Files
Y-Cruncher/Custom Formulas/Lemniscate - Gauss.cfg
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2021-11-11 21:34:46 -08:00

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// y-cruncher Custom Formula File
//
// This can be loaded directly from the Custom Compute menu or
// entered from the command line as "custom:filename".
//
// y-cruncher custom custom:"constant - algorithm"
//
//
// Author: Alexander J. Yee
// Date: September 29, 2018
//
// Value: 5.24411510858423962092967917978223882736550990286324...
//
// Gauss Formula:
//
// Lemniscate = 8 ArcSinlemn(1/2) + 4 ArcSinlemn(7/23)
//
// http://www.numberworld.org/y-cruncher/internals/formulas.html#lemniscate
//
{
NameShort : "Lemniscate"
NameLong : "Lemniscate Constant"
AlgorithmShort : "Gauss"
AlgorithmLong : "Gauss Formula"
Formula : {
LinearCombination : [
[1 {ArcSinlemn : {Coefficient:8 x:1 y:2}}]
[1 {ArcSinlemn : {Coefficient:4 x:7 y:23}}]
]
}
}