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va2577/entropy.ipynb

Created February 7, 2019 15:28
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entropy.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# entropy\n",
"\n",
"> ボルツマンの定義では、エントロピーとは同等な状態の「多重度」である。\n",
">\n",
"> <cite>情報と秩序 情報と秩序 第２章 無意味の実体</cite>"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]])"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x = np.tile(np.arange(10), (10, 1))\n",
"x"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
" [2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n",
" [3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n",
" [4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n",
" [5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n",
" [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
" [7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n",
" [8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n",
" [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]])"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y = np.arange(10).repeat(10).reshape(10, 10)\n",
"y"
]
},
{
"cell_type": "code",
"execution_count": 4,
"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": [
"def scatter(x, y):\n",
" fig, ax = plt.subplots()\n",
" ax.scatter(x, y, alpha=0.4)\n",
" ax.set_xlim(left=-0.48, right=9.6)\n",
" ax.set_ylim(bottom=-0.48, top=9.6)\n",
" ax.set_ylabel(f'mean: {y.mean()}')\n",
" return None\n",
"\n",
"scatter(x, y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## エントロピーが最小"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]])"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x2 = np.tile(np.arange(10), (5, 1))\n",
"x2"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
" [2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n",
" [3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n",
" [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]])"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y2 = np.arange(5).repeat(10).reshape(5, 10)\n",
"y2"
]
},
{
"cell_type": "code",
"execution_count": 7,
"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": [
"scatter(x2, y2)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]])"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x3 = np.tile(np.arange(10), (5, 1))\n",
"x3"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n",
" [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
" [7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n",
" [8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n",
" [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y3 = np.arange(5, 10).repeat(10).reshape(5, 10)\n",
"y3"
]
},
{
"cell_type": "code",
"execution_count": 10,
"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": [
"scatter(x3, y3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## エントロピーが最大"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]])"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x4 = np.tile(np.arange(10), (5, 1))\n",
"x4"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n",
" [7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n",
" [5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n",
" [3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n",
" [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]])"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y4 = np.array([\n",
" np.full(10, 9),\n",
" np.full(10, 7),\n",
" np.full(10, 5),\n",
" np.full(10, 3),\n",
" np.full(10, 1),\n",
"])\n",
"y4"
]
},
{
"cell_type": "code",
"execution_count": 13,
"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": [
"scatter(x4, y4) # 最大ではない"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]])"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x5 = np.tile(np.arange(10), (5, 1))\n",
"x5"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n",
" [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
" [4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n",
" [2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n",
" [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]])"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y5 = np.array([\n",
" np.full(10, 8),\n",
" np.full(10, 6),\n",
" np.full(10, 4),\n",
" np.full(10, 2),\n",
" np.full(10, 0),\n",
"])\n",
"y5"
]
},
{
"cell_type": "code",
"execution_count": 16,
"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": [
"scatter(x5, y5) # 最大ではない"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]])"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x6 = np.tile(np.arange(10), (5, 1))\n",
"x6"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[9, 9, 9, 9, 9, 8, 8, 8, 8, 8],\n",
" [7, 7, 7, 7, 7, 6, 6, 6, 6, 6],\n",
" [5, 5, 5, 5, 5, 4, 4, 4, 4, 4],\n",
" [3, 3, 3, 3, 3, 2, 2, 2, 2, 2],\n",
" [1, 1, 1, 1, 1, 0, 0, 0, 0, 0]])"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y6 = np.array([\n",
" np.array([9, 8]).repeat(5),\n",
" np.array([7, 6]).repeat(5),\n",
" np.array([5, 4]).repeat(5),\n",
" np.array([3, 2]).repeat(5),\n",
" np.array([1, 0]).repeat(5),\n",
"])\n",
"y6"
]
},
{
"cell_type": "code",
"execution_count": 19,
"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": [
"scatter(x6, y6)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]])"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x7 = np.tile(np.arange(10), (5, 1))\n",
"x7"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[8, 8, 8, 8, 8, 9, 9, 9, 9, 9],\n",
" [6, 6, 6, 6, 6, 7, 7, 7, 7, 7],\n",
" [4, 4, 4, 4, 4, 5, 5, 5, 5, 5],\n",
" [2, 2, 2, 2, 2, 3, 3, 3, 3, 3],\n",
" [0, 0, 0, 0, 0, 1, 1, 1, 1, 1]])"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y7 = np.array([\n",
" np.array([8, 9]).repeat(5),\n",
" np.array([6, 7]).repeat(5),\n",
" np.array([4, 5]).repeat(5),\n",
" np.array([2, 3]).repeat(5),\n",
" np.array([0, 1]).repeat(5),\n",
"])\n",
"y7"
]
},
{
"cell_type": "code",
"execution_count": 22,
"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": [
"scatter(x7, y7)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]])"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x8 = np.tile(np.arange(10), (5, 1))\n",
"x8"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[8, 9, 8, 9, 8, 9, 8, 9, 8, 9],\n",
" [6, 7, 6, 7, 6, 7, 6, 7, 6, 7],\n",
" [4, 5, 4, 5, 4, 5, 4, 5, 4, 5],\n",
" [2, 3, 2, 3, 2, 3, 2, 3, 2, 3],\n",
" [0, 1, 0, 1, 0, 1, 0, 1, 0, 1]])"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y8 = np.array([\n",
" np.tile(np.array([8, 9]), (5)),\n",
" np.tile(np.array([6, 7]), (5)),\n",
" np.tile(np.array([4, 5]), (5)),\n",
" np.tile(np.array([2, 3]), (5)),\n",
" np.tile(np.array([0, 1]), (5)),\n",
"])\n",
"y8"
]
},
{
"cell_type": "code",
"execution_count": 25,
"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": [
"scatter(x8, y8)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]])"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x9 = np.tile(np.arange(10), (5, 1))\n",
"x9"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[9, 8, 9, 8, 9, 8, 9, 8, 9, 8],\n",
" [7, 6, 7, 6, 7, 6, 7, 6, 7, 6],\n",
" [5, 4, 5, 4, 5, 4, 5, 4, 5, 4],\n",
" [3, 2, 3, 2, 3, 2, 3, 2, 3, 2],\n",
" [1, 0, 1, 0, 1, 0, 1, 0, 1, 0]])"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y9 = np.array([\n",
" np.tile(np.array([9, 8]), (5)),\n",
" np.tile(np.array([7, 6]), (5)),\n",
" np.tile(np.array([5, 4]), (5)),\n",
" np.tile(np.array([3, 2]), (5)),\n",
" np.tile(np.array([1, 0]), (5)),\n",
"])\n",
"y9"
]
},
{
"cell_type": "code",
"execution_count": 28,
"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": [
"scatter(x9, y9)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]])"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x10 = np.tile(np.arange(10), (5, 1))\n",
"x10"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n",
" [8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n",
" [7, 7, 7, 7, 7, 2, 2, 2, 2, 2],\n",
" [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
" [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]])"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y10 = np.array([\n",
" np.array([9]).repeat(10),\n",
" np.array([8]).repeat(10),\n",
" np.array([7, 2]).repeat(5),\n",
" np.array([1]).repeat(10),\n",
" np.array([0]).repeat(10),\n",
"])\n",
"y10"
]
},
{
"cell_type": "code",
"execution_count": 31,
"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": [
"scatter(x10, y10)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]])"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x11 = np.tile(np.arange(10), (5, 1))\n",
"x11"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
" [5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n",
" [2, 2, 2, 2, 2, 7, 7, 7, 7, 7],\n",
" [4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n",
" [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]])"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y11 = np.array([\n",
" np.array([6]).repeat(10),\n",
" np.array([5]).repeat(10),\n",
" np.array([2, 7]).repeat(5),\n",
" np.array([4]).repeat(10),\n",
" np.array([3]).repeat(10),\n",
"])\n",
"y11"
]
},
{
"cell_type": "code",
"execution_count": 34,
"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": [
"scatter(x11, y11)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ランダム"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]])"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x12 = np.tile(np.arange(10), (5, 1))\n",
"x12"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[1, 2, 9, 4, 0, 0, 2, 2, 6, 2],\n",
" [6, 5, 6, 7, 4, 5, 9, 3, 3, 4],\n",
" [3, 3, 2, 2, 1, 9, 7, 0, 0, 8],\n",
" [8, 6, 7, 9, 3, 8, 0, 4, 5, 9],\n",
" [5, 8, 5, 3, 7, 7, 4, 6, 2, 3]])"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y12 = np.array([\n",
" np.random.choice(np.arange(10), 5, replace=False),\n",
" np.random.choice(np.arange(10), 5, replace=False),\n",
" np.random.choice(np.arange(10), 5, replace=False),\n",
" np.random.choice(np.arange(10), 5, replace=False),\n",
" np.random.choice(np.arange(10), 5, replace=False),\n",
" np.random.choice(np.arange(10), 5, replace=False),\n",
" np.random.choice(np.arange(10), 5, replace=False),\n",
" np.random.choice(np.arange(10), 5, replace=False),\n",
" np.random.choice(np.arange(10), 5, replace=False),\n",
" np.random.choice(np.arange(10), 5, replace=False),\n",
"]).T\n",
"y12"
]
},
{
"cell_type": "code",
"execution_count": 37,
"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": [
"scatter(x12, y12)"
]
}
],
"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": "3.6.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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