From: SourceForge.net <no...@so...> - 2005-11-30 02:21:50
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Bugs item #1369694, was opened at 2005-11-29 21:21 Message generated for change (Tracker Item Submitted) made by Item Submitter You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1369694&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: None Group: None Status: Open Resolution: None Priority: 5 Submitted By: Raymond Toy (rtoy) Assigned to: Nobody/Anonymous (nobody) Summary: taylor(acosh(x),x,1...) is wrong Initial Comment: (%i30) taylor(acosh(x),x,1,5); (%o30) (%pi-2*log(sqrt(2)+1))/2-sqrt(2)*(x-1)/2+sqrt(2)*(x-1)^2/8 -sqrt(2)*(x-1)^3/48-sqrt(2)*(x-1)^4/128 +13*sqrt(2)*(x-1)^5/1280 (%i31) ev(%,x=1); (%o31) -(2*log(sqrt(2)+1)-%pi)/2 (%i32) acosh(1); (%o32) 0 (%i33) ev(%o31,numer); (%o33) 0.6894227397753536 The %pi in %o30 looks clearly wrong. In fact, the taylor expansion looks like the %pi/2 - taylor(asinh(x),x,1,5). ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1369694&group_id=4933 |
From: SourceForge.net <no...@so...> - 2005-12-09 13:53:30
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Bugs item #1369694, was opened at 2005-11-29 21:21 Message generated for change (Comment added) made by rtoy You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1369694&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: None Group: None >Status: Deleted >Resolution: Duplicate Priority: 5 Submitted By: Raymond Toy (rtoy) Assigned to: Nobody/Anonymous (nobody) Summary: taylor(acosh(x),x,1...) is wrong Initial Comment: (%i30) taylor(acosh(x),x,1,5); (%o30) (%pi-2*log(sqrt(2)+1))/2-sqrt(2)*(x-1)/2+sqrt(2)*(x-1)^2/8 -sqrt(2)*(x-1)^3/48-sqrt(2)*(x-1)^4/128 +13*sqrt(2)*(x-1)^5/1280 (%i31) ev(%,x=1); (%o31) -(2*log(sqrt(2)+1)-%pi)/2 (%i32) acosh(1); (%o32) 0 (%i33) ev(%o31,numer); (%o33) 0.6894227397753536 The %pi in %o30 looks clearly wrong. In fact, the taylor expansion looks like the %pi/2 - taylor(asinh(x),x,1,5). ---------------------------------------------------------------------- >Comment By: Raymond Toy (rtoy) Date: 2005-12-09 08:53 Message: Logged In: YES user_id=28849 This is a duplicate of 623165 ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=1369694&group_id=4933 |