diff --git a/1_numpy_matplotlib_scipy_sympy/2.1-matplot_deeper_tutorial.ipynb b/1_numpy_matplotlib_scipy_sympy/2.1-matplot_deeper_tutorial.ipynb
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@@ -0,0 +1,576 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "id": "c1f2460a",
+ "metadata": {},
+ "source": [
+ "# 一些关于Matplotlib的更深入介绍 \n",
+ "\n",
+ "[参考原文章](https://liam.page/2014/09/11/matplotlib-tutorial-zh-cn/) \n",
+ "[Matplot Wiki](https://matplotlib.org/) \n",
+ "\n",
+ "2023.9 \n",
+ "袁畅 \n",
+ "\n",
+ "这篇介绍来自作者于2023秋季学期选修布树辉老师开的机器学习课上的随堂介绍,感谢老师给我这个机会将本文整理后上传。 \n",
+ "希望可以帮到后来的学习者。 "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "422370a5",
+ "metadata": {},
+ "source": [
+ "Matplotlib可能是Python 2D-绘图领域使用最广泛的包。它能让使用者很轻松的将数据图形化,并且提供多样化的输出格式,这里将会探索Matplotlib的常见用法 \n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "32ab1d52",
+ "metadata": {},
+ "source": [
+ "复制本单元格命令到终端并运行以安装教程内所需的软件包 \n",
+ "\n",
+ "/\n",
+ "#matplotlib和jupyter安装 \n",
+ "python -m pip install matplotlib \n",
+ "python pip install -i https://pypi.douban.com/simple/ jupyter\n",
+ "pip config set global.index-url https://mirrors.aliyun.com/pypi/simple/ \n",
+ "pip config set install.trusted-host mirrors.aliyun.com \n",
+ "/
"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "8b57c18f",
+ "metadata": {},
+ "source": [
+ "### 初级绘制 \n",
+ "这一节中,首先导入我们需要的包,从简到繁:先尝试用默认配置在同一张图上绘制正弦和余弦函数的图像,然后逐步美化它。(代码基于Jupyter Notebook) \n",
+ "第一步,导入包,取得正弦函数和余弦函数的值 \n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "b05e5113",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import pandas as pd\n",
+ "import matplotlib.pyplot as plt"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "f97adc4e",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "X = np.linspace(-np.pi,np.pi,256,endpoint=True)\n",
+ "C,S =np.cos(X),np.sin(X) "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "8e319ae6",
+ "metadata": {},
+ "source": [
+ "#### 使用默认配置 \n",
+ "X 是一个 numpy 数组,包含了从 −π 到 +π 等间隔的 256 个值。C 和 S 则分别是这 256 个值对应的余弦和正弦函数值组成的 numpy 数组。 \n",
+ "下面一张图显示了部分Matplot支持的绘图形式 \n",
+ "\n",
+ "
"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "935ea00f",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(X,C)\n",
+ "plt.stackplot(X,S)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "eccd024b",
+ "metadata": {},
+ "source": [
+ "#### 默认配置的具体内容 \n",
+ "Matplotlib 的默认配置都允许用户自定义。你可以调整大多数的默认配置:图片大小和分辨率(dpi)、线宽、颜色、风格、坐标轴、坐标轴以及网格的属性、文字与字体属性等。不过,Matplotlib 的默认配置在大多数情况下已经做得足够好,你可能只在很少的情况下才会想更改这些默认配置。下面的代码中,我们展现了 Matplotlib 的默认配置并辅以注释说明,这部分配置包含了有关绘图样式的所有配置。"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "db5cf3c7",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# 创建一个 8 * 6 点(point)的图,并设置分辨率为 80\n",
+ "plt.figure(figsize=(8,6), dpi=80)\n",
+ "\n",
+ "# 创建一个新的 1 * 1 的子图,接下来的图样绘制在其中的第 1 块(也是唯一的一块)\n",
+ "plt.subplot(1,1,1)\n",
+ "\n",
+ "#从 *−π* 到 *+π* 等间隔的 256 个值,且包含端点值。\n",
+ "X = np.linspace(-np.pi, np.pi, 256,endpoint=True)\n",
+ "C,S = np.cos(X), np.sin(X)\n",
+ "\n",
+ "# 绘制余弦曲线,使用蓝色的、连续的、宽度为 1.5 (像素)的线条\n",
+ "plt.plot(X, C, color=\"blue\", linewidth=1.5, linestyle=\"-\")\n",
+ "\n",
+ "# 绘制正弦曲线,使用红色的、连续的、宽度为 1.5 (像素)的线条\n",
+ "plt.plot(X, S, color=\"red\", linewidth=1.5, linestyle=\"-\")\n",
+ "\n",
+ "# 设置横轴的上下限\n",
+ "plt.xlim(-3.3,3.3)\n",
+ "\n",
+ "# 设置横轴记号\n",
+ "plt.xticks(np.linspace(-3,3,7,endpoint=True))\n",
+ "\n",
+ "# 设置纵轴的上下限\n",
+ "plt.ylim(-1.1,1.1)\n",
+ "\n",
+ "# 设置纵轴记号\n",
+ "plt.yticks(np.linspace(-1,1,9,endpoint=True))\n",
+ "\n",
+ "# 将图片保存为png格式,分辨率 100 ,如果是空白图片,你可以查阅相关知识\n",
+ "plt.savefig('exercice_2.png',dpi=100)\n",
+ "\n",
+ "# 在屏幕上显示\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "45fb358a",
+ "metadata": {},
+ "source": [
+ "#### 改变线条的颜色和粗细 \n",
+ "首先,我们以蓝色和红色分别表示余弦和正弦函数,而后将线条变粗一点。接下来,我们在水平方向拉伸一下整个图。"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "e842fffe",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
+ "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5543d0e8",
+ "metadata": {},
+ "source": [
+ "#### 设置图片边界 \n",
+ "当前的图片边界设置得不好,所以有些地方看得不是很清楚。"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "40819e43",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
+ "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n",
+ "#上述代码是为了显示图线\n",
+ "xmin ,xmax = X.min(), X.max()\n",
+ "ymin, ymax = C.min(), C.max()\n",
+ "dx = (xmax - xmin) * 0.2\n",
+ "dy = (ymax - ymin) * 0.2\n",
+ "plt.xlim((xmin - dx, xmax + dx))\n",
+ "plt.ylim((ymin - dy, ymax + dy))\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "2b2b8da1",
+ "metadata": {},
+ "source": [
+ "#### 设置记号和标签 \n",
+ "我们讨论正弦和余弦函数的时候,通常希望知道函数在 ±π 和 ±π/2 的值。当我们设置记号的时候,我们可以同时设置记号的标签。注意这里使用了LaTeX。"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "3eb53cdf",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
+ "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n",
+ "#上述代码是为了显示图线\n",
+ "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
+ " [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
+ "\n",
+ "plt.yticks([-1, 0, +1],\n",
+ " [r'$-1$', r'$0$', r'$+1$'])\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "3ece4ddb",
+ "metadata": {},
+ "source": [
+ "#### 移动脊柱 \n",
+ "坐标轴线和上面的记号连在一起就形成了脊柱,它记录了数据区域的范围。它们可以放在任意位置,不过至今为止,我们都把它放在图的四边。\n",
+ "实际上每幅图有四条脊柱(上下左右),为了将脊柱放在图的中间,我们必须将其中的两条(上和右)设置为无色,然后调整剩下的两条到合适的位置——数据空间的 0 点。"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "0d4fec9d",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
+ "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n",
+ "#上述代码是为了显示图线\n",
+ "ax = plt.gca()\n",
+ "ax.spines['right'].set_color('none')\n",
+ "ax.spines['top'].set_color('none')\n",
+ "ax.xaxis.set_ticks_position('bottom')\n",
+ "ax.spines['bottom'].set_position(('data',0))\n",
+ "ax.yaxis.set_ticks_position('left')\n",
+ "ax.spines['left'].set_position(('data',0))\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d1131b29",
+ "metadata": {},
+ "source": [
+ "#### 添加图例 \n",
+ "我们在图的左上角添加一个图例。为此,我们只需要在 plot 函数里以「键 - 值」的形式增加一个参数。"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "15437631",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\", label=\"cosine\")\n",
+ "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\", label=\"sine\")\n",
+ "plt.legend(loc='best')\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5e89717e",
+ "metadata": {},
+ "source": [
+ "### 另一种画图的方法\n",
+ "使用ploy()或subplot()的返回值,这样利用句柄/指针操作绘图的方法可以使代码更高效和易懂"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "id": "db071b0a",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# make data\n",
+ "np.random.seed(1)\n",
+ "x = np.linspace(0, 8, 16)\n",
+ "y1 = 3 + 4*x/8 + np.random.uniform(0.0, 0.5, len(x))\n",
+ "y2 = 1 + 2*x/8 + np.random.uniform(0.0, 0.5, len(x))\n",
+ "\n",
+ "# plot\n",
+ "fig, ax = plt.subplots() #返回一个图画的对象,第一个返回对象是图、第二个是轴\n",
+ "\n",
+ "ax.fill_between(x, y1, y2, alpha=.5, linewidth=0) #涂满两个值之间的图\n",
+ "ax.plot(x, (y1 + y2)/2, linewidth=2) #画出中心线\n",
+ "\n",
+ "ax.set(xlim=(0, 8), xticks=np.arange(1, 8),\n",
+ " ylim=(0, 8), yticks=np.arange(1, 8))\n",
+ "\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "670a8d7d",
+ "metadata": {},
+ "source": [
+ "### 图像、子图、坐标轴和记号\n",
+ "\n",
+ "到目前为止,我们都用隐式的方法来绘制图像和坐标轴。快速绘图中,这是很方便的。我们也可以显式地控制图像、子图、坐标轴。Matplotlib 中的「图像」指的是用户界面看到的整个窗口内容。在图像里面有所谓「子图」。子图的位置是由坐标网格确定的,而「坐标轴」却不受此限制,可以放在图像的任意位置。我们已经隐式地使用过图像和子图:当我们调用 plot 函数的时候,matplotlib 调用 gca() 函数以及 gcf() 函数来获取当前的坐标轴和图像;如果无法获取图像,则会调用 figure() 函数来创建一个——严格地说,是用 subplot(1,1,1) 创建一个只有一个子图的图像。\n",
+ "\n",
+ "### 图像\n",
+ "\n",
+ "所谓「图像」就是 GUI 里以「Figure #」为标题的那些窗口。图像编号从 1 开始,与 MATLAB 的风格一致,而于 Python 从 0 开始编号的风格不同。以下参数是图像的属性:\n",
+ ""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5c6ecb6b",
+ "metadata": {},
+ "source": [
+ "这些默认值可以在源文件中指明。不过除了图像数量这个参数,其余的参数都很少修改。 \n",
+ "Matplotlib 也提供了名为 close 的函数来关闭这个窗口。close 函数的具体行为取决于你提供的参数: \n",
+ "\n",
+ "1.不传递参数:关闭当前窗口; \n",
+ "2.传递窗口编号或窗口实例(instance)作为参数:关闭指定的窗口; \n",
+ "3.all:关闭所有窗口。 "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "afcf33ed",
+ "metadata": {},
+ "source": [
+ "### 子图\n",
+ "你可以用子图来将图样(plot)放在均匀的坐标网格中。用 subplot 函数的时候,你需要指明网格的行列数量,以及你希望将图样放在哪一个网格区域中。 \n",
+ "此外,gridspec 的功能更强大,你也可以选择它来实现这个功能。"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "79a58384",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.subplot(2,2,1)\n",
+ "plt.xticks([]), plt.yticks([])\n",
+ "plt.text(0.5,0.5, 'subplot(2,2,1)',ha='center',va='center',size=20,alpha=.5)\n",
+ "\n",
+ "plt.subplot(2,2,2)\n",
+ "plt.xticks([]), plt.yticks([])\n",
+ "plt.text(0.5,0.5, 'subplot(2,2,2)',ha='center',va='center',size=20,alpha=.5)\n",
+ "\n",
+ "plt.subplot(2,2,3)\n",
+ "plt.xticks([]), plt.yticks([])\n",
+ "plt.text(0.5,0.5, 'subplot(2,2,3)',ha='center',va='center',size=20,alpha=.5)\n",
+ "\n",
+ "plt.subplot(2,2,4)\n",
+ "plt.xticks([]), plt.yticks([])\n",
+ "plt.text(0.5,0.5, 'subplot(2,2,4)',ha='center',va='center',size=20,alpha=.5)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5aecc6e3",
+ "metadata": {},
+ "source": [
+ "### 坐标轴\n",
+ "坐标轴和子图功能类似,不过它可以放在图像的任意位置。因此,如果你希望在一副图中绘制一个小图,就可以用这个功能。"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "e2a9d17e",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.axes([0.1,0.1,.8,.8])\n",
+ "plt.xticks([]), plt.yticks([])\n",
+ "plt.text(0.6,0.6, 'axes([0.1,0.1,.8,.8])',ha='center',va='center',size=20,alpha=.5) ##这里的0.1是原点位置,0.8为宽度\n",
+ "\n",
+ "plt.axes([0.2,0.2,.3,.3])\n",
+ "plt.xticks([]), plt.yticks([])\n",
+ "plt.text(0.5,0.5, 'axes([0.2,0.2,.3,.3])',ha='center',va='center',size=16,alpha=.5)\n",
+ "\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "id": "e11c5ce7",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.axes([0.1,0.1,.5,.5])\n",
+ "plt.xticks([]), plt.yticks([])\n",
+ "plt.text(0.1,0.1, 'axes([0.1,0.1,.8,.8])',ha='left',va='center',size=16,alpha=.5)\n",
+ "\n",
+ "plt.axes([0.2,0.2,.5,.5])\n",
+ "plt.xticks([]), plt.yticks([])\n",
+ "plt.text(0.1,0.1, 'axes([0.2,0.2,.5,.5])',ha='left',va='center',size=16,alpha=.5)\n",
+ "\n",
+ "plt.axes([0.3,0.3,.5,.5])\n",
+ "plt.xticks([]), plt.yticks([])\n",
+ "plt.text(0.1,0.1, 'axes([0.3,0.3,.5,.5])',ha='left',va='center',size=16,alpha=.5)\n",
+ "\n",
+ "plt.axes([0.4,0.4,.5,.5])\n",
+ "plt.xticks([]), plt.yticks([])\n",
+ "plt.text(0.1,0.1, 'axes([0.4,0.4,.5,.5])',ha='left',va='center',size=16,alpha=.5)\n",
+ "\n",
+ "plt.show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "interpreter": {
+ "hash": "02f0edf5e2e88c01e55b287ecacc024f3019daaddcc98f5a3e8f5f40e68bbc48"
+ },
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "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": "3.8.6"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/1_numpy_matplotlib_scipy_sympy/exercice_2.png b/1_numpy_matplotlib_scipy_sympy/exercice_2.png
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diff --git a/1_numpy_matplotlib_scipy_sympy/plottype.png b/1_numpy_matplotlib_scipy_sympy/plottype.png
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diff --git a/1_numpy_matplotlib_scipy_sympy/shuxing.png b/1_numpy_matplotlib_scipy_sympy/shuxing.png
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