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65 66 <link rel="icon" href="_static/favicon.ico"/> 67 <link rel="index" title="ÐлÑавиÑнÑй ÑказаÑелÑ" href="genindex.html" /> 68 <link rel="search" title="ÐоиÑк" href="search.html" /> 69 <link rel="next" title="1.1 Ðведение, ЧиÑленное диÑÑеÑенÑиÑование, ÐогÑеÑноÑÑи" href="Block1/Sem1/intro.html" /> 70 <meta name="viewport" content="width=device-width, initial-scale=1"/> 71 <meta name="docsearch:language" content="ru"/> 72 </head> 73 74 75 <body data-bs-spy="scroll" data-bs-target=".bd-toc-nav" data-offset="180" data-bs-root-margin="0px 0px -60%" data-default-mode=""> 76 77 78 79 <a id="pst-skip-link" class="skip-link" href="#main-content">ÐеÑейÑи к оÑÐ½Ð¾Ð²Ð½Ð¾Ð¼Ñ ÑодеÑжаниÑ</a> 80 81 <div id="pst-scroll-pixel-helper"></div> 82 83 <button type="button" class="btn rounded-pill" id="pst-back-to-top"> 84 <i class="fa-solid fa-arrow-up"></i> 85 Back to top 86 </button> 87 88 89 <input type="checkbox" 90 class="sidebar-toggle" 91 name="__primary" 92 id="__primary"/> 93 <label class="overlay overlay-primary" for="__primary"></label> 94 95 <input type="checkbox" 96 class="sidebar-toggle" 97 name="__secondary" 98 id="__secondary"/> 99 <label class="overlay overlay-secondary" for="__secondary"></label> 100 101 <div class="search-button__wrapper"> 102 <div class="search-button__overlay"></div> 103 <div class="search-button__search-container"> 104<form class="bd-search d-flex align-items-center" 105 action="search.html" 106 method="get"> 107 <i class="fa-solid fa-magnifying-glass"></i> 108 <input type="search" 109 class="form-control" 110 name="q" 111 id="search-input" 112 placeholder="Search this book..." 113 aria-label="Search this book..." 114 autocomplete="off" 115 autocorrect="off" 116 autocapitalize="off" 117 spellcheck="false"/> 118 <span class="search-button__kbd-shortcut"><kbd class="kbd-shortcut__modifier">Ctrl</kbd>+<kbd>K</kbd></span> 119</form></div> 120 </div> 121 122 <header class="bd-header navbar navbar-expand-lg bd-navbar"> 123 </header> 124 125 126 <div class="bd-container"> 127 <div class="bd-container__inner bd-page-width"> 128 129 130 131 132 133 <div class="bd-sidebar-primary bd-sidebar"> 134 135 136 137 <div class="sidebar-header-items sidebar-primary__section"> 138 139 140 141 142 </div> 143 144 <div class="sidebar-primary-items__start sidebar-primary__section"> 145 <div class="sidebar-primary-item"> 146 147 148 149<a class="navbar-brand logo" href="#"> 150 151 152 153 154 155 156 157 158 159 160 <img src="_static/logo.jpeg" class="logo__image only-light" alt="ÐÑÑиÑлиÑелÑÐ½Ð°Ñ Ð¼Ð°ÑемаÑика - Home"/> 161
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161 162 163 164</a></div> 165 <div class="sidebar-primary-item"> 166 167
167<script> 168 document.write(` 169 <button class="btn navbar-btn search-button-field search-button__button" title="ÐоиÑк" aria-label="ÐоиÑк" data-bs-placement="bottom" data-bs-toggle="tooltip"> 170 <i class="fa-solid fa-magnifying-glass"></i> 171 <span class="search-button__default-text">ÐоиÑк</span> 172 <span class="search-button__kbd-shortcut"><kbd class="kbd-shortcut__modifier">Ctrl</kbd>+<kbd class="kbd-shortcut__modifier">K</kbd></span> 173 </button> 174 `); 175 </script>
175</div> 176 <div class="sidebar-primary-item"><nav class="bd-links bd-docs-nav" aria-label="Main"> 177 <div class="bd-toc-item navbar-nav active"> 178 179 <ul class="nav bd-sidenav bd-sidenav__home-link"> 180 <li class="toctree-l1 current active"> 181 <a class="reference internal" href="#"> 182 ÐÑÑиÑлиÑелÑÐ½Ð°Ñ Ð¼Ð°ÑемаÑика 183 </a> 184 </li> 185 </ul> 186 <p aria-level="2" class="caption" role="heading"><span class="caption-text">I.ðÐÑÐ½Ð¾Ð²Ñ Ð²ÑÑиÑлиÑелÑной маÑемаÑики. ÐинейнÑе модели</span></p> 187<ul class="nav bd-sidenav"> 188<li class="toctree-l1 has-children"><a class="reference internal" href="Block1/Sem1/intro.html">1.1 Ðведение, ЧиÑленное диÑÑеÑенÑиÑование, ÐогÑеÑноÑÑи</a><input class="toctree-checkbox" id="toctree-checkbox-1" name="toctree-checkbox-1" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-1"><i class="fa-solid fa-chevron-down"></i></label><ul> 189<li class="toctree-l2"><a class="reference internal" href="Block1/Sem1/1.html">Ðведение</a></li> 190<li class="toctree-l2"><a class="reference internal" href="Block1/Sem1/2.html">ЧиÑленное диÑÑеÑенÑиÑование</a></li> 191<li class="toctree-l2"><a class="reference internal" href="Block1/Sem1/3.html">ÐогÑеÑноÑÑÑ Ð¼ÐµÑода</a></li> 192<li class="toctree-l2"><a class="reference internal" href="Block1/Sem1/4.html">ÐогÑеÑноÑÑÑ Ð¼Ð°Ñинного окÑÑглениÑ</a></li> 193<li class="toctree-l2"><a class="reference internal" href="Block1/Sem1/5.html">ÐпÑималÑнÑй Ñаг диÑÑеÑенÑиÑованиÑ</a></li> 194<li class="toctree-l2"><a class="reference internal" href="Block1/Sem1/hw.html">ÐомаÑнее задание</a></li> 195</ul> 196</li> 197<li class="toctree-l1 has-children"><a class="reference internal" href="Block1/Sem2/intro.html">1.2 ÐоÑмÑ. ЧиÑла обÑÑловленноÑÑи</a><input class="toctree-checkbox" id="toctree-checkbox-2" name="toctree-checkbox-2" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-2"><i class="fa-solid fa-chevron-down"></i></label><ul> 198<li class="toctree-l2"><a class="reference internal" href="Block1/Sem2/1.html">ÐадаÑи вÑÑиÑлиÑелÑной линейной алгебÑÑ</a></li> 199<li class="toctree-l2"><a class="reference internal" href="Block1/Sem2/2.html">ÐÐ¸Ð½ÐµÐ¹Ð½Ð°Ñ Ð°Ð»Ð³ÐµÐ±Ñа (напоминание)</a></li> 200<li class="toctree-l2"><a class="reference internal" href="Block1/Sem2/3.html">ЧиÑла обÑÑловленноÑÑи</a></li> 201<li class="toctree-l2"><a class="reference internal" href="Block1/Sem2/hw.html">ÐомаÑнее задание</a></li> 202</ul> 203</li> 204<li class="toctree-l1 has-children"><a class="reference internal" href="Block1/Sem3/intro.html">1.3 ÐÐ¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑегÑеÑÑиÑ. PCA</a><input class="toctree-checkbox" id="toctree-checkbox-3" name="toctree-checkbox-3" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-3"><i class="fa-solid fa-chevron-down"></i></label><ul> 205<li class="toctree-l2"><a class="reference internal" href="Block1/Sem3/1.html">ÐадаÑа ÑегÑеÑÑии (аппÑокÑимаÑии)</a></li> 206<li class="toctree-l2"><a class="reference internal" href="Block1/Sem3/2.html">ÐÐ¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑегÑеÑÑиÑ</a></li> 207<li class="toctree-l2"><a class="reference internal" href="Block1/Sem3/3.html">ÐеÑод главнÑÑ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½Ñ (PCA)</a></li> 208<li class="toctree-l2"><a class="reference internal" href="Block1/Sem3/hw.html">ÐомаÑнее задание</a></li> 209</ul> 210</li> 211<li class="toctree-l1 has-children"><a class="reference internal" href="Block1/Sem4/intro.html">1.4 ÐзвеÑеннÑй ÐÐÐ. ÐогÑеÑноÑÑи веÑов. ÐаÑÑиÑнÑе ÑазложениÑ</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul> 212<li class="toctree-l2"><a class="reference internal" href="Block1/Sem4/1.html">ÐаÑÑиÑнÑе ÑазложениÑ</a></li> 213<li class="toctree-l2"><a class="reference internal" href="Block1/Sem4/2.html">ÐогÑеÑноÑÑи даннÑÑ Ð¸ веÑов</a></li> 214<li class="toctree-l2"><a class="reference internal" href="Block1/Sem4/hw.html">ÐомаÑнее задание</a></li> 215</ul> 216</li> 217</ul> 218<p aria-level="2" class="caption" role="heading"><span class="caption-text">II.â¨ÐбÑабоÑка даннÑÑ Ð¸ опÑимизаÑиÑ. ÐелинейнÑе модели</span></p> 219<ul class="nav bd-sidenav"> 220<li class="toctree-l1 has-children"><a class="reference internal" href="Block2/Sem1/intro.html">2.1 ÐайеÑовÑкое оÑенивание. РегÑлÑÑизаÑиÑ. ЧиÑленное ÑеÑение ÑегÑеÑÑии</a><input class="toctree-checkbox" id="toctree-checkbox-5" name="toctree-checkbox-5" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-5"><i class="fa-solid fa-chevron-down"></i></label><ul> 221<li class="toctree-l2"><a class="reference internal" href="Block2/Sem1/1.html">ÐÑиÑеÑии пеÑеобÑÑÐµÐ½Ð¸Ñ Ð¸ ÑегÑлÑÑизаÑиÑ</a></li> 222<li class="toctree-l2"><a class="reference internal" href="Block2/Sem1/2.html">ТеоÑема ÐайеÑа</a></li> 223 224<li class="toctree-l2"><a class="reference internal" href="Block2/Sem1/3.html">ÐÑадиенÑнÑй ÑпÑÑк - ÑиÑленнÑй ÑпоÑоб минимизаÑии Loss-a. ÐÑоÑÑейÑий ÑлÑÑай</a></li> 225<li class="toctree-l2"><a class="reference internal" href="Block2/Sem1/4.html">ÐипеÑпаÑамеÑÑÑ Ð¸ кÑоÑÑ-валидаÑиÑ</a></li> 226<li class="toctree-l2"><a class="reference internal" href="Block2/Sem1/hw.html">ÐомаÑнее задание</a></li> 227</ul> 228</li> 229<li class="toctree-l1 has-children"><a class="reference internal" href="Block2/Sem2/intro.html">2.2 ÐинимизаÑÐ¸Ñ ÑÑнкÑии. ÐÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑегÑеÑÑиÑ
229</a><input class="toctree-checkbox" id="toctree-checkbox-6" name="toctree-checkbox-6" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-6"><i class="fa-solid fa-chevron-down"></i></label><ul> 230<li class="toctree-l2"><a class="reference internal" href="Block2/Sem2/1.html">ÐокалÑÐ½Ð°Ñ Ð¼Ð¸Ð½Ð¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ Ð¿Ð¾ одной пеÑеменной</a></li> 231<li class="toctree-l2"><a class="reference internal" href="Block2/Sem2/2.html">ÐокалÑÐ½Ð°Ñ Ð¼Ð¸Ð½Ð¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ Ð¿Ð¾ неÑколÑким пеÑеменнÑм</a></li> 232<li class="toctree-l2"><a class="reference internal" href="Block2/Sem2/3.html">ÐÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑегÑеÑÑиÑ</a></li> 233<li class="toctree-l2"><a class="reference internal" href="Block2/Sem2/hw.html">ÐомаÑнее задание</a></li> 234</ul> 235</li> 236<li class="toctree-l1 has-children"><a class="reference internal" href="Block2/Sem3/intro.html">2.3 ÐелинейнÑе ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð¸ ÑиÑÑемÑ.</a><input class="toctree-checkbox" id="toctree-checkbox-7" name="toctree-checkbox-7" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-7"><i class="fa-solid fa-chevron-down"></i></label><ul> 237<li class="toctree-l2"><a class="reference internal" href="Block2/Sem3/1.html">ÐелинейнÑе ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð¾Ð´Ð½Ð¾Ð¹ пеÑеменной</a></li> 238 239<li class="toctree-l2"><a class="reference internal" href="Block2/Sem3/2.html">ÐелинейнÑе ÑиÑÑÐµÐ¼Ñ ÑÑавнений</a></li> 240<li class="toctree-l2"><a class="reference internal" href="Block2/Sem3/hw.html">ÐомаÑнее задание</a></li> 241</ul> 242</li> 243<li class="toctree-l1 has-children"><a class="reference internal" href="Block2/Sem4/intro.html">2.4 ÐлаÑÑеÑизаÑиÑ</a><input class="toctree-checkbox" id="toctree-checkbox-8" name="toctree-checkbox-8" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-8"><i class="fa-solid fa-chevron-down"></i></label><ul> 244<li class="toctree-l2"><a class="reference internal" href="Block2/Sem4/1.html">ÐлаÑÑеÑизаÑÐ¸Ñ - ÑÑо ÑÑо и где нÑжно</a></li> 245<li class="toctree-l2"><a class="reference internal" href="Block2/Sem4/2.html">ÐеÑÐ¾Ð´Ñ ÐºÐ»Ð°ÑÑеÑизаÑии</a></li> 246<li class="toctree-l2"><a class="reference internal" href="Block2/Sem4/3.html">ÐÑенка каÑеÑÑва клаÑÑеÑизаÑии</a></li> 247<li class="toctree-l2"><a class="reference internal" href="Block2/Sem4/hw.html">ÐомаÑнее задание</a></li> 248</ul> 249</li> 250<li class="toctree-l1 has-children"><a class="reference internal" href="Block2/Sem5/intro.html">2.5* ÐлаÑÑиÑикаÑиÑ. ÐейÑонки</a><input class="toctree-checkbox" id="toctree-checkbox-9" name="toctree-checkbox-9" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-9"><i class="fa-solid fa-chevron-down"></i></label><ul> 251<li class="toctree-l2"><a class="reference internal" href="Block2/Sem5/1.html">ÐадаÑа клаÑÑиÑикаÑии</a></li> 252<li class="toctree-l2"><a class="reference internal" href="Block2/Sem5/2.html">ÐоÑÑÑоение многоÑлойного пеÑÑепÑÑона</a></li> 253<li class="toctree-l2"><a class="reference internal" href="Block2/Sem5/3.html">ÐбÑÑение пеÑÑпеÑÑона</a></li> 254 255<li class="toctree-l2"><a class="reference internal" href="Block2/Sem5/hw.html">ÐомаÑнее задание</a></li> 256</ul> 257</li> 258</ul> 259<p aria-level="2" class="caption" role="heading"><span class="caption-text">III.ðÐÑÑиÑлиÑелÑÐ½Ð°Ñ Ð»Ð¸Ð½ÐµÐ¹Ð½Ð°Ñ Ð°Ð»Ð³ÐµÐ±Ñа</span></p> 260<ul class="nav bd-sidenav"> 261<li class="toctree-l1 has-children"><a class="reference internal" href="Block3/Sem1/intro.html">3.1 ÐÑеÑаÑионнÑе меÑÐ¾Ð´Ñ Ð´Ð»Ñ ÑеÑÐµÐ½Ð¸Ñ Ð¡ÐÐУ</a><input class="toctree-checkbox" id="toctree-checkbox-10" name="toctree-checkbox-10" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-10"><i class="fa-solid fa-chevron-down"></i></label><ul> 262<li class="toctree-l2"><a class="reference internal" href="Block3/Sem1/1.html">ÐÑÑмÑе меÑÐ¾Ð´Ñ ÑеÑÐµÐ½Ð¸Ñ Ð¡ÐÐУ.</a></li> 263<li class="toctree-l2"><a class="reference internal" href="Block3/Sem1/2.html">ÐвÑÑ ÑлойнÑе иÑеÑаÑионнÑе ÑÑ ÐµÐ¼Ñ</a></li> 264<li class="toctree-l2"><a class="reference internal" href="Block3/Sem1/3.html">ÐногоÑлойнÑе иÑеÑаÑионнÑе ÑÑ ÐµÐ¼Ñ</a></li> 265<li class="toctree-l2"><a class="reference internal" href="Block3/Sem1/4.html">СÑавнение иÑеÑаÑионного меÑода Якоби и пÑÑмого меÑода ÐаÑÑÑа</a></li> 266 267<li class="toctree-l2"><a class="reference internal" href="Block3/Sem1/hw.html">ÐомаÑнее задание</a></li> 268</ul> 269</li> 270<li class="toctree-l1 has-children"><a class="reference internal" href="Block3/Sem2/intro.html">3.2 ÐÑоблема ÑобÑÑвеннÑÑ Ð·Ð½Ð°Ñений</a><input class="toctree-checkbox" id="toctree-checkbox-11" name="toctree-checkbox-11" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-11"><i class="fa-solid fa-chevron-down"></i></label><ul> 271<li class="toctree-l2"><a class="reference internal" href="Block3/Sem2/1.html">СÑепенной меÑод и опÑеделениÑ</a></li> 272<li class="toctree-l2"><a class="reference internal" href="Block3/Sem2/2.html">QR алгоÑиÑм</a></li> 273<li class="toctree-l2"><a class="reference internal" href="Block3/Sem2/3.html">ÐÑÑгие меÑодÑ</a></li> 274<li class="toctree-l2"><a class="reference internal" href="Block3/Sem2/hw.html">ÐомаÑнее задание</a></li> 275</ul> 276</li> 277</ul> 278<p aria-level="2" class="caption" role="heading"><span class="caption-text">IV.ð§®ÐÑÑиÑлиÑелÑнÑй маÑемаÑиÑеÑкий анализ</span></p> 279<ul class="nav bd-sidenav"> 280<li class="toctree-l1 has-children"><a class="reference internal" href="Block4/Sem1/intro.html">4.1 ÐнÑеÑполÑÑиÑ</a>
280<input class="toctree-checkbox" id="toctree-checkbox-12" name="toctree-checkbox-12" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-12"><i class="fa-solid fa-chevron-down"></i></label><ul> 281<li class="toctree-l2"><a class="reference internal" href="Block4/Sem1/1.html">ÐадаÑа инÑеÑполÑÑии. ÐолиномиалÑÐ½Ð°Ñ Ð¸Ð½ÑеÑполÑÑиÑ</a></li> 282<li class="toctree-l2"><a class="reference internal" href="Block4/Sem1/2.html">ÐогÑеÑноÑÑи алгебÑаиÑеÑкой инÑеÑполÑÑии</a></li> 283<li class="toctree-l2"><a class="reference internal" href="Block4/Sem1/3.html">ÐнÑеÑполÑÑÐ¸Ñ Ñплайном</a></li> 284<li class="toctree-l2"><a class="reference internal" href="Block4/Sem1/hw.html">ÐомаÑнее задание</a></li> 285</ul> 286</li> 287<li class="toctree-l1 has-children"><a class="reference internal" href="Block4/Sem2/intro.html">4.2 ЧиÑленное инÑегÑиÑование</a><input class="toctree-checkbox" id="toctree-checkbox-13" name="toctree-checkbox-13" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-13"><i class="fa-solid fa-chevron-down"></i></label><ul> 288<li class="toctree-l2"><a class="reference internal" href="Block4/Sem2/1.html">ÐвадÑаÑÑÑÑ ÐÑÑÑона</a></li> 289<li class="toctree-l2"><a class="reference internal" href="Block4/Sem2/2.html">ÐÑакÑиÑеÑÐºÐ°Ñ Ð¾Ñенка погÑеÑноÑÑи</a></li> 290<li class="toctree-l2"><a class="reference internal" href="Block4/Sem2/3.html">ÐвадÑаÑÑÑÑ ÐаÑÑÑа</a></li> 291<li class="toctree-l2"><a class="reference internal" href="Block4/Sem2/4.html">ÐнÑегÑÐ°Ð»Ñ Ñ Ð¾ÑобенноÑÑÑми</a></li> 292<li class="toctree-l2"><a class="reference internal" href="Block4/Sem2/hw.html">ÐомаÑнее задание</a></li> 293</ul> 294</li> 295<li class="toctree-l1 has-children"><a class="reference internal" href="Block4/Sem3/intro.html">4.3 ÐÑÐµÐ´ÐµÐ»Ñ Ð¸ ÑÑдÑ</a><input class="toctree-checkbox" id="toctree-checkbox-14" name="toctree-checkbox-14" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-14"><i class="fa-solid fa-chevron-down"></i></label><ul> 296<li class="toctree-l2"><a class="reference internal" href="Block4/Sem3/1.html">ЧиÑленное инÑегÑиÑование на ÑазноÑÑнÑÑ ÑÑ ÐµÐ¼Ð°Ñ </a></li> 297<li class="toctree-l2"><a class="reference internal" href="Block4/Sem3/2.html">РаÑÑÑÑ Ð±ÐµÑконеÑнÑÑ ÑÑмм</a></li> 298<li class="toctree-l2"><a class="reference internal" href="Block4/Sem3/3.html">ÐÑÑÑÑое вÑÑиÑление пÑеделов</a></li> 299<li class="toctree-l2"><a class="reference internal" href="Block4/Sem3/hw.html">ÐомаÑнее задание</a></li> 300</ul> 301</li> 302<li class="toctree-l1 has-children"><a class="reference internal" href="Block4/Sem4/intro.html">4.4 ÐиÑкÑеÑное пÑеобÑазование ФÑÑÑе</a><input class="toctree-checkbox" id="toctree-checkbox-15" name="toctree-checkbox-15" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-15"><i class="fa-solid fa-chevron-down"></i></label><ul> 303<li class="toctree-l2"><a class="reference internal" href="Block4/Sem4/1.html">ÐиÑкÑеÑное пÑеобÑазование ФÑÑÑе</a></li> 304<li class="toctree-l2"><a class="reference internal" href="Block4/Sem4/2.html">ÐÑÑÑÑое пÑеобÑазование ФÑÑÑе (FFT)</a></li> 305<li class="toctree-l2"><a class="reference internal" href="Block4/Sem4/3.html">Ðнализ ÑезонноÑÑи во вÑеменнÑÑ ÑÑÐ´Ð°Ñ (ÑеалÑнÑй пÑимеÑ)</a></li> 306<li class="toctree-l2"><a class="reference internal" href="Block4/Sem4/hw.html">ÐомаÑнее задание</a></li> 307</ul> 308</li> 309</ul> 310<p aria-level="2" class="caption" role="heading"><span class="caption-text">V.ð¥ÐиÑÑеÑенÑиалÑнÑе ÑÑавнениÑ</span></p> 311<ul class="nav bd-sidenav"> 312<li class="toctree-l1 has-children"><a class="reference internal" href="Block5/Sem1/intro.html">5.1 ÐÐУ. ÐадаÑа ÐоÑи</a><input class="toctree-checkbox" id="toctree-checkbox-16" name="toctree-checkbox-16" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-16"><i class="fa-solid fa-chevron-down"></i></label><ul> 313<li class="toctree-l2"><a class="reference internal" href="Block5/Sem1/1.html">ÐиÑкÑеÑизаÑÐ¸Ñ ÐадаÑи ÐоÑи. ЧаÑÑнÑй ÑлÑÑай, обÑий Ð¿Ð¾Ð´Ñ Ð¾Ð´</a></li> 314<li class="toctree-l2"><a class="reference internal" href="Block5/Sem1/2.html">ÐиÑкÑеÑизаÑÐ¸Ñ ÐадаÑи ÐоÑи. ÐбÑÐ°Ñ ÑеоÑÐ¸Ñ Ð´Ð¸ÑкÑеÑизаÑии ÐÐУ.</a></li> 315<li class="toctree-l2"><a class="reference internal" href="Block5/Sem1/3.html">ÐÑÑледование ÑÑ ÐµÐ¼ на ÑÑÑойÑивоÑÑÑ</a></li> 316<li class="toctree-l2"><a class="reference internal" href="Block5/Sem1/4.html">ÐеÑÑкие ÑиÑÑемÑ</a></li> 317<li class="toctree-l2"><a class="reference internal" href="Block5/Sem1/5.html">ÐдноÑаговÑе меÑÐ¾Ð´Ñ Ð Ñнге-ÐÑÑÑа</a></li> 318<li class="toctree-l2"><a class="reference internal" href="Block5/Sem1/6.html">ÐногоÑаговÑе меÑодÑ</a></li> 319<li class="toctree-l2"><a class="reference internal" href="Block5/Sem1/hw.html">ÐомаÑнее задание</a></li> 320 321 322 323</ul> 324</li> 325<li class="toctree-l1 has-children"><a class="reference internal" href="Block5/Sem2/intro.html">5.2 ÐÐУ. ÐÑÐ°ÐµÐ²Ð°Ñ Ð·Ð°Ð´Ð°Ñа</a><input class="toctree-checkbox" id="toctree-checkbox-17" name="toctree-checkbox-17" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-17"><i class="fa-solid fa-chevron-down"></i></label><ul> 326<li class="toctree-l2"><a class="reference internal" href="Block5/Sem2/1.html">ÐÐ¸Ð½ÐµÐ¹Ð½Ð°Ñ ÐºÑÐ°ÐµÐ²Ð°Ñ Ð·Ð°Ð´Ð°Ñа</a></li> 327 328 329<li class="toctree-l2"><a class="reference internal" href="Block5/Sem2/2.html">ÐÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð°Ñ ÐºÑÐ°ÐµÐ²Ð°Ñ Ð·Ð°Ð´Ð°Ñа</a></li> 330 331<li class="toctree-l2"><a class="reference internal" href="Block5/Sem2/3.html">ÐппÑокÑимаÑÐ¸Ñ Ð³ÑаниÑнÑÑ ÑÑловий</a></li> 332 333<li class="toctree-l2"><a class="reference internal" href="Block5/Sem2/hw.html">ÐомаÑнее задание</a></li> 334</ul> 335</li> 336<li class="toctree-l1 has-children"><a class="reference internal" href="Block5/Sem3/intro.html">5.3 УРЧÐ. ÐеÑод конеÑнÑÑ ÑазноÑÑей</a><input class="toctree-checkbox" id="toctree-checkbox-18" name="toctree-checkbox-18" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-18"><i class="fa-solid fa-chevron-down"></i></label><ul> 337<li class="toctree-l2"><a class="reference internal" href="Block5/Sem3/1.html">ФоÑмÑлиÑовка УРЧÐ. ÐлаÑÑиÑикаÑиÑ</a></li> 338<li class="toctree-l2"><a class="reference internal" href="Block5/Sem3/2.html">ÐаÑаболиÑеÑкий Ñип. ÐбÑие пÑинÑÐ¸Ð¿Ñ Ð¼ÐµÑода конеÑнÑÑ ÑазноÑÑей</a></li> 339 340 341 342 343 344<li class="toctree-l2"><a class="reference internal" href="Block5/Sem3/3.html">ÐллипÑиÑеÑкий Ñип</a></li> 345<li class="toctree-l2"><a class="reference internal" href="Block5/Sem3/4.html">ÐипеÑболиÑеÑкие ÑÑавнениÑ</a></li> 346<li class="toctree-l2"><a class="reference internal" href="Block5/Sem3/5.html">Ð¡Ñ Ð¾Ð´Ð¸Ð¼Ð¾ÑÑÑ ÑазноÑÑнÑÑ ÑÑ ÐµÐ¼</a></li> 347 348 349<li class="toctree-l2"><a class="reference internal" href="Block5/Sem3/6.html">Ðадание кÑаевÑÑ ÑÑловий на кÑиволиÐ
349½ÐµÐ¹Ð½Ð¾Ð¹ гÑаниÑе</a></li> 350<li class="toctree-l2"><a class="reference internal" href="Block5/Sem3/hw.html">ÐомаÑнее задание</a></li> 351</ul> 352</li> 353<li class="toctree-l1 has-children"><a class="reference internal" href="Block5/Sem4/intro.html">5.4 УРЧÐ. Finite Element Method</a><input class="toctree-checkbox" id="toctree-checkbox-19" name="toctree-checkbox-19" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-19"><i class="fa-solid fa-chevron-down"></i></label><ul> 354<li class="toctree-l2"><a class="reference internal" href="Block5/Sem4/1.html">ТеоÑÐ¸Ñ Ð¼ÐµÑода конеÑнÑÑ ÑлеменÑов (FEM)</a></li> 355<li class="toctree-l2"><a class="reference internal" href="Block5/Sem4/2.html">ÐиблиоÑека FEniCS</a></li> 356<li class="toctree-l2"><a class="reference internal" href="Block5/Sem4/3.html">ÐÑимеÑ. УÑавнение ÐÑаÑÑона</a></li> 357<li class="toctree-l2"><a class="reference internal" href="Block5/Sem4/4.html">ÐÑимеÑ. Ðелинейное ÑÑавнение ÐÑаÑÑона</a></li> 358<li class="toctree-l2"><a class="reference internal" href="Block5/Sem4/5.html">ÐÑимеÑ. УÑавнение ÑеплопÑоводноÑÑи</a></li> 359<li class="toctree-l2"><a class="reference internal" href="Block5/Sem4/6.html">ÐÑимеÑ. УÑавнение ÐавÑе-СÑокÑа</a></li> 360<li class="toctree-l2"><a class="reference internal" href="Block5/Sem4/hw.html">ÐомаÑнее задание</a></li> 361</ul> 362</li> 363<li class="toctree-l1 has-children"><a class="reference internal" href="Block5/Sem5/intro.html">5.5* ÐейÑоÑеÑевÑе меÑÐ¾Ð´Ñ Ð´Ð»Ñ ÑеÑÐµÐ½Ð¸Ñ ÐУ</a><input class="toctree-checkbox" id="toctree-checkbox-20" name="toctree-checkbox-20" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-20"><i class="fa-solid fa-chevron-down"></i></label><ul> 364<li class="toctree-l2"><a class="reference internal" href="Block5/Sem5/1.html">ТеоÑеÑиÑеÑкое введение</a></li> 365<li class="toctree-l2"><a class="reference internal" href="Block5/Sem5/2.html">ÐÐУ пеÑвого поÑÑдка</a></li> 366<li class="toctree-l2"><a class="reference internal" href="Block5/Sem5/3.html">ÐÐУ вÑоÑого поÑÑдка</a></li> 367<li class="toctree-l2"><a class="reference internal" href="Block5/Sem5/4.html">УРЧÐ</a></li> 368<li class="toctree-l2"><a class="reference internal" href="Block5/Sem5/5.html">СовÑеменнÑе Ð¿Ð¾Ð´Ñ Ð¾Ð´Ñ Ð¸ пÑименениÑ</a></li> 369</ul> 370</li> 371</ul> 372<p aria-level="2" class="caption" role="heading"><span class="caption-text">VI.ð²Ð¡Ð»ÑÑайнÑе пÑоÑеÑÑÑ</span></p> 373<ul class="nav bd-sidenav"> 374<li class="toctree-l1 has-children"><a class="reference internal" href="Block6/Sem1/intro.html">6.1 ÐÑÐ½Ð¾Ð²Ñ Ð¼ÐµÑода ÐонÑе-ÐаÑло</a><input class="toctree-checkbox" id="toctree-checkbox-21" name="toctree-checkbox-21" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-21"><i class="fa-solid fa-chevron-down"></i></label><ul> 375<li class="toctree-l2"><a class="reference internal" href="Block6/Sem1/1.html">«ШколÑнÑй» пÑимеÑ. ÐÑÑиÑление ÑиÑла <span class="math notranslate nohighlight">\(\pi\)</span></a></li> 376<li class="toctree-l2"><a class="reference internal" href="Block6/Sem1/2.html">ÐнÑегÑиÑование меÑодом ÐонÑе-ÐаÑло</a></li> 377 378 379<li class="toctree-l2"><a class="reference internal" href="Block6/Sem1/3.html">ÐонÑе-ÐаÑло Ð´Ð»Ñ Ð³ÐµÐ½ÐµÑаÑии ÑоÑек из ÑаÑпÑеделений (ÑÑмплиÑование)</a></li> 380 381 382<li class="toctree-l2"><a class="reference internal" href="Block6/Sem1/4.html">ÐÐ°Ñ Ð¾Ð¶Ð´ÐµÐ½Ð¸Ðµ ÑизиÑеÑÐºÐ¸Ñ Ð²ÐµÐ»Ð¸Ñин Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÐонÑе-ÐаÑло. ÐÐ¾Ð´ÐµÐ»Ñ Ðзинга</a></li> 383<li class="toctree-l2"><a class="reference internal" href="Block6/Sem1/hw.html">ÐомаÑнее задание</a></li> 384</ul> 385</li> 386<li class="toctree-l1 has-children"><a class="reference internal" href="Block6/Sem2/intro.html">6.2* Renforcement Learning</a><input class="toctree-checkbox" id="toctree-checkbox-22" name="toctree-checkbox-22" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-22"><i class="fa-solid fa-chevron-down"></i></label><ul> 387<li class="toctree-l2"><a class="reference internal" href="Block6/Sem2/1.html">ÐоÑиваÑиÑ</a></li> 388<li class="toctree-l2"><a class="reference internal" href="Block6/Sem2/2.html">ÐÑновнÑе опÑеделениÑ. Value iteration</a></li> 389 390<li class="toctree-l2"><a class="reference internal" href="Block6/Sem2/3.html">Q-Learning</a></li> 391<li class="toctree-l2"><a class="reference internal" href="Block6/Sem2/4.html">Approximate Q-Learning</a></li> 392<li class="toctree-l2"><a class="reference internal" href="Block6/Sem2/hw.html">ÐомаÑнее задание</a></li> 393</ul> 394</li> 395</ul> 396 397 </div> 398</nav></div> 399 </div> 400 401 402 <div class="sidebar-primary-items__end sidebar-primary__section"> 403 </div> 404 405 <div id="rtd-footer-container"></div> 406 407 408 </div> 409
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519 520 521</div></div> 522 523 </div> 524 525</div> 526</div> 527 528 529 530<div id="jb-print-docs-body" class="onlyprint"> 531 <h1>ÐÑÑиÑлиÑелÑÐ½Ð°Ñ Ð¼Ð°ÑемаÑика</h1> 532 <!-- Table of contents --> 533 <div id="print-main-content"> 534 <div id="jb-print-toc"> 535 536 </div> 537 </div> 538</div> 539 540 541 542<div id="searchbox"></div> 543 <article class="bd-article"> 544 545 <section class="tex2jax_ignore mathjax_ignore" id="id1"> 546<h1>ÐÑÑиÑлиÑелÑÐ½Ð°Ñ Ð¼Ð°ÑемаÑика<a class="headerlink" href="#id1" title="Link to this heading">#</a></h1> 547<p>ÐÑо беÑа-веÑÑÐ¸Ñ ÑайÑа пилоÑного кÑÑÑа вÑÑиÑлиÑелÑной маÑемаÑики ÐФТÐ. Ð¡Ð°Ð¹Ñ Ð±ÑÐ´ÐµÑ ÑедакÑиÑоваÑÑÑÑ, ÑаÑÑиÑÑÑÑÑÑ Ð¸ дополнÑÑÑÑÑ.</p> 548<p>ÐÑогÑамма кÑÑÑа ÑазÑабоÑана Ð´Ð»Ñ ÐФРÑовмеÑÑно Ñ ÐºÐ°ÑедÑой вÑÑиÑлиÑелÑной Ñизики ÐФТÐ. ÐÑÑÑ Ð¾ÑиенÑиÑован на ÑазвиÑие Ñ ÑÑÑденÑов навÑков пÑакÑиÑеÑкого ÑеÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°Ñ Ð²ÑÑиÑлиÑелÑной Ñизики и обÑÑение ÑиÑленнÑм меÑодам ÑеÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°Ñ Ð¼Ð°ÑемаÑиÑеÑкого анализа, линейной алгебÑÑ, обÑабоÑки даннÑÑ Ð¸ веÑоÑÑноÑÑного моделиÑованиÑ. ÐÑогÑаммÑ, Ð·Ð°Ð´Ð°Ð½Ð¸Ñ Ð¸ даннÑй ÑÐ°Ð¹Ñ ÑоÑÑавили аÑÑиÑÑÐµÐ½Ñ ÐºÐ°ÑедÑÑ Ð²ÑÑиÑлиÑелÑной Ñизики <a class="reference external" href="https://repetit.ru/repetitor.aspx?id=8224">ÐоÑонÑов ÐгоÑÑ ÐндÑеевиÑ</a> и аÑпиÑÐ°Ð½Ñ <a class="reference external" href="https://vk.com/rfrelpes">ÐÑкÑÑнÑÑк ÐÑÑеÑлав ÐеоÑгиевиÑ</a>. Ð ÑÐ°Ð¼ÐºÐ°Ñ ÐºÑÑÑа пÑедÑÑмоÑÑена 1 паÑа лекÑий и 1 паÑа ÑеминаÑов в неделÑ, а Ñакже еÑÑÑ Ð·Ð°Ð¿Ð¸ÑаннÑе лекÑии и ÑÐ°Ð·Ð±Ð¾Ñ Ð´Ð¾Ð¿Ð¾Ð»Ð½Ð¸ÑелÑнÑÑ Ð·Ð°Ð´Ð°Ñ (Ñм. ÑÑÑлкb ниже).</p> 549<p>ÐолезнÑе ÑÑÑлки:</p> 550<ul class="simple"> 551<li><p><a class="reference external" href="https://vk.com/video/@club101906738">ÐапиÑи лекÑий и ÑеминаÑов (VK)</a></p></li> 552<li><p><a class="reference external" href="https://www.youtube.com/playlist?list=PLJ27PpiH6Dw3S9TzwQ02LKHCURkh_-BP9">ÐапиÑи лекÑий и ÑеминаÑов (YouTube)</a></p></li> 553<li><p><a class="reference external" href="https://disk.yandex.ru/d/lzrdasKofnU71w">ÐаÑеÑÐ¸Ð°Ð»Ñ ÑеминаÑов (2024-2025)</a></p></li> 554</ul> 555<p>ÐÐ»Ñ ÑвÑзи обÑаÑаÑÑÑÑ Ðº <a class="reference external" href="https://t.me/Igor_Vorontsov">ÐоÑонÑÐ¾Ð²Ñ ÐгоÑÑ</a></p> 556<div class="toctree-wrapper compound"> 557<p aria-level="2" class="caption" role="heading"><span class="caption-text">I.ðÐÑÐ½Ð¾Ð²Ñ Ð²ÑÑиÑлиÑелÑной маÑемаÑики. ÐинейнÑе модели</span></p> 558<ul> 559<li class="toctree-l1"><a class="reference internal" href="Block1/Sem1/intro.html">1.1 Ðведение, ЧиÑленное диÑÑеÑенÑиÑование, ÐогÑеÑноÑÑи</a></li> 560<li class="toctree-l1"><a class="reference internal" href="Block1/Sem2/intro.html">1.2 ÐоÑмÑ. ЧиÑла обÑÑловленноÑÑи</a></li> 561<li class="toctree-l1"><a class="reference internal" href="Block1/Sem3/intro.html">1.3 ÐÐ¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑегÑеÑÑиÑ. PCA</a></li> 562<li class="toctree-l1"><a class="reference internal" href="Block1/Sem4/intro.html">1.4 ÐзвеÑеннÑй ÐÐÐ. ÐогÑеÑноÑÑи веÑов. ÐаÑÑиÑнÑе ÑазложениÑ</a></li> 563</ul> 564</div> 565<div class="toctree-wrapper compound"> 566<p aria-level="2" class="caption" role="heading"><span class="caption-text">II.â¨ÐбÑабоÑка даннÑÑ Ð¸ опÑимизаÑиÑ. ÐелинейнÑе модели</span></p> 567<ul> 568<li class="toctree-l1"><a class="reference internal" href="Block2/Sem1/intro.html">2.1 ÐайеÑовÑкое оÑенивание. РегÑлÑÑизаÑиÑ. ЧиÑленное ÑеÑение ÑегÑеÑÑии</a></li> 569<li class="toctree-l1"><a class="reference internal" href="Block2/Sem2/intro.html">2.2 ÐинимизаÑÐ¸Ñ ÑÑнкÑии. ÐÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð°Ñ ÑегÑеÑÑиÑ
569</a></li> 570<li class="toctree-l1"><a class="reference internal" href="Block2/Sem3/intro.html">2.3 ÐелинейнÑе ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð¸ ÑиÑÑемÑ.</a></li> 571<li class="toctree-l1"><a class="reference internal" href="Block2/Sem4/intro.html">2.4 ÐлаÑÑеÑизаÑиÑ</a></li> 572<li class="toctree-l1"><a class="reference internal" href="Block2/Sem5/intro.html">2.5* ÐлаÑÑиÑикаÑиÑ. ÐейÑонки</a></li> 573</ul> 574</div> 575<div class="toctree-wrapper compound"> 576<p aria-level="2" class="caption" role="heading"><span class="caption-text">III.ðÐÑÑиÑлиÑелÑÐ½Ð°Ñ Ð»Ð¸Ð½ÐµÐ¹Ð½Ð°Ñ Ð°Ð»Ð³ÐµÐ±Ñа</span></p> 577<ul> 578<li class="toctree-l1"><a class="reference internal" href="Block3/Sem1/intro.html">3.1 ÐÑеÑаÑионнÑе меÑÐ¾Ð´Ñ Ð´Ð»Ñ ÑеÑÐµÐ½Ð¸Ñ Ð¡ÐÐУ</a></li> 579<li class="toctree-l1"><a class="reference internal" href="Block3/Sem2/intro.html">3.2 ÐÑоблема ÑобÑÑвеннÑÑ Ð·Ð½Ð°Ñений</a></li> 580</ul> 581</div> 582<div class="toctree-wrapper compound"> 583<p aria-level="2" class="caption" role="heading"><span class="caption-text">IV.ð§®ÐÑÑиÑлиÑелÑнÑй маÑемаÑиÑеÑкий анализ</span></p> 584<ul> 585<li class="toctree-l1"><a class="reference internal" href="Block4/Sem1/intro.html">4.1 ÐнÑеÑполÑÑиÑ</a></li> 586<li class="toctree-l1"><a class="reference internal" href="Block4/Sem2/intro.html">4.2 ЧиÑленное инÑегÑиÑование</a></li> 587<li class="toctree-l1"><a class="reference internal" href="Block4/Sem3/intro.html">4.3 ÐÑÐµÐ´ÐµÐ»Ñ Ð¸ ÑÑдÑ</a></li> 588<li class="toctree-l1"><a class="reference internal" href="Block4/Sem4/intro.html">4.4 ÐиÑкÑеÑное пÑеобÑазование ФÑÑÑе</a></li> 589</ul> 590</div> 591<div class="toctree-wrapper compound"> 592<p aria-level="2" class="caption" role="heading"><span class="caption-text">V.ð¥ÐиÑÑеÑенÑиалÑнÑе ÑÑавнениÑ</span></p> 593<ul> 594<li class="toctree-l1"><a class="reference internal" href="Block5/Sem1/intro.html">5.1 ÐÐУ. ÐадаÑа ÐоÑи</a></li> 595<li class="toctree-l1"><a class="reference internal" href="Block5/Sem2/intro.html">5.2 ÐÐУ. ÐÑÐ°ÐµÐ²Ð°Ñ Ð·Ð°Ð´Ð°Ñа</a></li> 596<li class="toctree-l1"><a class="reference internal" href="Block5/Sem3/intro.html">5.3 УРЧÐ. ÐеÑод конеÑнÑÑ ÑазноÑÑей</a></li> 597<li class="toctree-l1"><a class="reference internal" href="Block5/Sem4/intro.html">5.4 УРЧÐ. Finite Element Method</a></li> 598<li class="toctree-l1"><a class="reference internal" href="Block5/Sem5/intro.html">5.5* ÐейÑоÑеÑевÑе меÑÐ¾Ð´Ñ Ð´Ð»Ñ ÑеÑÐµÐ½Ð¸Ñ ÐУ</a></li> 599</ul> 600</div> 601<div class="toctree-wrapper compound"> 602<p aria-level="2" class="caption" role="heading"><span class="caption-text">VI.ð²Ð¡Ð»ÑÑайнÑе пÑоÑеÑÑÑ</span></p> 603<ul> 604<li class="toctree-l1"><a class="reference internal" href="Block6/Sem1/intro.html">6.1 ÐÑÐ½Ð¾Ð²Ñ Ð¼ÐµÑода ÐонÑе-ÐаÑло</a></li> 605<li class="toctree-l1"><a class="reference internal" href="Block6/Sem2/intro.html">6.2* Renforcement Learning</a></li> 606</ul> 607</div> 608</section> 609 610
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