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osamutake/Collatz conjecture by julia.ipynb

Created April 5, 2018 05:57
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Collatzの予想（角谷の問題）
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Collatz conjecture by julia.ipynb
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{
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"source": "# Collatzの予想（角谷の問題）\nhttp://www.cas.cmc.osaka-u.ac.jp/~paoon/Lectures/2016-7Semester-AppliedMath7/14_julia/#fnref:measure\nの例を試してみる"
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"source": "f(n) = isodd(n) ? 3n+1 : div(n,2);",
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"source": "function count(n)\n m = n\n c = 0\n while m != 1\n m = f(m)\n c+= 1\n end\n return c\nend;",
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"outputs": []
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"source": "using Plots\ngr();",
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"cell_type": "code",
"source": "plot([count(n) for n in 1:200], st=:scatter, label=\"count\")",
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"source": "function plotcount(n)\n codd=[count(m) for m in 1:2:n]\n ceven=[count(m) for m in 2:2:n]\n plot(1:2:n, codd, st=:scatter, label=\"odd\")\n plot!(2:2:n, ceven, st=:scatter, label=\"even\")\nend; ",
"execution_count": 5,
"outputs": []
},
{
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"source": "plotcount(200)",
"execution_count": 6,
"outputs": [
{
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