{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", " First Leaf (基本操作) \n", "
\n", "
\n", " cc by Shigeto R. Nishitani, 2025-09-19 \n", "
\n", "\n", "* file: ~/jupyter_num_calc/symbolic_math/first_leaf.ipynb" ] }, { "cell_type": "markdown", "metadata": { "toc": "true" }, "source": [ "

Table of Contents

\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 入力とヘルプ\n", "\n", "pythonの動作環境としてnotebookを使っていきます.notebookは,文章フォーマット(title, head, 目次, 表),数式(tex記法), グラフ作成などreportを作成するための基本的な機能が備わっています.さらにhtml, latex, pdfなどへの出力が可能なため,科学技術に関連するすべての分野で社会人になっても標準的なツールとして使うことになります.read -> eval -> printというloopでcodingを進めていきます." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## よく使うkeyboard short cut\n", "1. 入力はshift+enter\n", "1. 改行はenter\n", "\n", "1. command mode(cellが青色)\n", " 1. hでhelpを表示\n", " 1. escでedit modeへ\n", " 1. ^jは下にcellを挿入\n", " 1. ^kは上にcellを挿入\n", " 1. ^xでcell cut\n", " 1. ^yでcell paste\n", " 1. ^mはcellをmarkdown cellに変更\n", " 1. yでcode cellに変更\n", "1. edit mode(cellが緑色)\n", " 1. emacsのkeybindが使える.うまくいかないときは,closeして再openするといい.\n", " 1. escでcommand modeへ" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 数式処理libraryのimport\n", "\n", "pythonはいろいろな用途に対応する汎用言語です.数式処理をさせるにはそれに必要なlibraryを読み込んでおく必要があります.sympy(symbolic python)がそれです.libraryのimportの仕方は幾つかありますが,全部読み込んでくれる\n", "``` python\n", "from sympy import *\n", "```\n", "\n", "から覚えてください.\n", "慣れてきたら,`*`で全てをimportするのではなく,\n", "必要なものだけを見極めてそれを明示してimportするようにしてください." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## restart\n", "\n", "何回も入力を繰り返して,特にimportをいろいろしたり,変数への代入を繰り返すと,前のものが残っていて,挙動がおかしくなります.そういうときは,jupyter menu barにある[kernel]->[restart]で入力を一旦クリアしてもう一度関連するcode cellを入力しなおしてください." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## help\n", "helpの表示は関連するlibraryをimportしておいて,そのあと,「?」マークに続けてキーワードを打ち込めばいい." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from sympy import *" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "?Rational" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## その他の参考サイト\n", "* [sympy tutorial](http://docs.sympy.org/latest/tutorial/index.html)\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# print\n", "\n", "出力が複雑な式だと,ひとめでわかるように見やすくprintしてくれると嬉しいです.jupyter notebookではmathjaxをつかってlatex形式から綺麗に表示してくれます." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\int \\sqrt{\\frac{1}{x}}\\, dx$" ], "text/plain": [ "⌠ \n", "⎮ ___ \n", "⎮ ╱ 1 \n", "⎮ ╱ ─ dx\n", "⎮ ╲╱ x \n", "⌡ " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sympy import symbols, Integral, sqrt, pprint, integrate, sin, cos, pi\n", "init_printing(use_latex='mathjax')\n", "x = symbols('x')\n", "com1 = Integral(sqrt(1/x),x)\n", "com1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## その他の環境で\n", "\n", "notebookではない環境ではprint(pretty(com1,use_unicode=False))が比較的綺麗.なにも明示せずにOutで帰ってくるmathjaxが一番読みやすいんですが,途中の経過を自動で表示してくれるわけではありません.そこで,比較的覚えやくて綺麗なpprintを多用します.\n", "\n", "その他の明示的な出力コマンドは次の通り.\n", "```ptyhon\n", "str(com1)  # 文字列で\n", "\n", "print(com1)  #標準的な出力\n", "pprint(com1,use_unicode=False)\n", "print(pretty(com1,use_unicode=True))\n", "print(latex(com1)) # latex表記\n", "srepr(com1) # 内部での厳密な取り扱い(Advanced Expression Manipulationをgoogleへ)\n", "```" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " / \n", " | \n", " | ___ \n", " | / 1 \n", " | / - dx\n", " | \\/ x \n", " | \n", "/ \n" ] } ], "source": [ "print(pretty(com1,use_unicode=False))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "⌠ \n", "⎮ ___ \n", "⎮ ╱ 1 \n", "⎮ ╱ ─ dx\n", "⎮ ╲╱ x \n", "⌡ \n" ] } ], "source": [ "pprint(com1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 代数式\n", "\n", "例えば,\n", "$$\n", "(x+y)^2 = x^2 + 2xy + y^2\n", "$$\n", "という展開をおこなったり,微分,積分,線形代数計算を$x,y, A, b$\n", "なんかのシンボルでそのまま変形したい時があります.\n", "\n", "こういうことをおこなってくれるシステムが数式処理システム(Computer algebra systems)と呼ばれるものです.\n", "代表的な商用製品としては,Maple, Mathematicaがあります.\n", "同じコンセプトでフリーのものには,Octave, Maxima, SciLabなどがあります.\n", "\n", "これをpython上で実現しようとしたのが,sympy, sageです.\n", "sageのほうが入出力が綺麗なんですが,残念ながらwindowsでは動きません.\n", "したがって,sympyでしばらくどこまでできるかを試してみます.\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2*x + 1\n" ] } ], "source": [ "from sympy import symbols, Integral, sqrt, pprint, integrate, sin, cos, pi\n", "x = symbols('x')\n", "expr = x + x + 1\n", "print(expr)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle 2 a + 1$" ], "text/plain": [ "2⋅a + 1" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 間違ってもそのまま通ってしまうので注意\n", "x = symbols('a')\n", "x + x + 1" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'a'" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# シンボルの名前を表示\n", "x.name" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle 2 x y$" ], "text/plain": [ "2⋅x⋅y" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x,y,z = symbols('x,y,z')\n", "expr = x*y + y*x\n", "expr" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle 2 x^{2}$" ], "text/plain": [ " 2\n", "2⋅x " ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "expr = x*(x+x)\n", "expr" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 2\n", "2⋅x \n" ] } ], "source": [ "pprint(expr)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{2 x^{3}}{3}$" ], "text/plain": [ " 3\n", "2⋅x \n", "────\n", " 3 " ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "expr.integrate(x)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{2 x^{3}}{3}$" ], "text/plain": [ " 3\n", "2⋅x \n", "────\n", " 3 " ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "integrate(expr,x)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "32\n", "128/3\n" ] } ], "source": [ "print(expr.subs({x:4}))\n", "print(expr.integrate(x).subs({x:4}))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# plot\n", "\n", "簡単なplotです.\n", "\n", "1. 複数の関数のplot, 色の変更まで.\n", "1. parametric plotして円をaspect_ratio 1:1で.最後に追加.\n", "1. sin(x) * cos(y) ぐりぐりはできなさそう.Axes3Dでできることを確認.\n", "\n", "はじめの%matplotlib inlineはplotをnotebookのなかに表示させる呪文です." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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x7hn9p9ssyE6Jg0IWmqCXqylIS8ThS30w2Rwhv1ckc6ZtACKhAKUhNtsCPgXl9lKobh8I+b2YgigoHtJqHka/3YmlDCgowNe90zA4it6hUUbuxxZ79+7Fxo0bIRJd8RW0tbWhqqoKb7zxBr73ve+hqalpwnVbt25FVVUVqqqqoFDMrSYiRVE43W4J+e6JpiwrCQDCajLjImfaLShIl4Uk/+lalmQnQyAAToaRH4ooKB5yus1nZ2ZSQQHAWR5OZmq1Gh0dHf7XnZ2dUKvVk567d+/eCeY9+tzc3FysXLlynH8qmHRaRmC0OhjZFQNA8YJEiISCsK2CzQU8XgrnOgYYW3QkxkYhXyVDVRj5oYiC4iGn2yyQxYihVUgZuV/RggREifg5mZWXl6OhoQEtLS1wOp3Yu3fvpNF4ly9fhsViwYoVK/zvWSwWOBw+E5jJZMLx48fHBVcEkzPtY4sOhiazWIkIi9JkvBxTvlDXY4Xd6cF1Y7tVJrg+R44z7Ra4PeHRDZsoKB5ytt2C67KSIZxne/fZEhMlQkF6Aqo7+LcyE4vFeOmll7Bu3ToUFBTgnnvuQVFREbZv344DBw74z9u7dy82bdo0rr3FpUuXoNfrsXjxYqxatQrbtm0LmYI63WZBvESE/DTmIiXLMpNwrmMAXi/JcQsFZ8d+L0ztoABgRW4K8lQyXO6xMnbPUELCzHnG0IgLrWY7bitOZ/S+ZZlJePt0JzxeCiKGFGOwWL9+PdavXz/uvWeeeWbc65///OcTrrvhhhtw4cKFUIrm53SbBWVZSYx+t2WZSfjLl+1oNtmgVfIvhYDrnGkbQEq8BFnyOMbuWbggAdUdA7jQNYhidegDM0IN2UHxjItdg3C5vbgui9mHrywzCXanBw194bEy4xJ2hxuXDEOMmfdoaNMTH32LfIC2dASz6eRMZMnjkBAjxvnOQcbuGUqIguIZ57sG4aGAYnUSo/elAyVI1FfwOdcxAC8FXMdQgARNbqoUshgx8UOFAIvdiWaTHUuykxi9r0AgQGlGEi6ESWVzoqB4xoWuQaiTYiGPlzB635zUeCTGRpHJLAScHftOl2Qyq6CEQgEWZySRMQ0BF7sHcX2OHEvGFnZMUpKRiLoeK0ZdHsbvHWyIguIZFzoHGUn6uxaBQIDFmWQyCwXV7RZcnyNHYlzwGxTORFlmEi73WDHi5P9kxiXOdw7iZEs/ClnwA5WqE+HyUKgLg0AJoqB4xOCwC+39w6w5P8syk1Dfa4XdET6lVLjAxe4hpCeGtmTVVJRlJsHjpXCxOzx8FlyhpnsQmfJYJMQwv+igiw2f7+L/mBIFxSPoSYSNHRQAXJeZBC+FsHHAcgGTzQHD4CiKF7C06CAVJUJCbfcQitLZGVPaBXChc4CV+wcToqB4BK0Y2JrMFtOBEsTMFzQujq1y2doVp0qjkZEcS8Y0iFhHXWg1D6NoQQIr9xcIBChRJ4bFQpIoKB5xsWsQGcmxSGY4QIJGHi/BLYUqdA3ws7I5F6npHgLgy19hi4pCFcx2UjQ2WFwy+Hw/RWr2xrQ0IxENfTbe+xaJguIR57sGWDPv0YhFAnzaYGJVhnDiYtcgslPikBjLvK+CRiGLxonmfgyOuFiTIZyoGTPFF7Jk4gN8DQw9Xgq1hiHWZAgGREHxhIFhJzr6R1jPDi9MT0CbeRjWUTKZBYOL3exn/Bem+1b6l3g+mXGF2u4hpMRLoEoIfduUqSjNSAIA3vuhiILiCRe7fJNHKcMJutdSNOb/CpdaX2ziX3Sw5FOkoc2Ltd1EQQWDmu4hFC5IYLSCxLWoEqKhkEXzPpKPKCiecH4sM7yYRbs2QCazYEL7n9geU6UsBgpZNO/NQVzA6faioc/qX8ixhUAgQKk6ERd4HihBFBRPuNg1iCx5HJLi2AmQoFHKopESLyEKKgj4I/hYnswAn5mPjOn8aeizwuWhWA16oSnJSESj0cbrvEWioHjC+c5BlHCgOrFAIEDhggTUGPi9MuMCF7uHoE5iLyrzagoXJKChzwqnOzz6CLEFvStmK8T8akozEpEQI+a1b5EoKB4wMOyEUhaD8hw526IA8K2263tscIVJUzS2uNg1yLp5j6YwPQEuD0Wq1c+T2u4hxElEyEmJZ1sUFKYlYHDE7VeafIQoKB5Q32vDmXYLslOY6yszHYULEuD0eNFktLEtCm+xjrrQYrJzwrwHEN9isKjpHkRBegJjzUSnQ5UYg8TYKF4HNBEFxQPqen0PWL6KG03lishkNm/qeqy4Pkfur5vGNgtT4hEbJSKBEvPA66VwyWD1h+2zjUAgQH6aDPW9REERQkh9jxWyGDFrBUWvJSdVipgoIVFQ8+CSYQgnW/qRx5FFh0gowKJ0GRnTedDePwybw80J/xPNojQZ6nusoCiKbVHmBCMK6nznAE639TNxq7CkrseKfJWM1byKqxEJBchPSyCr7XlQ18utRQfg2xnXGoZ4O5mxzZUACW7sigEgTyWD1eFG18AI26LMCUYU1Pb9NXjhgzombhV2UBSFul4r8tK4sdKmKUxPQE03mczmSn2PjVOLDsBXmsc66kanhZ+TGdvUGgYhFgqgU0nZFsXPorF5g69mPkYUVL5KhoZe4lCfC31WBwZHXP4HjSsULkjA4IgL3YOjbIvCOyiKwuWeIe4tOmjfItkZz4ma7iFolVLERInYFsUP/YzxNVCCEQWlU0lhtjthspGKyYFCP1hc8VXQ0I5gPvgsDh48iPz8fGi1WuzcuXPC8ddeew0KhQJlZWUoKyvDK6+84j+2e/du6HQ66HQ67N69Oyjy9A45MDTq5kzQC02+SgahALwOS2YTusQRl0iIicKCxBjU81RBiZm4CT251vdakSplr4AiH6EfLK5NZovSZBAIfAqqolDFtjhT4vF48Pjjj+PQoUPIyMhAeXk5KisrUVhYOO68e++9Fy+99NK49/r7+/H000+jqqoKAoEAS5cuRWVlJZKTk+clkz8qk2M7qFiJCLkKKS8WHVyjzzoKo9XBKf8TTX6ajOygpoP+IRIzX+DU9VqhlEVzotrA1cRHi3FLoQoDw062RZmWkydPQqvVIjc3FxKJBJs2bcL+/ftnde0HH3yAiooKyOVyJCcno6KiAgcPHpy3THU9PgXAtV0xANyQKwdA/IqBUsuhChLXkp+WgCYjPxPrGVFQSlk0EmLEvHXUsUldj5VzK+2r+bjByLYI09LV1YXMzEz/64yMDHR1dU047+2330ZpaSk2btyIjo6OgK7dtWsX9Ho99Ho9jMaZv4+6HhsUsmjIObboAABVYiwOX+oj7VQChAuNJ6ciP00Kl4dCq8nOtigBw4iCEggEyFPxO2GMDTxeX+kZLq60Ad8OoM08DIeb310777zzTrS2tuL8+fOoqKjA5s2bA7p+69atqKqqQlVVFRQKxYzn1/daORf0QpPvN8cTa0cgXDIMIVMei4QY9hpPTkW+yqc0+WjmYyxRNy9NhvpeGwlLDoCO/mGMuryc3UFplVJ4vBRaOLwyU6vV/h0RAHR2dkKtVo87JyUlBdHRPt/oww8/jNOnT8/62kDxeCnU93J70QEADWQxGRD1PVaUZ3OjVua1aJTxEAkFqCMKamrylFIMjrhgtJJIvtlymaMBEjR5PFhtl5eXo6GhAS0tLXA6ndi7dy8qKyvHnWMwGPz/P3DgAAoKCgAA69atw4cffgiLxQKLxYIPP/wQ69atm5c87f3DcLi5u+jISI5FbJTIH8hBmBmn24smkx0LkmLZFmVSosUi5KTG83JMGYniA65MZnW9VigTuJM9z2Xqe60QCMCpxL+ryUmNh1AANHL4wReLxXjppZewbt06eDwebNmyBUVFRdi+fTv0ej0qKyvx29/+FgcOHIBYLIZcLsdrr70GAJDL5XjqqadQXl4OANi+fTvk8vmtkus4vugQCgXIU0mJOT4AWkx2eLwUZ3+ngC9QjY/NC5lTUGlXVttf0c1spyf4lHmWPA5xEsaGKSBiokRYmBKPhj7u7qAAYP369Vi/fv2495555hn//3fs2IEdO3ZMeu2WLVuwZcuWoMlS18PtRQcA6FQyfFzP7eAXLkG3KNEquTumi1QyvHveALvDjfhobs4nk8GYiS9V6otaIrbt2VPXw11fBY1WSVbbgVDP8UUH4NvdGa0OWOzcTiHgCvW9NggFgEbBXQVFbxC4vpi8FkarmeuUUl7aQdnA4fagxWTnbLQXjU4lRat5mHRinSV1HA6QoMnjef02pmns8y06uFTi6FroeYTOweMLjCqo/DQZGkkk36xoNvrs2pyfzFQyzkfycQV60cFV/xNN3pj5kSio2VHfa4OO42OamRyH2CgR70LNmd1BjZV+N5ACozPid6ZzfAdF291Jq/CZaerzLTq4PqZpCTGQxYiJtWMWON1etJrs0HHY/wTwN/iFUQWVNzaI5MGfmbpeK6JEAuSkxrMtyrRoFFIIBdwONecK9RytwXctVxLryZjORKvZDjcPLB2A77njWy4UswqKJAHOmvoeKzQKKaJE3G56HBMlQpY8Do1kBzUjfFl0APBXfiHm+Omh64tyOYKPJk8lg8nGr64SjM5+yfESKGTRZGU2Cy7zIIKPRkf6fc2KOp4sOgAgXyXFwLALRh5NZmxA5yryQUEtSvOVPOJT6w3Gfyl8tIMyjXXUha6BEc6bgmh0SilaTHYSyTcDfEgboPFXCekhC4/paOyzcT6Cjyafh80LWVBQvtW210tMB1NB7zC5Hu1Fo1NJ4fZSaDOTSL6p4Nuigw41J/7i6anvtUKn5MeYpkolkMdLeOWHYkVBjbg86BoYYfrWvIEvznQa+gdKTLdTw7dFR6o0GikksX5aXB4vWkx2TlcFuRqBQIB8lYxXiw5WFBRAciymo67HiniJCGqOFp+8Fo1CCoGAhJpPB98WHYBvZ8ynyYxpWk10BB8/FBTge/7qe628sWAxrqDo1QZ58KemrscKnUoGoVDAtiizIlbii+QjgRJTU9djRRyPFh2Ab7fXQBLrp4QuG8QXEx/gU1DDTg86LfywYDGuoBJiopCeGEMms2mo77XyxhREo1NKyQ5qGugACb4sOgDfYlIiFhJz/BTQEXxcrsF3Lfk88y2yEu9KuutOjcnmgNnu5JUpCPCFmreY7HB5SCTfZDT08W/RoVXI0G93opFnBUaZoqHP5ishJOF+BB+Nv+0RT2rysaSgpGjss8HDEzsok/ClxNG16JRSuDwkkm8yzDYHrKMuFC1IYFuUgKDN8U1GMqaT0dBr5ZX/CQCk0WLos5PRzJMxZUVB6VQyONxetPcPs3F7TkMrKL7ky9BcqRJCVtvX0mS0w+GmkJUSx7YoASGPlyApLgpNRjKm10JH8Gl55H+iiYvmT51FVhRUPonkm5L+YSeuz5FDIYtmW5SAoCP5SKj5ROgJng/VBq5GIBBAo5ASE98ktJmH4fLwK4KPRqOIR7PRzotIPlYUFP1D5VPJDaY40WQGf9zoV4iViJCRHEsCJSahsc+GmCghFiTyJ4KPxjeZEQV1LXR+GJ8i+Gi0SilGXB4YhrjfVYIVBRUfLUZGcizqycpsAk1GGzQ8W2nT5ClJTb7JaDLakJsq5VUEH41WKYXJ5sTAMOmuezV0iLlGyf3Cv9dCRx3yYWfMWtVKX44FWW1fTb/dCcuwi1dhq1ejVUnRbLLBTSL5xtHYZ+OdeY+GfhaJH2o89b1WZMpjEScRsy1KwPjHlCioqdGpZGgy2khY8lXQk4BGwb9VGeDbQbk8FFrNJPiFZsTpK+vF10XHlcmMH1FfTNHYZ+OleQ/w1eRLiBHzYtHBmoLKU5Gw5GuhVzR8nczosGSu9YY6ePAg8vPzodVqsXPnzgnHf/nLX6KwsBClpaVYs2YN2tra/MdEIhHKyspQVlaGysrKgO/dbLKBovhpCgKATHkcJCIhLyYzpnB7vGg28qcG37UIBAJolVJejCmLCooUGL2WJqMN0WIhr8rhXI2//TuHxtTj8eDxxx/H+++/j9raWuzZswe1tbXjzrnuuutQVVWF8+fPY+PGjfjxj3/sPxYbG4vq6mpUV1fjwIEDAd+fziHiq4lPJPQ1WOTDZMYUbf3DcHq8vN1BARiLzuT+5oA1BZWbGo8lWUnoILlQfpqMduQq+OlMB4A4CfeCX06ePAmtVovc3FxIJBJs2rQJ+/fvH3fOqlWrEBfny1Favnw5Ojs7g3b/pj4bhAJgYQo/d1CAb/fHB4c6U9C+cz6GmNNolFKYbA4MDrvYFmVaWFNQcdFi9FkduNjNj5IbTNBktPHW/0SjU0o5FfzS1dWFzMxM/+uMjAx0dXVNef6rr76K2267zf96dHQUer0ey5cvx759+ya9ZteuXdDr9dDr9TAajeOONRptyORJQ7up0CqkaO8fhsPtYVsUTkBbCPhqigeu8i2auL3wYDUERaOQkhyLMUZdHnT0D+OuMjXbosyLPJUMxxvNcHu8EPOgtfnV/O///i+qqqrw8ccf+99ra2uDWq1Gc3MzVq9ejZKSEmg0mnHXbd26FVu3bgUA6PX6ccea+my8nsgA32rbS/mSU/lW4SQUDI268NU8BeKj+RfBR0ObnJv6bFiSlcyyNFPD6gziU1D8yGgONa1mO7wUeJsDRaNVSuH0cKeMlVqtRkdHh/91Z2cn1OqJi4DDhw/jueeew4EDBxAdHT3uegDIzc3FypUrcfbs2Vnf2+Ol0Gyy835XzKewZCb4vMkMAT+t8H4yk2MRJRJwvs4iqwoqVxHPm4zmUEOH8fJ9MuNa8Et5eTkaGhrQ0tICp9OJvXv3TojGO3v2LB555BEcOHAASqXS/77FYoHD4QAAmEwmHD9+HIWFhbO+d5dlBE63l7cBEjS5Y88k8UMBXi+FZqMduan8HlOxSIiFKdz3LbJu4gN8KzO+Rq4FiyajDQIBeP/g05OxL9Q8jV1hAIjFYrz00ktYt24dPB4PtmzZgqKiImzfvh16vR6VlZX40Y9+BJvNhm984xsAgKysLBw4cACXLl3CI488AqFQCK/Xi23btgWkoBqNPl8c3018cRIx1EmxJJIPgGFoFCMuD2/TBq5Go5Byvh4quwpqbJCbjTbcnKdgUxTWaTL6lDSfestMRny0GOqkGE517Fy/fj3Wr18/7r1nnnnG///Dhw9Pet0NN9yACxcuzPm+V3bF/FZQgG8XxXVzEBPwPVfxarRKKQ5d6oXT7YVEzE1/MatSKaTRkMWIyYMPOoKP/w894DPzXegaZFsM1mky2pASL0FyvIRtUeaNRuFL7Ix0f3GzMXwUlEYZD4+XQns/d+dfVhUUXc4/0k0HXi+Fpj57WDz0ALAwlT/l/ENJYxhE8NFolVIMOz3oiXB/cZPRjoQYMVKl4bHoALjtW2R9X+czHXD3C2KCnjCyawO+B3/ERSYzPlemvxZSNNZHk9GGXIUUAr6H8QHI9Y8p2UFNiUYhRe+QAzaHm21RWKMpjMwGwJWor0iezMw2x1hl+jBZdIwtniI91DycTPHSaDHSE2M4PaacUFAAIjphN5wcr4Cv8gAANHN4ZRZq6FVpuOygFNJoJMSI0RjBv1PrqAu9Q46wsXQA4LyLhXUFpVWS1XY42bUBQCGLhiyaH+X8Q4W/zXuYLDoEAgE0SmlEt91oMYVPVCaNZiw6k6K46S9mXUFlyeMhEgoi+sFv7PP5KsLBrg34JrNI9y3Sbd7DKb+P66vtUMP3fm2ToVFKYXO40TvkYFuUSWFdQUnEQmTJ4yL+wQ+nVRlwpYxVpMLnNu9ToVFI0Wd1YGiU2xWwQ0VTnx0ioQBZ8jBSUBwPfmFdQQG+FUmkTmZDoy70WR1hp6ByFfEwDI5GbPALvSsOJ64uMBqJNBltyJbHcTapdS74x5QoqKnRKKRoMdnhicC8GVoxh5PZALiyMmuJwIXHlTbv4TamtL848sYUuBJiHk4oZdGQRos5mwvFGQXl9HjRaeFGBWwm8Ufwhdlqm/57mjnebyYU0G3e+V4k9lqy5HFjFbAjb0w9XgqtpuGwiuAD6GIJ3PUXc0JBRXLeTJPRhiiRAFnyOLZFCSrZKXEQCiLTHOQPMQ+z1TZfKmCHgk6Lr827hufFnCdDo+BudCYnFJQmgvNmmow2ZKfEI4pnzf1mIlosQqY8LiLNQU19vsr0OanhtdoGIjeSzx/BF2Y7KMBn7egZ4qa/mBOzYnK8BPJ4SYQ++PxvaDcVkTqZNRptyEzmd5v3qdAo49FuHobL42VbFEahdxh8b4czGVxuSMkJBQWMJYxxdJsZKlweL9rM4VMk9lpyU+MjMvjF1+Y9fBcdbi+FNnNk+YvDqTL9tXC5WAJnFFRuauSttjv6h+HyUGGroDRKKRxuL7oHuNMbigkGR1xhF/RCc6UhZWT9VpuNdr+vPNzwF0vg4PzLGQWlUcbDbHdiYNjJtiiMEW712q6F60mAocDp9sIwOBo2JY6uJTcCxxQIz2R6GolYiOyUOE5asLijoHhQ+j3Y0D/ycF2Z5UZg3ozD7fPNhOuiQxotRlpCTEQpKIvdCbPdGbYKCvDNv1wsBMxBBcW9LylUNPbZoJRFIyEmim1RQkJKvASJsVERNaYOtweAz/8WrmiV0ohadNC5fOEYwUejUUjRZrZzLvhFzLYANBnJsZCIhBE1mYWz2QC4kgQ421YqfX19OH78OLq7uxEbG4vi4mLo9XoIhZxZR82Iw+2FKi4K8jB0ptNoFPF4+0wXKIoKmwLH00GbvsL5t6pRxMPlodDRP8ypahmc+eWLRdy1g4YCiqJ80V5hvCoDfD6LmVbbH330EdatW4fbb78d77//PgwGA2pra/Hss8+ipKQEP/vZzzA0NMSQxPPD4fJCEyYdV6eCroDdZ+VmBexg02SyQSISIiM5vJLpr+ZKTT5uzb+cUVDAWAXsCCmNY7I5MTTqDutVGeAbU+MMFbDfe+89/PGPf8SpU6ewa9cuPPvss3jxxRdx4MABnDt3Dtdddx0OHTo0ZxkOHjyI/Px8aLVa7Ny5c8Jxh8OBe++9F1qtFsuWLUNra6v/2I4dO6DVapGfn48PPvhgxns53J6wDTGn0XI4byYUNPXZsTA1DqIwqkx/LfSuiWvRmdxSUBGUBBhubd6ngp6sp6sS8sILLyArK2vSY2KxGHfddRfuvvvuOd3f4/Hg8ccfx/vvv4/a2lrs2bMHtbW148559dVXkZycjMbGRjzxxBN48sknAQC1tbXYu3cvampqcPDgQTz22GPweDxT3mtwxAW3l+KUiSQUaJRSyGLEaOuPjFyo5jA3xQNAYmwUluUkY2iEW61UuKWgIigJ8ErplPB+8HMDWG0/8MADGBwc9L9ubW3FmjVr5nX/kydPQqvVIjc3FxKJBJs2bcL+/fvHnbN//35s3rwZALBx40YcOXIEFEVh//792LRpE6Kjo5GTkwOtVouTJ09Oea/mCFl0KKQSUBRQ12NlW5SQ43R70dY/HPZjCvh8xidazGyLMQ5OKahIyrFo6rMjTiJCekIM26KElOyUOIhnmQR40003YdmyZX6T3y233ILvfe9787p/V1cXMjMz/a8zMjLQ1dU15TlisRiJiYkwm82zuvZqmsK0dcq1CIVCaBSRUTS2vd9XCSVcU0Guhm4yyqX274LphLn11lspk8kUlBsZjUYoFIppz/FQFGq7h5CWEAOFLDoo950vs5F7LnQNjMDtoZCdEjrHa6hkD5T6XiuixaJZ/a02mw11dXUQCoUoLi5GVNT8QvAtFguGhoaQnZ0NADCbzbDb7eNMijU1NdDpdJBIfJF3Fy5cQEFBAbq7uyGVSiGXywH4dnSJiYlITk4edw+j0QiTyQRvdAIcVguuW1wMPnorAnleOizDsDs8WJQmC7FUsyNUz/rQiAtt/cPQKqSIlQS/tiJXfqMAYLI5YBgcRUF6AsSz8LcFU/bTp09/QFHUrRMOUBQ13b+gsXTp0lmdV/7sIeoHb1YH89bzYrZyB8oNO45Q391zJiSfTRMq2QPloddOUWv/69iM573++uuUTqej3njjDSotLY267rrrqOrq+T0Ln3/+OXXLLbf4X//iF7+gfvGLX4w755ZbbqE+//xziqIoyuVyUSkpKZTX651w7tXnTcbW109REsXCecnLJoE8Ly8dbaCyn/wnZR11hVCi2ROqZ/13H/n+zqERZ0g+nyu/UYqiqGN1fVT2k/+kTjSZZnV+kGWfVAdxysQHREYF7CsdV8Pfrg34gl9azXa4Zwh+efvtt/HZZ5/hm9/8JtRqNV5++WV861vfmte9y8vL0dDQgJaWFjidTuzduxeVlZXjzqmsrMTu3bsBAG+99RZWr14NgUCAyspK7N27Fw6HAy0tLWhoaMD1118/5b2ajHYIvNxrWRAKaDNmuHdMNgyM4kZNCmRhmkx/NVzsmMyZRF2aXEU8/nGuO6yTAGkFHG4dV6dCo5DC5aHQaRnBwmkqLOzbt2/c6+uvvx5ffvnlvO4tFovx0ksvYd26dfB4PNiyZQuKioqwfft26PV6VFZW4qGHHsIDDzwArVYLuVyOvXv3AgCKiopwzz33oLCwEGKxGL/73e8gEk1u5nGPVaaPHAV1xV9ckpHIsjSh40LXIOJCYNrjIgsSYxETxa1iCYwpqK1bt87qPI1CiqFRN0w2Jyf8ULOVOxCYCjEPhexzQXNVx+TJFNSzzz6Lxx57zO/rAa7ILpFIcPToUQwPD+OOO+6Y0/3Xr1+P9evXj3vvmWee8f8/JiYGf/vb3ya99ic/+Ql+8pOfzHiPDssIXB4KsvjYOcnIBQJ5XrJTuFUBOxTPOkVRaDLacFeZOuifTcOV3ygACIWCgLpKMCE79xSUku6uawtjBWWHUAAsTA1tZjpXHv7c1HiUZiTCMDg66fGSkhLceeediImJwZIlS6BQKDA6OooHHngA1dXVWLt2Lf7jP/6DYakDgw6jT03m724ikOdFIhYiWx4X1grKaHPAOuoOaVQmV36jNBqlFNUdllmdy4TsHPRBcc8OGmya+mzIkschWhwZpoPk+Gh0WUZwoXNw0uNvvfUWjh8/jnXr1qGoqAgejwcJCQm4//77cfLkSfzqV7/iTKTTVNATdbSYcz+pkJGrkIZ1aTJ/Db4IMcUDvvm30zKCUdfUCelMEtRf09/+9jcUFRVBKBSiqqpq3LHZlIxpaWnB129dBbid+O1rf4XTyXxvqHvvvRdlZWUoKyvDwoULUVZWNul5CxcuRElJCcrKyqDX6wO6R6iKxP785z+HWq32y//ee+9Net5MpX9CgUY5teng9OnTePTRR7F9+3b853/+Jz777DNs2LAB5eXlGBkZ3+xwPt97MLn2O2wy2pAqjfaXw5mufBKbdHR0YNWqVSgsLERRURF+85vfTDjn2LFjSExM9D9HV5tDr0ajZL5j8kzjT1EUvvvd70Kr1aK0tBRnzpyZ872CZYqvq6vzf5dlZWVISEjAr3/963HnzPY7DzUahRQUBWQXl6O4uNj/fn9/PyoqKqDT6VBRUQGLZfJd1u7du6HT6aDT6fyBR/NiqvA+ag5h5rW1tdTly5epr371q9SpU6f879fU1FClpaXU6Ogo1dzcTOXm5lJut3vC9d/4xjeoPXv2ULf++hNq6fdfpX7/+98HKkJQ+f73v089/fTTkx7Lzs6mjEZjwJ/p9ngp3U/eo37xbu18xZvAz372M+qFF16Y/v5uN5Wbm0s1NTVRDoeDKi0tpWpqaoIuy7Vse/s8Vfb0B5Me+81vfkNlZmZSEomEysnJoRITE6nExERq4cKFVE5Ozrhz5/q9B5PJvsPbXjxEfePlz/2ht7/73e+oRx55hKIoitqzZw91zz33sCmyn+7ubur06dMURVHU0NAQpdPpJoz/Rx99RN1+++0zftZfT7VT2U/+k2o12UIi62TMNP7vvvsudeutt1Jer5f64osvqOuvv37O9/r5gYtUwVPvUx6Pd86fcS1ut5tSqVRUa2vruPdn+52HmpquQSr7yX9Sv933GVVUVOR//0c/+hG1Y8cOiqIoaseOHdSPf/zjCdeazWYqJyeHMpvNVH9/P5WTk0P19/fP9tahDzMvKChAfn7+hPdnUzKGoigcPXoUGzduhEYRD2Fi+oSoLiahKApvvvkmvvnNbwb1czstw3C6vayFmM+m9E8o0CjiYRl2wWybWAH7u9/9Ltrb27FlyxY0Nzfjz3/+M26//Xa0tLSgubk55LIFymTfYbPJPm5MpyqfxDbp6elYsmQJAEAmk6GgoGDa6hjTwcUebvv378eDDz4IgUCA5cuXY2BgAAaDYU6f1TTW5l0YxCKxR44cgUaj8SeOc42c1HgIBEC/a3xY/dXP8+bNmyedmz/44ANUVFRALpcjOTkZFRUVOHjw4LzkYcRgPpuSMWazGUlJSRCLxb4K2MNedBp6mRBvUj799FOoVCrodLpJjwsEAtxyyy1YunQpdu3aNevPDXUNvpdeegmlpaXYsmXLpNvwQMv3BIvZlPP/wx/+AAD405/+hNtuu23Sc+b6vQeTa7/D5LRMjFLicc70qconcYnW1lacPXsWy5Ytm3Dsiy++wOLFi3HbbbehpqZm0uv9/mIG/VAzjX8wn++mvuCb4vfu3Tvlonc233moiZWIoE6KRfvAePdKb28v0tPTAQBpaWno7Z04N4dibgk4im/t2rXo6emZ8P5zzz2HDRs2zEsYGo1SCgqANz41KJ93LbP5G/bs2TPt7umzzz6DWq1GX18fKioqsGjRItx8880z3puuXzbXyKDpZH/00Ufx1FNPQSAQ4KmnnsIPfvAD/OlPf5rTfYIN/UN/4PEfIqp9/O756u/9ueeeg1gsxn333Tfp58z1ew8lJqcv2IVPznSbzYa7774bv/71r5GQkDDu2JIlS9DW1gapVIr33nsPd911FxoaGiZ8RlKcBKlSCaM7KKbGf9jpRtfACO5VZM588ixxOp04cOAAduzYMeHYbL9zJtAopGjvn7oQsEAgYCxHNWAFdfjw4YBvolar0dHR4X/d2dkJtXp8bkFKSgoGBgbgdruhVcSjIEWMwQxtwPeaDTP9DW63G++88w5Onz495Tm0/EqlEl/72tdw8uTJWf1QmvrsSJVKkBQ3t46rs/3+v/Od70yaNzSbsQgF6iRfEuB9j/0QT91ROOk5r732Gv75z3/iyJEjU/4A5vq9B5Nrv8OGnkEACdCkSieck5GRAbfbjcHBQaSkpDAq51S4XC7cfffduO+++/D1r399wvGrFdb69evx2GOPwWQyITV14oIxl+HKLzONf7Ce72Z/4d/gLTref/99LFmyBCqVasKxQL7zUKNRSPFlswmiqypKqlQqGAwGpKenw2AwQKlUTrhOrVbj2LFj/tednZ1YuXLlvGRhxMQ3m5IxAoEAq1atwltvvYVchRSXTC7kLPkKE+JN4PDhw1i0aBEyMjImPW6322G1Wv3///DDD8dFvExHYwh7y1xta//73/8+qUyzKf0TCmZKAjx48CD+8z//EwcOHEBc3OT5YfP53oPJtd/hFzUtiBIC6uQrSbpTlU9iG4qi8NBDD6GgoADf//73Jz2np6fH7y87efIkvF7vlMpVM4uOycFiNuNfWVmJ119/HRRF4cSJE0hMTPSbpgIhFNVeprPKBPKdhxqNMh6jbgpUzJWcvquf5927d09qLVu3bh0+/PBDWCwWWCwWfPjhh1i3bt38hJkqeoKaQxTfO++8Q6nVakoikVBKpXJckc5nn32Wys3NpfLy8qj33nvP//5tt91GdXV1URRFUU1NTVR5eTml0WiovO/voR79n1MT7sEEmzdvpv7whz+Me6+rq4u67bbbKIryyVlaWkqVlpZShYWF1LPPPjurz/V6vVTpzz+g/u8754MuM0VR1P33308VFxdTJSUl1J133kl1d3dPkJ2ifJFOOp2Oys3NnbXsweBf3zhD3fT8kUmPaTQaKiMjg1q8eDG1ePFifwRcML73UHD1d/iV//gLte5XH1NPPfUUpdFoKIqiqJGREWrjxo2URqOhysvLqaamJtZkvZpPP/2UAkCVlJT4v+t3332X+sMf/uB/5v/7v/+bKiwspEpLS6lly5ZRx48fn/Lz/vhJE5X95D8ps80RctmnGv+rZfd6vdRjjz1G5ebmUsXFxeOiiQPhvz6so3K2/ZMacU6MNp4LNpuNksvl1MDAgP+9uX7noea2zd+lsp/8JxWv0VNqtZp65ZVXKJPJRK1evZrSarXUmjVrKLPZTFEURZ06dYp66KGH/Ne++uqrlEajoTQaDfWnP/0pkNtOqoOmbbcBgLWwo2//+SQMg6M4+D12/QvBxGRzQP/sYWy/oxBbbsphWxzG+fXhevzmSAMuPXMrYqLCJ0l51YvHUJAuw+/vWwq9Xj8hBzCc+aiuD9/+8ym89X9WQL9QPvMFPOHxN87gYtcgPv7RKrZFYRyj1YHy5w7jZ3cW4ts3MjZPTWpe4Gzau1YpRTPDSYChhi6HwydnejDRKn1JgNO1f+cbDrcH7RHScXUytBwMNQ8GoYjg4wupUgkSYsScGFNOKyin24tOS/i0f6dt9ZFSxfxauJg3M1/azcPweKmIncwWJMUiWiwMq9JkHi+FFpM97DsjT4VAIPBVfuFAGStOKygAYdVWurHPhtio8G/zPhV0EmA4KaimEER78QmRUICc1Hi/dSAc6B4YgYPFZHouwJW+fNxVUApfK+lwUlBNRlvQM9P5REyUCJnJcWE3pgCQE6GrbcBnsm7kwGQWLBpDnEzPBzQKKfqsDgyNuliVg7MKKjEuCgpZdFhNZo19tog179FoFPFhZQ5qMtqQlhADaTTnen8yhkYhRUf/MGcqYM8Xv684ondQvgUX2/5izioowOeADZeVWaS1eZ8KjUKKZqMN3jAJfmk22qFRRu7uCfBNZl4KaDOHh7+4yWhHclwU5PFzS6YPB+jdI9umW24rKKUUjb02ThTZnC+R1uZ9KrRKKRxuL7oGRmY+meNQYx1XyaIjvIJfyJgCWfI4iDnQMZnzCsrqcKPPOrECNt9gqs0716FXZuGwM6Y7ruamxuPUqVMoLS0FRVGw2+0oKirCxYsX2RaREXL9RWP5P6aAr5t3pP9Oo0RCZKew3zGZ8woKCI9ACabavHMd/2o7HMb0qo6r5eXlqKysRFdXF3784x/j/vvvZ6UMExvEScRQJ8WyPpkFg4FhJ0w2Z8SbbQHaHE98UFMSVgoqwtq8T4U8XgJ5PLMVsENFs2n8rnj79u0YGhpCVVUVfvzjH7MpGuP4OibzP/gl0tMGrkajlKLVbIfb42VNBk4rKKUsGrJocXgoKGI28KNRxHMiCXC+NPXZEScRIW0sr81sNsPj8cBqtWJ0dJRl6ZjFF53Jf38x8RVfQaOQwuWh0GFhz1/MaQVFZzTzXUF5vBSaTXby0I/BVBJgf38/KioqoNPpUFFRMWkDx+rqaqxYsQJFRUUoLS3FX//6V/+xb33rW8jJyUFZWRnKyspQXV097lqbw42KQpU/r+2RRx6BWq3GfffdhyeffDKkfxvX0CikGHZ60DPEb8XcZLRBIhIiIzmyTfHA1Q0p2Zt/Oa2ggLFIPp6bg9hu8841tEopzHYnLHbnzCfPg507d2LNmjVoaGjAmjVrsHPnzgnnxMXF4fXXX0dNTQ0OHjyI733vexgYGPAff+GFF1BdXY3q6mqUlZWNu/bTBqO/wuXrr7+OqKgoyOVybNu2DadOncLRo0dD98dxjCu+RX7vjJv67MhJjYcoQpPpryaXA9GZnFdQOqUURqsDgyPsZjTPh1C3eecbTIUl79+/H5s3bwYAbN68Gfv27ZtwTl5eHnQ6HQBgwYIFUCqVMBqNM362ddQFw+AodCpfxZMHH3wQb7/9NgBAJBLhyy+/xOrVq4P0l3AfOqiA777FZqONBEiMkRjrK5ZAFNQ0hEOgBC27luygADCnoHp7e/3N6tLS0tDb2zvt+SdPnoTT6YRGo/G/95Of/ASlpaV44okn4HBcSXdoGBvTPJUMu3btgl6vh16vn5VyC0cU0mjIOFIBe6443V60RXBl+slgu/ILbxQUn8OSfW3eo5EYF8W2KJxAneyrgB2MRcfatWtRXFw84d/+/fvHnScQCKbtaGswGPDAAw/gz3/+M4RC389ix44duHz5Mk6dOoX+/n48//zz/vMben2dXfNUUmzduhVVVVWoqqqCQqGY99/ERwQCAWcKjM6V9n57RFemnwyNwhcDwFbwC+cLiGUkx0EiFqKhz8q2KHPG1+admA1o/BWwg7AyO3z48JTHVCoVDAYD0tPTYTAYoFQqJz1vaGgIt99+O5577jksX77c/z69+4qOjsa3v/1tvPjii/5j9b02RIuJM/1qNAopjjea2BZjzjT2kRDza9EopBgccaHf7kSKNJrx+3N+ByUSCpCbGs9bEx9FUWjssxH/0zX48mZCO6aVlZXYvXs3AGD37t3YsGHDhHOcTie+9rWv4cEHH8TGjRvHHTMYDAB8Y7hv375xibcNY4V/iTP9ChplPHqGRmFzuNkWZU7Qz2MuWUz68dfkY8nMx3kFBfA7ks9sd2JwxEX8T9egZaAC9rZt23Do0CHodDocPnwY27ZtAwBUVVXh4YcfBgC8+eab+OSTT/Daa69NCCe/7777UFJSgpKSEphMJvz0pz/1f3ZDrxV5YwESBB/0zqOZp7/VJqMN6YkxiI/gyvTXolHEo3xhMmuNY3kxElqlFO9eMGDU5UFMFL8qMUR6m/ep0Cil8FJAq9mORWkJIblHSkoKjhw5MuF9vV6PV155BQBw//334/7775/0+qnCxIf8EXxkTK/m6uCX0owkdoWZAx39w1iWI2dbDE6xIDEWNd1DON85iK8vyWD8/rzZQVEUP0NYI73N+1RcSQLkX95MQ6/vOdQpyQ7qarJT4rAiNwXdPKxU7/VSuNA1yIqfhcsIhQLoVDLU97ITA8AbBQXwM9Q80tu8T0VuqpS37d8b+65E8BGuECUSwmx34Gz7ANuiBEyHZRijLi/yidl2AnlKKVFQ05GTGg+hgJ+h5pHe5n0qYiUiqJNiebnoqO+1ISZKiEwSwTeBPJUMdSxNZvOhrscnMzHbTiQ/TQaTzQmzjfm2R7xQUNFiEbJT4nkZKEHavE/N0uwkuFislDxX6nut0CqlZNExCYvSZOjoH+FdJB+deK0jO6gJ0MFA9b3Mz7+8UFDAlYQxPkHavE+PKiEWRy73wcOz9u8NvTbif5oCejJr4Nkuqq7HiozkWEhJBN8E/GPKQi4qbxSUVilFi4nd3iSBQkr3T0+eSgan24tWM38CJYZGXegZIhF8U0FHZNImM75QT9IGpkSVEI2EGDErY8orBeXyUGjrZycefy6QNu/TQzuk63k0mdERfHlkBzUpGcmxiI0S8coP5fJ40Wy0EwU1BQKBAHksRfLxSkEB/IrkI23ep0en8kXy8Wkyu1KDj0xmkyEUCpCnkvJqB9VmtsPp8SI/jSwkpyIvTYb6XuZr8vFGQdF5M3xSUEMjTtxSmBbxbd6nIiZKhIUp8byazOgIvozkWLZF4Sz5aezlzcyFuh6S1zYT+SoZBkdc6LMyG8nHGwUli4lCWkIMr0LNP6k3wcvzFtihJk8l5dcOqo9E8M1EnsoXlmxiISx5LtT1WiEUEF/xdNA+V6YXk7xRUAC/avKNOD2+Mj7poSnjEy7kpyWg1WQPaU2+YNLQayP+pxmgAyX44lts6LUiOyWed2XUmMTvL2Z4Mck7BdXEYm+SQGjos8JL+fJCCFOTr5LBS/HDdDs4QkfwkTGdjrwxXw5fdsZ1vVZSFWQGUqTRSJVKiIKaDq1SCrvTA8PgKNuizMjlsdUjUVDTQzum+eCzoEsc6YgpaFoU0mjI4yW88C2OujxoNdlJiaNZoFPKUMdwsi7vFBTAj9V2XY8VMVFCZKeQ3jLTsTAlHhKRkBerbX+IOZnMpsUXlswP32Kz0Q4vRSpIzIb8NBkae63wMphYzysFpVHEY3FGImu9SQLhcs8Q8lQy0tBuBsQiITRKfoQl1/f6Cv+SCL6ZWZSWgPoeZiezuUDv3POJpWNGdCqfBauLwWr1vFJQqdJodFpGUN0xwLYoM1LXYyVmg1mSr5LywqFOIvhmT55KxvhkNhfqeq2IEgmwkFg6ZiSfhZJHvFJQAoEA+Wkyzq+2jVYHTDYnieCbJflpCegeHMXQqIttUaalvtdK/E+zhN6RcP232tBrRU5qPCRiXk2FrECbQem8MSbg3ajkp/nK+XO5wGgdCZAICH+gBIcns8ERF3qHHMRXMUvoqDiu+6HqSA2+WZMY68tFZTKgiXcKqiAtAaMuL9o5XJPvcs8QAKKgZgs9QXB5MiNNCgNDFhMFdVIsp3dQdocbHf0jxBQfAHkMVwnhnYK6YjoYYlmSqbncY0WqNJq0j54l6iRfmwMu76DqSQRfwHC95FEj6QEVMHlKKRr6bIxZsHinoPJUMggEwCUDdx/8yz1DKEgnD/1socOSL3NaQVkRG+XrAkyYHXkqGZqMNs42pawjEXwBk5fma5HTxlCLHN4pqFgJtwuMuj1eNPTaiNkgQOjVdjCrhPT396OiogI6nQ4VFRWwWCyTnicSiVBWVoaysjJUVlb6329pacGyZcug1Wrx9uHPoVHEkQi+AFiUJoPLQ6HFxM1+X/U9VkSLhciSk24DsyWf4e66vFNQgO9L4qq/otU8DIfbSyL4AiRfJYNl2AVjEAuM7ty5E2vWrEFDQwPWrFmDnTt3TnpebGwsqqurUV1djQMHDvjff/LJJ/HEE0+gsbERjuhkYNAQNNkiAdocytWdcX2fDVqllOQqBgBdLIEp0y0/FVSaDK1mO0ac3CswSiL45kZeCMKS9+/fj82bNwMANm/ejH379s36WoqicPToUWzcuBGDIy44hLHoqa8OmmyRgEYZD5FQwFnfYj3JVQyY+GgxMuWxREFNR0G6DBTFzfptl3uGSOn+OZCvCr6C6u3tRXp6OgAgLS0Nvb29k543OjoKvV6P5cuX+5WY2WxGUlISxGKxv0mhrath0ut37doFvV4PvV4Po9EYNPn5TrRYhJzUeE7uoEjh37mTz2B3XTEjdwky+WPl/Ot6rFicmcSuMNdwuceX+EdK9weGr1pydMAP/tq1a9HT0zPh/eeee27ca4FAAIFgclNOW1sb1Go1mpubsXr1apSUlCAxMdF/vGEs2ktonVzBbd26FVu3bgUA6PX6gOQPd/LTZLjQOci2GBNo8AdIkIVkoOhUMhyrM8Lp9oY8wZmXCipLHoeYKCEnV2Z1PVaUZCTOfCJhAvlpgdfkO3z48JTHVCoVDAYD0tPTYTAYoFQqJz1PrVYDAHJzc7Fy5UqcPXsWd999NwYGBuB2u3HZMISUWAHkxJkeMPkqGd49b4Dd4UZ8NHemG9qHTdIGAidfJYPbS6HVbA/598dLE59IKEC+SuZPiOUKNocb7f3DWEQe+jmRp5KhvtcWtAKjlZWV2L17NwBg9+7d2LBhw4RzLBYLHA5fYIbJZMLx48dRWFgIgUCAVatW4a233kJN9xC8VhO+Nsn1hOnJ89dv41YHgvoeK+IlJG1gLjDZXZeXCgoAJ2vy0eYpEsE3NxalyTDi8qDTEpwCo9u2bcOhQ4eg0+lw+PBhbNu2DQBQVVWFhx9+GABw6dIl6PV6LF68GKtWrcK2bdtQWFgIAHj++efxX7/8JaoaDYiy9+Ghhx4KilyRxCKOJtbX99qgU8mmNPsSpkajkEIoYCYGgDt77gDJT0vAm1WdMFodUMi4UbHhsoFE8M2HK2HJQ8hKmb85LSUlBUeOHJnwvl6vxyuvvAIAuOGGG3DhwoVJr8/NzcWb732EVS8eww+33IvoaG48Z3wic8wcz2SB0ZmgKAoSsQCLM+Vsi8JLYqJE+MEt+biOAf8/b3dQBRysllzXMwRptJiYDeaIzp8EyJ0xren2OfgLF5Bd8VwQCQVjplvujGnP0Cg+rjchPZH8TufK46u0uEGbGvL78FZB5afJUKJO5FTC7qUeK/JUpF/QXJFGi5Elj+VUIeDa7iGIhQK/3Z0QOHkqGacCmmq6fObGYjVZdHAd3iqoFGk0zDYHznGkeSFFUajrsRL/0zwpWpCIqrbJSxKxQU33EHQqGaLFJG1grixKk8Fkc8AcxCoh8+Fi9yAEAqCA/FY5D28VFAAUqRNxsZsbORY9Q6MYHHER/9M8KUhPQIvJDpvDzbYoAIBawxAKyUQ2L7jWTuVi1xByU+MRJ+GtCz5i4LWCKl6QyJnJ7LK/xBGZzOZDiToRFAXUdLG/8OizjsJodaCI+J/mBb1o40rJo9ruQRSrSa4iH+C3glIngKKASwb2Q1jpCD5S22t+0BPHBQ4oqJpu33NFAiTmh0IWjVX5CnQNBCd9YD6YbQ50D46ieAFRUHyA5wrK95Bd5MBk1tBnxYLEGCTGRbEtCq9RyKKRlhDDCQVVSxRUUBAIBPBQwKcNJrZF8S86yK6YH/BaQSllvvptF7vY30Gd7xhA+UKSVxEMitWJnFFQWfI4JMSQRcd8WZyRiIY+G+sdCK4oKLKD4gO8VlACgQDF6gR/rgpb2BxuNJnsyFWQUORgUKLmhm+RBEgEj9KMJHi8FOu/1Yvdg8iUxxJLB0/gtYICfIESDX02jLrYW5ld7BoERQGlmWRVFgxKMhJYD5SwOdxoMdmJKShILB4roHyO5crmNV2DKEonv1O+wH8FpU6Ax0uxmgh4vnMAAFBKIoOCAhcCJejAG+J/Cg7KhBikJcT4fytsYB11odU8TBJ0eQTvFRRtS2YzUOJc5yDUSbFIkZJabcFAKYuBKiGa1TGld2/EVxE8SjMScZ7FHVQt8T/xDt4rqIzkWCTGRrFq2z7fOYDFxLwXVEpYDpSo6R7CkqwkqBLIoiNYlGb4fIuDIy5W7n+RVlBkB8UbeK+g6EAJtiL5LHYnOvpHUJqRxMr9w5USdRKaWQyUONsxgOQ4CWnHEETo3whbHXZrugehlEVDKYth5f6EwOG9ggKAm7SpiJWI4HAzHyhxfmyVT/xPwYXNQImhUReajDYsZqCdQCRR6g+UGGDl/g29VqwpmLyrMoGbhIWCykmV4mRLPyu7qPNjxWqLSZv3oMJmoMTFTl9UJlFQwSUpToLslDhWAiUGhp240DWEjOT59xkjMEdYKKgl2UkAgDMsVME+1zmIXEU8SeYMMmwGSlSPTaCLyaIj6JRmJLFi4jvbPgAAWJKVzPi9CXMnLBSUUhaDTHkszrQzr6AudA0Q816IYCtQ4lzHAHJS45EUJ2H83uHO4oxEdA/6ivAyyek2C0RCAQlm4hlhoaAAYGlWMk63WUBRFGP37B0aRe+QgwRIhIibtKmIjRIxHvV1rmOQ7J5CBP1bYdrMd7rNgoJ0GWmxwTPCRkEtyU5Gn9XBaMVkulkiWZWFhjyVDBe7h3CWwZ1xz+AoeoZGif8pRBQtSIBQwGxFCbfHi3OdA1hKzHu8I3wU1NjDd5pBP9QlwxDKFyaTem0hoiwrCSKhAFWtzI3pha5BLMuR47qsJMbuGUnER4uhVUoZ3UFd7rFi2OnBkmyioPhG2CioRWkyxElEjAZKHG8yw+n2IpaYDUJCnESMogUJqGrrn9P1/f39qKiogE6nQ0VFBSyWic/GRx99hLKyMv+/f/n37TjdakZBegK+9a1vIScnx3+surp6nn8RAfCZ+c53DjJmjqd90yRAgn+EjYISi4RYnJGEM2PROqHG6fbiXMcA9KTFRkhZmp2M6o4BuDzegK/duXMn1qxZg4aGBqxZswY7d+6ccM6qVatQXV2N6upqHD16FDGZRVicmYRosQgA8MILL/iPl5WVzffPIQC4QZOCxNgotPcPM3K/M20WKGXRyEiOZeR+hOARNgoK8E1mtYYhDDtDX33gYvcgHG4v9MRsEFLKF8ox6vL6+/gEwv79+7F582YAwObNm7Fv375pz9/z5tsQK3JwfW7qXEQlzJKiBb6SR6cYMt2ebrdgSVYyqQrCQ8JOQXm8FCMFKU+P/biWLiQKKpTQC4Cq1sDNfL29vUhPTwcApKWlobe3d9rz//f9T0EJhCi/akx/8pOfoLS0FE888QQcjslDo3ft2gW9Xg+9Xg+j0RiwnJGGTilFYmwUTrXMzXQbCH3WUXT0j2ApWUjykrBSULRjm4lAiVOt/chOiSN1vUKMMiEGWfI4nJpCQa1duxbFxcUT/u3fv3/ceQKBYNoVtMFgQJvd50ukfRU7duzA5cuXcerUKfT39+P555+f9NqtW7eiqqoKVVVVUCgUc/kzIwqhUAB9djJOzdG3GAhn2gYAgARI8JSw8u4nxUmgUcSHPFCCoiicbrNgZT6p68UE+uxkfNJgBEVRE5TM4cOHp7xOpVLBYDAgPT0dBoMBSuXU4/Xmm28ivfQmpKik/gRdevcVHR2Nb3/723jxxReD8NcQAKA8R44jl/tgsjmQGsI2NWfaLZCIhKQHFE8Jqx0U4DPznWkPbcJus8kOaYx4nCmIEDr0C+Uw2ZxoNQfmVK+srMTu3bsBALt378aGDRumPPcve/ZCnJSGpdlXgl4MBgMA34Jk3759KC4unoP0hMkoHwsumovpNhDOtFlQrE7wB70Q+EXYKagbNanQKaVo6rOF7B4nms1oMw9DTxQUI9Dfc6CT2bZt23Do0CHodDocPnwY27Zt831OVRUefvhh/3mtra3osgO9wxRu0KT437/vvvtQUlKCkpISmEwm/PSnPw3CX0MAfGWs5HFRqDGErsDzqMsNp8eLZTkpM59M4CRhZeIDgOuykvHvf63G581maFWykNzj8yYz0hJioFFIQ/L5hPFoFVJkJMeiodca0HUpKSk4cuTIhPf1ej1eeeUV/+uFCxfiqZf+Fzvfv4xluVd2UEePHp270IRpkYiFKFyQiEM1vfhBRX5I7nG2fRDnOwfxb6t1Ifl8QugJux1UVkocMpJj8VmDKSSf7/VSONFkxg2aFBK2yhBCoQBFCxLw7oWekJlujzeakKeSkqAXBlmhScHlHitMttAUjv28yQShAOMWHQR+EXYKCvAVGf2i2QyPN/iTWX2fFWa7Eys0xGzAJDdpU9E1MBKS5E6H24NTrf24QUPyn5iENqd+0WQOyecfbzShNCOJtMLhMWGpoG7UpsI66g5Jq4bPG30/phu0ZDJjkhvHvu/PGoO/Mz7bPoBRl3ec/4kQekrUiZBFi/F5U/DH1DrqwrnOQdyoJWPKZ8JSQdETzfEQTGbNJhtWaFKgTiJlU5gkJzUeCxJjQjKmnzfSpiAymTGJWCTEck1KSMzxVS2+VJMbya6Y14SlgkqRRqMgPSHok9moy4O3TnciT0mCI5hGIBDgBk0Kmo32oJtuOy0jqChUITGWmIKYZl2hCg63F83G4EbdflTfh+S4KJKgy3PCUkEBwJ2L09HePwzraPCa3X3eZMKoy4vVBaqgfSZh9qwuUOFyjxXVHcFLxDbbHPh7dRcWpZFETja4PicFfVYHjl7uC9pnUhSFo5f7UJaZhJgokv/EZ8JWQemz5ei0jODj+uDVRjtyqQ9xEhGWk6ggVrhRmwqxUIDDl4I3mX1UZwRFAWvJooMVslLioFNK8VFd8Ma0yWhDp2UEqxaRSi98J2wV1NLsZMjjJThUO32B0NlCr8q+okslWekskRgbhfKFchwNooI6cqkXqoRoUgqHRVYXKPFlc3/QrB30boyUIuM/YaugREIB1ixS4ujlvjn1ErqWWsMQDIOjWENW2qyypkCJul4rOoIQbu5we/BJvRGrF6lIThuLrFmkgttL4dMgBUtc7rHituI0EsgUBoStggKAikIVrKNufNk8/3pfRy/1QSAAVpFVGausLVBhYUpcUCazE839sDs9WFtAxpRNlmQlYUWuPChFnvuso/j72S7khaiKDIFZwlpBfUWnQEyUEIdqe+b9WQ19VlQUqKCQha7yMmFmFqbGIyZKhLfPdM77sz6tN+IrulR/jhWBHcQiITKS4/DXUx0YdXnm9VkfXOwBRQG3l6YHSToCm4S1goqViHB7STo6LCPwziM0uclow4FzBn8FZgK73Ll4AU63WdBpmbuZz+H24G+nO5ESLyGRXhzgzsULYHW45x3U9O4FA7RKKdlBhQlhraAA4Kv5Pj/UiZa5l1P5+5kuCAXAhrIFQZSMMFfuLPWNw7vnDXP+jGN1RgyOuLDhOnWwxCLMgxs0KZDHS/DPeYxp79AITrdZsL6E7J7ChbBXULcUqiCLFuOdM11zut7rpfD3s124UZsKZQIpJMoFslLisCQrCWfb5+6z2He2CynxEnyFmPc4gVgkxD36DJhtjjlH8+2v7kacREQWkmFE2CuomCgRbi9Nx/sXDBh2ugO+vqrNgq6BEXx9CVlpc4mvL8nAwZpenOsYCPhay7AvMfTOxQsgFoX9T4A3rCtKw+dNZuyr7g74WoqisPdUB7RKGWmDE0ZExK/zG/oMLEpPwP45PPjvnu/GitwUrCtKC4FkhLmyoWwB4iQi/OXLtoCvfedMN+TxUbhHnxECyQhzpSwzCQXpCXjjy/aA26qcarWg2WjHveWZIZKOwAYRoaCWZCVj2OnBn4+3BPTgGwZH8Jcv25GfJkOcJOx6O/IaWUwUNpQtwIFz3Rgcnr1JyOOl8NrnLVAnxaFwQWIIJSQEikAgwL8sy8IlwxBOBxhyfvCiARpFPO4g0XthRUQoKIFAgIduykF9ry2g/Jk/fdYCCsBDN+WETjjCnLlvWRZKM5Lw16r2WV9z+FIvOvpHsIWMKSfZsDgdS7OT8cqnzbO+ps1sx2uft2L1IiVZSIYZEaGgAF/x2BW5KfjrqY5Z7aIGR1zYc7IDt5ekI1Mex4CEhEApVvuKgf7hWBNsjpn9ixRF4Z0znbhJm4pbCklFEC6SECvBjdpUHKzpxSXD0Kyu+cOxJohFQnznK7khlo7ANBGjoKLFvmCJdy8YcPDizIm7r37ajML0BGy9mTz0XOYHFXmwDLvw589aZjz3wLlufFDTiw1lJDiCy2y5cSGk0WLs+rhpxnNbjDacaDZjU3kmibINQyLqV7qpPBOL0mR47r1L02as1/VY8ftjTciQx6JYTfwUXGZxZhIeWJGNdy8Y0G6eOnHX7nDj+YOXUbQgAXcvIcERXCYpToJtty7C/nPd0xZ7pigKT+2vgWXYiX9brWVQQgJTRJSCEouE2H5HIaLFQvz6cP2k57g9Xvx03wXIYsT46e2FDEtImAv/56sadFlG8P03q8c1M/zb3/6GoqIiCIVCPP6nY8hIjsP2OwohFI4vDHvw4EHk5+dDq9Vi586d/vdbWlqwbNkyaLVa3HvvvXA6nYz9TZHOPeWZyFPJ8B9/v4CB4cm/972n2vFZowk/vCUfChnZPYUjEaWgAOAGbSpW5Svx8sfNE0KUvV4KT759AT2Do3j+7lLI4yUsSUkIBHVSLJ65qwg9g6N49t1af1mr4uJivPPOOyi95wc41ubA8hz5hLbuHo8Hjz/+ON5//33U1tZiz549qK2tBQA8+eSTeOKJJ9DY2Ijk5GS8+uqrjP9tkYpELMSL31iMBYkxePwvZyb4GD9rMOG5f17C/cuzcN+ybJakJISaiAx52XbbInRahvGXE+0wDIxi1SIlbKNu/OHjRnQPjGDj0kzcQvKeeMVdZWq0mobxmyMN6Lc78cDybEQnLMBrx1tgVxZj1cIYfG9t3oTrTp48Ca1Wi9xcn69x06ZN2L9/PwoKCnD06FG88cYbAIDNmzfj5z//OR599FFG/65IplidiO/cnIt/31uNx/9yGv+yLBuZSbH4oLYXnzYYkSGPww9vyZ+wIyaEDxGpoMQiIX696TrseP8S9lV34Y+fNmNRmgzt/cN4ZkMxyaXgIQKBAN9bq4NWKcX/fecC2vuHYbE7ERMlQpylAVuXTDTtAUBXVxcyM68kd2ZkZODLL7+E2WxGUlISxGKx//2urrmVyyLMnTtKFyA5ToId713Cc+9eQnv/MLLksdBny/GzyiIkxkaxLSIhhESkggJ8JZCerizG46tGcabNgpR4CfLTE5AQQx54PrF27Vr09IyPyqTEMSj/3lMoX7kcJRkJ2LRvO6KEd4VMhl27dmHXrl0AAKNxftW4CRO5UZuKdx67EZcMQ2g127E0OxkZyST1IxKIWAVFo5TF4NZismPiK4cPH57X9Wq1Gh0dHf7XnZ2dUKvVSElJwcDAANxuN8Risf/9ydi6dSu2bt0KANDr9fOShzA5ErEQizOTsDgziW1RCAwScUESBMLVlJeXo6GhAS0tLXA6ndi7dy8qKyshEAiwatUqvPXWWwCA3bt3Y8OGDSxLSyBEFkRBEcKWv//978jIyMAXX3yB22+/HevWrQMAdHd3Y/369QAAsViMl156CevWrUNBQQHuueceFBUVAQCef/55/PKXv4RWq4XZbMZDDz3E2t9CIEQighnK/sy9DS2BEIHo9XpUVVWxLQaBwDcmDcUkOygCgUAgcBKioAgEAoHASYiCIhAIBAInIQqKQCAQCJyEKCgCgUAgcBKioAgEAoHASYiCIhAIBAInmSkPikAgBIBAIDhIUdStbMtBIIQDREERCAQCgZMQEx+BQCAQOAlRUAQCgUDgJERBEQgEAoGTEAVFIBAIBE5CFBSBQCAQOMn/B1W+hJIDMP4qAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%matplotlib inline\n", "\n", "# 上のはJupyterでは自動有効なことが多いですが、明示してもOK\n", "\n", "from sympy import symbols, Integral, sqrt, pprint, integrate, sin, cos, pi\n", "from sympy.plotting import plot, plot3d, plot_parametric\n", "\n", "x = symbols('x')\n", "plot(sin(x))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p = plot(sin(x), cos(x), (x, -pi, pi), ylim=[-0.5,1],\n", " legend=True, show=False)\n", "p[0].line_color = 'b'\n", "p[1].line_color = 'r'\n", "p.show()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%matplotlib inline\n", "from sympy.plotting import plot3d\n", "x,y = symbols('x,y')\n", "\n", "plot3d(sin(x)*cos(y), (x,-pi,pi),(y,-pi,pi))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## scipyのplot\n", "\n", "scipy lectureの[matplotlib](http://www.scipy-lectures.org/intro/matplotlib/matplotlib.html)\n", "を参照しています." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# %matplotlib notebook\n", "%matplotlib inline\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "X = np.linspace(-np.pi, np.pi, 256)\n", "C, S = np.cos(X), np.sin(X)\n", "plt.plot(X, C, label=\"cos(x)\")\n", "plt.plot(X, S, label=\"sin(x)\")\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create a figure of size 8x6 inches, 80 dots per inch\n", "plt.figure(figsize=(8, 6), dpi=80)\n", "\n", "# Create a new subplot from a grid of 1x1\n", "plt.subplot(1, 1, 1)\n", "\n", "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n", "C, S = np.cos(X), np.sin(X)\n", "\n", "# Plot cosine with a blue continuous line of width 1 (pixels)\n", "plt.plot(X, C, color=\"blue\", linewidth=1.0, linestyle=\"-\")\n", "\n", "# Plot sine with a green continuous line of width 1 (pixels)\n", "plt.plot(X, S, color=\"green\", linewidth=1.0, linestyle=\"-\")\n", "\n", "# Set x limits\n", "plt.xlim(-4.0, 4.0)\n", "\n", "# Set x ticks\n", "plt.xticks(np.linspace(-4, 4, 9, endpoint=True))\n", "\n", "# Set y limits\n", "plt.ylim(-1.0, 1.0)\n", "\n", "# Set y ticks\n", "plt.yticks(np.linspace(-1, 1, 5, endpoint=True))\n", "\n", "# Save figure using 72 dots per inch\n", "# plt.savefig(\"exercice_2.png\", dpi=72)\n", "\n", "# Show result on screen\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "以下にしめした3DでぐりぐりさせるAxes3Dはsympyをimportしているとうまく動かない.\n", "どっかで,conflictが起こっている.\n", "notebookのmenu barのkernel->Restartで初期化する必要あり.\n", "\n", "%matplotlib notebookが2023年夏頃から'Javascript Error: IPython is not defined'エラーが出るようになりました.これは,Jupyternoebook v7以上でmatplotlibの扱いが変わったようです.正しくはipymplをinstallする必要があるようです.\n", "\n", "新しいライブラリを入れるのが不安な人は,\n", "%matplotlib inlineに変更すると表示されます.どちらの場合でも,\n", "- 24/10/17 revised\n", "``` python\n", "#plot3d = Axes3D(fig)\n", "```\n", "と書き換えて完動.グリグリはできない(のかな?)!\n", "\n", "できた!!\n", "\n", "ipymplをインストール後、Jupyterノートブックのカーネルを再起動すると、%matplotlib widgetでインタラクティブなグラフ操作が可能になります。マウスで3Dグラフを動かせるようになったのはこの効果です。\n", "\n", "1. ターミナルでipymplをインストールします(例: pip install ipympl)。\n", "2. ノートブックでカーネルを再起動します。\n", "3. ノートブックのセルで%matplotlib widgetを実行します。\n", "4. 3Dグラフを描画すると、マウスで動かせるようになります。\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Requirement already satisfied: ipympl in /Users/bob/opt/anaconda3/lib/python3.8/site-packages (0.9.2)\n", "Requirement already satisfied: numpy in /Users/bob/opt/anaconda3/lib/python3.8/site-packages (from ipympl) (1.22.4)\n", "Requirement already satisfied: matplotlib<4,>=3.4.0 in /Users/bob/opt/anaconda3/lib/python3.8/site-packages (from ipympl) (3.5.1)\n", "Requirement already satisfied: ipython-genutils in /Users/bob/opt/anaconda3/lib/python3.8/site-packages (from ipympl) (0.2.0)\n", "Requirement already satisfied: ipywidgets<9,>=7.6.0 in /Users/bob/opt/anaconda3/lib/python3.8/site-packages (from ipympl) (8.0.2)\n", "Requirement already satisfied: pillow in /Users/bob/opt/anaconda3/lib/python3.8/site-packages (from ipympl) (8.4.0)\n", "Requirement already satisfied: ipython<9 in /Users/bob/opt/anaconda3/lib/python3.8/site-packages (from ipympl) (7.19.0)\n", "Requirement already satisfied: traitlets<6 in 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jupyter-client->ipykernel>=4.5.1->ipywidgets<9,>=7.6.0->ipympl) (4.6.3)\n", "Requirement already satisfied: pyzmq>=13 in /Users/bob/opt/anaconda3/lib/python3.8/site-packages (from jupyter-client->ipykernel>=4.5.1->ipywidgets<9,>=7.6.0->ipympl) (19.0.2)\n" ] } ], "source": [ "!pip install ipympl" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "cf4c88a7e431478bb881dab1621b7d2b", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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", 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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib widget\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "def f2(x,y):\n", " return 4*x+2*y-6*x*y\n", "def g2(x,y):\n", " return 10*x-2*y+1\n", "\n", "x = np.arange(-3, 3, 0.25)\n", "y = np.arange(-3, 3, 0.25)\n", "X, Y = np.meshgrid(x, y)\n", "Z1 = f2(X,Y)\n", "Z2 = g2(X,Y)\n", "\n", "fig = plt.figure()\n", "#plot3d = Axes3D(fig)\n", "plot3d = fig.add_subplot(\n", " projection='3d')\n", "plot3d.plot_surface(X,Y,Z1, color='b', alpha=0.5)\n", "plot3d.plot_surface(X,Y,Z2, color='r', alpha=0.5)\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## parametrix plotでaspect比=1\n", "\n", "inlineで表示するとaspect ratio <> 1だね.それを外すとうまく表示してくれる." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "88bad62af0d0466eacb087421357267e", "version_major": 2, "version_minor": 0 }, "image/png": 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\n", " Figure\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sympy import *\n", "import matplotlib.pyplot as plt\n", "\n", "t = symbols('t')\n", "\n", "plt.rcParams['figure.figsize'] = (4,4)\n", "plot_parametric(cos(t), sin(t), (t, 0, 2*pi))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "figsizeを同じ大きさにするといいらしい.aspect_ratioとは違うので注意." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": { "height": "48px", "width": "252px" }, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": true, "toc_position": {}, "toc_section_display": "block", "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }