Add files via upload

2026-05-20 05:17:34 +00:00 · 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: 3.62560990822190831193068515586767200299516768288006...
+//
+//         ( 1 )                1
+//    Gamma(---) = ----------------------------
+//         ( 4 )        (   AGM(1, sqrt(2))  )
+//                  sqrt( ------------------ )
+//                      (  sqrt( (2 Pi)^3 )  )
+//
+//    Source: http://mathworld.wolfram.com/GausssConstant.html
+//
+
+{
+    NameShort : "Gamma(¼)"
+    NameLong : "Gamma(1/4)"
+    AlgorithmShort : "AGM-Pi"
+    AlgorithmLong : "AGM-Pi"
+    Formula : {
+        Invsqrt : {
+            Multiply : [
+                {AGM : {Sqrt : 2}}
+                {Invsqrt : {
+                    Power : [
+                        {Shift : [
+                            {Pi : {}}
+                            1
+                        ]}
+                        3
+                    ]
+                }}
+            ]
+        }
+    }
+}