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@genkuroki
Last active July 8, 2017 07:46
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Julia/Limit of series in Hardy 1907.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# G.H.Hardy (1907) が扱った級数の極限"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$x\\nearrow1$ で\n",
"$$\n",
"x-x^2+x^4-x^8+x^{16}-x^{32}+\\cdots \\to ????\n",
"$$\n",
"\n",
"https://www.uam.es/personal_pdi/ciencias/dragan/respub/Duren_Tauberian_Talk_2013-10_UAM.pdf\n",
"p.14\n",
"\n",
"https://genkuroki.github.io/documents/20160501StirlingFormula.pdf\n",
"Section 10.4"
]
},
{
"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": [
"71-element Array{Float64,1}:\n",
" 1.0 \n",
" -1.0 \n",
" 1.0 \n",
" -0.999999\n",
" 0.999998\n",
" -0.999997\n",
" 0.999994\n",
" -0.999987\n",
" 0.999974\n",
" -0.999949\n",
" 0.999898\n",
" -0.999795\n",
" 0.99959 \n",
" ⋮ \n",
" -0.0 \n",
" 0.0 \n",
" -0.0 \n",
" 0.0 \n",
" -Inf \n",
" 1.0 \n",
" -1.0 \n",
" 1.0 \n",
" -1.0 \n",
" 1.0 \n",
" -1.0 \n",
" 1.0 "
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 級数を準備\n",
"# 以下の素朴な方法は失敗する\n",
"\n",
"x = 0.9999999\n",
"[(-1)^k*x^(2^k) for k in 0:70]"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"33-element Array{Float64,1}:\n",
" 1.0 \n",
" -1.0 \n",
" 1.0 \n",
" -0.999999 \n",
" 0.999998 \n",
" -0.999997 \n",
" 0.999994 \n",
" -0.999987 \n",
" 0.999974 \n",
" -0.999949 \n",
" 0.999898 \n",
" -0.999795 \n",
" 0.99959 \n",
" ⋮ \n",
" -0.810815 \n",
" 0.657421 \n",
" -0.432203 \n",
" 0.186799 \n",
" -0.0348939 \n",
" 0.00121758 \n",
" -1.48251e-6 \n",
" 2.19784e-12 \n",
" -4.83049e-24 \n",
" 2.33337e-47 \n",
" -5.44459e-94 \n",
" 2.96436e-187"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 意味のある項だけを残す\n",
"\n",
"x = 0.9999999\n",
"[(-1)^k*x^(2^k) for k in 0:70 if 0 < abs(x^(2^k)) < 1]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"f (generic function with 1 method)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 級数の計算\n",
"# 最大 n 項の和を取る\n",
"\n",
"f(x::Float64, n::Int) = sum([(-1)^k*x^(2^k) for k in 0:n if 0 < abs(x^(2^k)) < 1])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000028AEF9E8>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.text.Text object at 0x000000002C409588>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# x=0~1でのグラフ\n",
"\n",
"x = [linspace(0.0,0.9999999999999999,1000);]\n",
"plot(x, f.(x, 100))\n",
"title(\"\\$f(x)=x-x^2+x^4-x^8+x^{16}-x^{32}+\\\\cdots\\$\", fontsize=16)\n",
"xlabel(\"\\$x\\$\", fontsize=12)\n",
"ylabel(\"\\$f(x)\\$\", fontsize=12)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"10-element Array{Float64,1}:\n",
" 0.502025\n",
" 0.502636\n",
" 0.50261 \n",
" 0.501703\n",
" 0.499925\n",
" 0.497925\n",
" 0.49735 \n",
" 0.500045\n",
" 0.50263 \n",
" 0.49736 "
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# x->1 で f(x)->0.5 と収束している?\n",
"\n",
"(x->f(x,100)).([0.99990:0.00001:0.99999;])"
]
},
{
"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 0x000000002B481BA8>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.text.Text object at 0x000000002EAA41D0>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# x=1 の近くの様子をプロットすると無限に振動しているっぽい\n",
"\n",
"x = [linspace(0.999,0.9999999999999999,1000);]\n",
"plot(x, f.(x, 100))\n",
"title(\"\\$f(x)=x-x^2+x^4-x^8+x^{16}-x^{32}+\\\\cdots\\$\", fontsize=16)\n",
"xlabel(\"\\$x\\$\", fontsize=12)\n",
"ylabel(\"\\$f(x)\\$\", fontsize=12)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002EC369B0>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" 0.066351 seconds (14.86 k allocations: 1.481 MiB)\n"
]
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.text.Text object at 0x000000002B493978>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 横軸を適切に対数スケールにしてみる\n",
"# 横軸を対数スケールすると周期的になっているように見える\n",
"\n",
"t = [linspace(3,14,1000);]\n",
"x = 1 .- 10.^(-t)\n",
"@time plot(t, f.(x, 100))\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": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002EBE35C0>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.text.Text object at 0x0000000027DB3128>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# sinカーブとぴったり重なっている\n",
"\n",
"t = [linspace(3,14,1000);]\n",
"x = 1 - 10.^(-t)\n",
"plot(t, f.(x, 100), linewidth=2.0, label=\"\\$f(x)=x-x^2+x^4-x^8+x^{16}-x^{32}+\\\\cdots\\$\")\n",
"plot(t,0.5+0.0027*sin.(2*pi*18.3/11*(t+0.28)), linestyle=\"dashed\", linewidth=1.0, label=\"\\$0.5+a\\\\,\\\\sin(b(t+c))\\$\")\n",
"ylim(0.4955,0.5035)\n",
"legend()\n",
"title(\"log scale plot\", fontsize=16)\n",
"xlabel(\"\\$t=-\\\\log_{10}(1-x)\\$\", fontsize=12)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"_draft": {
"nbviewer_url": "https://gist.github.com/c3936e10d9abbba61fbe6c59b431a3c0"
},
"gist": {
"data": {
"description": "Julia/Limit of series in Hardy 1907.ipynb",
"public": true
},
"id": "c3936e10d9abbba61fbe6c59b431a3c0"
},
"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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