Add files via upload

2026-05-20 02:57:34 +00:00 · 2021-11-11 21:34:46 -08:00
parent fa62f789fc
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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:    February 22, 2019
+//
+//    Value: 5.56631600178023520425009689520772611139879911487285...
+//
+//    Source: http://arblib.org/gamma.html
+//
+
+{
+    NameShort : "Gamma(⅙)"
+    NameLong : "Gamma(1/6)"
+    AlgorithmShort : "AGM-Pi"
+    AlgorithmLong : "AGM-Pi"
+    Formula : {
+        Scope : {
+            Locals : [
+                {pi : {Pi : {Algorithm : "ramanujan"}}}
+            ]
+            Formula : {Multiply : [
+                {InvNthRoot : [
+                    6
+                    {Multiply : [
+                        {Power : [
+                            {AGM : {Invsqrt :
+                                {LinearCombination : [
+                                    [1 8]
+                                    [-1 {Sqrt : 48}]
+                                ]}
+                            }}
+                            4
+                        ]}
+                        "pi"
+                    ]}
+                ]}
+                "pi"
+                {LinearCombination : [[
+                    6
+                    {InvNthRoot : [9 11664]}
+                ]]}
+            ]}
+        }
+    }
+}