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{
"cells": [
{
"cell_type": "markdown",
"id": "82037ebd",
"metadata": {},
"source": []
},
{
"cell_type": "markdown",
"id": "ad235393",
"metadata": {},
"source": [
"# Subplots"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "4f0d058b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 600x900 with 6 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# 3×2 grid of axes\n",
"fig, axes = plt.subplots(3, 2, figsize=(6, 9))\n",
"fig.suptitle(\"Funky functions\", fontsize=14)\n",
"\n",
"# ---------- Row 1 -----------------------------------------------------\n",
"# 1) sine -------------------------------------------------------------\n",
"x = np.linspace(0, 2 * np.pi, 400)\n",
"y = np.sin(x)\n",
"ax = axes[0, 0]\n",
"ax.plot(x, y)\n",
"ax.set_title(r\"$f(x)=\\sin(x)$\", fontsize=12, style=\"italic\")\n",
"ax.set_xticks([0, np.pi / 2, np.pi, 3 * np.pi / 2, 2 * np.pi])\n",
"ax.set_xticklabels([\"0\", r\"$\\pi/2$\", r\"$\\pi$\", r\"$3\\pi/2$\", r\"$2\\pi$\"])\n",
"ax.set_yticks([-1.0, -0.5, 0, 0.5, 1.0])\n",
"ax.set_ylim(-1.1, 1.1)\n",
"\n",
"# 2) cosine -----------------------------------------------------------\n",
"y = np.cos(x)\n",
"ax = axes[0, 1]\n",
"ax.plot(x, y)\n",
"ax.set_title(r\"$f(x)=\\cos(x)$\", fontsize=12, style=\"italic\")\n",
"ax.set_xticks([0, np.pi / 2, np.pi, 3 * np.pi / 2, 2 * np.pi])\n",
"ax.set_xticklabels([\"0\", r\"$\\pi/2$\", r\"$\\pi$\", r\"$3\\pi/2$\", r\"$2\\pi$\"])\n",
"ax.set_yticks([-1.0, -0.5, 0, 0.5, 1.0])\n",
"ax.set_ylim(-1.1, 1.1)\n",
"\n",
"# ---------- Row 2 -----------------------------------------------------\n",
"# 3) exponential ------------------------------------------------------\n",
"x = np.linspace(0, 4, 400)\n",
"ax = axes[1, 0]\n",
"ax.plot(x, np.exp(x))\n",
"ax.set_title(r\"$f(x)=e^{x}$\", fontsize=12, style=\"italic\")\n",
"ax.set_yticks([0, 10, 20, 30, 40, 50])\n",
"\n",
"# 4) logarithm --------------------------------------------------------\n",
"x = np.linspace(0.001, 10.0, 1000)\n",
"ax = axes[1, 1]\n",
"ax.plot(x, np.log(x))\n",
"ax.set_title(r\"$f(x)=\\log(x)$\", fontsize=12, style=\"italic\")\n",
"ax.set_yticks([-6, -6, -4, -2, 0, 2])\n",
"ax.set_xticks([0.0, 2.5, 5.0, 7.5, 10.0])\n",
"ax.set_ylim(-7.5, 3)\n",
"ax.set_xlim(-0.5, 10.5)\n",
"\n",
"# ---------- Row 3 -----------------------------------------------------\n",
"# 5) normal pdf -------------------------------------------------------\n",
"x = np.linspace(-5, 5, 400)\n",
"norm_pdf = 1 / np.sqrt(2 * np.pi) * np.exp(-(x**2) / 2)\n",
"ax = axes[2, 0]\n",
"ax.plot(x, norm_pdf)\n",
"ax.set_title(r\"$f(x)=\\frac{1}{\\sqrt{2\\pi}}\\,e^{-x^{2}/2}$\", fontsize=12, style=\"italic\")\n",
"ax.set_yticks([0, 0.1, 0.2, 0.3, 0.4])\n",
"\n",
"# 6) sigmoid ----------------------------------------------------------\n",
"x = np.linspace(-10, 10, 400)\n",
"sigmoid = 1 / (1 + np.exp(-x))\n",
"ax = axes[2, 1]\n",
"ax.plot(x, sigmoid)\n",
"ax.set_title(r\"$f(x)=\\frac{1}{1+e^{-x}}$\", fontsize=12, style=\"italic\")\n",
"ax.set_yticks([0.0, 0.2, 0.4, 0.6, 0.8, 1.0])\n",
"\n",
"# ---------------------------------------------------------------------\n",
"fig.tight_layout(rect=(0, 0.03, 1, 0.95))\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "1c76634e",
"metadata": {},
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "code (3.13.2)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
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