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Y-Cruncher/Custom Formulas/Gamma(3d4) - Lemniscate.cfg
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: 1.22541670246517764512909830336289052685123924810807...
//
// ( 3 ) 1
// Gamma(---) = ----------------------
// ( 4 ) ( Lemniscate )
// sqrt(--------------)
// ( sqrt(2 Pi^3) )
//
{
NameShort : "Gamma(¾)"
NameLong : "Gamma(3/4)"
AlgorithmShort : "Lemniscate"
AlgorithmLong : "Lemniscate Formula"
Formula : {
Invsqrt : {
Multiply : [
{Lemniscate : {Algorithm : "gauss"}}
{Invsqrt : {
Shift : [
{Power : [
{Pi : {}}
3
]}
1
]
}}
]
}
}
}