{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 可执行文档\n", "\n", "这套文档发布系统的看点就是Jupyter Notebooks,可以包括代码块及其执行后输出结果直接包含在文档当中。\n", "\n", "## 可显示LaTeX公式\n", "\n", "在可执行文档当中当然也可以显示数学公式,使用`$...$`惯例标记行内公式如:$add_{math}$\n", "\n", "以及使用`$$...$$`标记公式块:\n", "\n", "$$\n", "math^{blocks}\n", "$$\n", "\n", "## 代码块及输出\n", "\n", "先画个「希帕索斯十字」吧:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib.transforms as mtf\n", "\n", "theta = np.arange(0, 2 * np.pi, 0.001)\n", "fig = plt.figure(figsize=(16, 8))\n", "\n", "ax1 = plt.subplot(121, projection='polar')\n", "trans_offset = mtf.offset_copy(ax1.transData, fig=fig)\n", "plt.polar(theta, np.cos(4 * theta), linewidth=10)\n", "\n", "ax2 = plt.subplot(122, projection='polar')\n", "trans_offset = mtf.offset_copy(ax2.transData, fig=fig)\n", "plt.polar(theta+np.pi/8, np.sin(4 * theta), linewidth=10)\n", "\n", "ax1.axis('off')\n", "ax2.axis('off')\n", "plt.show()\n", "\n", "# Sagemath Function:\n", "# polar_plot(cos(2*theta), 0, 2*pi)\n", "# polar_plot(sin(2*theta), 0, 2*pi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "如代码所示,这个显示效果是凑出来的,很明显与一些提供「PolarPlot」函数的软件(包括但不限于SageMath、GNU Octave)当中的表现不同,目前尚不知何故。" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.8.10 64-bit", "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": "3.8.10" }, "vscode": { "interpreter": { "hash": "570feb405e2e27c949193ac68f46852414290d515b0ba6e5d90d076ed2284471" } }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }