From 8875b420a873a360a9484778b487394add318a5e Mon Sep 17 00:00:00 2001
From: wukong <wukong@longaeva>
Date: Wed, 13 Jun 2018 21:41:39 -0700
Subject: added shebang, replaced if-elses with shortcut notation, ported
 online mean and variance calc to mean.awk

---
 sterling_approx.txt | 10 ++++++++++
 1 file changed, 10 insertions(+)
 create mode 100644 sterling_approx.txt

(limited to 'sterling_approx.txt')

diff --git a/sterling_approx.txt b/sterling_approx.txt
new file mode 100644
index 0000000..5cb3f6e
--- /dev/null
+++ b/sterling_approx.txt
@@ -0,0 +1,10 @@
+
+# https://en.wikipedia.org/wiki/Sterling_Approximation
+# An alternative approximation for the Gamma function stated by Srinivasa
+# Ramanujan (Ramanujan 1988) is
+
+    Gamma(1+x) ~= sqrt(pi)((x/e)^x)(8x^3 + 4x^2 + x + 1/30)^(1/6)
+
+# for x >= 0. The equivalent approximation for ln(n!) has an asymptotic error
+# of 1/(1400*n^3) ...
+
-- 
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