// y-cruncher Custom Formula File // // This can be loaded directly from the Custom Compute menu or // entered from the command line as "custom:filename.cfg". // y-cruncher custom custom:"filename.cfg" // // // Author: Alexander J. Yee // Date: October 5, 2018 // // Value: 0.69314718055994530941723212145817656807550013436025... // // Formula: Unknown BBP Formula // // 1 inf ( 1 ( 8 4 1 )) // Log(2) = --- SUM (-------- (------ - ------ - ------)) // 8 k=0 ( (-8)^k ( 3k+1 3k+2 3k+3 )) // // http://mathworld.wolfram.com/NaturalLogarithmof2.html // { NameShort : "Log(2)" NameLong : "Log(2)" AlgorithmShort : "BBP (3 terms)" AlgorithmLong : "Unknown BBP Formula (3 terms)" Formula : { LinearCombination : [ [-1 {SeriesBinaryBBP : { CoefficientP : 1 CoefficientQ : 0 CoefficientD : 1 Alternating : "true" PowerCoef : -3 PowerShift : 3 PolynomialP : [1] PolynomialQ : [-2 3] }}] [1 {SeriesBinaryBBP : { CoefficientP : 1 CoefficientQ : 0 CoefficientD : 1 Alternating : "true" PowerCoef : -3 PowerShift : 2 PolynomialP : [1] PolynomialQ : [-1 3] }}] [1 {SeriesBinaryBBP : { CoefficientP : 1 CoefficientQ : 0 CoefficientD : 1 Alternating : "true" PowerCoef : -3 PowerShift : 0 PolynomialP : [1] PolynomialQ : [0 3] }}] ] } }