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https://github.com/opelly27/Y-Cruncher.git
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opelly27
44 lines
1.2 KiB
INI
44 lines
1.2 KiB
INI
// y-cruncher Custom Formula File
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//
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// This can be loaded directly from the Custom Compute menu or
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// entered from the command line as "custom:filename".
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//
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// y-cruncher custom custom:"constant - algorithm"
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//
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//
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// Author: Alexander J. Yee
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// Date: February 26, 2018
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//
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// Value: 0.83462684167407318628142973279904680899399301349034...
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//
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// 1
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// Gauss's Constant = -----------------
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// AGM(1, sqrt(2))
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//
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//
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// The formula used here is derived from Brown's 2009 formula
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// for Gamma(1/4).
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//
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// Source: http://iamned.com/math/infiniteseries.pdf
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//
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{
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NameShort : "Gauss"
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NameLong : "Gauss's Constant"
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AlgorithmShort : "Series"
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AlgorithmLong : "Hypergeometric Series"
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Formula : {
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Multiply : [
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{SeriesHypergeometric : {
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CoefficientP : 1
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CoefficientQ : 147
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CoefficientD : 1
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PolynomialP : [15435 -143136 20224 1241088 -856064 -2752512 2621440]
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PolynomialQ : [0 0 82944 331776 331776]
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PolynomialR : [105 -1408 5504 -8192 4096]
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}}
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{Invsqrt : 31104}
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]
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}
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}
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