Revision as of 02:57, 21 November 2009 view source 164.67.199.150 (talk) →‎{{header\|Haskell}} ← Older edit		Revision as of 09:33, 25 November 2009 view source Tikkanz (talk \| contribs) 892 edits m →‎{{header\|J}}: fix links and tags Newer edit →
Line 579: This code shows the built-in method, which works for any value (positive, negative and complex numbers). <lang Jj>gamma=: !@<:</lang> ~~gamma=. !@<:~~ ~~</lang>~~ The following direct coding of the task comes from ~~http~~the [[J:~~//www.jsoftware.com/jwiki/~~Essays/Stirling's%20Approximation\|Stirling's approximation essay]] on the J wiki (copyright issues ignored, since this is simple math): <lang Jj>sbase =: %:@(2p1&%) * %&1x1 ^ ] scorr =: 1 1r12 1r288 _139r51840 _571r2488320&p.@% stirlg=: sbase * scorr</lang> Checking against <code>!@<:</code> we can see that this approximation loses accuracy for small arguments <lang j> (,. stirlg ,. ~~!@<:~~gamma) 10 1p1 1x1 1.5 1 10 362880 362880 3.14159 2.28803 2.28804 2.71828 1.56746 1.56747 1.5 0.886155 0.886227 1 0.999499 1</lang> =={{header\|Mathematica}}==

Gamma function: Difference between revisions