Add files via upload

2026-05-20 02:57:34 +00:00 · 2021-11-11 21:34:46 -08:00
parent fa62f789fc
commit c5d13ac48a
100 changed files with 5566 additions and 0 deletions
@@ -0,0 +1,45 @@
+//  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:    February 26, 2019
+//
+//    Value: 1.22541670246517764512909830336289052685123924810807...
+//
+//    Source: http://iamned.com/math/infiniteseries.pdf
+//
+//    This file uses Ramanujan's formula for Pi to make it computationally
+//    independent from "Gamma(1d4) - AGM-Pi.cfg".
+//
+
+{
+    NameShort : "Gamma(¾)"
+    NameLong : "Gamma(3/4)"
+    AlgorithmShort : "Series-Pi (Brown)"
+    AlgorithmLong : "Series-Pi (Brown 2009)"
+    Formula : {
+        Invsqrt : {
+            Multiply : [
+                {SeriesHypergeometric : {
+                    CoefficientP : 1
+                    CoefficientQ : 1
+                    CoefficientD : 2
+                    PolynomialP : [9 -24 16]
+                    PolynomialQ : [0 0 -128]
+                    PolynomialR : [9 -24 16]
+                }}
+                {Invsqrt : {
+                    Multiply : [
+                        {Pi : {Algorithm : "ramanujan"}}
+                        {Invsqrt : 32}
+                    ]
+                }}
+            ]
+        }
+    }
+}