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@Miura-KR
Created January 4, 2020 11:32
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 剰余関数 a%b のプロット\n",
"\n",
"整数 a, b.0≦a ,1≦b とする.\n",
"\n",
"a = $\\lfloor$a/b$\\rfloor$b + a%b より, a%b = a - $\\lfloor$a/b$\\rfloor$b\n",
"\n",
"## 法 b を固定する場合.aに関する関数.周期 b の周期関数となる."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'a%10')"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"a = np.arange(0, 40)\n",
"b = 10\n",
"plt.plot(a, a%b, linewidth=0, marker='.')\n",
"plt.xlabel('a')\n",
"plt.ylabel('a%' + str(b))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## a を固定する場合.b に関する関数.\n",
"\n",
"b > a において$\\lfloor$a/b$\\rfloor$=0より,a%b = a ."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, '10%b')"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"a = 10\n",
"b = np.arange(1, 20)\n",
"plt.plot(b, a%b, linewidth=1, marker='.', label='a=' + str(a))\n",
"plt.xlabel('b')\n",
"plt.xticks(range(0, 20))\n",
"plt.ylabel(str(a) + '%b')"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x28bd8b0cd88>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"b = np.arange(1, 15)\n",
"for i in range(11):\n",
" plt.plot(b, i%b, linewidth=1, marker='.', label='a=' + str(i))\n",
"plt.xlabel('b')\n",
"plt.ylabel('a%b')\n",
"plt.xticks(range(0, 15))\n",
"plt.legend(bbox_to_anchor=(1, 1), loc=\"upper left\")"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, '100%b')"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"a = 100\n",
"b = np.arange(1, 120)\n",
"plt.plot(b, a%b, linewidth=1, marker='.', label='a=' + str(a))\n",
"plt.xlabel('b')\n",
"plt.ylabel(str(a) + '%b')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"上の図(a=100)の拡大と a = 10 の比較"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x28bd8e15b88>"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"b = np.arange(1, 20)\n",
"plt.plot(b, 10%b, linewidth=1, marker='.', label='a=' + str(10))\n",
"plt.plot(b, 100%b, linewidth=1, marker='.', label='a=' + str(100))\n",
"plt.xlabel('b')\n",
"plt.ylabel('a%b')\n",
"plt.xticks(range(0, 20))\n",
"plt.xlim([0, 20])\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3Dプロット"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"from mpl_toolkits.mplot3d import Axes3D\n",
"from matplotlib import rc"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"lim = 30\n",
"a = np.arange(0, lim)\n",
"b = np.arange(1, lim)\n",
"fig = plt.figure()\n",
"ax = fig.gca(projection='3d')\n",
"a, b = np.meshgrid(a, b)\n",
"\n",
"ax.plot_wireframe(a, b, a%b, cstride=0)#rstrideも変更できる\n",
"\n",
"plt.tight_layout(pad=0)\n",
"ax.set_xticks(range(0, lim))\n",
"ax.set_yticks(range(0, lim))\n",
"ax.set_xlabel('a')\n",
"ax.set_ylabel('b')\n",
"ax.set_zlabel('a%b')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.5"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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