\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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