Add files via upload

2026-05-20 05:17:34 +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:    October 24, 2018
+//
+//    Value: 1.22541670246517764512909830336289052685123924810807...
+//
+//         ( 3 )       (                       ( Pi ))
+//    Gamma(---) = sqrt( AGM(1, sqrt(2)) * sqrt(----))
+//         ( 4 )       (                       ( 2  ))
+//
+//    Source: http://arblib.org/gamma.html
+//
+
+{
+    NameShort : "Gamma(¾)"
+    NameLong : "Gamma(3/4)"
+    AlgorithmShort : "AGM-Pi"
+    AlgorithmLong : "AGM-Pi"
+    Formula : {
+        Sqrt : {
+            Multiply : [
+                {AGM : {Sqrt : 2}}
+                {Sqrt : {
+                    Shift : [
+                        {Pi : {}}
+                        -1
+                    ]
+                }}
+            ]
+        }
+    }
+}