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Custom Formulas/Lemniscate - Gauss.cfg

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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:    September 29, 2018
+//
+//    Value: 5.24411510858423962092967917978223882736550990286324...
+//
+//    Gauss Formula:
+//
+//    Lemniscate = 8 ArcSinlemn(1/2) + 4 ArcSinlemn(7/23)
+//
+//    http://www.numberworld.org/y-cruncher/internals/formulas.html#lemniscate
+//
+
+{
+    NameShort : "Lemniscate"
+    NameLong : "Lemniscate Constant"
+    AlgorithmShort : "Gauss"
+    AlgorithmLong : "Gauss Formula"
+    Formula : {
+        LinearCombination : [
+            [1 {ArcSinlemn : {Coefficient:8 x:1 y:2}}]
+            [1 {ArcSinlemn : {Coefficient:4 x:7 y:23}}]
+        ]
+    }
+}