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    "# 人工智能与机器学习-实验1\n",
    "\n",
    "## Part.II Numpy练习\n",
    "\n",
    "|学号       |姓名    |\n",
    "|----------|--------|\n",
    "|          |        |"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. 数组\n",
    "\n",
    "创建一个长度为10全为0的一维数组，然后让第5个元素等于1。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. 向量内积\n",
    "\n",
    "随机生成2个长度为$10^6$的向量，分别用numpy函数和for循环计算其内积。并比较耗时情况。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3. 矩阵乘法\n",
    "\n",
    "生成一个$4\\times5$和一个$5\\times4$的矩阵，并计算它们的乘积。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4. 函数\n",
    "\n",
    "函数$f$定义如下，其中$x$是任意实数:\n",
    "$$\n",
    "f(x)=\\frac{\\sin⁡(x+1)(x+1)}{2e^x}\n",
    "$$，\n",
    "\n",
    "生成一个数组$a\\in \\mathbb{R}^5$，计算$b = f(a)$。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5. 平均值\n",
    "\n",
    "随机生成一个5行10列的矩阵，然后每行元素减去该行的平均值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
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   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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