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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: October 24, 2018
//
// Value: 3.62560990822190831193068515586767200299516768288006...
//
// ( 1 ) 1
// Gamma(---) = ----------------------------
// ( 4 ) ( AGM(1, sqrt(2)) )
// sqrt( ------------------ )
// ( sqrt( (2 Pi)^3 ) )
//
// Source: http://mathworld.wolfram.com/GausssConstant.html
//
{
NameShort : "Gamma(¼)"
NameLong : "Gamma(1/4)"
AlgorithmShort : "AGM-Pi"
AlgorithmLong : "AGM-Pi"
Formula : {
Invsqrt : {
Multiply : [
{AGM : {Sqrt : 2}}
{Invsqrt : {
Power : [
{Shift : [
{Pi : {}}
1
]}
3
]
}}
]
}
}
}