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Last active June 29, 2017 16:17
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Julia/Limit of series - Another example.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Another Example\n",
"\n",
"$x\\nearrow1$ で\n",
"$$\n",
"1-x+x^4-x^9+x^{16}-x^{25}+\\cdots \\to\\;???\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# 後でグラフを描く準備\n",
"\n",
"using PyPlot"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"27301-element Array{Float64,1}:\n",
" 1.0 \n",
" -0.999999 \n",
" 0.999996 \n",
" -0.999991 \n",
" 0.999984 \n",
" -0.999975 \n",
" 0.999964 \n",
" -0.999951 \n",
" 0.999936 \n",
" -0.999919 \n",
" 0.9999 \n",
" -0.999879 \n",
" 0.999856 \n",
" ⋮ \n",
" -4.94066e-324\n",
" 4.94066e-324\n",
" -4.94066e-324\n",
" 4.94066e-324\n",
" -4.94066e-324\n",
" 4.94066e-324\n",
" -4.94066e-324\n",
" 4.94066e-324\n",
" -4.94066e-324\n",
" 0.0 \n",
" -0.0 \n",
" 0.0 "
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x=0.999999\n",
"[(-1)^k*x^(k^2) for k in 0:27300]"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"f (generic function with 1 method)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 級数の計算\n",
"# 最大 n 項の和を取る\n",
"\n",
"series = \"\\$f(x)=1-x+x^4-x^9+x^{16}-x^{25}+\\\\cdots\\$\"\n",
"f(x::Float64, n::Int) = sum([(-1)^k*x^(k^2) for k in 0:n if 0 < abs(x^(k^2)) < 2])"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000027B3F9E8>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.text.Text object at 0x000000002A46C588>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# x=0~1でのグラフ\n",
"\n",
"x = [linspace(0.0,0.999999,1000);]\n",
"plot(x, f.(x, 10^6))\n",
"title(series, fontsize=16)\n",
"xlabel(\"\\$x\\$\", fontsize=12)\n",
"ylabel(\"\\$f(x)\\$\", fontsize=12)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"10-element Array{Float64,1}:\n",
" 0.5\n",
" 0.5\n",
" 0.5\n",
" 0.5\n",
" 0.5\n",
" 0.5\n",
" 0.5\n",
" 0.5\n",
" 0.5\n",
" 0.5"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# x->1 で f(x)->0.5 と収束している?\n",
"\n",
"f.([0.9990:0.0001:0.9999;], 10^6)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002A351240>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.text.Text object at 0x000000002EAA68D0>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 1e-13+5e-1 = ×10^{-13} + 0.5\n",
"\n",
"x = [linspace(0.999,0.999999,1000);]\n",
"plot(x, f.(x, 10^6))\n",
"#title(series, fontsize=16)\n",
"xlabel(\"\\$x\\$\", fontsize=12)\n",
"ylabel(\"\\$f(x)\\$\", fontsize=12)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002E9C6438>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.text.Text object at 0x000000002EA12CF8>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 横軸を対数スケールに\n",
"\n",
"t = [linspace(3,10,100);]\n",
"x = 1 .- 10.^(-t)\n",
"plot(t, f.(x, 10^6))\n",
"title(\"log scale plot\", fontsize=16)\n",
"xlabel(\"\\$t=-\\\\log_{10}(1-x)\\$\", fontsize=12)\n",
"ylabel(\"\\$f(x)=f(1-10^{-t})\\$\", fontsize=12)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002EA0C940>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.text.Text object at 0x000000002EAAF780>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# さすがにこれは無茶\n",
"\n",
"t = [linspace(3,12,100);]\n",
"x = 1 .- 10.^(-t)\n",
"plot(t, f.(x, 10^6))\n",
"title(\"log scale plot\", fontsize=16)\n",
"xlabel(\"\\$t=-\\\\log_{10}(1-x)\\$\", fontsize=12)\n",
"ylabel(\"\\$f(x)=f(1-10^{-t})\\$\", fontsize=12)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"_draft": {
"nbviewer_url": "https://gist.github.com/f534862d95fd0a37a0562398150fe3cb"
},
"gist": {
"data": {
"description": "Julia/Limit of series - Another example.ipynb",
"public": true
},
"id": "f534862d95fd0a37a0562398150fe3cb"
},
"kernelspec": {
"display_name": "Julia 0.6.0",
"language": "julia",
"name": "julia-0.6"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "0.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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