 646 333 646 264 622 206 574 158 526 110 469 87 400 87L109 87C93 87 85 79 85 63 85 47 93 39 109 39M648-80 109-80C93-80 85-88 85-103 85-119 93-127 109-127L648-127C663-127 671-119 671-103 671-91 660-80 648-80Z"></path></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>\in</td><td>\ni</td><td>\subset</td><td>\supset</td><td>\subseteq</td><td>\supseteq</td></tr></tbody></table></div><div class="story post-story"><h2 id="存在"><a href="#存在" class="headerlink" title="存在"></a>存在</h2><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:0" xmlns="http://www.w3.org/2000/svg" width="1.258ex" height="1.548ex" role="img" focusable="false" viewBox="0 -684 556 684"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\exists"><g data-mml-node="mi" data-latex="\exists"><path data-c="2203" d="M476 0C492 0 500 8 500 24L500 660C500 676 492 684 476 684L80 684C64 684 56 676 56 660 56 645 64 637 80 637L453 637 453 366 80 366C64 366 56 358 56 342 56 326 64 318 80 318L453 318 453 47 80 47C64 47 56 39 56 24 56 8 64 0 80 0Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:.005ex" xmlns="http://www.w3.org/2000/svg" width="1.507ex" height="1.552ex" role="img" focusable="false" viewBox="0 -688 666 686"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\forall"><g data-mml-node="mi" data-latex="\forall"><path data-c="2200" d="M356 18 620 651C626 666 622 676 607 682 592 688 582 684 576 670L481 441 185 441 89 670C85 679 78 684 68 684 52 684 38 669 46 651L310 18C314 7 322 2 333 2 344 2 352 7 356 18M205 393 461 393 333 85Z"></path></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>\exists</td><td>\forall</td></tr></tbody></table></div><div class="story post-story"><h2 id="希腊字母"><a href="#希腊字母" class="headerlink" title="希腊字母"></a>希腊字母</h2><p>要输入希腊字母只要用反斜杠 <em><strong>\</strong></em> 加上相应字母的拼写即可。大写字母将对应拼写的首字母大写即可，这里仅列出一部分作为参考。</p><table><thead><tr><th>符号（小写）</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.464ex" xmlns="http://www.w3.org/2000/svg" width="1.348ex" height="2.034ex" role="img" focusable="false" viewBox="0 -694 596 899"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\phi"><g data-mml-node="mi" data-latex="\phi"><path data-c="1D719" d="M385 445C404 524 424 601 442 680L442 683C439 690 434 694 426 694 417 694 411 686 408 671L351 445C276 442 208 414 147 362 82 307 49 243 49 170 49 62 132-7 237-13 218-92 204-149 195-183 194-186 194-189 194-190 194-200 199-205 210-205 221-205 224-199 227-187L271-14C346-11 414 17 475 69 540 125 573 189 573 262 573 369 488 436 385 445M377 415C453 410 501 363 501 283 501 243 492 203 474 164 442 92 369 26 278 17M121 149C121 189 130 229 148 268 180 340 253 405 343 415L244 16C169 22 121 69 121 149Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.025ex" xmlns="http://www.w3.org/2000/svg" width="1.407ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 622 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\omega"><g data-mml-node="mi" data-latex="\omega"><path data-c="1D714" d="M505 391C505 380 509 370 517 363 542 342 554 314 554 280 554 267 553 255 550 244 530 168 477 68 396 68 344 68 313 96 303 152 316 179 326 207 333 238 336 249 337 258 337 264 337 284 329 294 314 294 276 294 266 198 264 156 227 97 184 68 133 68 78 68 51 104 51 175 51 195 54 216 59 238 70 282 99 337 146 402 150 407 152 412 152 417 152 430 145 437 130 437 123 437 116 434 110 427 61 360 13 242 13 133 13 37 49-11 121-11 178-11 227 22 270 87 284 22 322-11 383-11 416-11 447 2 475 28 522 72 557 142 581 238 596 299 604 342 604 369 604 398 597 419 583 432 576 439 567 442 558 442 532 442 505 417 505 391Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.025ex" xmlns="http://www.w3.org/2000/svg" width="1.023ex" height="1.636ex" role="img" focusable="false" viewBox="0 -712 452 723"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\delta"><g data-mml-node="mi" data-latex="\delta"><path data-c="1D6FF" d="M452 664C452 679 444 689 428 693 377 706 339 712 315 712 244 712 201 672 201 606 201 567 220 511 259 438 156 412 76 321 51 220 46 199 43 178 43 159 43 121 52 87 71 58 101 12 145-11 202-11 244-11 282 8 317 47 372 110 400 190 400 285 400 346 380 402 339 453L332 462C267 546 235 602 235 630 235 636 236 641 239 645 249 663 265 672 288 671 305 671 326 663 351 648 382 629 401 620 408 620 430 620 452 638 452 664M111 131C111 188 125 243 154 297 185 357 225 395 274 410 296 372 311 333 320 294 323 279 324 262 324 245 324 217 321 191 315 166 290 68 252 19 203 19 146 19 111 66 111 131Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.486ex" xmlns="http://www.w3.org/2000/svg" width="1.229ex" height="1.486ex" role="img" focusable="false" viewBox="0 -442 543 657"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\gamma"><g data-mml-node="mi" data-latex="\gamma"><path data-c="1D6FE" d="M524 378C537 403 543 416 543 417 543 426 538 431 527 431 520 431 515 428 512 422 477 357 436 265 388 146 384 212 371 274 349 331 320 405 275 442 214 442 151 442 96 400 68 361 35 314 18 279 18 257 18 248 26 243 43 243L48 250C65 302 94 335 135 349 163 358 185 363 201 363 305 363 357 281 357 116 357 77 353 45 345 20 311-91 294-162 294-193 294-208 300-215 311-215 323-215 335-194 346-153 363-89 375-32 382 18 385 33 387 46 390 55 426 167 471 275 524 378Z"></path></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>\phi</td><td>\omega</td><td>\delta</td><td>\gamma</td></tr><tr><td>符号（大写）</td><td><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:0" xmlns="http://www.w3.org/2000/svg" width="1.633ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 722 683"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\Phi"><g data-mml-node="mi" data-latex="\Phi"><path data-c="3A6" d="M402 134C467 139 524 159 575 192 635 232 665 282 665 341 665 400 635 450 575 490 524 524 467 544 402 549L402 601C402 614 403 622 406 627 411 638 439 644 492 644L529 644 529 683C502 681 445 680 358 680 270 680 213 681 186 683L186 644 223 644C276 644 305 639 310 628 312 623 313 614 313 601L313 549C249 542 193 522 144 489 85 450 56 401 56 342 56 283 85 234 143 194 192 161 249 141 313 134L313 82C313 69 312 61 310 56 305 45 276 39 223 39L186 39 186 0C213 2 270 3 357 3 445 3 502 2 529 0L529 39 492 39C439 39 411 44 406 55 403 60 402 69 402 82M402 519C506 506 558 447 558 342 558 237 506 178 402 164M313 518 313 165C213 180 163 238 163 341 163 444 213 503 313 518Z"></path></g></g></g></svg></mjx-container></td><td><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:0" xmlns="http://www.w3.org/2000/svg" width="1.633ex" height="1.595ex" role="img" focusable="false" viewBox="0 -705 722 705"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\Omega"><g data-mml-node="mi" data-latex="\Omega"><path data-c="3A9" d="M267 25C267 73 249 147 214 246 181 335 165 404 165 454 165 576 241 675 360 675 479 675 556 576 556 454 556 405 537 328 500 225 469 137 454 70 454 25 454 1 458 0 483 0L644 0 678 168 645 168C639 136 633 111 627 93 623 82 614 76 601 73 598 72 586 72 565 72L491 72C501 110 530 164 578 234 636 321 665 394 665 453 665 528 632 590 567 639 508 683 439 705 361 705 282 705 213 683 154 639 89 591 56 529 56 453 56 395 85 322 143 234 181 178 214 129 230 72L156 72C122 72 102 77 97 86 87 118 80 145 76 168L43 168 77 0 239 0C262 0 267 2 267 25Z"></path></g></g></g></svg></mjx-container></td><td><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:0" xmlns="http://www.w3.org/2000/svg" width="1.885ex" height="1.62ex" role="img" focusable="false" viewBox="0 -716 833 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\Delta"><g data-mml-node="mi" data-latex="\Delta"><path data-c="394" d="M759 0C776 0 785 4 785 13L445 696C438 709 429 716 416 716 403 716 394 709 387 696L52 25C49 18 47 14 47 12 47 4 56 0 73 0M384 604 644 83 124 83Z"></path></g></g></g></svg></mjx-container></td><td><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:0" xmlns="http://www.w3.org/2000/svg" width="1.414ex" height="1.538ex" role="img" focusable="false" viewBox="0 -680 625 680"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\Gamma"><g data-mml-node="mi" data-latex="\Gamma"><path data-c="393" d="M274 641 376 641C443 641 487 626 509 596 538 555 541 520 550 450L583 450 554 680 33 680 33 641 61 641C96 641 117 639 124 634 131 629 135 617 135 599L135 81C135 63 131 51 124 46 117 41 96 39 61 39L33 39 33 0C59 2 110 3 187 3 274 3 330 2 356 0L356 39 320 39C267 39 238 44 233 55 231 60 230 69 230 82L230 606C230 641 236 641 274 641Z"></path></g></g></g></svg></mjx-container></td></tr><tr><td>语法</td><td>\Phi</td><td>\Omega</td><td>\Delta</td><td>\Gamma</td></tr></tbody></table></div><div class="story post-story"><h2 id="箭头"><a href="#箭头" class="headerlink" title="箭头"></a>箭头</h2><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.023ex" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.176ex" role="img" focusable="false" viewBox="0 -510 1000 520"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\gets"><g data-mml-node="mo" data-latex="\gets"><path data-c="2190" d="M918 274 172 274C245 326 289 395 306 482L306 483 307 485C307 502 299 510 283 510 270 510 262 504 259 491 250 444 231 403 203 368 161 316 116 282 68 266 61 263 57 257 57 250 57 243 61 237 68 234 116 218 161 184 203 132 231 97 250 56 259 9 262-4 270-10 283-10 299-10 307-2 307 15L306 17 306 18C289 105 245 174 172 226L918 226C934 226 942 234 942 250 942 263 931 274 918 274Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.023ex" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.176ex" role="img" focusable="false" viewBox="0 -510 1000 520"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\to"><g data-mml-node="mo" data-latex="\to"><path data-c="2192" d="M932 234C939 237 943 243 943 250 943 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520 385 520 375 520 368 516 364 507 338 455 303 410 258 371 196 318 134 283 73 267 65 263 61 257 61 250 61 243 65 237 73 233 134 217 196 182 258 129 303 90 338 45 364-7 368-16 375-20 385-20 401-20 409-12 409 4 409 6 408 9 407 14 384 58 356 97 324 131L916 131C932 131 940 139 940 154 940 167 929 178 916 178Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.045ex" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.222ex" role="img" focusable="false" viewBox="0 -520 1000 540"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\Rightarrow"><g data-mml-node="mo" data-latex="\Rightarrow"><path data-c="21D2" d="M927 233C935 237 939 243 939 250 939 257 935 263 927 267 866 283 804 318 742 371 697 410 662 455 636 507 632 516 625 520 615 520 599 520 591 512 591 496 591 494 592 491 593 486 616 442 644 403 676 369L84 369C68 369 60 361 60 346 60 330 68 322 84 322L728 322C765 292 806 268 849 250 806 232 765 208 728 178L84 178C68 178 60 170 60 154 60 139 68 131 84 131L676 131C644 97 616 58 593 14 592 9 591 6 591 4 591-12 599-20 615-20 625-20 632-16 636-7 662 45 697 90 742 129 804 182 866 217 927 233Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.045ex" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.222ex" role="img" focusable="false" viewBox="0 -520 1000 540"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\Leftrightarrow"><g data-mml-node="mo" data-latex="\Leftrightarrow"><path data-c="21D4" d="M965 233C974 236 978 241 978 250 978 259 974 264 965 267 904 284 842 318 781 371 737 410 702 455 675 507 670 516 663 520 654 520 638 520 630 512 630 496 630 494 631 491 632 486 655 442 683 403 715 369L285 369C317 403 345 442 368 486 369 491 370 494 370 496 370 512 362 520 346 520 337 520 330 516 325 507 298 455 263 410 219 371 158 318 96 284 35 267 26 264 22 259 22 250 22 241 26 236 35 233 96 216 158 182 219 129 263 90 298 45 325-7 330-16 337-20 346-20 362-20 370-12 370 4 370 6 369 9 368 14 345 58 317 97 285 131L715 131C683 97 655 58 632 14 631 9 630 6 630 4 630-12 638-20 654-20 663-20 670-16 675-7 702 45 737 90 781 129 842 182 904 216 965 233M766 322C802 293 842 269 887 250 842 231 802 207 766 178L234 178C198 207 158 231 113 250 158 269 198 293 234 322Z"></path></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>\gets</td><td>\to</td><td>\Leftarrow</td><td>\Rightarrow</td><td>\Leftrightarrow</td></tr></tbody></table></div><div class="story post-story"><h2 id="省略号"><a href="#省略号" class="headerlink" title="省略号"></a>省略号</h2><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:0" xmlns="http://www.w3.org/2000/svg" width="1.894ex" height="0.24ex" role="img" focusable="false" viewBox="0 -106 837 106"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\dots"><g data-mml-node="mo" data-latex="\dots"><path data-c="2026" d="M751 53C751 83 725 106 695 106 664 106 638 83 638 53 638 23 664 0 695 0 725 0 751 23 751 53M475 53C475 83 449 106 419 106 388 106 363 83 363 53 363 23 388 0 419 0 449 0 475 23 475 53M200 53C200 83 174 106 143 106 113 106 87 83 87 53 87 23 113 0 143 0 173 0 200 23 200 53Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:.446ex" xmlns="http://www.w3.org/2000/svg" width="1.756ex" height="0.24ex" role="img" focusable="false" viewBox="0 -303 776 106"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\cdots"><g data-mml-node="mo" data-latex="\cdots"><path data-c="22EF" d="M720 250C720 280 694 303 664 303 633 303 607 280 607 250 607 220 633 197 664 197 694 197 720 220 720 250M444 250C444 280 418 303 388 303 357 303 332 280 332 250 332 220 357 197 388 197 418 197 444 220 444 250M169 250C169 280 143 303 112 303 82 303 56 280 56 250 56 220 82 197 112 197 142 197 169 220 169 250Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.186ex" xmlns="http://www.w3.org/2000/svg" width="0.493ex" height="1.502ex" role="img" focusable="false" viewBox="0 -582 218 664"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\vdots"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mo" data-latex="\vdots"><path data-c="22EE" d="M162 526C162 556 139 582 109 582 79 582 56 556 56 526 56 495 79 469 109 469 139 469 162 496 162 526M162 250C162 280 139 306 109 306 79 306 56 281 56 250 56 219 79 194 109 194 139 194 162 220 162 250M162-26C162 5 139 31 109 31 79 31 56 5 56-26 56-56 79-82 109-82 139-82 162-56 162-26Z"></path></g></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:0" xmlns="http://www.w3.org/2000/svg" width="1.387ex" height="1.131ex" role="img" focusable="false" viewBox="0 -500 613 500"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\ddots"><g data-mml-node="mo" data-latex="\ddots"><path data-c="22F1" d="M557 56C557 87 532 112 501 112 469 112 445 88 445 56 445 25 470 0 501 0 533 0 557 24 557 56M169 444C169 474 143 500 113 500 81 500 57 476 57 444 57 413 82 388 113 388 145 388 169 412 169 444M363 250C363 280 337 306 307 306 277 306 251 280 251 250 251 220 277 194 307 194 337 194 363 220 363 250Z"></path></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>\dots</td><td>\cdots</td><td>\vdots</td><td>\ddots</td></tr></tbody></table></div><div class="story post-story"><h2 id="头顶符号"><a href="#头顶符号" class="headerlink" title="头顶符号"></a>头顶符号</h2><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.025ex" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.894ex" role="img" focusable="false" viewBox="0 -826 572 837"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\hat{x}"><g data-mml-node="TeXAtom" data-latex="\hat{x}" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi" data-latex="x"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g><g data-mml-node="mo" transform="translate(329,32) translate(-250 0)"><path data-c="2C6" d="M386 515 403 533 250 694 97 533 114 515 250 618Z"></path></g></g></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.025ex" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.559ex" role="img" focusable="false" viewBox="0 -678 572 689"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\bar{x}"><g data-mml-node="TeXAtom" data-latex="\bar{x}" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi" data-latex="x"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g><g data-mml-node="mo" transform="translate(329,-42) translate(-250 0)"><path data-c="AF" d="M70 589 431 589 431 620 70 620Z"></path></g></g></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.025ex" xmlns="http://www.w3.org/2000/svg" width="1.342ex" height="1.919ex" role="img" focusable="false" viewBox="0 -837 593 848"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\vec{x}"><g data-mml-node="TeXAtom" data-latex="\vec{x}" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi" data-latex="x"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g><g data-mml-node="mo" transform="translate(593,26)"><path data-c="20D7" d="M-69 599C-60 602-56 607-56 616-56 625-60 630-69 633-105 645-131 667-147 700-150 707-156 711-163 711-176 711-182 705-182 693-182 678-169 658-143 634L-453 634C-466 634-472 628-472 616-472 604-466 598-453 598L-143 598C-169 574-182 554-182 539-182 527-176 521-163 521-156 521-150 525-147 532-131 565-105 587-69 599Z"></path></g></g></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.025ex" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.729ex" role="img" focusable="false" viewBox="0 -753 572 764"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\dot{x}"><g data-mml-node="TeXAtom" data-latex="\dot{x}" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi" data-latex="x"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g><g data-mml-node="mo" transform="translate(329,-4) translate(-139 0)"><path data-c="2D9" d="M192 604C192 633 168 657 139 657 110 657 85 633 85 604 85 575 109 551 138 551 167 551 192 575 192 604Z"></path></g></g></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.025ex" xmlns="http://www.w3.org/2000/svg" width="1.294ex" height="1.704ex" role="img" focusable="false" viewBox="0 -742 572 753"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\ddot{x}"><g data-mml-node="TeXAtom" data-latex="\ddot{x}" data-mjx-texclass="ORD"><g data-mml-node="mover"><g data-mml-node="mi" data-latex="x"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g><g data-mml-node="mo" transform="translate(329,-10) translate(-250 0)"><path data-c="A8" d="M388 605C388 631 363 652 337 652 311 652 286 631 286 605 286 579 310 557 336 557 365 557 388 577 388 605M215 605C215 631 191 652 165 652 138 652 113 632 113 605 113 578 137 557 164 557 192 557 215 577 215 605Z"></path></g></g></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>\hat{x}</td><td>\bar{x}</td><td>\vec{x}</td><td>\dot{x}</td><td>\ddot{x}</td></tr></tbody></table></div><div class="story post-story"><h2 id="标准括号"><a href="#标准括号" class="headerlink" title="标准括号"></a>标准括号</h2><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.561ex" xmlns="http://www.w3.org/2000/svg" width="0.88ex" height="2.253ex" role="img" focusable="false" viewBox="0 -748 389 996"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="("><g data-mml-node="mo" data-latex="("><path data-c="28" d="M318-248C327-248 332-243 332-234 332-231 330-227 327-223 275-183 233-117 202-26 175 53 161 131 161 208L161 292C161 369 175 447 202 526 233 617 275 683 327 723 330 726 332 730 332 734 332 743 327 748 318 748 317 748 314 747 311 745 251 699 201 631 160 540 121 453 101 371 101 292L101 208C101 129 121 47 160-40 201-131 251-199 311-245 314-247 317-248 318-248Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.561ex" xmlns="http://www.w3.org/2000/svg" width="0.88ex" height="2.253ex" role="img" focusable="false" viewBox="0 -748 389 996"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex=")"><g data-mml-node="mo" data-latex=")"><path data-c="29" d="M78-245C138-199 188-131 229-40 268 47 288 129 288 208L288 292C288 371 268 453 229 540 188 631 138 699 78 745 75 747 72 748 71 748 62 748 57 743 57 734 57 730 59 726 62 723 114 683 156 617 187 526 214 447 228 369 228 292L228 208C228 131 214 53 187-26 156-117 114-183 62-223 59-227 57-231 57-234 57-243 62-248 71-248 72-248 75-247 78-245Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="0.629ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 278 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="["><g data-mml-node="mo" data-latex="["><path data-c="5B" d="M233-202 159-202 159 702 233 702C248 702 256 710 256 726 256 742 248 750 233 750L114 750 114-250 233-250C248-250 256-242 256-226 256-214 245-202 233-202Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="0.629ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 278 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="] "><g data-mml-node="mo" data-latex="] "><path data-c="5D" d="M45-250 164-250 164 750 45 750C30 750 22 742 22 726 22 710 30 702 45 702L119 702 119-202 45-202C30-202 22-210 22-226 22-242 30-250 45-250Z"></path></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>(</td><td>)</td><td>[</td><td>]</td></tr></tbody></table></div><div class="story post-story"><h2 id="取整括号（函数）"><a href="#取整括号（函数）" class="headerlink" title="取整括号（函数）"></a>取整括号（函数）</h2><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="1.005ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 444 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\lfloor"><g data-mml-node="mo" data-latex="\lfloor"><path data-c="230A" d="M393-202 220-202 220 726C220 742 212 750 197 750 182 750 174 742 174 726L174-250 393-250C408-250 416-242 416-226 416-214 405-202 393-202Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="1.005ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 444 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\rfloor"><g data-mml-node="mo" data-latex="\rfloor"><path data-c="230B" d="M51-250 270-250 270 726C270 742 262 750 247 750 232 750 224 742 224 726L224-202 51-202C36-202 28-210 28-226 28-242 36-250 51-250Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="1.005ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 444 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\lceil"><g data-mml-node="mo" data-latex="\lceil"><path data-c="2308" d="M393 750 174 750 174-226C174-242 182-250 197-250 212-250 220-242 220-226L220 702 393 702C408 702 416 710 416 726 416 739 405 750 393 750Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="1.005ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 444 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\rceil"><g data-mml-node="mo" data-latex="\rceil"><path data-c="2309" d="M247-250C262-250 270-242 270-226L270 750 51 750C36 750 28 742 28 726 28 710 36 702 51 702L224 702 224-226C224-242 232-250 247-250Z"></path></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>\lfloor</td><td>\rfloor</td><td>\lceil</td><td>\rceil</td></tr></tbody></table></div><div class="story post-story"><h2 id="空格"><a href="#空格" class="headerlink" title="空格"></a>空格</h2><p>LaTex 默认会忽略掉空格，要显示空格的话需要自己用命令输入（mu 是一个数学单位）。</p><table><thead><tr><th>效果</th><th>说明</th><th>语法</th></tr></thead><tbody><tr><td><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 529 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a\quad bb"><g data-mml-node="mi" data-latex="a"><path data-c="1D44E" d="M498 144C498 153 493 158 482 158 474 158 468 151 465 137 445 58 421 18 394 18 377 18 368 32 368 60 368 73 372 97 381 132L438 357C443 376 445 387 445 392 445 412 434 422 412 422 391 422 377 410 370 387 349 424 319 442 281 442 216 442 159 409 109 343 63 281 40 217 40 150 40 63 91-11 175-11 218-11 260 12 300 58 311 20 345-11 392-11 461-11 482 70 498 144M341 374C350 353 355 339 355 330 355 326 354 321 353 314L304 122C301 111 294 99 285 87 248 41 212 18 177 18 138 18 118 48 118 107 118 131 124 167 136 215 157 300 187 357 224 388 244 405 263 413 282 413 309 413 329 400 341 374Z"></path></g><g data-mml-node="mspace" data-latex="\quad" transform="translate(529,0)"></g></g></g></svg><mjx-break size="0"></mjx-break><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="4.204ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1858 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a\quad bb"><g data-mml-node="mspace" data-latex="\quad"></g><g data-mml-node="mi" data-latex="b" transform="translate(1000,0)"><path data-c="1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694 193 694 120 685 107 684 92 682 84 675 84 660 84 650 93 645 112 645 131 645 157 646 157 632 157 628 152 608 143 571L63 249C52 207 47 173 47 148 47 62 93-11 175-11 240-11 297 22 347 89 392 151 415 216 415 283 415 370 364 445 281 445M279 415C318 415 337 385 337 326 337 299 331 263 319 218 297 133 268 75 233 44 213 27 194 19 175 19 134 19 114 51 114 115 114 137 119 170 129 214L151 304C154 319 159 330 165 338 204 389 242 415 279 415Z"></path></g><g data-mml-node="mi" data-latex="b" transform="translate(1429,0)"><path data-c="1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694 193 694 120 685 107 684 92 682 84 675 84 660 84 650 93 645 112 645 131 645 157 646 157 632 157 628 152 608 143 571L63 249C52 207 47 173 47 148 47 62 93-11 175-11 240-11 297 22 347 89 392 151 415 216 415 283 415 370 364 445 281 445M279 415C318 415 337 385 337 326 337 299 331 263 319 218 297 133 268 75 233 44 213 27 194 19 175 19 134 19 114 51 114 115 114 137 119 170 129 214L151 304C154 319 159 330 165 338 204 389 242 415 279 415Z"></path></g></g></g></svg></mjx-container></td><td>空格宽度是当前字宽 (18mu)</td><td>\quad</td></tr><tr><td><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 529 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a\\,bb"><g data-mml-node="mi" data-latex="a"><path data-c="1D44E" d="M498 144C498 153 493 158 482 158 474 158 468 151 465 137 445 58 421 18 394 18 377 18 368 32 368 60 368 73 372 97 381 132L438 357C443 376 445 387 445 392 445 412 434 422 412 422 391 422 377 410 370 387 349 424 319 442 281 442 216 442 159 409 109 343 63 281 40 217 40 150 40 63 91-11 175-11 218-11 260 12 300 58 311 20 345-11 392-11 461-11 482 70 498 144M341 374C350 353 355 339 355 330 355 326 354 321 353 314L304 122C301 111 294 99 285 87 248 41 212 18 177 18 138 18 118 48 118 107 118 131 124 167 136 215 157 300 187 357 224 388 244 405 263 413 282 413 309 413 329 400 341 374Z"></path></g><g data-mml-node="mspace" data-latex="\\" transform="translate(529,0)"></g></g></g></svg><mjx-break prebreak="true"></mjx-break><mjx-break newline="true"></mjx-break><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="2.947ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1302.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a\\,bb"><g data-mml-node="mspace" data-latex="\\"></g><g data-mml-node="mo" data-latex=","><path data-c="2C" d="M139 106C107 106 86 82 86 50 86 20 109-5 139-5 153-5 165-1 174 8L175 0C175-63 154-117 112-160 105-168 101-174 101-178 101-188 105-193 114-193 123-193 135-181 152-158 186-110 203-57 203 0 203 53 185 106 139 106Z"></path></g><g data-mml-node="mi" data-latex="b" transform="translate(444.7,0)"><path data-c="1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694 193 694 120 685 107 684 92 682 84 675 84 660 84 650 93 645 112 645 131 645 157 646 157 632 157 628 152 608 143 571L63 249C52 207 47 173 47 148 47 62 93-11 175-11 240-11 297 22 347 89 392 151 415 216 415 283 415 370 364 445 281 445M279 415C318 415 337 385 337 326 337 299 331 263 319 218 297 133 268 75 233 44 213 27 194 19 175 19 134 19 114 51 114 115 114 137 119 170 129 214L151 304C154 319 159 330 165 338 204 389 242 415 279 415Z"></path></g><g data-mml-node="mi" data-latex="b" transform="translate(873.7,0)"><path data-c="1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694 193 694 120 685 107 684 92 682 84 675 84 660 84 650 93 645 112 645 131 645 157 646 157 632 157 628 152 608 143 571L63 249C52 207 47 173 47 148 47 62 93-11 175-11 240-11 297 22 347 89 392 151 415 216 415 283 415 370 364 445 281 445M279 415C318 415 337 385 337 326 337 299 331 263 319 218 297 133 268 75 233 44 213 27 194 19 175 19 134 19 114 51 114 115 114 137 119 170 129 214L151 304C154 319 159 330 165 338 204 389 242 415 279 415Z"></path></g></g></g></svg></mjx-container></td><td>空格宽度是 3mu</td><td>\,</td></tr><tr><td><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 529 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a\\:bb"><g data-mml-node="mi" data-latex="a"><path data-c="1D44E" d="M498 144C498 153 493 158 482 158 474 158 468 151 465 137 445 58 421 18 394 18 377 18 368 32 368 60 368 73 372 97 381 132L438 357C443 376 445 387 445 392 445 412 434 422 412 422 391 422 377 410 370 387 349 424 319 442 281 442 216 442 159 409 109 343 63 281 40 217 40 150 40 63 91-11 175-11 218-11 260 12 300 58 311 20 345-11 392-11 461-11 482 70 498 144M341 374C350 353 355 339 355 330 355 326 354 321 353 314L304 122C301 111 294 99 285 87 248 41 212 18 177 18 138 18 118 48 118 107 118 131 124 167 136 215 157 300 187 357 224 388 244 405 263 413 282 413 309 413 329 400 341 374Z"></path></g><g data-mml-node="mspace" data-latex="\\" transform="translate(529,0)"></g></g></g></svg><mjx-break prebreak="true"></mjx-break><mjx-break newline="true"></mjx-break><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="3.199ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1413.8 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a\\:bb"><g data-mml-node="mspace" data-latex="\\"></g><g data-mml-node="mo" data-latex=":"><path data-c="3A" d="M192 375C192 405 169 431 139 431 109 431 86 405 86 375 86 345 109 319 139 319 169 319 192 345 192 375M192 56C192 86 169 112 139 112 109 112 86 86 86 56 86 26 109 0 139 0 169 0 192 26 192 56Z"></path></g><g data-mml-node="mi" data-latex="b" transform="translate(555.8,0)"><path data-c="1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694 193 694 120 685 107 684 92 682 84 675 84 660 84 650 93 645 112 645 131 645 157 646 157 632 157 628 152 608 143 571L63 249C52 207 47 173 47 148 47 62 93-11 175-11 240-11 297 22 347 89 392 151 415 216 415 283 415 370 364 445 281 445M279 415C318 415 337 385 337 326 337 299 331 263 319 218 297 133 268 75 233 44 213 27 194 19 175 19 134 19 114 51 114 115 114 137 119 170 129 214L151 304C154 319 159 330 165 338 204 389 242 415 279 415Z"></path></g><g data-mml-node="mi" data-latex="b" transform="translate(984.8,0)"><path data-c="1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694 193 694 120 685 107 684 92 682 84 675 84 660 84 650 93 645 112 645 131 645 157 646 157 632 157 628 152 608 143 571L63 249C52 207 47 173 47 148 47 62 93-11 175-11 240-11 297 22 347 89 392 151 415 216 415 283 415 370 364 445 281 445M279 415C318 415 337 385 337 326 337 299 331 263 319 218 297 133 268 75 233 44 213 27 194 19 175 19 134 19 114 51 114 115 114 137 119 170 129 214L151 304C154 319 159 330 165 338 204 389 242 415 279 415Z"></path></g></g></g></svg></mjx-container></td><td>空格宽度是 4mu</td><td>\:</td></tr><tr><td><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 529 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a\\;bb"><g data-mml-node="mi" data-latex="a"><path data-c="1D44E" d="M498 144C498 153 493 158 482 158 474 158 468 151 465 137 445 58 421 18 394 18 377 18 368 32 368 60 368 73 372 97 381 132L438 357C443 376 445 387 445 392 445 412 434 422 412 422 391 422 377 410 370 387 349 424 319 442 281 442 216 442 159 409 109 343 63 281 40 217 40 150 40 63 91-11 175-11 218-11 260 12 300 58 311 20 345-11 392-11 461-11 482 70 498 144M341 374C350 353 355 339 355 330 355 326 354 321 353 314L304 122C301 111 294 99 285 87 248 41 212 18 177 18 138 18 118 48 118 107 118 131 124 167 136 215 157 300 187 357 224 388 244 405 263 413 282 413 309 413 329 400 341 374Z"></path></g><g data-mml-node="mspace" data-latex="\\" transform="translate(529,0)"></g></g></g></svg><mjx-break prebreak="true"></mjx-break><mjx-break newline="true"></mjx-break><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="2.947ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1302.7 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a\\;bb"><g data-mml-node="mspace" data-latex="\\"></g><g data-mml-node="mo" data-latex=";"><path data-c="3B" d="M192 375C192 405 169 431 139 431 109 431 86 405 86 375 86 344 109 318 139 318 169 318 192 345 192 375M86 54C86 22 107-2 139-2 150-2 160 1 167 5 166-61 146-117 108-163 103-169 101-174 101-178 101-188 105-193 114-193 119-193 128-185 141-168 177-121 195-64 195 4 195 75 176 110 139 110 107 110 86 86 86 54Z"></path></g><g data-mml-node="mi" data-latex="b" transform="translate(444.7,0)"><path data-c="1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694 193 694 120 685 107 684 92 682 84 675 84 660 84 650 93 645 112 645 131 645 157 646 157 632 157 628 152 608 143 571L63 249C52 207 47 173 47 148 47 62 93-11 175-11 240-11 297 22 347 89 392 151 415 216 415 283 415 370 364 445 281 445M279 415C318 415 337 385 337 326 337 299 331 263 319 218 297 133 268 75 233 44 213 27 194 19 175 19 134 19 114 51 114 115 114 137 119 170 129 214L151 304C154 319 159 330 165 338 204 389 242 415 279 415Z"></path></g><g data-mml-node="mi" data-latex="b" transform="translate(873.7,0)"><path data-c="1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694 193 694 120 685 107 684 92 682 84 675 84 660 84 650 93 645 112 645 131 645 157 646 157 632 157 628 152 608 143 571L63 249C52 207 47 173 47 148 47 62 93-11 175-11 240-11 297 22 347 89 392 151 415 216 415 283 415 370 364 445 281 445M279 415C318 415 337 385 337 326 337 299 331 263 319 218 297 133 268 75 233 44 213 27 194 19 175 19 134 19 114 51 114 115 114 137 119 170 129 214L151 304C154 319 159 330 165 338 204 389 242 415 279 415Z"></path></g></g></g></svg></mjx-container></td><td>空格宽度是 5mu</td><td>\;</td></tr><tr><td><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 529 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a\\!bb"><g data-mml-node="mi" data-latex="a"><path data-c="1D44E" d="M498 144C498 153 493 158 482 158 474 158 468 151 465 137 445 58 421 18 394 18 377 18 368 32 368 60 368 73 372 97 381 132L438 357C443 376 445 387 445 392 445 412 434 422 412 422 391 422 377 410 370 387 349 424 319 442 281 442 216 442 159 409 109 343 63 281 40 217 40 150 40 63 91-11 175-11 218-11 260 12 300 58 311 20 345-11 392-11 461-11 482 70 498 144M341 374C350 353 355 339 355 330 355 326 354 321 353 314L304 122C301 111 294 99 285 87 248 41 212 18 177 18 138 18 118 48 118 107 118 131 124 167 136 215 157 300 187 357 224 388 244 405 263 413 282 413 309 413 329 400 341 374Z"></path></g><g data-mml-node="mspace" data-latex="\\" transform="translate(529,0)"></g></g></g></svg><mjx-break prebreak="true"></mjx-break><mjx-break newline="true"></mjx-break><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="2.57ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1136 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a\\!bb"><g data-mml-node="mspace" data-latex="\\"></g><g data-mml-node="mo" data-latex="!"><path data-c="21" d="M139 716C110 716 83 691 86 661L122 211C123 194 129 185 139 185 149 185 155 193 156 210L192 661C195 691 168 716 139 716M192 56C192 87 169 113 139 113 109 113 86 87 86 56 86 26 109 0 139 0 169 0 192 26 192 56Z"></path></g><g data-mml-node="mi" data-latex="b" transform="translate(278,0)"><path data-c="1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694 193 694 120 685 107 684 92 682 84 675 84 660 84 650 93 645 112 645 131 645 157 646 157 632 157 628 152 608 143 571L63 249C52 207 47 173 47 148 47 62 93-11 175-11 240-11 297 22 347 89 392 151 415 216 415 283 415 370 364 445 281 445M279 415C318 415 337 385 337 326 337 299 331 263 319 218 297 133 268 75 233 44 213 27 194 19 175 19 134 19 114 51 114 115 114 137 119 170 129 214L151 304C154 319 159 330 165 338 204 389 242 415 279 415Z"></path></g><g data-mml-node="mi" data-latex="b" transform="translate(707,0)"><path data-c="1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694 193 694 120 685 107 684 92 682 84 675 84 660 84 650 93 645 112 645 131 645 157 646 157 632 157 628 152 608 143 571L63 249C52 207 47 173 47 148 47 62 93-11 175-11 240-11 297 22 347 89 392 151 415 216 415 283 415 370 364 445 281 445M279 415C318 415 337 385 337 326 337 299 331 263 319 218 297 133 268 75 233 44 213 27 194 19 175 19 134 19 114 51 114 115 114 137 119 170 129 214L151 304C154 319 159 330 165 338 204 389 242 415 279 415Z"></path></g></g></g></svg></mjx-container></td><td>空格宽度是 - 3mu (向左缩)</td><td>\!</td></tr><tr><td><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 529 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a\\ bb"><g data-mml-node="mi" data-latex="a"><path data-c="1D44E" d="M498 144C498 153 493 158 482 158 474 158 468 151 465 137 445 58 421 18 394 18 377 18 368 32 368 60 368 73 372 97 381 132L438 357C443 376 445 387 445 392 445 412 434 422 412 422 391 422 377 410 370 387 349 424 319 442 281 442 216 442 159 409 109 343 63 281 40 217 40 150 40 63 91-11 175-11 218-11 260 12 300 58 311 20 345-11 392-11 461-11 482 70 498 144M341 374C350 353 355 339 355 330 355 326 354 321 353 314L304 122C301 111 294 99 285 87 248 41 212 18 177 18 138 18 118 48 118 107 118 131 124 167 136 215 157 300 187 357 224 388 244 405 263 413 282 413 309 413 329 400 341 374Z"></path></g><g data-mml-node="mspace" data-latex="\\" transform="translate(529,0)"></g></g></g></svg><mjx-break prebreak="true"></mjx-break><mjx-break newline="true"></mjx-break><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="1.941ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 858 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a\\ bb"><g data-mml-node="mspace" data-latex="\\"></g><g data-mml-node="mi" data-latex="b"><path data-c="1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694 193 694 120 685 107 684 92 682 84 675 84 660 84 650 93 645 112 645 131 645 157 646 157 632 157 628 152 608 143 571L63 249C52 207 47 173 47 148 47 62 93-11 175-11 240-11 297 22 347 89 392 151 415 216 415 283 415 370 364 445 281 445M279 415C318 415 337 385 337 326 337 299 331 263 319 218 297 133 268 75 233 44 213 27 194 19 175 19 134 19 114 51 114 115 114 137 119 170 129 214L151 304C154 319 159 330 165 338 204 389 242 415 279 415Z"></path></g><g data-mml-node="mi" data-latex="b" transform="translate(429,0)"><path data-c="1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694 193 694 120 685 107 684 92 682 84 675 84 660 84 650 93 645 112 645 131 645 157 646 157 632 157 628 152 608 143 571L63 249C52 207 47 173 47 148 47 62 93-11 175-11 240-11 297 22 347 89 392 151 415 216 415 283 415 370 364 445 281 445M279 415C318 415 337 385 337 326 337 299 331 263 319 218 297 133 268 75 233 44 213 27 194 19 175 19 134 19 114 51 114 115 114 137 119 170 129 214L151 304C154 319 159 330 165 338 204 389 242 415 279 415Z"></path></g></g></g></svg></mjx-container></td><td>空格宽度是标准空格键效果</td><td>在 \ 后面敲一个空格</td></tr><tr><td><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="1.197ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 529 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a\qquad bb"><g data-mml-node="mi" data-latex="a"><path data-c="1D44E" d="M498 144C498 153 493 158 482 158 474 158 468 151 465 137 445 58 421 18 394 18 377 18 368 32 368 60 368 73 372 97 381 132L438 357C443 376 445 387 445 392 445 412 434 422 412 422 391 422 377 410 370 387 349 424 319 442 281 442 216 442 159 409 109 343 63 281 40 217 40 150 40 63 91-11 175-11 218-11 260 12 300 58 311 20 345-11 392-11 461-11 482 70 498 144M341 374C350 353 355 339 355 330 355 326 354 321 353 314L304 122C301 111 294 99 285 87 248 41 212 18 177 18 138 18 118 48 118 107 118 131 124 167 136 215 157 300 187 357 224 388 244 405 263 413 282 413 309 413 329 400 341 374Z"></path></g><g data-mml-node="mspace" data-latex="\qquad" transform="translate(529,0)"></g></g></g></svg><mjx-break size="0"></mjx-break><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="6.466ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2858 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a\qquad bb"><g data-mml-node="mspace" data-latex="\qquad"></g><g data-mml-node="mi" data-latex="b" transform="translate(2000,0)"><path data-c="1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694 193 694 120 685 107 684 92 682 84 675 84 660 84 650 93 645 112 645 131 645 157 646 157 632 157 628 152 608 143 571L63 249C52 207 47 173 47 148 47 62 93-11 175-11 240-11 297 22 347 89 392 151 415 216 415 283 415 370 364 445 281 445M279 415C318 415 337 385 337 326 337 299 331 263 319 218 297 133 268 75 233 44 213 27 194 19 175 19 134 19 114 51 114 115 114 137 119 170 129 214L151 304C154 319 159 330 165 338 204 389 242 415 279 415Z"></path></g><g data-mml-node="mi" data-latex="b" transform="translate(2429,0)"><path data-c="1D44F" d="M281 445C245 445 209 428 174 394L243 679C241 688 238 694 226 694 193 694 120 685 107 684 92 682 84 675 84 660 84 650 93 645 112 645 131 645 157 646 157 632 157 628 152 608 143 571L63 249C52 207 47 173 47 148 47 62 93-11 175-11 240-11 297 22 347 89 392 151 415 216 415 283 415 370 364 445 281 445M279 415C318 415 337 385 337 326 337 299 331 263 319 218 297 133 268 75 233 44 213 27 194 19 175 19 134 19 114 51 114 115 114 137 119 170 129 214L151 304C154 319 159 330 165 338 204 389 242 415 279 415Z"></path></g></g></g></svg></mjx-container></td><td>空格宽度是 36mu</td><td>\qquad</td></tr></tbody></table></div><div class="story post-story"><h2 id="上标与下标"><a href="#上标与下标" class="headerlink" title="上标与下标"></a>上标与下标</h2><p>使用 <strong>^</strong> 和 <strong>_</strong> 来表示上下标，使用 <strong>{}</strong> 来限定上下标的所属关系，下面是一些使用示例。</p><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.025ex" xmlns="http://www.w3.org/2000/svg" width="2.034ex" height="1.904ex" role="img" focusable="false" viewBox="0 -830.4 899 841.4"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="x^i"><g data-mml-node="msup" data-latex="x^i"><g data-mml-node="mi" data-latex="x"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g><g data-mml-node="mi" transform="translate(605,363) scale(0.707)" data-latex="i"><path data-c="1D456" d="M284 621C284 648 271 661 244 661 216 661 188 633 188 605 188 578 202 565 229 565 257 565 284 593 284 621M259 138C237 59 205 19 164 19 151 19 144 28 144 47 144 64 173 150 232 306 240 329 244 347 244 360 244 409 210 445 161 445 118 445 84 420 59 369 39 328 29 301 29 288 29 279 34 275 45 275 58 275 60 281 64 295 87 375 118 415 158 415 171 415 178 406 178 387 178 373 175 357 168 338 145 275 121 208 101 155 86 115 78 88 78 74 78 25 114-11 162-11 205-11 239 14 264 64 283 103 293 130 293 145 293 154 288 159 277 159 274 159 259 150 259 138Z"></path></g></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.357ex" xmlns="http://www.w3.org/2000/svg" width="1.937ex" height="1.357ex" role="img" focusable="false" viewBox="0 -442 856 599.8"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="a_i"><g data-mml-node="msub" data-latex="a_i"><g data-mml-node="mi" data-latex="a"><path data-c="1D44E" d="M498 144C498 153 493 158 482 158 474 158 468 151 465 137 445 58 421 18 394 18 377 18 368 32 368 60 368 73 372 97 381 132L438 357C443 376 445 387 445 392 445 412 434 422 412 422 391 422 377 410 370 387 349 424 319 442 281 442 216 442 159 409 109 343 63 281 40 217 40 150 40 63 91-11 175-11 218-11 260 12 300 58 311 20 345-11 392-11 461-11 482 70 498 144M341 374C350 353 355 339 355 330 355 326 354 321 353 314L304 122C301 111 294 99 285 87 248 41 212 18 177 18 138 18 118 48 118 107 118 131 124 167 136 215 157 300 187 357 224 388 244 405 263 413 282 413 309 413 329 400 341 374Z"></path></g><g data-mml-node="mi" 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overflow="overflow"><svg style="vertical-align:-.025ex" xmlns="http://www.w3.org/2000/svg" width="2.851ex" height="2.175ex" role="img" focusable="false" viewBox="0 -950.2 1260.2 961.2"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="x^{a^i}"><g data-mml-node="msup" data-latex="x^{a^i}"><g data-mml-node="mi" data-latex="x"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 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301 29 288 29 279 34 275 45 275 58 275 60 281 64 295 87 375 118 415 158 415 171 415 178 406 178 387 178 373 175 357 168 338 145 275 121 208 101 155 86 115 78 88 78 74 78 25 114-11 162-11 205-11 239 14 264 64 283 103 293 130 293 145 293 154 288 159 277 159 274 159 259 150 259 138Z"></path></g></g><g data-mml-node="mo" transform="translate(0,644)"><svg width="2525.4" height="240" x="0" y="130" viewBox="631.4 130 2525.4 240"><path data-c="2015" d="M1072 270 80 270C64 270 56 263 56 250 56 237 64 230 80 230L1072 230C1088 230 1096 237 1096 250 1096 262 1084 270 1072 270Z" transform="scale(3.288,1)"></path></svg></g></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-1.188ex" xmlns="http://www.w3.org/2000/svg" width="3.459ex" height="2.188ex" role="img" focusable="false" viewBox="0 -442 1529 967"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" 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325 167 354 194 368 235 368 249 368 269 363 296 354 320 345 343 340 364 339 308 284 265 244 234 217L145 134C130 119 111 99 90 74 59 35 43 12 43 3 43-6 48-11 59-11 65-11 71-6 78 4 103 43 130 63 158 63 174 63 192 51 212 26 232 1 255-11 278-11 312-11 346 7 382 42 418 77 436 111 436 144 436 153 431 158 420 158 413 158 407 153 402 143 387 100 344 63 288 63 264 63 186 92 162 92Z"></path></g></g><g data-mml-node="mo" transform="translate(0,-655)"><svg width="1529" height="240" x="0" y="130" viewBox="382.3 130 1529 240"><path data-c="2015" d="M1072 270 80 270C64 270 56 263 56 250 56 237 64 230 80 230L1072 230C1088 230 1096 237 1096 250 1096 262 1084 270 1072 270Z" transform="scale(1.991,1)"></path></svg></g></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>\overline{a+bi}</td><td>\underline{xyz}</td></tr></tbody></table></div><div class="story post-story"><h2 id="分式"><a href="#分式" class="headerlink" title="分式"></a>分式</h2><p>分式有两种尺寸表示，分别用 <strong>frac</strong> 和 <strong>dfrac</strong> 关键字表示</p><table><thead><tr><th>尺寸</th><th>较小</th><th>较小</th><th>适中</th><th>适中</th></tr></thead><tbody><tr><td>符号</td><td><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.781ex" xmlns="http://www.w3.org/2000/svg" width="1.795ex" height="2.737ex" role="img" focusable="false" viewBox="0 -864.9 793.6 1209.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\frac{1}{2}"><g data-mml-node="mfrac" data-latex="\frac{1}{2}"><g data-mml-node="mn" transform="translate(220,394) scale(0.707)" data-latex="1"><path data-c="31" d="M269 666C228 624 168 603 89 603L89 564C141 564 184 572 217 588L217 82C217 64 213 52 204 47 195 42 170 39 130 39L95 39 95 0C120 2 174 3 257 3 340 3 394 2 419 0L419 39 384 39C343 39 318 42 310 47 302 52 297 64 297 82L297 636C297 660 295 666 269 666Z"></path></g><g data-mml-node="mn" transform="translate(220,-345) scale(0.707)" 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199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g><rect width="604.5" height="60" x="120" y="220"></rect></g></g><g data-mml-node="mrow" data-latex="3x + 2" transform="translate(220,-686)"><g data-mml-node="mn" data-latex="3"><path data-c="33" d="M303 353C369 378 431 441 431 526 431 569 410 604 369 631 333 654 292 666 246 666 201 666 162 654 127 631 88 605 68 571 68 528 68 495 90 472 122 472 154 472 176 495 176 527 176 560 157 578 119 580 145 615 186 633 242 633 302 633 332 598 332 527 332 485 324 450 309 421 282 373 245 364 183 364 171 362 165 357 165 348 165 333 172 333 192 333L235 333C310 333 348 280 348 173 348 88 317 14 241 14 176 14 128 36 99 80 134 79 160 105 160 139 160 173 135 198 101 198 62 198 42 178 42 137 42 88 64 49 108 18 147-9 193-22 244-22 301-22 350-3 393 34 436 71 457 117 457 173 457 267 383 332 303 353Z"></path></g><g data-mml-node="mi" data-latex="x" transform="translate(500,0)"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g><g data-mml-node="mo" data-latex="+" transform="translate(1294.2,0)"><path data-c="2B" d="M698 274 413 274 413 559C413 575 405 583 389 583 373 583 365 575 365 559L365 274 80 274C64 274 56 266 56 250 56 234 64 226 80 226L365 226 365-59C365-75 373-83 389-83 405-83 413-75 413-59L413 226 698 226C714 226 722 234 722 250 722 263 711 274 698 274Z"></path></g><g data-mml-node="mn" data-latex="2" transform="translate(2294.4,0)"><path data-c="32" d="M237 666C186 666 143 648 106 612 69 576 50 534 50 483 50 449 75 424 106 424 136 424 161 450 161 480 161 513 137 536 105 536 102 536 100 536 98 535 117 584 161 627 224 627 306 627 352 556 352 470 352 403 318 331 250 255L62 43C49 28 50 29 50 0L421 0 450 180 417 180C409 129 402 100 396 91 391 86 361 84 306 84L139 84 236 179C304 243 390 312 419 365 439 400 449 435 449 470 449 588 357 666 237 666Z"></path></g></g><rect width="2994.4" height="60" x="120" y="220"></rect></g></g></g></g></svg></mjx-container></td></tr><tr><td>语法</td><td>\frac{1}{2}</td><td>\frac{1+\frac{1}{x}}{3x + 2}</td><td>\dfrac{1}{2}</td><td>\dfrac{1+\frac{1}{x}}{3x + 2}</td></tr></tbody></table><p>连续嵌套使用时用：<strong>\cfrac</strong></p><table><thead><tr><th>符号显示</th><th>语法</th></tr></thead><tbody><tr><td><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.781ex" xmlns="http://www.w3.org/2000/svg" width="8.196ex" height="5.467ex" role="img" focusable="false" viewBox="0 -2071.5 3622.8 2416.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\frac{1+\frac{2}{1+\frac{2}{1+\frac{2}{1} } } } {2}"><g data-mml-node="mfrac" data-latex="\frac{1+\frac{2}{1+\frac{2}{1+\frac{2}{1} } } } {2}"><g data-mml-node="mrow" transform="translate(220,1459.9) scale(0.707)" data-latex="1+\frac{2}{1+\frac{2}{1+\frac{2}{1} } } "><g data-mml-node="mn" data-latex="1"><path data-c="31" 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transform="translate(220,-506)"><path data-c="31" d="M269 666C228 624 168 603 89 603L89 564C141 564 184 572 217 588L217 82C217 64 213 52 204 47 195 42 170 39 130 39L95 39 95 0C120 2 174 3 257 3 340 3 394 2 419 0L419 39 384 39C343 39 318 42 310 47 302 52 297 64 297 82L297 636C297 660 295 666 269 666Z"></path></g><rect width="700" height="60" x="120" y="220"></rect></g></g><rect width="2418" height="60" x="120" y="220"></rect></g></g><rect width="2983.2" height="60" x="120" y="220"></rect></g></g><g data-mml-node="mn" transform="translate(1634.6,-345) scale(0.707)" data-latex="2"><path data-c="32" d="M237 666C186 666 143 648 106 612 69 576 50 534 50 483 50 449 75 424 106 424 136 424 161 450 161 480 161 513 137 536 105 536 102 536 100 536 98 535 117 584 161 627 224 627 306 627 352 556 352 470 352 403 318 331 250 255L62 43C49 28 50 29 50 0L421 0 450 180 417 180C409 129 402 100 396 91 391 86 361 84 306 84L139 84 236 179C304 243 390 312 419 365 439 400 449 435 449 470 449 588 357 666 237 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184-454L86-528C77-535 73-540 73-545 73-555 78-560 87-560 90-560 95-557 103-551L151-516 345-943C350-954 357-960 367-960 379-960 387-955 392-946Z"></path></g><g transform="translate(853,0)"><g data-mml-node="mi" data-latex="x"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g><g data-mml-node="mo" data-latex="+" 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273 50 273 53 274 56 276 61 285 64 292 65 299 83 375 106 413 133 413 151 413 160 399 160 371 160 358 155 331 144 290L87 63C84 50 78 24 78 19 78-1 89-11 111-11 130-11 144-1 151 19 153 24 159 49 170 92L191 181 221 295C232 318 249 341 270 365 299 397 335 413 378 413 411 413 427 391 427 348 427 310 406 234 363 120 356 102 353 87 353 74 353 25 390-11 438-11 482-11 517 14 542 64 561 104 571 131 571 144 571 153 566 158 555 158 552 158 537 149 537 137Z"></path></g><g><g data-mml-node="mi" data-latex="x" transform="translate(853,0)"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g></g><rect width="572" height="60" x="853" y="723"></rect></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>\sqrt{x+y}</td><td>\sqrt{x}</td><td>\sqrt[n]{x}</td></tr></tbody></table></div><div class="story post-story"><h2 id="三角函数"><a href="#三角函数" class="headerlink" title="三角函数"></a>三角函数</h2><p>直接反斜杠 <strong>\</strong> 加正常书写的符号即可，这里只列举几个。</p><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.025ex" xmlns="http://www.w3.org/2000/svg" width="3.027ex" height="1.038ex" role="img" focusable="false" viewBox="0 -448 1338 459"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" 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250C356 300 347 321 312 356 283 385 247 400 206 400 124 400 56 332 56 250 56 168 124 100 206 100 288 100 356 168 356 250M309 250C309 208 303 200 279 177 259 157 235 147 206 147 149 147 103 193 103 250 103 307 149 353 206 353 263 353 309 307 309 250Z"></path></g></g></g></g></svg><mjx-break size="4"></mjx-break><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="3.52ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1555.8 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\cos 90^\circ = 0"><g data-mml-node="mo" data-latex="="><path data-c="3D" d="M698 367 80 367C64 367 56 359 56 344 56 329 64 321 80 321L698 321C714 321 722 329 722 344 722 356 711 367 698 367M698 179 80 179C64 179 56 171 56 156 56 141 64 133 80 133L698 133C714 133 722 141 722 156 722 169 711 179 698 179Z"></path></g><g data-mml-node="mn" data-latex="0" transform="translate(1055.8,0)"><path data-c="30" d="M249-22C390-22 460 92 460 320 460 473 428 575 365 625 330 652 291 666 250 666 109 666 39 551 39 320 39 136 88-22 249-22M361 524C368 489 371 425 371 332 371 240 367 172 360 128 347 48 310 8 249 8 226 8 203 17 182 34 155 57 139 104 132 176 129 201 128 253 128 332 128 419 131 480 136 513 145 568 163 603 191 618 213 630 232 636 249 636 314 636 350 583 361 524Z"></path></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>\cos^2 x +\sin^2 x = 1</td><td>\cos 90^\circ = 0</td></tr></tbody></table></div><div class="story post-story"><h2 id="求和-求积-求极限"><a href="#求和-求积-求极限" class="headerlink" title="求和 求积 求极限"></a>求和 求积 求极限</h2><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="2.389ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1056 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g 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transform="translate(556,0)"></path></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>\sum</td><td>\prod</td><td>\lim</td></tr></tbody></table><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.798ex" xmlns="http://www.w3.org/2000/svg" width="7.346ex" height="2.755ex" role="img" focusable="false" viewBox="0 -864.9 3246.9 1217.7"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\sum_{i=1}^{\infty}\frac{1}{i}"><g data-mml-node="munderover" data-latex="\sum_{i=1}^{\infty}"><g data-mml-node="mo" data-latex="\sum"><path data-c="2211" d="M56 713 417 216 67-217C60-225 57-231 57-235 57-245 67-250 88-250L913-250 1001 5 967 5C954-33 933-66 902-95 825-166 719-188 565-188L152-188 490 232C497 240 500 246 500 250 500 254 498 259 493 266L175 702 560 702C682 702 764 691 854 644 907 616 944 571 967 510L1001 510 913 750 88 750C57 750 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125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g><rect width="604.5" height="60" x="120" y="220"></rect></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>\sum_{i=1}^{\infty}\frac{1}{i}</td><td>\prod_{n=1}^5\frac{n}{n-1}</td><td>\lim_{x\to\infty}\frac{1}{x}</td></tr></tbody></table></div><div class="story post-story"><h2 id="求积分-偏导"><a href="#求积分-偏导" class="headerlink" title="求积分 偏导"></a>求积分 偏导</h2><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.691ex" xmlns="http://www.w3.org/2000/svg" width="1.505ex" height="2.514ex" role="img" focusable="false" viewBox="0 -805.5 665 1111"><g 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stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\oint"><g data-mml-node="mo" data-latex="\oint" transform="translate(0 0.5)"><path data-c="222E" d="M497 805C421 805 370 747 344 630 339 609 331 553 319 461 264 456 219 433 183 392 147 351 129 304 129 249 129 148 197 71 278 47L269-72C259-208 225-276 168-276 147-276 129-271 114-261 135-255 146-241 146-219 146-192 128-173 101-173 71-173 56-189 56-220 56-273 111-306 168-306 249-306 305-246 335-127 341-102 349-47 360 38 415 43 460 66 496 106 532 146 551 194 551 249 551 350 482 428 401 452L410 571C414 628 421 672 430 705 443 747 452 775 498 775 519 775 537 770 551 760 530 754 519 740 519 718 519 691 537 672 564 672 594 672 609 688 609 719 609 772 554 805 497 805M366 87C377 192 389 296 398 403 454 382 504 323 504 249 504 165 441 98 366 87M313 412C302 307 290 203 281 96 225 119 176 174 176 249 176 334 237 401 313 412Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.464ex" xmlns="http://www.w3.org/2000/svg" width="3.494ex" height="2.351ex" role="img" focusable="false" viewBox="0 -833.9 1544.3 1038.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\partial^2y"><g data-mml-node="msup" data-latex="\partial^2"><g data-mml-node="mi" data-latex="\partial"><path data-c="1D715" d="M256 574C256 597 241 610 212 612 243 659 288 683 347 683 439 683 484 606 484 508 484 467 476 417 461 356 444 425 401 460 334 460 257 460 190 428 130 366 70 304 40 235 40 158 40 121 53 83 79 45 110 0 158-22 225-22 315-22 390 20 449 105 505 187 566 329 566 456 566 527 548 587 512 635 473 689 418 716 349 716 282 716 232 693 198 646 171 609 157 579 157 556 157 530 171 517 199 517 229 517 256 544 256 574M439 303C439 240 420 178 381 117 338 48 287 14 228 14 162 14 124 57 124 121 124 149 131 188 145 238 159 288 173 323 188 344 228 401 277 430 334 430 407 430 439 376 439 303Z"></path></g><g data-mml-node="mn" transform="translate(650.8,363) scale(0.707)" data-latex="2"><path data-c="32" d="M237 666C186 666 143 648 106 612 69 576 50 534 50 483 50 449 75 424 106 424 136 424 161 450 161 480 161 513 137 536 105 536 102 536 100 536 98 535 117 584 161 627 224 627 306 627 352 556 352 470 352 403 318 331 250 255L62 43C49 28 50 29 50 0L421 0 450 180 417 180C409 129 402 100 396 91 391 86 361 84 306 84L139 84 236 179C304 243 390 312 419 365 439 400 449 435 449 470 449 588 357 666 237 666Z"></path></g></g><g data-mml-node="mi" data-latex="y" transform="translate(1054.3,0)"><path data-c="1D466" d="M163 442C118 442 83 417 58 367 39 328 29 301 29 286 29 277 34 272 45 272 59 272 60 278 64 293 87 372 119 412 160 412 173 412 180 403 180 385 180 369 175 346 164 317 126 214 107 145 107 108 107 32 154-13 231-13 264-13 295-1 323 23 288-109 233-175 158-175 124-175 101-164 89-142 129-140 149-121 149-85 149-60 136-47 109-47 72-47 50-78 50-115 50-170 100-205 158-205 273-205 367-99 392-1L486 377C489 388 490 396 490 401 490 421 479 431 458 431 442 431 429 423 420 408 414 387 409 369 406 354L342 97C332 61 279 16 234 16 196 16 177 41 177 92 177 134 194 198 227 284 240 319 247 343 247 357 247 406 212 442 163 442Z"></path></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>\int</td><td>\oint</td><td>\partial^2y</td></tr></tbody></table><table><thead><tr><th>符号</th><th>语法</th></tr></thead><tbody><tr><td><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.798ex" xmlns="http://www.w3.org/2000/svg" width="6.934ex" height="2.8ex" role="img" focusable="false" viewBox="0 -884.7 3064.7 1237.5"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\frac{d}{dx}\left(x^2\right) = 2x"><g data-mml-node="mfrac" data-latex="\frac{d}{dx}"><g data-mml-node="mi" transform="translate(422.2,394) scale(0.707)" data-latex="d"><path data-c="1D451" d="M429 632 370 389C349 426 320 445 281 445 216 445 159 412 109 345 63 283 40 218 40 151 40 63 91-11 175-11 218-11 260 12 300 59 311 21 345-11 392-11 461-11 483 71 498 145 498 154 493 159 483 159 474 159 468 152 465 138 445 59 421 19 394 19 377 19 368 33 368 60 368 75 370 91 374 107L516 679 516 683C513 690 507 694 499 694 476 694 434 690 374 683 363 682 357 674 357 660 357 650 366 645 384 645 403 645 429 646 429 632M341 376C351 355 356 341 356 332 355 328 354 323 353 316L304 122C301 111 294 99 285 87 248 42 212 19 177 19 138 19 118 49 118 108 118 132 124 168 136 216 157 301 187 359 224 390 244 407 263 415 282 415 309 415 329 402 341 376Z"></path></g><g data-mml-node="mrow" transform="translate(220,-345) scale(0.707)" data-latex="dx"><g data-mml-node="mi" data-latex="d"><path data-c="1D451" d="M429 632 370 389C349 426 320 445 281 445 216 445 159 412 109 345 63 283 40 218 40 151 40 63 91-11 175-11 218-11 260 12 300 59 311 21 345-11 392-11 461-11 483 71 498 145 498 154 493 159 483 159 474 159 468 152 465 138 445 59 421 19 394 19 377 19 368 33 368 60 368 75 370 91 374 107L516 679 516 683C513 690 507 694 499 694 476 694 434 690 374 683 363 682 357 674 357 660 357 650 366 645 384 645 403 645 429 646 429 632M341 376C351 355 356 341 356 332 355 328 354 323 353 316L304 122C301 111 294 99 285 87 248 42 212 19 177 19 138 19 118 49 118 108 118 132 124 168 136 216 157 301 187 359 224 390 244 407 263 415 282 415 309 415 329 402 341 376Z"></path></g><g data-mml-node="mi" data-latex="x" transform="translate(520,0)"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g></g><rect width="972.2" height="60" x="120" y="220"></rect></g><g data-mml-node="mrow" data-latex-item="\left(x^2 \right)" data-latex="\left(x^2 \right)" transform="translate(1212.2,0)"><g data-mml-node="mo" data-latex-item="\left(" data-latex="\left("><path data-c="28" d="M348-297C357-297 362-292 362-283 362-278 360-275 357-272 301-229 256-157 222-56 193 31 178 115 178 198L178 302C178 385 193 469 222 556 256 657 301 729 357 772 360 775 362 778 362 783 362 792 357 797 348 797 344 797 341 796 340 794 275 744 221 670 178 571 137 477 116 387 116 302L116 198C116 113 137 23 178-71 221-170 275-244 340-294 341-296 344-297 348-297Z"></path></g><g data-mml-node="msup" data-latex="x^2" transform="translate(422,0)"><g data-mml-node="mi" data-latex="x"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)" data-latex="2"><path data-c="32" d="M237 666C186 666 143 648 106 612 69 576 50 534 50 483 50 449 75 424 106 424 136 424 161 450 161 480 161 513 137 536 105 536 102 536 100 536 98 535 117 584 161 627 224 627 306 627 352 556 352 470 352 403 318 331 250 255L62 43C49 28 50 29 50 0L421 0 450 180 417 180C409 129 402 100 396 91 391 86 361 84 306 84L139 84 236 179C304 243 390 312 419 365 439 400 449 435 449 470 449 588 357 666 237 666Z"></path></g></g><g data-mml-node="mo" data-latex-item="\right)" data-latex="\right)" transform="translate(1430.6,0)"><path data-c="29" d="M82-294C147-244 201-170 244-71 285 23 306 113 306 198L306 302C306 387 285 477 244 571 201 670 147 744 82 794 81 796 78 797 74 797 65 797 60 792 60 783 60 778 62 775 65 772 121 729 166 657 200 556 229 469 244 385 244 302L244 198C244 115 229 31 200-56 166-157 121-229 65-272 62-275 60-278 60-283 60-292 65-297 74-297 78-297 81-296 82-294Z"></path></g></g></g></g></svg><mjx-break size="4"></mjx-break><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="4.814ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2127.8 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\frac{d}{dx}\left(x^2\right) = 2x"><g data-mml-node="mo" data-latex="="><path data-c="3D" d="M698 367 80 367C64 367 56 359 56 344 56 329 64 321 80 321L698 321C714 321 722 329 722 344 722 356 711 367 698 367M698 179 80 179C64 179 56 171 56 156 56 141 64 133 80 133L698 133C714 133 722 141 722 156 722 169 711 179 698 179Z"></path></g><g data-mml-node="mn" data-latex="2" transform="translate(1055.8,0)"><path data-c="32" d="M237 666C186 666 143 648 106 612 69 576 50 534 50 483 50 449 75 424 106 424 136 424 161 450 161 480 161 513 137 536 105 536 102 536 100 536 98 535 117 584 161 627 224 627 306 627 352 556 352 470 352 403 318 331 250 255L62 43C49 28 50 29 50 0L421 0 450 180 417 180C409 129 402 100 396 91 391 86 361 84 306 84L139 84 236 179C304 243 390 312 419 365 439 400 449 435 449 470 449 588 357 666 237 666Z"></path></g><g data-mml-node="mi" data-latex="x" transform="translate(1555.8,0)"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g></g></g></svg></mjx-container></td><td>\frac{d}{dx}\left(x^2\right) = 2x</td></tr><tr><td><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.691ex" xmlns="http://www.w3.org/2000/svg" width="4.307ex" height="2.514ex" role="img" focusable="false" viewBox="0 -805.5 1903.7 1111"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\int 2x\\ dx = x^2+C"><g data-mml-node="mo" data-latex="\int" transform="translate(0 0.5)"><path data-c="222B" d="M497 805C421 805 370 747 344 630 340 613 335 578 328 526L315 425C301 313 292 230 288 175L269-72C262-169 246-276 168-276 147-276 129-271 114-261 135-255 146-241 146-219 146-192 128-173 101-173 71-173 56-189 56-220 56-273 111-306 168-306 249-306 305-246 335-127 356-43 375 107 391 324L410 571C414 628 421 673 430 705 443 747 452 775 498 775 519 775 537 770 551 760 530 754 519 740 519 718 519 691 537 672 564 672 594 672 609 688 609 719 609 772 554 805 497 805Z"></path></g><g data-mml-node="mn" data-latex="2" transform="translate(831.7,0)"><path data-c="32" d="M237 666C186 666 143 648 106 612 69 576 50 534 50 483 50 449 75 424 106 424 136 424 161 450 161 480 161 513 137 536 105 536 102 536 100 536 98 535 117 584 161 627 224 627 306 627 352 556 352 470 352 403 318 331 250 255L62 43C49 28 50 29 50 0L421 0 450 180 417 180C409 129 402 100 396 91 391 86 361 84 306 84L139 84 236 179C304 243 390 312 419 365 439 400 449 435 449 470 449 588 357 666 237 666Z"></path></g><g data-mml-node="mi" data-latex="x" transform="translate(1331.7,0)"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 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374 683 363 682 357 674 357 660 357 650 366 645 384 645 403 645 429 646 429 632M341 376C351 355 356 341 356 332 355 328 354 323 353 316L304 122C301 111 294 99 285 87 248 42 212 19 177 19 138 19 118 49 118 108 118 132 124 168 136 216 157 301 187 359 224 390 244 407 263 415 282 415 309 415 329 402 341 376Z"></path></g><g data-mml-node="mi" data-latex="x" transform="translate(520,0)"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g></g></g></svg><mjx-break size="4"></mjx-break><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="4.67ex" height="2.452ex" role="img" focusable="false" viewBox="0 -833.9 2064.3 1083.9"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\int 2x\\ dx = x^2+C"><g data-mml-node="mo" data-latex="="><path data-c="3D" d="M698 367 80 367C64 367 56 359 56 344 56 329 64 321 80 321L698 321C714 321 722 329 722 344 722 356 711 367 698 367M698 179 80 179C64 179 56 171 56 156 56 141 64 133 80 133L698 133C714 133 722 141 722 156 722 169 711 179 698 179Z"></path></g><g data-mml-node="msup" data-latex="x^2" transform="translate(1055.8,0)"><g data-mml-node="mi" data-latex="x"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g><g data-mml-node="mn" transform="translate(605,363) scale(0.707)" data-latex="2"><path data-c="32" d="M237 666C186 666 143 648 106 612 69 576 50 534 50 483 50 449 75 424 106 424 136 424 161 450 161 480 161 513 137 536 105 536 102 536 100 536 98 535 117 584 161 627 224 627 306 627 352 556 352 470 352 403 318 331 250 255L62 43C49 28 50 29 50 0L421 0 450 180 417 180C409 129 402 100 396 91 391 86 361 84 306 84L139 84 236 179C304 243 390 312 419 365 439 400 449 435 449 470 449 588 357 666 237 666Z"></path></g></g></g></g></svg><mjx-break size="3"></mjx-break><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="3.982ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 1760.2 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\int 2x\\ dx = x^2+C"><g data-mml-node="mo" data-latex="+"><path data-c="2B" d="M698 274 413 274 413 559C413 575 405 583 389 583 373 583 365 575 365 559L365 274 80 274C64 274 56 266 56 250 56 234 64 226 80 226L365 226 365-59C365-75 373-83 389-83 405-83 413-75 413-59L413 226 698 226C714 226 722 234 722 250 722 263 711 274 698 274Z"></path></g><g data-mml-node="mi" data-latex="C" transform="translate(1000.2,0)"><path data-c="1D436" d="M148 218C148 346 204 476 267 548 318 607 406 666 505 666 609 666 660 587 660 479 660 470 657 438 657 429 657 420 663 415 676 415 681 415 685 416 688 417 693 424 696 431 698 438L760 691C760 700 755 705 745 705 741 705 735 701 727 692L662 619C623 676 568 705 497 705 442 705 388 692 333 667 222 615 141 533 89 421 63 366 50 310 50 253 50 173 75 108 126 56 177 4 242-22 322-22 401-22 473 7 538 64 565 87 588 115 607 146 634 191 648 222 648 241 648 250 643 255 632 255 623 255 618 251 616 242 595 177 562 125 517 88 460 41 400 17 338 17 218 17 148 98 148 218Z"></path></g></g></g></svg></mjx-container></td><td>\int 2x\ dx = x^2+C</td></tr><tr><td><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.889ex" xmlns="http://www.w3.org/2000/svg" width="3.898ex" height="3.114ex" role="img" focusable="false" viewBox="0 -983.7 1722.9 1376.6"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\frac{\partial^2U}{\partial x^2} + \frac{\partial^2U}{\partial y^2}"><g data-mml-node="mfrac" 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112 644 143 643 161 641 166 640 171 639 173 636 173 631 173 629 172 622 169 611L74 230C69 211 67 192 67 172 67 57 150-22 265-22 330-22 390 3 445 54 498 102 532 158 548 223L636 574C649 625 677 643 739 644 753 645 760 653 760 668L760 672C757 679 752 683 743 683 724 683 661 680 642 680Z"></path></g></g><g data-mml-node="mrow" transform="translate(333.8,-377.4) scale(0.707)" data-latex="\partial y^2 "><g data-mml-node="mi" data-latex="\partial"><path data-c="1D715" d="M256 574C256 597 241 610 212 612 243 659 288 683 347 683 439 683 484 606 484 508 484 467 476 417 461 356 444 425 401 460 334 460 257 460 190 428 130 366 70 304 40 235 40 158 40 121 53 83 79 45 110 0 158-22 225-22 315-22 390 20 449 105 505 187 566 329 566 456 566 527 548 587 512 635 473 689 418 716 349 716 282 716 232 693 198 646 171 609 157 579 157 556 157 530 171 517 199 517 229 517 256 544 256 574M439 303C439 240 420 178 381 117 338 48 287 14 228 14 162 14 124 57 124 121 124 149 131 188 145 238 159 288 173 323 188 344 228 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450 161 480 161 513 137 536 105 536 102 536 100 536 98 535 117 584 161 627 224 627 306 627 352 556 352 470 352 403 318 331 250 255L62 43C49 28 50 29 50 0L421 0 450 180 417 180C409 129 402 100 396 91 391 86 361 84 306 84L139 84 236 179C304 243 390 312 419 365 439 400 449 435 449 470 449 588 357 666 237 666Z"></path></g></g></g><rect width="1482.9" height="60" x="120" y="220"></rect></g></g></g></svg></mjx-container></td><td>\frac{\partial^2U}{\partial x^2} + \frac{\partial^2U}{\partial y^2}</td></tr></tbody></table></div><div class="story post-story"><h2 id="绝对值"><a href="#绝对值" class="headerlink" title="绝对值"></a>绝对值</h2><p>直接插入竖线 <strong>|</strong> 即可，可使用 <strong>\left</strong> 、 <strong>\right</strong> 标签来指定竖线的垂直长度与那对应字符块匹配</p><figure class="highlight plaintext"><table><tbody><tr><td class="code"><pre><span class="line">直接插入竖线： |a^x|</span><br><span class="line">指定垂直长度相匹配： \left|a\right|^\left|x\right|</span><br></pre></td></tr></tbody></table></figure><p><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="19.586ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 8657 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="直接插入竖线： |ax|"><g data-mml-node="mi" data-latex="直"><text data-variant="normal" transform="scale(1,-1)" font-size="884px" font-family="serif">直</text></g><g data-mml-node="mi" data-latex="接" transform="translate(1000,0)"><text data-variant="normal" transform="scale(1,-1)" font-size="884px" font-family="serif">接</text></g><g data-mml-node="mi" data-latex="插" transform="translate(2000,0)"><text data-variant="normal" transform="scale(1,-1)" font-size="884px" font-family="serif">插</text></g><g data-mml-node="mi" data-latex="入" transform="translate(3000,0)"><text data-variant="normal" transform="scale(1,-1)" font-size="884px" font-family="serif">入</text></g><g data-mml-node="mi" data-latex="竖" transform="translate(4000,0)"><text data-variant="normal" transform="scale(1,-1)" font-size="884px" font-family="serif">竖</text></g><g data-mml-node="mi" data-latex="线" transform="translate(5000,0)"><text data-variant="normal" transform="scale(1,-1)" font-size="884px" font-family="serif">线</text></g><g data-mml-node="mi" data-latex="：" transform="translate(6000,0)"><text data-variant="italic" transform="scale(1,-1)" font-size="884px" font-family="serif" font-style="italic">：</text></g><g data-mml-node="mo" data-latex="|" transform="translate(7000,0)"><path data-c="7C" d="M139-250C152-250 159-242 159-226L159 726C159 742 152 750 139 750 126 750 119 742 119 726L119-226C119-242 126-250 139-250Z"></path></g><g data-mml-node="mi" data-latex="a" transform="translate(7278,0)"><path data-c="1D44E" d="M498 144C498 153 493 158 482 158 474 158 468 151 465 137 445 58 421 18 394 18 377 18 368 32 368 60 368 73 372 97 381 132L438 357C443 376 445 387 445 392 445 412 434 422 412 422 391 422 377 410 370 387 349 424 319 442 281 442 216 442 159 409 109 343 63 281 40 217 40 150 40 63 91-11 175-11 218-11 260 12 300 58 311 20 345-11 392-11 461-11 482 70 498 144M341 374C350 353 355 339 355 330 355 326 354 321 353 314L304 122C301 111 294 99 285 87 248 41 212 18 177 18 138 18 118 48 118 107 118 131 124 167 136 215 157 300 187 357 224 388 244 405 263 413 282 413 309 413 329 400 341 374Z"></path></g><g data-mml-node="mi" data-latex="x" transform="translate(7807,0)"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g><g data-mml-node="mo" data-latex="|" transform="translate(8379,0)"><path data-c="7C" d="M139-250C152-250 159-242 159-226L159 726C159 742 152 750 139 750 126 750 119 742 119 726L119-226C119-242 126-250 139-250Z"></path></g></g></g></svg></mjx-container><br><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.566ex" xmlns="http://www.w3.org/2000/svg" width="27.631ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 12213 1000"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="指定垂直长度相匹配： |a||x|"><g data-mml-node="mi" data-latex="指"><text data-variant="normal" transform="scale(1,-1)" font-size="884px" font-family="serif">指</text></g><g data-mml-node="mi" data-latex="定" 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422 377 410 370 387 349 424 319 442 281 442 216 442 159 409 109 343 63 281 40 217 40 150 40 63 91-11 175-11 218-11 260 12 300 58 311 20 345-11 392-11 461-11 482 70 498 144M341 374C350 353 355 339 355 330 355 326 354 321 353 314L304 122C301 111 294 99 285 87 248 41 212 18 177 18 138 18 118 48 118 107 118 131 124 167 136 215 157 300 187 357 224 388 244 405 263 413 282 413 309 413 329 400 341 374Z"></path></g><g data-mml-node="mo" data-latex="|" transform="translate(10807,0)"><path data-c="7C" d="M139-250C152-250 159-242 159-226L159 726C159 742 152 750 139 750 126 750 119 742 119 726L119-226C119-242 126-250 139-250Z"></path></g><g data-mml-node="mo" data-latex="|" transform="translate(11085,0)"><path data-c="7C" d="M139-250C152-250 159-242 159-226L159 726C159 742 152 750 139 750 126 750 119 742 119 726L119-226C119-242 126-250 139-250Z"></path></g><g data-mml-node="mi" data-latex="x" transform="translate(11363,0)"><path data-c="1D465" d="M527 373C527 419 482 442 432 442 389 442 355 419 329 373 308 419 273 442 222 442 173 442 133 419 101 374 74 335 60 306 60 287 60 278 65 273 75 273 84 273 90 278 92 287 111 345 153 413 220 413 253 413 269 392 269 351 269 330 251 252 216 118 199 51 169 18 126 18 112 18 99 21 88 26 114 36 127 54 127 80 127 106 114 119 87 119 54 119 29 91 29 58 29 12 76-11 125-11 167-11 201 12 228 58 247 12 283-11 335-11 383-11 423 12 455 57 482 96 496 125 496 144 496 153 491 158 481 158 472 158 467 153 464 144 447 87 402 18 337 18 304 18 287 38 287 79 287 92 292 120 303 165L337 300C356 375 387 413 431 413 445 413 458 410 469 405 442 396 429 378 429 351 429 325 443 312 470 312 502 312 527 341 527 373Z"></path></g><g data-mml-node="mo" data-latex="|" transform="translate(11935,0)"><path data-c="7C" d="M139-250C152-250 159-242 159-226L159 726C159 742 152 750 139 750 126 750 119 742 119 726L119-226C119-242 126-250 139-250Z"></path></g></g></g></svg></mjx-container></p><p>注：所有成对出现的符号均可以像上面那样使用 <strong>\left</strong> 、 <strong>\right</strong> 标签来指定其大小匹配的字符块。</p></div><div class="story post-story"><h2 id="矩阵和行列式"><a href="#矩阵和行列式" class="headerlink" title="矩阵和行列式"></a>矩阵和行列式</h2><p>所有的矩阵都是使用 <strong>\begin{matrix}</strong> 开始， <strong>\end{matrix}</strong> 结束。其中的 <strong>matrix</strong> 还可以改为 <strong>pmatrix</strong> 、 <strong>bmatrix</strong> 、 <strong>Bmatrix</strong> 、 <strong>vmatrix</strong> 、 <strong>Vmatrix</strong> 。</p><p>在每一行中使用 <strong>&</strong> 分隔元素，行末用双反斜杠 <strong><span>\</span></strong> 表示换行。</p><p>## 基础格式</p><p>对于下面的公式，修改大括号内的关键字分别为 <strong>matrix</strong> 、 <strong>pmatrix</strong> 、 <strong>bmatrix</strong> 、 <strong>Bmatrix</strong> 、 <strong>vmatrix</strong> 、 <strong>Vmatrix</strong> 时对应的情况如下所示。</p><figure class="highlight plaintext"><table><tbody><tr><td class="code"><pre><span class="line">\begin{matrix}</span><br><span class="line">A & B & C\\</span><br><span class="line">D & E & F\\</span><br><span class="line">G & H & I\\</span><br><span class="line">\end{matrix}</span><br></pre></td></tr></tbody></table></figure><h3 id="matrix"><a href="#matrix" class="headerlink" title="matrix"></a>matrix</h3><p><mjx-container class="MathJax" jax="SVG" overflow="overflow" display="true" width="full" style="min-width:19.514ex"><svg style="vertical-align:-3.733ex;min-width:19.514ex" xmlns="http://www.w3.org/2000/svg" width="100%" height="8.597ex" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(0.0181,-0.0181) translate(0, -2150)"><g data-mml-node="math" data-latex="
\begin{matrix}
A & B & C\\
D & E & F\\
G & H & I\\
\end{matrix}
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\begin{matrix}
A & B & C\\
D & E & F\\
G & H & I\\
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5 41 0 52 0 68 0 121 3 137 3M492 577 522 267 307 267Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mi" data-latex="B"><path data-c="1D435" d="M756 543C756 634 666 683 568 683L236 683C213 683 203 682 203 659 203 643 223 644 235 644 265 643 283 641 288 640 293 639 295 636 295 631 295 629 294 623 291 613L159 82C154 60 144 47 129 42 122 40 104 39 73 39 52 39 42 31 42 15 42 5 52 0 73 0L426 0C491 0 551 20 608 59 671 102 703 155 703 217 703 296 638 344 567 358 655 379 756 446 756 543M554 644C623 644 658 612 658 547 658 496 638 454 596 420 554 386 507 370 456 370L317 370 377 610C385 644 385 644 427 644M582 299C596 276 603 253 603 228 603 176 583 131 542 94 501 57 455 39 402 39L267 39C257 39 250 39 246 40 240 40 237 42 237 45 237 46 237 49 238 53 269 180 293 276 309 340L493 340C536 340 565 326 582 299Z"></path></g></g><g data-mml-node="mtd" transform="translate(3709,0)"><g data-mml-node="mi" data-latex="C"><path data-c="1D436" d="M148 218C148 346 204 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39 248 40 242 40 239 42 239 45 239 47 241 54 244 67L379 610C388 643 387 644 429 644L535 644C647 644 710 578 710 466Z"></path></g></g><g data-mml-node="mtd" transform="translate(1885.5,0)"><g data-mml-node="mi" data-latex="E"><path data-c="1D438" d="M199 656C199 646 210 641 231 641 271 641 291 637 291 628 291 625 289 618 286 605L156 82C151 60 141 47 126 42 119 40 101 39 70 39 48 39 38 37 38 16 38 5 49 0 70 0L583 0C607 0 609 2 617 19L657 109C684 171 703 217 714 248 712 257 709 263 698 263 691 263 685 258 681 249 656 190 632 145 608 113 568 59 509 39 415 39L270 39C260 39 253 39 249 40 243 40 240 42 240 45 240 47 242 54 245 67L311 334 406 334C453 334 478 328 483 315 485 310 486 303 486 293 486 280 484 264 479 245 477 240 476 236 476 233 476 223 482 218 493 218 502 218 508 226 512 241L568 473C568 483 563 488 552 488 544 488 538 481 535 467 525 428 512 403 495 391 478 379 450 373 409 373L321 373 379 606C387 640 387 641 429 641L568 641C619 641 654 636 673 626 701 611 715 581 715 536 715 519 714 501 711 484 711 482 711 479 710 475L710 466C710 455 715 450 725 450 735 450 741 459 743 478L763 649C766 677 759 680 732 680L233 680C210 680 199 679 199 656Z"></path></g></g><g data-mml-node="mtd" transform="translate(3713.5,0)"><g data-mml-node="mi" data-latex="F"><path data-c="1D439" d="M199 656C199 646 210 641 231 641 271 641 291 637 291 628 291 625 289 618 286 605L156 82C150 60 140 47 126 42 119 40 101 39 70 39 48 39 38 37 38 16 38 5 44 0 57 0L187 3 335 0C351 0 359 8 359 23 359 40 348 39 322 39 278 39 253 41 247 46 244 47 243 51 243 56L307 321 400 321C446 321 478 319 478 281 478 268 476 252 471 233 470 230 469 226 468 222 468 211 473 206 484 206 489 207 496 214 503 229L557 444C559 452 560 458 560 461 557 470 551 475 544 475 536 475 530 467 526 452 516 414 502 390 486 378 470 366 442 360 402 360L317 360 379 606C387 640 387 641 429 641L559 641C656 641 700 626 700 537 700 517 699 499 697 484 696 473 695 467 695 466 695 455 700 450 710 450 720 450 726 459 728 478L748 649C751 677 744 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627 52 628 55 630 68L764 602C769 623 778 636 791 641 797 643 814 644 843 644 869 644 881 644 881 668Z"></path></g></g><g data-mml-node="mtd" transform="translate(3840.5,0)"><g data-mml-node="mi" data-latex="I"><path data-c="1D43C" d="M497 667C497 678 491 683 478 683L349 680 218 683C202 684 194 676 194 659 194 649 205 644 226 644 269 644 290 639 290 630 290 625 289 620 288 615L155 82C150 60 140 47 125 42 118 40 100 39 69 39 44 39 34 38 34 15 34 5 40 0 53 0L181 3 313 0C329-1 337 7 337 23 337 39 325 39 303 39 264 39 240 37 240 53 240 58 241 65 244 75L376 602C381 623 391 636 406 641 413 643 431 644 462 644 486 644 497 645 497 667Z"></path></g></g></g></g></g></g></g></svg><svg data-labels="true" preserveAspectRatio="xMaxYMid" viewBox="1278 -2150 1 3800"><g data-labels="true" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="mtd" id="mjx-eqn:1"><g data-mml-node="mtext" data-latex="\text{(1)}"><path data-c="28" d="M318-248C327-248 332-243 332-234 332-231 330-227 327-223 275-183 233-117 202-26 175 53 161 131 161 208L161 292C161 369 175 447 202 526 233 617 275 683 327 723 330 726 332 730 332 734 332 743 327 748 318 748 317 748 314 747 311 745 251 699 201 631 160 540 121 453 101 371 101 292L101 208C101 129 121 47 160-40 201-131 251-199 311-245 314-247 317-248 318-248Z"></path><path data-c="31" d="M269 666C228 624 168 603 89 603L89 564C141 564 184 572 217 588L217 82C217 64 213 52 204 47 195 42 170 39 130 39L95 39 95 0C120 2 174 3 257 3 340 3 394 2 419 0L419 39 384 39C343 39 318 42 310 47 302 52 297 64 297 82L297 636C297 660 295 666 269 666Z" transform="translate(389,0)"></path><path data-c="29" d="M78-245C138-199 188-131 229-40 268 47 288 129 288 208L288 292C288 371 268 453 229 540 188 631 138 699 78 745 75 747 72 748 71 748 62 748 57 743 57 734 57 730 59 726 62 723 114 683 156 617 187 526 214 447 228 369 228 292L228 208C228 131 214 53 187-26 156-117 114-183 62-223 59-227 57-231 57-234 57-243 62-248 71-248 72-248 75-247 78-245Z" transform="translate(889,0)"></path></g></g></g></svg></g></g></g></g></svg></mjx-container></p><h3 id="pmatrix"><a href="#pmatrix" class="headerlink" title="pmatrix"></a>pmatrix</h3><p><mjx-container class="MathJax" jax="SVG" overflow="overflow" display="true" width="full" style="min-width:23.473ex"><svg style="vertical-align:-3.733ex;min-width:23.473ex" xmlns="http://www.w3.org/2000/svg" width="100%" height="8.597ex" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(0.0181,-0.0181) translate(0, -2150)"><g data-mml-node="math" data-latex="
\begin{pmatrix}
A & B & C\\
D & E & F\\
G & H & I\\
\end{pmatrix}
"><g data-mml-node="mtable" data-latex="
\begin{pmatrix}
A & B & C\\
D & E & F\\
G & H & I\\
\end{pmatrix}
" transform="translate(2078,0) translate(-2078,0)"><g transform="translate(0 2150) matrix(1 0 0 -1 0 0) scale(55.25)"><svg data-table="true" preserveAspectRatio="xMidYMid" viewBox="3109.5 -2150 1 3800"><g transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="mlabeledtr"><g data-mml-node="mtd"><g data-mml-node="mrow" data-latex-item="{pmatrix}" data-latex="{pmatrix}"><g data-mml-node="mo"><path data-c="239B" d="M813 1450C820 1455 823 1462 823 1470 823 1487 815 1495 798 1495 793 1495 788 1493 784 1490 697 1423 614 1324 536 1192 399 956 277 603 277 253L277 0 385 0 385 253C385 407 403 562 438 719 500 999 630 1313 813 1450Z" transform="translate(0,655)"></path><path data-c="239D" d="M798 0C815 0 823 8 823 25 823 34 819 40 812 44 731 106 658 202 592 334 474 569 385 903 385 1242L385 1495 277 1495 277 1242C277 914 388 575 512 345 594 193 685 80 784 5 788 2 793 0 798 0Z" transform="translate(0,-1650)"></path><svg width="875" height="1010" y="-255" x="0" viewBox="0 252.5 875 1010"><path data-c="239C" d="M277 0 385 0 385 498 277 498Z" transform="scale(1,3.042)"></path></svg></g><g data-mml-node="mtable" transform="translate(875,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd" transform="translate(39,0)"><g data-mml-node="mi" data-latex="A"><path data-c="1D434" d="M137 3C155 3 217 0 236 0 251 0 258 8 258 23 258 32 252 38 239 39 210 40 196 50 196 69 196 78 205 98 224 128 251 173 270 206 283 228L526 228C526 221 527 207 530 185 537 112 541 72 541 67 541 48 519 39 474 39 455 39 446 31 446 15 446 5 452 0 464 0 488 0 564 3 588 3 608 3 679 0 699 0 714 0 721 8 721 24 721 34 712 39 694 39 666 39 649 41 644 44 639 47 635 56 634 71L574 689C571 708 572 716 551 716 539 716 529 710 522 697L178 120C148 70 108 43 59 39 43 38 35 30 35 15 35 5 41 0 52 0 68 0 121 3 137 3M492 577 522 267 307 267Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mi" data-latex="B"><path data-c="1D435" d="M756 543C756 634 666 683 568 683L236 683C213 683 203 682 203 659 203 643 223 644 235 644 265 643 283 641 288 640 293 639 295 636 295 631 295 629 294 623 291 613L159 82C154 60 144 47 129 42 122 40 104 39 73 39 52 39 42 31 42 15 42 5 52 0 73 0L426 0C491 0 551 20 608 59 671 102 703 155 703 217 703 296 638 344 567 358 655 379 756 446 756 543M554 644C623 644 658 612 658 547 658 496 638 454 596 420 554 386 507 370 456 370L317 370 377 610C385 644 385 644 427 644M582 299C596 276 603 253 603 228 603 176 583 131 542 94 501 57 455 39 402 39L267 39C257 39 250 39 246 40 240 40 237 42 237 45 237 46 237 49 238 53 269 180 293 276 309 340L493 340C536 340 565 326 582 299Z"></path></g></g><g data-mml-node="mtd" transform="translate(3709,0)"><g data-mml-node="mi" data-latex="C"><path data-c="1D436" d="M148 218C148 346 204 476 267 548 318 607 406 666 505 666 609 666 660 587 660 479 660 470 657 438 657 429 657 420 663 415 676 415 681 415 685 416 688 417 693 424 696 431 698 438L760 691C760 700 755 705 745 705 741 705 735 701 727 692L662 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data-latex="E"><path data-c="1D438" d="M199 656C199 646 210 641 231 641 271 641 291 637 291 628 291 625 289 618 286 605L156 82C151 60 141 47 126 42 119 40 101 39 70 39 48 39 38 37 38 16 38 5 49 0 70 0L583 0C607 0 609 2 617 19L657 109C684 171 703 217 714 248 712 257 709 263 698 263 691 263 685 258 681 249 656 190 632 145 608 113 568 59 509 39 415 39L270 39C260 39 253 39 249 40 243 40 240 42 240 45 240 47 242 54 245 67L311 334 406 334C453 334 478 328 483 315 485 310 486 303 486 293 486 280 484 264 479 245 477 240 476 236 476 233 476 223 482 218 493 218 502 218 508 226 512 241L568 473C568 483 563 488 552 488 544 488 538 481 535 467 525 428 512 403 495 391 478 379 450 373 409 373L321 373 379 606C387 640 387 641 429 641L568 641C619 641 654 636 673 626 701 611 715 581 715 536 715 519 714 501 711 484 711 482 711 479 710 475L710 466C710 455 715 450 725 450 735 450 741 459 743 478L763 649C766 677 759 680 732 680L233 680C210 680 199 679 199 656Z"></path></g></g><g data-mml-node="mtd" transform="translate(3713.5,0)"><g data-mml-node="mi" data-latex="F"><path data-c="1D439" d="M199 656C199 646 210 641 231 641 271 641 291 637 291 628 291 625 289 618 286 605L156 82C150 60 140 47 126 42 119 40 101 39 70 39 48 39 38 37 38 16 38 5 44 0 57 0L187 3 335 0C351 0 359 8 359 23 359 40 348 39 322 39 278 39 253 41 247 46 244 47 243 51 243 56L307 321 400 321C446 321 478 319 478 281 478 268 476 252 471 233 470 230 469 226 468 222 468 211 473 206 484 206 489 207 496 214 503 229L557 444C559 452 560 458 560 461 557 470 551 475 544 475 536 475 530 467 526 452 516 414 502 390 486 378 470 366 442 360 402 360L317 360 379 606C387 640 387 641 429 641L559 641C656 641 700 626 700 537 700 517 699 499 697 484 696 473 695 467 695 466 695 455 700 450 710 450 720 450 726 459 728 478L748 649C751 677 744 680 717 680L233 680C210 680 199 679 199 656Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd" transform="translate(21,0)"><g data-mml-node="mi" data-latex="G"><path data-c="1D43A" d="M324-22C412-22 481 5 532 59 538 46 564 1 578 1 583 1 586 4 588 8 590 12 597 32 606 68L624 144C630 167 634 184 637 195 648 239 648 238 702 239 715 239 721 247 721 263 721 273 716 278 705 278 686 278 620 274 601 275L462 278C446 278 438 270 438 254 438 245 444 241 456 240 513 237 543 235 546 233 549 231 550 227 550 222 550 215 543 185 530 133 510 61 436 17 343 17 221 17 148 98 148 220 148 239 150 263 153 290 164 372 218 487 261 540 311 603 403 666 505 666 609 666 660 587 660 479 660 470 657 438 657 429 657 420 663 415 676 415 681 415 685 416 688 417 693 424 696 431 698 438L760 691C760 700 755 705 745 705 741 705 735 701 727 692L662 619C623 676 568 705 497 705 442 705 388 692 333 667 222 615 141 533 89 421 63 366 50 310 50 253 50 93 164-22 324-22Z"></path></g></g><g data-mml-node="mtd" transform="translate(1828,0)"><g data-mml-node="mi" data-latex="H"><path data-c="1D43B" d="M881 668C881 678 875 683 863 683L736 680 609 683C593 683 586 674 586 659 586 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width="875" height="1010" y="-255" x="0" viewBox="0 252.5 875 1010"><path data-c="239F" d="M490 0 598 0 598 498 490 498Z" transform="scale(1,3.042)"></path></svg></g></g></g></g></g></svg><svg data-labels="true" preserveAspectRatio="xMaxYMid" viewBox="1278 -2150 1 3800"><g data-labels="true" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="mtd" id="mjx-eqn:2"><g data-mml-node="mtext" data-latex="\text{(2)}"><path data-c="28" d="M318-248C327-248 332-243 332-234 332-231 330-227 327-223 275-183 233-117 202-26 175 53 161 131 161 208L161 292C161 369 175 447 202 526 233 617 275 683 327 723 330 726 332 730 332 734 332 743 327 748 318 748 317 748 314 747 311 745 251 699 201 631 160 540 121 453 101 371 101 292L101 208C101 129 121 47 160-40 201-131 251-199 311-245 314-247 317-248 318-248Z"></path><path data-c="32" d="M237 666C186 666 143 648 106 612 69 576 50 534 50 483 50 449 75 424 106 424 136 424 161 450 161 480 161 513 137 536 105 536 102 536 100 536 98 535 117 584 161 627 224 627 306 627 352 556 352 470 352 403 318 331 250 255L62 43C49 28 50 29 50 0L421 0 450 180 417 180C409 129 402 100 396 91 391 86 361 84 306 84L139 84 236 179C304 243 390 312 419 365 439 400 449 435 449 470 449 588 357 666 237 666Z" transform="translate(389,0)"></path><path data-c="29" d="M78-245C138-199 188-131 229-40 268 47 288 129 288 208L288 292C288 371 268 453 229 540 188 631 138 699 78 745 75 747 72 748 71 748 62 748 57 743 57 734 57 730 59 726 62 723 114 683 156 617 187 526 214 447 228 369 228 292L228 208C228 131 214 53 187-26 156-117 114-183 62-223 59-227 57-231 57-234 57-243 62-248 71-248 72-248 75-247 78-245Z" transform="translate(889,0)"></path></g></g></g></svg></g></g></g></g></svg></mjx-container></p><h3 id="bmatrix"><a href="#bmatrix" class="headerlink" title="bmatrix"></a>bmatrix</h3><p><mjx-container class="MathJax" jax="SVG" overflow="overflow" display="true" width="full" style="min-width:22.532ex"><svg style="vertical-align:-3.733ex;min-width:22.532ex" xmlns="http://www.w3.org/2000/svg" width="100%" height="8.597ex" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(0.0181,-0.0181) translate(0, -2150)"><g data-mml-node="math" data-latex="
\begin{bmatrix}
A & B & C\\
D & E & F\\
G & H & I\\
\end{bmatrix}
"><g data-mml-node="mtable" data-latex="
\begin{bmatrix}
A & B & C\\
D & E & F\\
G & H & I\\
\end{bmatrix}
" transform="translate(2078,0) translate(-2078,0)"><g transform="translate(0 2150) matrix(1 0 0 -1 0 0) scale(55.25)"><svg data-table="true" preserveAspectRatio="xMidYMid" viewBox="2901.5 -2150 1 3800"><g transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="mlabeledtr"><g data-mml-node="mtd"><g data-mml-node="mrow" data-latex-item="{bmatrix}" data-latex="{bmatrix}"><g data-mml-node="mo"><path data-c="23A1" d="M614 1500 321 1500 321 0 387 0 387 1432 614 1432C636 1432 647 1443 647 1466 647 1485 633 1500 614 1500Z" transform="translate(0,650)"></path><path data-c="23A3" d="M614 68 387 68 387 1500 321 1500 321 0 614 0C636 0 647 11 647 34 647 53 633 68 614 68Z" transform="translate(0,-1650)"></path><svg width="667" height="1000" y="-250" x="0" viewBox="0 250 667 1000"><path data-c="23A2" d="M321 0 387 0 387 1000 321 1000Z" transform="scale(1,1.5)"></path></svg></g><g data-mml-node="mtable" transform="translate(667,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd" transform="translate(39,0)"><g data-mml-node="mi" data-latex="A"><path data-c="1D434" d="M137 3C155 3 217 0 236 0 251 0 258 8 258 23 258 32 252 38 239 39 210 40 196 50 196 69 196 78 205 98 224 128 251 173 270 206 283 228L526 228C526 221 527 207 530 185 537 112 541 72 541 67 541 48 519 39 474 39 455 39 446 31 446 15 446 5 452 0 464 0 488 0 564 3 588 3 608 3 679 0 699 0 714 0 721 8 721 24 721 34 712 39 694 39 666 39 649 41 644 44 639 47 635 56 634 71L574 689C571 708 572 716 551 716 539 716 529 710 522 697L178 120C148 70 108 43 59 39 43 38 35 30 35 15 35 5 41 0 52 0 68 0 121 3 137 3M492 577 522 267 307 267Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mi" data-latex="B"><path data-c="1D435" d="M756 543C756 634 666 683 568 683L236 683C213 683 203 682 203 659 203 643 223 644 235 644 265 643 283 641 288 640 293 639 295 636 295 631 295 629 294 623 291 613L159 82C154 60 144 47 129 42 122 40 104 39 73 39 52 39 42 31 42 15 42 5 52 0 73 0L426 0C491 0 551 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332-243 332-234 332-231 330-227 327-223 275-183 233-117 202-26 175 53 161 131 161 208L161 292C161 369 175 447 202 526 233 617 275 683 327 723 330 726 332 730 332 734 332 743 327 748 318 748 317 748 314 747 311 745 251 699 201 631 160 540 121 453 101 371 101 292L101 208C101 129 121 47 160-40 201-131 251-199 311-245 314-247 317-248 318-248Z"></path><path data-c="33" d="M303 353C369 378 431 441 431 526 431 569 410 604 369 631 333 654 292 666 246 666 201 666 162 654 127 631 88 605 68 571 68 528 68 495 90 472 122 472 154 472 176 495 176 527 176 560 157 578 119 580 145 615 186 633 242 633 302 633 332 598 332 527 332 485 324 450 309 421 282 373 245 364 183 364 171 362 165 357 165 348 165 333 172 333 192 333L235 333C310 333 348 280 348 173 348 88 317 14 241 14 176 14 128 36 99 80 134 79 160 105 160 139 160 173 135 198 101 198 62 198 42 178 42 137 42 88 64 49 108 18 147-9 193-22 244-22 301-22 350-3 393 34 436 71 457 117 457 173 457 267 383 332 303 353Z" transform="translate(389,0)"></path><path data-c="29" d="M78-245C138-199 188-131 229-40 268 47 288 129 288 208L288 292C288 371 268 453 229 540 188 631 138 699 78 745 75 747 72 748 71 748 62 748 57 743 57 734 57 730 59 726 62 723 114 683 156 617 187 526 214 447 228 369 228 292L228 208C228 131 214 53 187-26 156-117 114-183 62-223 59-227 57-231 57-234 57-243 62-248 71-248 72-248 75-247 78-245Z" transform="translate(889,0)"></path></g></g></g></svg></g></g></g></g></svg></mjx-container></p><h3 id="Bmatrix"><a href="#Bmatrix" class="headerlink" title="Bmatrix"></a>Bmatrix</h3><p><mjx-container class="MathJax" jax="SVG" overflow="overflow" display="true" width="full" style="min-width:23.595ex"><svg style="vertical-align:-3.733ex;min-width:23.595ex" xmlns="http://www.w3.org/2000/svg" width="100%" height="8.597ex" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(0.0181,-0.0181) translate(0, -2150)"><g data-mml-node="math" data-latex="
\begin{Bmatrix}
A & B & C\\
D & E & F\\
G & H & I\\
\end{Bmatrix}
"><g data-mml-node="mtable" data-latex="
\begin{Bmatrix}
A & B & C\\
D & E & F\\
G & H & I\\
\end{Bmatrix}
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0 564 3 588 3 608 3 679 0 699 0 714 0 721 8 721 24 721 34 712 39 694 39 666 39 649 41 644 44 639 47 635 56 634 71L574 689C571 708 572 716 551 716 539 716 529 710 522 697L178 120C148 70 108 43 59 39 43 38 35 30 35 15 35 5 41 0 52 0 68 0 121 3 137 3M492 577 522 267 307 267Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mi" data-latex="B"><path data-c="1D435" d="M756 543C756 634 666 683 568 683L236 683C213 683 203 682 203 659 203 643 223 644 235 644 265 643 283 641 288 640 293 639 295 636 295 631 295 629 294 623 291 613L159 82C154 60 144 47 129 42 122 40 104 39 73 39 52 39 42 31 42 15 42 5 52 0 73 0L426 0C491 0 551 20 608 59 671 102 703 155 703 217 703 296 638 344 567 358 655 379 756 446 756 543M554 644C623 644 658 612 658 547 658 496 638 454 596 420 554 386 507 370 456 370L317 370 377 610C385 644 385 644 427 644M582 299C596 276 603 253 603 228 603 176 583 131 542 94 501 57 455 39 402 39L267 39C257 39 250 39 246 40 240 40 237 42 237 45 237 46 237 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transform="scale(1,1.003)"></path></svg></g></g></g></g></g></svg><svg data-labels="true" preserveAspectRatio="xMaxYMid" viewBox="1278 -2150 1 3800"><g data-labels="true" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="mtd" id="mjx-eqn:4"><g data-mml-node="mtext" data-latex="\text{(4)}"><path data-c="28" d="M318-248C327-248 332-243 332-234 332-231 330-227 327-223 275-183 233-117 202-26 175 53 161 131 161 208L161 292C161 369 175 447 202 526 233 617 275 683 327 723 330 726 332 730 332 734 332 743 327 748 318 748 317 748 314 747 311 745 251 699 201 631 160 540 121 453 101 371 101 292L101 208C101 129 121 47 160-40 201-131 251-199 311-245 314-247 317-248 318-248Z"></path><path data-c="34" d="M353 677C344 677 336 672 330 663L28 199 28 163 289 163 289 81C289 63 285 51 278 46 271 41 252 39 219 39L194 39 194 0C223 2 269 3 331 3 393 3 439 2 468 0L468 39 443 39C410 39 391 41 384 46 377 51 373 63 373 81L373 163 471 163 471 202 373 202 373 660C373 670 366 677 353 677M295 553 295 202 67 202Z" transform="translate(389,0)"></path><path data-c="29" d="M78-245C138-199 188-131 229-40 268 47 288 129 288 208L288 292C288 371 268 453 229 540 188 631 138 699 78 745 75 747 72 748 71 748 62 748 57 743 57 734 57 730 59 726 62 723 114 683 156 617 187 526 214 447 228 369 228 292L228 208C228 131 214 53 187-26 156-117 114-183 62-223 59-227 57-231 57-234 57-243 62-248 71-248 72-248 75-247 78-245Z" transform="translate(889,0)"></path></g></g></g></svg></g></g></g></g></svg></mjx-container></p><h3 id="vmatrix"><a href="#vmatrix" class="headerlink" title="vmatrix"></a>vmatrix</h3><p><mjx-container class="MathJax" jax="SVG" overflow="overflow" display="true" width="full" style="min-width:21.02ex"><svg style="vertical-align:-3.733ex;min-width:21.02ex" xmlns="http://www.w3.org/2000/svg" width="100%" height="8.597ex" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(0.0181,-0.0181) translate(0, -2150)"><g data-mml-node="math" data-latex="
\begin{vmatrix}
A & B & C\\
D & E & F\\
G & H & I\\
\end{vmatrix}
"><g data-mml-node="mtable" data-latex="
\begin{vmatrix}
A & B & C\\
D & E & F\\
G & H & I\\
\end{vmatrix}
" transform="translate(2078,0) translate(-2078,0)"><g transform="translate(0 2150) matrix(1 0 0 -1 0 0) scale(55.25)"><svg data-table="true" preserveAspectRatio="xMidYMid" viewBox="2567.5 -2150 1 3800"><g transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="mlabeledtr"><g data-mml-node="mtd"><g data-mml-node="mrow" data-latex-item="{vmatrix}" data-latex="{vmatrix}"><g data-mml-node="mo"><path data-c="2223" d="M145-1515C145-1531 145-1552 166-1552 188-1552 189-1532 189-1515L189 2015C189 2031 188 2052 167 2052 145 2052 145 2032 145 2015Z"></path></g><g data-mml-node="mtable" transform="translate(333,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd" transform="translate(39,0)"><g data-mml-node="mi" data-latex="A"><path data-c="1D434" d="M137 3C155 3 217 0 236 0 251 0 258 8 258 23 258 32 252 38 239 39 210 40 196 50 196 69 196 78 205 98 224 128 251 173 270 206 283 228L526 228C526 221 527 207 530 185 537 112 541 72 541 67 541 48 519 39 474 39 455 39 446 31 446 15 446 5 452 0 464 0 488 0 564 3 588 3 608 3 679 0 699 0 714 0 721 8 721 24 721 34 712 39 694 39 666 39 649 41 644 44 639 47 635 56 634 71L574 689C571 708 572 716 551 716 539 716 529 710 522 697L178 120C148 70 108 43 59 39 43 38 35 30 35 15 35 5 41 0 52 0 68 0 121 3 137 3M492 577 522 267 307 267Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mi" data-latex="B"><path data-c="1D435" d="M756 543C756 634 666 683 568 683L236 683C213 683 203 682 203 659 203 643 223 644 235 644 265 643 283 641 288 640 293 639 295 636 295 631 295 629 294 623 291 613L159 82C154 60 144 47 129 42 122 40 104 39 73 39 52 39 42 31 42 15 42 5 52 0 73 0L426 0C491 0 551 20 608 59 671 102 703 155 703 217 703 296 638 344 567 358 655 379 756 446 756 543M554 644C623 644 658 612 658 547 658 496 638 454 596 420 554 386 507 370 456 370L317 370 377 610C385 644 385 644 427 644M582 299C596 276 603 253 603 228 603 176 583 131 542 94 501 57 455 39 402 39L267 39C257 39 250 39 246 40 240 40 237 42 237 45 237 46 237 49 238 53 269 180 293 276 309 340L493 340C536 340 565 326 582 299Z"></path></g></g><g data-mml-node="mtd" transform="translate(3709,0)"><g data-mml-node="mi" data-latex="C"><path data-c="1D436" d="M148 218C148 346 204 476 267 548 318 607 406 666 505 666 609 666 660 587 660 479 660 470 657 438 657 429 657 420 663 415 676 415 681 415 685 416 688 417 693 424 696 431 698 438L760 691C760 700 755 705 745 705 741 705 735 701 727 692L662 619C623 676 568 705 497 705 442 705 388 692 333 667 222 615 141 533 89 421 63 366 50 310 50 253 50 173 75 108 126 56 177 4 242-22 322-22 401-22 473 7 538 64 565 87 588 115 607 146 634 191 648 222 648 241 648 250 643 255 632 255 623 255 618 251 616 242 595 177 562 125 517 88 460 41 400 17 338 17 218 17 148 98 148 218Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mi" data-latex="D"><path data-c="1D437" d="M567 683 235 683C212 683 201 682 201 660 201 649 212 644 234 644 254 644 294 647 294 631 294 629 293 623 290 613L158 82C153 60 143 47 128 42 121 40 103 39 72 39 50 39 40 37 40 16 40 5 51 0 72 0L399 0C467 0 532 20 595 61 702 130 804 265 804 429 804 577 713 683 567 683M710 466C710 353 659 216 607 149 550 76 475 39 381 39L270 39C259 39 252 39 248 40 242 40 239 42 239 45 239 47 241 54 244 67L379 610C388 643 387 644 429 644L535 644C647 644 710 578 710 466Z"></path></g></g><g data-mml-node="mtd" transform="translate(1885.5,0)"><g data-mml-node="mi" data-latex="E"><path data-c="1D438" d="M199 656C199 646 210 641 231 641 271 641 291 637 291 628 291 625 289 618 286 605L156 82C151 60 141 47 126 42 119 40 101 39 70 39 48 39 38 37 38 16 38 5 49 0 70 0L583 0C607 0 609 2 617 19L657 109C684 171 703 217 714 248 712 257 709 263 698 263 691 263 685 258 681 249 656 190 632 145 608 113 568 59 509 39 415 39L270 39C260 39 253 39 249 40 243 40 240 42 240 45 240 47 242 54 245 67L311 334 406 334C453 334 478 328 483 315 485 310 486 303 486 293 486 280 484 264 479 245 477 240 476 236 476 233 476 223 482 218 493 218 502 218 508 226 512 241L568 473C568 483 563 488 552 488 544 488 538 481 535 467 525 428 512 403 495 391 478 379 450 373 409 373L321 373 379 606C387 640 387 641 429 641L568 641C619 641 654 636 673 626 701 611 715 581 715 536 715 519 714 501 711 484 711 482 711 479 710 475L710 466C710 455 715 450 725 450 735 450 741 459 743 478L763 649C766 677 759 680 732 680L233 680C210 680 199 679 199 656Z"></path></g></g><g data-mml-node="mtd" transform="translate(3713.5,0)"><g data-mml-node="mi" data-latex="F"><path data-c="1D439" d="M199 656C199 646 210 641 231 641 271 641 291 637 291 628 291 625 289 618 286 605L156 82C150 60 140 47 126 42 119 40 101 39 70 39 48 39 38 37 38 16 38 5 44 0 57 0L187 3 335 0C351 0 359 8 359 23 359 40 348 39 322 39 278 39 253 41 247 46 244 47 243 51 243 56L307 321 400 321C446 321 478 319 478 281 478 268 476 252 471 233 470 230 469 226 468 222 468 211 473 206 484 206 489 207 496 214 503 229L557 444C559 452 560 458 560 461 557 470 551 475 544 475 536 475 530 467 526 452 516 414 502 390 486 378 470 366 442 360 402 360L317 360 379 606C387 640 387 641 429 641L559 641C656 641 700 626 700 537 700 517 699 499 697 484 696 473 695 467 695 466 695 455 700 450 710 450 720 450 726 459 728 478L748 649C751 677 744 680 717 680L233 680C210 680 199 679 199 656Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd" transform="translate(21,0)"><g data-mml-node="mi" data-latex="G"><path data-c="1D43A" d="M324-22C412-22 481 5 532 59 538 46 564 1 578 1 583 1 586 4 588 8 590 12 597 32 606 68L624 144C630 167 634 184 637 195 648 239 648 238 702 239 715 239 721 247 721 263 721 273 716 278 705 278 686 278 620 274 601 275L462 278C446 278 438 270 438 254 438 245 444 241 456 240 513 237 543 235 546 233 549 231 550 227 550 222 550 215 543 185 530 133 510 61 436 17 343 17 221 17 148 98 148 220 148 239 150 263 153 290 164 372 218 487 261 540 311 603 403 666 505 666 609 666 660 587 660 479 660 470 657 438 657 429 657 420 663 415 676 415 681 415 685 416 688 417 693 424 696 431 698 438L760 691C760 700 755 705 745 705 741 705 735 701 727 692L662 619C623 676 568 705 497 705 442 705 388 692 333 667 222 615 141 533 89 421 63 366 50 310 50 253 50 93 164-22 324-22Z"></path></g></g><g data-mml-node="mtd" transform="translate(1828,0)"><g data-mml-node="mi" data-latex="H"><path data-c="1D43B" d="M881 668C881 678 875 683 863 683L736 680 609 683C593 683 586 674 586 659 586 652 589 647 594 646 604 645 612 644 617 644 648 643 665 641 670 640 675 639 678 636 678 631 677 628 676 622 674 613L615 375 321 375 379 602C384 623 393 636 406 641 413 643 430 644 458 644 485 644 496 644 496 668 496 678 490 683 478 683L351 680 223 683C207 683 200 674 200 659 200 652 203 647 209 646 219 645 227 644 232 644 263 643 281 641 286 640 291 639 293 636 293 631 293 629 292 623 289 613L156 82C151 60 141 47 126 42 119 40 101 39 70 39 48 39 39 37 39 15 39 5 45 0 57 0L183 3 246 2C257 2 299 0 310 0 326 0 334 8 334 24 334 34 323 39 302 39 262 39 242 43 242 52 242 52 243 55 245 68L312 336 605 336 538 68C535 53 523 43 503 40 498 39 481 39 452 39 433 39 424 31 424 15 424 5 430 0 442 0L568 3 631 2C642 2 683 0 696 0 712 0 720 8 720 24 720 34 709 39 688 39 647 39 627 43 627 52 627 52 628 55 630 68L764 602C769 623 778 636 791 641 797 643 814 644 843 644 869 644 881 644 881 668Z"></path></g></g><g data-mml-node="mtd" transform="translate(3840.5,0)"><g data-mml-node="mi" data-latex="I"><path data-c="1D43C" d="M497 667C497 678 491 683 478 683L349 680 218 683C202 684 194 676 194 659 194 649 205 644 226 644 269 644 290 639 290 630 290 625 289 620 288 615L155 82C150 60 140 47 125 42 118 40 100 39 69 39 44 39 34 38 34 15 34 5 40 0 53 0L181 3 313 0C329-1 337 7 337 23 337 39 325 39 303 39 264 39 240 37 240 53 240 58 241 65 244 75L376 602C381 623 391 636 406 641 413 643 431 644 462 644 486 644 497 645 497 667Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(4802,0)"><path data-c="2223" d="M145-1515C145-1531 145-1552 166-1552 188-1552 189-1532 189-1515L189 2015C189 2031 188 2052 167 2052 145 2052 145 2032 145 2015Z"></path></g></g></g></g></g></svg><svg data-labels="true" preserveAspectRatio="xMaxYMid" viewBox="1278 -2150 1 3800"><g data-labels="true" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="mtd" id="mjx-eqn:5"><g data-mml-node="mtext" data-latex="\text{(5)}"><path data-c="28" d="M318-248C327-248 332-243 332-234 332-231 330-227 327-223 275-183 233-117 202-26 175 53 161 131 161 208L161 292C161 369 175 447 202 526 233 617 275 683 327 723 330 726 332 730 332 734 332 743 327 748 318 748 317 748 314 747 311 745 251 699 201 631 160 540 121 453 101 371 101 292L101 208C101 129 121 47 160-40 201-131 251-199 311-245 314-247 317-248 318-248Z"></path><path data-c="35" d="M118 315C123 315 129 319 134 326 164 371 205 393 257 393 292 393 319 373 337 332 348 305 354 264 354 209 354 146 346 102 331 76 306 35 272 14 229 14 162 14 109 62 91 114 94 113 96 114 100 114 130 114 155 137 155 167 155 198 130 219 100 219 65 219 50 200 50 163 50 63 131-22 231-22 292-22 344 0 386 44 428 88 449 141 449 202 449 260 432 310 398 353 361 400 315 423 259 423 212 423 171 408 138 378L138 556C165 548 191 544 218 544 264 544 304 555 338 578 369 597 390 616 402 634 408 642 411 648 411 651 411 661 406 666 396 666 341 645 294 634 256 634 211 634 168 643 127 662 122 664 118 665 114 665 105 665 100 656 100 637L100 345C100 324 100 315 118 315Z" transform="translate(389,0)"></path><path data-c="29" d="M78-245C138-199 188-131 229-40 268 47 288 129 288 208L288 292C288 371 268 453 229 540 188 631 138 699 78 745 75 747 72 748 71 748 62 748 57 743 57 734 57 730 59 726 62 723 114 683 156 617 187 526 214 447 228 369 228 292L228 208C228 131 214 53 187-26 156-117 114-183 62-223 59-227 57-231 57-234 57-243 62-248 71-248 72-248 75-247 78-245Z" transform="translate(889,0)"></path></g></g></g></svg></g></g></g></g></svg></mjx-container></p><h3 id="Vmatrix"><a href="#Vmatrix" class="headerlink" title="Vmatrix"></a>Vmatrix</h3><p><mjx-container class="MathJax" jax="SVG" overflow="overflow" display="true" width="full" style="min-width:22.025ex"><svg style="vertical-align:-3.733ex;min-width:22.025ex" xmlns="http://www.w3.org/2000/svg" width="100%" height="8.597ex" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(0.0181,-0.0181) translate(0, -2150)"><g data-mml-node="math" data-latex="
\begin{Vmatrix}
A & B & C\\
D & E & F\\
G & H & I\\
\end{Vmatrix}
"><g data-mml-node="mtable" data-latex="
\begin{Vmatrix}
A & B & C\\
D & E & F\\
G & H & I\\
\end{Vmatrix}
" transform="translate(2078,0) translate(-2078,0)"><g transform="translate(0 2150) matrix(1 0 0 -1 0 0) scale(55.25)"><svg data-table="true" preserveAspectRatio="xMidYMid" viewBox="2789.5 -2150 1 3800"><g transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="mlabeledtr"><g data-mml-node="mtd"><g data-mml-node="mrow" data-latex-item="{Vmatrix}" data-latex="{Vmatrix}"><g data-mml-node="mo"><path data-c="2225" d="M203-1531 203 2031C203 2043 190 2053 178 2053 166 2053 153 2043 153 2031L153-1531C153-1543 166-1553 178-1553 190-1553 203-1543 203-1531M401-1531 401 2031C401 2043 388 2053 376 2053 364 2053 351 2043 351 2031L351-1531C351-1543 364-1553 376-1553 388-1553 401-1543 401-1531Z"></path></g><g data-mml-node="mtable" transform="translate(555,0)"><g data-mml-node="mtr" transform="translate(0,1400)"><g data-mml-node="mtd" transform="translate(39,0)"><g data-mml-node="mi" data-latex="A"><path data-c="1D434" d="M137 3C155 3 217 0 236 0 251 0 258 8 258 23 258 32 252 38 239 39 210 40 196 50 196 69 196 78 205 98 224 128 251 173 270 206 283 228L526 228C526 221 527 207 530 185 537 112 541 72 541 67 541 48 519 39 474 39 455 39 446 31 446 15 446 5 452 0 464 0 488 0 564 3 588 3 608 3 679 0 699 0 714 0 721 8 721 24 721 34 712 39 694 39 666 39 649 41 644 44 639 47 635 56 634 71L574 689C571 708 572 716 551 716 539 716 529 710 522 697L178 120C148 70 108 43 59 39 43 38 35 30 35 15 35 5 41 0 52 0 68 0 121 3 137 3M492 577 522 267 307 267Z"></path></g></g><g data-mml-node="mtd" transform="translate(1889,0)"><g data-mml-node="mi" data-latex="B"><path data-c="1D435" d="M756 543C756 634 666 683 568 683L236 683C213 683 203 682 203 659 203 643 223 644 235 644 265 643 283 641 288 640 293 639 295 636 295 631 295 629 294 623 291 613L159 82C154 60 144 47 129 42 122 40 104 39 73 39 52 39 42 31 42 15 42 5 52 0 73 0L426 0C491 0 551 20 608 59 671 102 703 155 703 217 703 296 638 344 567 358 655 379 756 446 756 543M554 644C623 644 658 612 658 547 658 496 638 454 596 420 554 386 507 370 456 370L317 370 377 610C385 644 385 644 427 644M582 299C596 276 603 253 603 228 603 176 583 131 542 94 501 57 455 39 402 39L267 39C257 39 250 39 246 40 240 40 237 42 237 45 237 46 237 49 238 53 269 180 293 276 309 340L493 340C536 340 565 326 582 299Z"></path></g></g><g data-mml-node="mtd" transform="translate(3709,0)"><g data-mml-node="mi" data-latex="C"><path data-c="1D436" d="M148 218C148 346 204 476 267 548 318 607 406 666 505 666 609 666 660 587 660 479 660 470 657 438 657 429 657 420 663 415 676 415 681 415 685 416 688 417 693 424 696 431 698 438L760 691C760 700 755 705 745 705 741 705 735 701 727 692L662 619C623 676 568 705 497 705 442 705 388 692 333 667 222 615 141 533 89 421 63 366 50 310 50 253 50 173 75 108 126 56 177 4 242-22 322-22 401-22 473 7 538 64 565 87 588 115 607 146 634 191 648 222 648 241 648 250 643 255 632 255 623 255 618 251 616 242 595 177 562 125 517 88 460 41 400 17 338 17 218 17 148 98 148 218Z"></path></g></g></g><g data-mml-node="mtr"><g data-mml-node="mtd"><g data-mml-node="mi" data-latex="D"><path data-c="1D437" d="M567 683 235 683C212 683 201 682 201 660 201 649 212 644 234 644 254 644 294 647 294 631 294 629 293 623 290 613L158 82C153 60 143 47 128 42 121 40 103 39 72 39 50 39 40 37 40 16 40 5 51 0 72 0L399 0C467 0 532 20 595 61 702 130 804 265 804 429 804 577 713 683 567 683M710 466C710 353 659 216 607 149 550 76 475 39 381 39L270 39C259 39 252 39 248 40 242 40 239 42 239 45 239 47 241 54 244 67L379 610C388 643 387 644 429 644L535 644C647 644 710 578 710 466Z"></path></g></g><g data-mml-node="mtd" transform="translate(1885.5,0)"><g data-mml-node="mi" data-latex="E"><path data-c="1D438" d="M199 656C199 646 210 641 231 641 271 641 291 637 291 628 291 625 289 618 286 605L156 82C151 60 141 47 126 42 119 40 101 39 70 39 48 39 38 37 38 16 38 5 49 0 70 0L583 0C607 0 609 2 617 19L657 109C684 171 703 217 714 248 712 257 709 263 698 263 691 263 685 258 681 249 656 190 632 145 608 113 568 59 509 39 415 39L270 39C260 39 253 39 249 40 243 40 240 42 240 45 240 47 242 54 245 67L311 334 406 334C453 334 478 328 483 315 485 310 486 303 486 293 486 280 484 264 479 245 477 240 476 236 476 233 476 223 482 218 493 218 502 218 508 226 512 241L568 473C568 483 563 488 552 488 544 488 538 481 535 467 525 428 512 403 495 391 478 379 450 373 409 373L321 373 379 606C387 640 387 641 429 641L568 641C619 641 654 636 673 626 701 611 715 581 715 536 715 519 714 501 711 484 711 482 711 479 710 475L710 466C710 455 715 450 725 450 735 450 741 459 743 478L763 649C766 677 759 680 732 680L233 680C210 680 199 679 199 656Z"></path></g></g><g data-mml-node="mtd" transform="translate(3713.5,0)"><g data-mml-node="mi" data-latex="F"><path data-c="1D439" d="M199 656C199 646 210 641 231 641 271 641 291 637 291 628 291 625 289 618 286 605L156 82C150 60 140 47 126 42 119 40 101 39 70 39 48 39 38 37 38 16 38 5 44 0 57 0L187 3 335 0C351 0 359 8 359 23 359 40 348 39 322 39 278 39 253 41 247 46 244 47 243 51 243 56L307 321 400 321C446 321 478 319 478 281 478 268 476 252 471 233 470 230 469 226 468 222 468 211 473 206 484 206 489 207 496 214 503 229L557 444C559 452 560 458 560 461 557 470 551 475 544 475 536 475 530 467 526 452 516 414 502 390 486 378 470 366 442 360 402 360L317 360 379 606C387 640 387 641 429 641L559 641C656 641 700 626 700 537 700 517 699 499 697 484 696 473 695 467 695 466 695 455 700 450 710 450 720 450 726 459 728 478L748 649C751 677 744 680 717 680L233 680C210 680 199 679 199 656Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-1400)"><g data-mml-node="mtd" transform="translate(21,0)"><g data-mml-node="mi" data-latex="G"><path data-c="1D43A" d="M324-22C412-22 481 5 532 59 538 46 564 1 578 1 583 1 586 4 588 8 590 12 597 32 606 68L624 144C630 167 634 184 637 195 648 239 648 238 702 239 715 239 721 247 721 263 721 273 716 278 705 278 686 278 620 274 601 275L462 278C446 278 438 270 438 254 438 245 444 241 456 240 513 237 543 235 546 233 549 231 550 227 550 222 550 215 543 185 530 133 510 61 436 17 343 17 221 17 148 98 148 220 148 239 150 263 153 290 164 372 218 487 261 540 311 603 403 666 505 666 609 666 660 587 660 479 660 470 657 438 657 429 657 420 663 415 676 415 681 415 685 416 688 417 693 424 696 431 698 438L760 691C760 700 755 705 745 705 741 705 735 701 727 692L662 619C623 676 568 705 497 705 442 705 388 692 333 667 222 615 141 533 89 421 63 366 50 310 50 253 50 93 164-22 324-22Z"></path></g></g><g data-mml-node="mtd" transform="translate(1828,0)"><g data-mml-node="mi" data-latex="H"><path data-c="1D43B" d="M881 668C881 678 875 683 863 683L736 680 609 683C593 683 586 674 586 659 586 652 589 647 594 646 604 645 612 644 617 644 648 643 665 641 670 640 675 639 678 636 678 631 677 628 676 622 674 613L615 375 321 375 379 602C384 623 393 636 406 641 413 643 430 644 458 644 485 644 496 644 496 668 496 678 490 683 478 683L351 680 223 683C207 683 200 674 200 659 200 652 203 647 209 646 219 645 227 644 232 644 263 643 281 641 286 640 291 639 293 636 293 631 293 629 292 623 289 613L156 82C151 60 141 47 126 42 119 40 101 39 70 39 48 39 39 37 39 15 39 5 45 0 57 0L183 3 246 2C257 2 299 0 310 0 326 0 334 8 334 24 334 34 323 39 302 39 262 39 242 43 242 52 242 52 243 55 245 68L312 336 605 336 538 68C535 53 523 43 503 40 498 39 481 39 452 39 433 39 424 31 424 15 424 5 430 0 442 0L568 3 631 2C642 2 683 0 696 0 712 0 720 8 720 24 720 34 709 39 688 39 647 39 627 43 627 52 627 52 628 55 630 68L764 602C769 623 778 636 791 641 797 643 814 644 843 644 869 644 881 644 881 668Z"></path></g></g><g data-mml-node="mtd" transform="translate(3840.5,0)"><g data-mml-node="mi" data-latex="I"><path data-c="1D43C" d="M497 667C497 678 491 683 478 683L349 680 218 683C202 684 194 676 194 659 194 649 205 644 226 644 269 644 290 639 290 630 290 625 289 620 288 615L155 82C150 60 140 47 125 42 118 40 100 39 69 39 44 39 34 38 34 15 34 5 40 0 53 0L181 3 313 0C329-1 337 7 337 23 337 39 325 39 303 39 264 39 240 37 240 53 240 58 241 65 244 75L376 602C381 623 391 636 406 641 413 643 431 644 462 644 486 644 497 645 497 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317-248 318-248Z"></path><path data-c="36" d="M383 504C416 504 432 521 432 555 432 627 378 666 304 666 221 666 155 627 106 548 63 480 42 403 42 316 42 189 65 100 112 47 152 1 198-22 251-22 312-22 362 1 401 47 438 91 457 144 457 205 457 266 439 318 403 361 365 407 316 431 257 431 205 431 165 402 138 346L138 352C138 465 166 561 226 605 252 624 279 633 306 633 342 633 368 623 385 602 351 602 334 583 334 553 334 525 355 504 383 504M344 340C355 317 361 272 361 206 361 141 356 98 345 76 325 35 294 14 251 14 222 14 200 24 184 44 171 60 162 74 158 85 146 116 140 163 140 227 140 255 144 282 151 308 164 355 201 399 256 399 295 399 325 379 344 340Z" transform="translate(389,0)"></path><path data-c="29" d="M78-245C138-199 188-131 229-40 268 47 288 129 288 208L288 292C288 371 268 453 229 540 188 631 138 699 78 745 75 747 72 748 71 748 62 748 57 743 57 734 57 730 59 726 62 723 114 683 156 617 187 526 214 447 228 369 228 292L228 208C228 131 214 53 187-26 156-117 114-183 62-223 59-227 57-231 57-234 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\begin{bmatrix}
A & B & \cdots & C \\
D & E & \cdots & F \\
\vdots & \vdots & \ddots & \vdots \\
G & H & \cdots & I \\
\end{bmatrix}
"><g data-mml-node="mtable" data-latex="
\begin{bmatrix}
A & B & \cdots & C \\
D & E & \cdots & F \\
\vdots & \vdots & \ddots & \vdots \\
G & H & \cdots & I \\
\end{bmatrix}
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39 322 39 278 39 253 41 247 46 244 47 243 51 243 56L307 321 400 321C446 321 478 319 478 281 478 268 476 252 471 233 470 230 469 226 468 222 468 211 473 206 484 206 489 207 496 214 503 229L557 444C559 452 560 458 560 461 557 470 551 475 544 475 536 475 530 467 526 452 516 414 502 390 486 378 470 366 442 360 402 360L317 360 379 606C387 640 387 641 429 641L559 641C656 641 700 626 700 537 700 517 699 499 697 484 696 473 695 467 695 466 695 455 700 450 710 450 720 450 726 459 728 478L748 649C751 677 744 680 717 680L233 680C210 680 199 679 199 656Z"></path></g></g></g><g data-mml-node="mtr" transform="translate(0,-700)"><g data-mml-node="mtd" transform="translate(305,0)"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mo" data-latex="\vdots"><path data-c="22EE" d="M162 526C162 556 139 582 109 582 79 582 56 556 56 526 56 495 79 469 109 469 139 469 162 496 162 526M162 250C162 280 139 306 109 306 79 306 56 281 56 250 56 219 79 194 109 194 139 194 162 220 162 250M162-26C162 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250Z"></path></g></g><g data-mml-node="mtd" transform="translate(5756,0)"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mo" data-latex="\vdots"><path data-c="22EE" d="M162 526C162 556 139 582 109 582 79 582 56 556 56 526 56 495 79 469 109 469 139 469 162 496 162 526M162 250C162 280 139 306 109 306 79 306 56 281 56 250 56 219 79 194 109 194 139 194 162 220 162 250M162-26C162 5 139 31 109 31 79 31 56 5 56-26 56-56 79-82 109-82 139-82 162-56 162-26Z"></path></g></g></g></g><g data-mml-node="mtr" transform="translate(0,-2100)"><g data-mml-node="mtd" transform="translate(21,0)"><g data-mml-node="mi" data-latex="G"><path data-c="1D43A" d="M324-22C412-22 481 5 532 59 538 46 564 1 578 1 583 1 586 4 588 8 590 12 597 32 606 68L624 144C630 167 634 184 637 195 648 239 648 238 702 239 715 239 721 247 721 263 721 273 716 278 705 278 686 278 620 274 601 275L462 278C446 278 438 270 438 254 438 245 444 241 456 240 513 237 543 235 546 233 549 231 550 227 550 222 550 215 543 185 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293 629 292 623 289 613L156 82C151 60 141 47 126 42 119 40 101 39 70 39 48 39 39 37 39 15 39 5 45 0 57 0L183 3 246 2C257 2 299 0 310 0 326 0 334 8 334 24 334 34 323 39 302 39 262 39 242 43 242 52 242 52 243 55 245 68L312 336 605 336 538 68C535 53 523 43 503 40 498 39 481 39 452 39 433 39 424 31 424 15 424 5 430 0 442 0L568 3 631 2C642 2 683 0 696 0 712 0 720 8 720 24 720 34 709 39 688 39 647 39 627 43 627 52 627 52 628 55 630 68L764 602C769 623 778 636 791 641 797 643 814 644 843 644 869 644 881 644 881 668Z"></path></g></g><g data-mml-node="mtd" transform="translate(3709,0)"><g data-mml-node="mo" data-latex="\cdots"><path data-c="22EF" d="M720 250C720 280 694 303 664 303 633 303 607 280 607 250 607 220 633 197 664 197 694 197 720 220 720 250M444 250C444 280 418 303 388 303 357 303 332 280 332 250 332 220 357 197 388 197 418 197 444 220 444 250M169 250C169 280 143 303 112 303 82 303 56 280 56 250 56 220 82 197 112 197 142 197 169 220 169 250Z"></path></g></g><g data-mml-node="mtd" transform="translate(5616.5,0)"><g data-mml-node="mi" data-latex="I"><path data-c="1D43C" d="M497 667C497 678 491 683 478 683L349 680 218 683C202 684 194 676 194 659 194 649 205 644 226 644 269 644 290 639 290 630 290 625 289 620 288 615L155 82C150 60 140 47 125 42 118 40 100 39 69 39 44 39 34 38 34 15 34 5 40 0 53 0L181 3 313 0C329-1 337 7 337 23 337 39 325 39 303 39 264 39 240 37 240 53 240 58 241 65 244 75L376 602C381 623 391 636 406 641 413 643 431 644 462 644 486 644 497 645 497 667Z"></path></g></g></g></g><g data-mml-node="mo" transform="translate(6912,0)"><path data-c="23A4" d="M280 0 346 0 346 1500 53 1500C31 1500 20 1489 20 1466 20 1443 31 1432 53 1432L280 1432Z" transform="translate(0,1350)"></path><path data-c="23A6" d="M53 0 346 0 346 1500 280 1500 280 68 53 68C31 68 20 57 20 34 20 11 31 0 53 0Z" transform="translate(0,-2350)"></path><svg width="667" height="2400" y="-950" x="0" viewBox="0 600 667 2400"><path data-c="23A5" d="M280 0 346 0 346 1000 280 1000Z" transform="scale(1,3.6)"></path></svg></g></g></g></g></g></svg><svg data-labels="true" preserveAspectRatio="xMaxYMid" viewBox="1278 -2850 1 5200"><g data-labels="true" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="mtd" id="mjx-eqn:7"><g data-mml-node="mtext" data-latex="\text{(7)}"><path data-c="28" d="M318-248C327-248 332-243 332-234 332-231 330-227 327-223 275-183 233-117 202-26 175 53 161 131 161 208L161 292C161 369 175 447 202 526 233 617 275 683 327 723 330 726 332 730 332 734 332 743 327 748 318 748 317 748 314 747 311 745 251 699 201 631 160 540 121 453 101 371 101 292L101 208C101 129 121 47 160-40 201-131 251-199 311-245 314-247 317-248 318-248Z"></path><path data-c="37" d="M475 604C482 613 485 626 485 644L243 644C174 644 135 648 128 657 125 660 122 667 120 676L89 676 55 464 88 464C98 520 106 550 112 555 115 558 146 560 205 560L401 560 295 410C214 295 174 171 174 36 174-3 190-22 223-22 256-22 272-3 272 36L272 87C272 239 296 349 343 416Z" transform="translate(389,0)"></path><path data-c="29" d="M78-245C138-199 188-131 229-40 268 47 288 129 288 208L288 292C288 371 268 453 229 540 188 631 138 699 78 745 75 747 72 748 71 748 62 748 57 743 57 734 57 730 59 726 62 723 114 683 156 617 187 526 214 447 228 369 228 292L228 208C228 131 214 53 187-26 156-117 114-183 62-223 59-227 57-231 57-234 57-243 62-248 71-248 72-248 75-247 78-245Z" transform="translate(889,0)"></path></g></g></g></svg></g></g></g></g></svg></mjx-container></p><figure class="highlight plaintext"><table><tbody><tr><td class="code"><pre><span class="line">\begin{bmatrix}</span><br><span class="line">A & B & \cdots & C \\</span><br><span class="line">D & E & \cdots & F \\</span><br><span class="line">\vdots & \vdots & \ddots & \vdots \\</span><br><span class="line">G & H & \cdots & I \\</span><br><span class="line">\end{bmatrix}</span><br></pre></td></tr></tbody></table></figure></div><div class="story post-story"><h2 id="矩阵方程（函数）"><a href="#矩阵方程（函数）" class="headerlink" title="矩阵方程（函数）"></a>矩阵方程（函数）</h2><p>使用 <strong>\begin{equation}</strong> 作为整个公式块的开始，以 <strong>\end{equation}</strong> 结束。在里面再配合其他符号的语法使用即可。</p><p>一个简单的例子如下（这里使用 <strong>bmatrix</strong> 做示范，其他的类似）。</p><p><mjx-container class="MathJax" jax="SVG" overflow="overflow" display="true" width="full" style="min-width:37.442ex"><svg style="vertical-align:-5.317ex;min-width:37.442ex" xmlns="http://www.w3.org/2000/svg" width="100%" height="11.765ex" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(0.0181,-0.0181) translate(0, -2850)"><g data-mml-node="math" data-latex="
\begin{equation}
H_x=\frac{1}{3}\times{
\begin{bmatrix}
A & B & \cdots & C \\
D & E & \cdots & F \\
\vdots & \vdots & \ddots & \vdots\\
G & H & \cdots & I \\
\end{bmatrix} }
\end{equation}
"><g data-mml-node="mtable" data-latex-item="{equation}" data-latex="
\begin{equation}
H_x=\frac{1}{3}\times{
\begin{bmatrix}
A & B & \cdots & C \\
D & E & \cdots & F \\
\vdots & \vdots & \ddots & \vdots\\
G & H & \cdots & I \\
\end{bmatrix} }
\end{equation}
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666M379 515C379 463 348 418 286 381L167 459C136 479 120 505 120 536 120 596 185 633 249 633 318 633 379 584 379 515M250 14C168 14 99 73 99 153 99 220 136 274 210 315L328 240C376 209 400 174 400 134 400 62 325 14 250 14Z" transform="translate(389,0)"></path><path data-c="29" d="M78-245C138-199 188-131 229-40 268 47 288 129 288 208L288 292C288 371 268 453 229 540 188 631 138 699 78 745 75 747 72 748 71 748 62 748 57 743 57 734 57 730 59 726 62 723 114 683 156 617 187 526 214 447 228 369 228 292L228 208C228 131 214 53 187-26 156-117 114-183 62-223 59-227 57-231 57-234 57-243 62-248 71-248 72-248 75-247 78-245Z" transform="translate(889,0)"></path></g></g></g></svg></g></g></g></g></svg></mjx-container></p><figure class="highlight plaintext"><table><tbody><tr><td class="code"><pre><span class="line">\begin{equation}</span><br><span class="line">H_x=\frac{1}{3}\times{</span><br><span class="line">\begin{bmatrix}</span><br><span class="line">A & B & \cdots & C \\</span><br><span class="line">D & E & \cdots & F \\</span><br><span class="line">\vdots & \vdots & \ddots & \vdots\\</span><br><span class="line">G & H & \cdots & I \\</span><br><span class="line">\end{bmatrix}}</span><br><span class="line">\end{equation}</span><br></pre></td></tr></tbody></table></figure></div><div class="story post-story"><h2 id="其他符号"><a href="#其他符号" class="headerlink" title="其他符号"></a>其他符号</h2><table><thead><tr><th>符号</th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.025ex" xmlns="http://www.w3.org/2000/svg" width="2.262ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 1000 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\infty"><g data-mml-node="mi" data-latex="\infty"><path data-c="221E" d="M749-11C807-11 855 13 892 60 926 104 943 156 943 216 943 275 926 327 893 371 856 418 809 442 752 442 684 442 625 416 576 364 547 332 524 303 507 278 464 329 435 361 421 373 367 419 310 442 250 442 192 442 144 418 107 371 73 327 56 275 56 215 56 156 73 104 106 60 143 13 190-11 247-11 315-11 374 15 423 67 452 99 475 128 492 153 535 102 564 70 578 58 632 12 689-11 749-11M913 216C913 188 911 168 908 156 903 137 890 117 869 94 840 61 805 44 765 44 722 44 680 67 637 113 592 168 559 209 538 237 601 348 675 403 759 403 852 403 913 314 913 216M86 215C86 260 100 299 128 334 156 369 191 387 234 387 277 387 319 364 362 318 407 263 440 222 461 194 398 83 324 28 240 28 147 28 86 117 86 215Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.011ex" xmlns="http://www.w3.org/2000/svg" width="2.19ex" height="1.688ex" role="img" focusable="false" viewBox="0 -741 968 746"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\triangle"><g data-mml-node="mi" data-latex="\triangle"><path data-c="25B3" d="M888-5C904-5 912 3 912 19 912 23 911 27 908 31L504 729C499 737 493 741 484 741 475 741 469 737 464 729L60 31C57 27 56 23 56 19 56 3 64-5 80-5M484 670 847 42 121 42Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:.029ex" xmlns="http://www.w3.org/2000/svg" width="1.76ex" height="1.609ex" role="img" focusable="false" viewBox="0 -724 778 711"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\angle"><g data-mml-node="mi" data-latex="\angle"><path data-c="2220" d="M698 60 134 60 716 685C720 689 722 694 722 700 722 716 714 724 698 724 691 724 685 722 681 717L62 53C58 48 56 42 56 37 56 21 64 13 80 13L698 13C714 13 722 21 722 37 722 49 711 60 698 60Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.061ex" xmlns="http://www.w3.org/2000/svg" width="1.885ex" height="1.643ex" role="img" focusable="false" viewBox="0 -699 833 726"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\checkmark"><g data-mml-node="mi" data-latex="\checkmark"><path data-c="2713" d="M84 229 218 5C226-8 232-17 234-21 236-25 241-27 249-27 261-27 276-21 294-10 312 1 322 13 325 24 359 181 418 318 503 435 565 520 637 593 718 654 738 669 748 681 748 688 748 695 743 699 733 699 677 699 525 544 486 498 389 384 317 258 269 121L180 266C173 277 167 283 161 283 139 283 84 250 84 229Z"></path></g></g></g></svg></mjx-container></th><th><mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.075ex" xmlns="http://www.w3.org/2000/svg" width="1.885ex" height="1.62ex" role="img" focusable="false" viewBox="0 -683 833 716"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\nabla"><g data-mml-node="mi" data-latex="\nabla"><path data-c="2207" d="M780 657C783 664 785 669 785 671 785 679 776 683 759 683L73 683C56 683 47 679 47 670L387-13C394-26 403-33 416-33 429-33 438-26 445-13M445 72 179 605 710 605Z"></path></g></g></g></svg></mjx-container></th></tr></thead><tbody><tr><td>语法</td><td>\infty</td><td>\triangle</td><td>\angle</td><td>\checkmark</td><td>\nabla</td></tr></tbody></table></div><div class="story post-story"><h2 id="公式引用"><a href="#公式引用" class="headerlink" title="公式引用"></a>公式引用</h2><p><mjx-container class="MathJax" jax="SVG" overflow="overflow" display="true" width="full" style="min-width:20.154ex"><svg style="vertical-align:-.713ex;min-width:20.154ex" xmlns="http://www.w3.org/2000/svg" width="100%" height="2.557ex" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(0.0181,-0.0181) translate(0, -815.2)"><g data-mml-node="math" data-latex="
e^{i\pi}+1=0 \label{f1}
"><g data-mml-node="mtable" data-latex="
e^{i\pi}+1=0 \label{f1}
" transform="translate(2078,0) translate(-2078,0)"><g transform="translate(0 815.2) matrix(1 0 0 -1 0 0) scale(55.25)"><svg data-table="true" preserveAspectRatio="xMidYMid" viewBox="2376 -815.2 1 1130.4"><g transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="mlabeledtr" transform="translate(0,-65.2)"><g data-mml-node="mtd"><g data-mml-node="msup" data-latex="e^{i\pi}"><g data-mml-node="mi" data-latex="e"><path data-c="1D452" d="M124 129C124 153 129 186 139 227L188 227C253 227 303 235 339 250 372 264 394 284 405 309 412 326 415 342 415 355 415 410 363 442 307 442 268 442 229 432 190 412 113 372 46 281 46 171 46 69 105-11 204-11 257-11 304 2 345 27 379 48 404 69 420 90 427 99 430 106 430 109 430 120 425 126 414 126 409 126 404 122 398 114 365 70 324 42 277 30 246 22 223 18 206 18 149 18 124 72 124 129M375 355C375 289 311 256 182 256L147 256C166 322 194 366 232 387 262 404 287 413 307 413 343 413 375 391 375 355Z"></path></g><g data-mml-node="TeXAtom" transform="translate(499,413) scale(0.707)" data-latex="{i\pi}" data-mjx-texclass="ORD"><g data-mml-node="mi" data-latex="i"><path data-c="1D456" d="M284 621C284 648 271 661 244 661 216 661 188 633 188 605 188 578 202 565 229 565 257 565 284 593 284 621M259 138C237 59 205 19 164 19 151 19 144 28 144 47 144 64 173 150 232 306 240 329 244 347 244 360 244 409 210 445 161 445 118 445 84 420 59 369 39 328 29 301 29 288 29 279 34 275 45 275 58 275 60 281 64 295 87 375 118 415 158 415 171 415 178 406 178 387 178 373 175 357 168 338 145 275 121 208 101 155 86 115 78 88 78 74 78 25 114-11 162-11 205-11 239 14 264 64 283 103 293 130 293 145 293 154 288 159 277 159 274 159 259 150 259 138Z"></path></g><g data-mml-node="mi" data-latex="\pi" transform="translate(345,0)"><path data-c="1D70B" d="M524 431 194 431C153 431 117 415 88 384 74 369 27 305 27 292 31 285 31 279 43 279 50 279 56 283 62 292 94 341 135 366 184 366L235 366C212 279 170 172 110 45 105 33 102 24 102 19 102-1 113-11 134-11 153-11 167 0 176 21 194 78 207 122 214 152L269 366 372 366C345 247 331 164 331 117 331 68 342-11 379-11 400-11 423 9 423 30 423 35 421 43 417 53 398 100 389 153 389 214 389 261 395 312 406 366L515 366C550 366 567 378 567 403 567 426 549 431 524 431Z"></path></g></g></g><g data-mml-node="mo" data-latex="+" transform="translate(1418.2,0)"><path data-c="2B" d="M698 274 413 274 413 559C413 575 405 583 389 583 373 583 365 575 365 559L365 274 80 274C64 274 56 266 56 250 56 234 64 226 80 226L365 226 365-59C365-75 373-83 389-83 405-83 413-75 413-59L413 226 698 226C714 226 722 234 722 250 722 263 711 274 698 274Z"></path></g><g data-mml-node="mn" data-latex="1" transform="translate(2418.4,0)"><path data-c="31" d="M269 666C228 624 168 603 89 603L89 564C141 564 184 572 217 588L217 82C217 64 213 52 204 47 195 42 170 39 130 39L95 39 95 0C120 2 174 3 257 3 340 3 394 2 419 0L419 39 384 39C343 39 318 42 310 47 302 52 297 64 297 82L297 636C297 660 295 666 269 666Z"></path></g><g data-mml-node="mo" data-latex="=" transform="translate(3196.2,0)"><path data-c="3D" d="M698 367 80 367C64 367 56 359 56 344 56 329 64 321 80 321L698 321C714 321 722 329 722 344 722 356 711 367 698 367M698 179 80 179C64 179 56 171 56 156 56 141 64 133 80 133L698 133C714 133 722 141 722 156 722 169 711 179 698 179Z"></path></g><g data-mml-node="mn" data-latex="\label{f1}" transform="translate(4252,0)"><path data-c="30" d="M249-22C390-22 460 92 460 320 460 473 428 575 365 625 330 652 291 666 250 666 109 666 39 551 39 320 39 136 88-22 249-22M361 524C368 489 371 425 371 332 371 240 367 172 360 128 347 48 310 8 249 8 226 8 203 17 182 34 155 57 139 104 132 176 129 201 128 253 128 332 128 419 131 480 136 513 145 568 163 603 191 618 213 630 232 636 249 636 314 636 350 583 361 524Z"></path></g></g></g></g></svg><svg data-labels="true" preserveAspectRatio="xMaxYMid" viewBox="1278 -815.2 1 1130.4"><g data-labels="true" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="mtd" id="mjx-eqn:f1" transform="translate(0,682.8)"><text data-id-align="true"></text><g data-idbox="true" transform="translate(0,-748)"><g data-mml-node="mtext" data-latex="\text{(9)}"><path data-c="28" d="M318-248C327-248 332-243 332-234 332-231 330-227 327-223 275-183 233-117 202-26 175 53 161 131 161 208L161 292C161 369 175 447 202 526 233 617 275 683 327 723 330 726 332 730 332 734 332 743 327 748 318 748 317 748 314 747 311 745 251 699 201 631 160 540 121 453 101 371 101 292L101 208C101 129 121 47 160-40 201-131 251-199 311-245 314-247 317-248 318-248Z"></path><path data-c="39" d="M116 140C83 140 67 123 67 89 67 14 128-22 207-22 287-22 351 18 398 99 437 166 457 243 457 329 457 456 434 546 388 599 349 644 304 666 253 666 194 666 145 645 106 602 63 557 42 503 42 440 42 379 60 327 96 284 134 238 183 215 242 215 294 215 334 243 361 299L361 286C361 177 342 103 303 63 272 30 239 14 206 14 166 14 137 23 118 42 149 42 165 60 165 91 165 119 144 140 116 140M243 246C204 246 175 266 155 306 144 329 138 374 138 439 138 504 145 548 158 573 180 613 212 633 253 633 294 633 324 608 343 558 354 531 361 485 361 420 361 333 322 246 243 246Z" transform="translate(389,0)"></path><path data-c="29" d="M78-245C138-199 188-131 229-40 268 47 288 129 288 208L288 292C288 371 268 453 229 540 188 631 138 699 78 745 75 747 72 748 71 748 62 748 57 743 57 734 57 730 59 726 62 723 114 683 156 617 187 526 214 447 228 369 228 292L228 208C228 131 214 53 187-26 156-117 114-183 62-223 59-227 57-231 57-234 57-243 62-248 71-248 72-248 75-247 78-245Z" transform="translate(889,0)"></path></g></g></g></g></svg></g></g></g></g></svg></mjx-container></p><p>引用表达式<mjx-container class="MathJax" jax="SVG" overflow="overflow"><svg style="vertical-align:-.561ex" xmlns="http://www.w3.org/2000/svg" width="2.891ex" height="2.253ex" role="img" focusable="false" viewBox="0 -748 1278 996"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math" data-latex="\eqref{f1}"><a href="#mjx-eqn%3Af1"><g data-mml-node="mrow" data-latex="\eqref{f1}" class="MathJax_ref"><rect data-hitbox="true" fill="none" stroke="none" pointer-events="all" width="1278" height="996" x="0" y="-248"></rect><g data-mml-node="mtext"><path data-c="28" d="M318-248C327-248 332-243 332-234 332-231 330-227 327-223 275-183 233-117 202-26 175 53 161 131 161 208L161 292C161 369 175 447 202 526 233 617 275 683 327 723 330 726 332 730 332 734 332 743 327 748 318 748 317 748 314 747 311 745 251 699 201 631 160 540 121 453 101 371 101 292L101 208C101 129 121 47 160-40 201-131 251-199 311-245 314-247 317-248 318-248Z"></path><path data-c="39" d="M116 140C83 140 67 123 67 89 67 14 128-22 207-22 287-22 351 18 398 99 437 166 457 243 457 329 457 456 434 546 388 599 349 644 304 666 253 666 194 666 145 645 106 602 63 557 42 503 42 440 42 379 60 327 96 284 134 238 183 215 242 215 294 215 334 243 361 299L361 286C361 177 342 103 303 63 272 30 239 14 206 14 166 14 137 23 118 42 149 42 165 60 165 91 165 119 144 140 116 140M243 246C204 246 175 266 155 306 144 329 138 374 138 439 138 504 145 548 158 573 180 613 212 633 253 633 294 633 324 608 343 558 354 531 361 485 361 420 361 333 322 246 243 246Z" transform="translate(389,0)"></path><path data-c="29" d="M78-245C138-199 188-131 229-40 268 47 288 129 288 208L288 292C288 371 268 453 229 540 188 631 138 699 78 745 75 747 72 748 71 748 62 748 57 743 57 734 57 730 59 726 62 723 114 683 156 617 187 526 214 447 228 369 228 292L228 208C228 131 214 53 187-26 156-117 114-183 62-223 59-227 57-231 57-234 57-243 62-248 71-248 72-248 75-247 78-245Z" transform="translate(889,0)"></path></g></g></a></g></g></svg></mjx-container></p><figure class="highlight plaintext"><table><tbody><tr><td class="code"><pre><span class="line">e^{i\pi}+1=0 \label{f1}</span><br><span class="line"></span><br><span class="line"></span><br><span class="line">引用表达式 \eqref{f1}</span><br></pre></td></tr></tbody></table></figure></div></div><div class="footer"></div><div class="article-meta" id="bottom"><div 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itemscope="" itemtype="http://schema.org/WPSideBar"><section class="widget text desktop mobile pjax"><header><a href="/notes/"><i class="fa-duotone fa-book fa-fw" aria-hidden="true"></i> <span class="name">Notes</span></a></header><div class="content"></div></section><div class="widget-sticky pjax"><section class="widget toc-wrapper desktop mobile" id="toc-div"><header><i class="fa-duotone fa-list fa-fw" aria-hidden="true"></i> <span class="name">本文目录</span></header><div class="content"><ol class="toc"><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%8A%A0%E5%87%8F%E4%B9%98%E9%99%A4"><span class="toc-text">加减乘除</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%B9%82%E8%BF%90%E7%AE%97"><span class="toc-text">幂运算</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E9%80%BB%E8%BE%91%E8%BF%90%E7%AE%97"><span class="toc-text">逻辑运算</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%85%B3%E7%B3%BB%E8%BF%90%E7%AE%97"><span class="toc-text">关系运算</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E9%9B%86%E5%90%88"><span class="toc-text">集合</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%AD%98%E5%9C%A8"><span class="toc-text">存在</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%B8%8C%E8%85%8A%E5%AD%97%E6%AF%8D"><span class="toc-text">希腊字母</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E7%AE%AD%E5%A4%B4"><span class="toc-text">箭头</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E7%9C%81%E7%95%A5%E5%8F%B7"><span class="toc-text">省略号</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%A4%B4%E9%A1%B6%E7%AC%A6%E5%8F%B7"><span class="toc-text">头顶符号</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E6%A0%87%E5%87%86%E6%8B%AC%E5%8F%B7"><span class="toc-text">标准括号</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%8F%96%E6%95%B4%E6%8B%AC%E5%8F%B7%EF%BC%88%E5%87%BD%E6%95%B0%EF%BC%89"><span class="toc-text">取整括号（函数）</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E7%A9%BA%E6%A0%BC"><span class="toc-text">空格</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E4%B8%8A%E6%A0%87%E4%B8%8E%E4%B8%8B%E6%A0%87"><span class="toc-text">上标与下标</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E4%B8%8A%E5%88%92%E7%BA%BF%E4%B8%8B%E5%88%92%E7%BA%BF"><span class="toc-text">上划线下划线</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%88%86%E5%BC%8F"><span class="toc-text">分式</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E6%A0%B9%E5%BC%8F"><span class="toc-text">根式</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E4%B8%89%E8%A7%92%E5%87%BD%E6%95%B0"><span class="toc-text">三角函数</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E6%B1%82%E5%92%8C-%E6%B1%82%E7%A7%AF-%E6%B1%82%E6%9E%81%E9%99%90"><span class="toc-text">求和 求积 求极限</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E6%B1%82%E7%A7%AF%E5%88%86-%E5%81%8F%E5%AF%BC"><span class="toc-text">求积分 偏导</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E7%BB%9D%E5%AF%B9%E5%80%BC"><span class="toc-text">绝对值</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E7%9F%A9%E9%98%B5%E5%92%8C%E8%A1%8C%E5%88%97%E5%BC%8F"><span class="toc-text">矩阵和行列式</span></a><ol class="toc-child"><li class="toc-item toc-level-3"><a class="toc-link" href="#matrix"><span class="toc-text">matrix</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#pmatrix"><span class="toc-text">pmatrix</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#bmatrix"><span class="toc-text">bmatrix</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#Bmatrix"><span class="toc-text">Bmatrix</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#vmatrix"><span class="toc-text">vmatrix</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#Vmatrix"><span class="toc-text">Vmatrix</span></a></li></ol></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%B8%A6%E7%9C%81%E7%95%A5%E5%8F%B7%E7%9A%84%E7%9F%A9%E9%98%B5"><span class="toc-text">带省略号的矩阵</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E7%9F%A9%E9%98%B5%E6%96%B9%E7%A8%8B%EF%BC%88%E5%87%BD%E6%95%B0%EF%BC%89"><span class="toc-text">矩阵方程（函数）</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%85%B6%E4%BB%96%E7%AC%A6%E5%8F%B7"><span class="toc-text">其他符号</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%85%AC%E5%BC%8F%E5%BC%95%E7%94%A8"><span 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