// 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}}] ] } }