http://www.mapleprimes.com/questions/42665-Need-Help en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Sun, 14 Jun 2026 00:55:34 GMT Sun, 14 Jun 2026 00:55:34 GMT The latest answers and comments added to the Question, Need help! http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/questions/42665-Need-Help http://www.mapleprimes.com/questions/42665-Need-Help?ref=Feed:MaplePrimes:Need help!:Comments#answer79668 You can obtain a plot of the transform numerically, for some fixed value of 'k', as follows: Since JacobiSN is O(1), you can choose to terminate the integration early and still get a reasonable precision, so if you want a precision of, say 1e-4 in the plot, you could do: <PRE> > trf := s->evalf(Int(exp(-s*t)*JacobiSN(t,1/3),t=0..-ln(1e-4)/s)): > plot(trf,1/2..5); * 0.8A + A + A + AA + A 0.6 AA + A + A + AA + AA 0.4 AA + AAA + AAA + AAA + AAAA 0.2 AAAA + AAAAAA + AAAAAAAAA + AAAAAAAAAAAAAAAA +-+--+--+--+---+--+--+---+--+--+---+--+--+--+---+--+--+--****************** 1 2 3 4 5 > trf := s->evalf(Int(exp(-s*t)*JacobiSN(t,9/10),t=0..-ln(1e-4)/s)): > plot(trf,1/2..5); * *A 1 +A + A + AA 0.8 A + A + A + A 0.6 A + A + AA + AA 0.4 AA + AA + AAA + AAAAA 0.2 AAAAAA + AAAAAAAA + AAAAAAAAAAAAAAAAA +-+--+--+--+---+--+--+---+--+--+---+--+--+--+---+--+-********************** 1 2 3 4 5 </PRE> You can obtain a plot of the transform numerically, for some fixed value of 'k', as follows: Since JacobiSN is O(1), you can choose to terminate the integration early and still get a reasonable precision, so if you want a precision of, say 1e-4 in the plot, you could do: <PRE> > trf := s->evalf(Int(exp(-s*t)*JacobiSN(t,1/3),t=0..-ln(1e-4)/s)): > plot(trf,1/2..5); * 0.8A + A + A + AA + A 0.6 AA + A + A + AA + AA 0.4 AA + AAA + AAA + AAA + AAAA 0.2 AAAA + AAAAAA + AAAAAAAAA + AAAAAAAAAAAAAAAA +-+--+--+--+---+--+--+---+--+--+---+--+--+--+---+--+--+--****************** 1 2 3 4 5 > trf := s->evalf(Int(exp(-s*t)*JacobiSN(t,9/10),t=0..-ln(1e-4)/s)): > plot(trf,1/2..5); * *A 1 +A + A + AA 0.8 A + A + A + A 0.6 A + A + AA + AA 0.4 AA + AA + AAA + AAAAA 0.2 AAAAAA + AAAAAAAA + AAAAAAAAAAAAAAAAA +-+--+--+--+---+--+--+---+--+--+---+--+--+--+---+--+-********************** 1 2 3 4 5 </PRE> 79668 Tue, 15 Aug 2006 21:05:40 Z Allan Wittkopf Allan Wittkopf http://www.mapleprimes.com/questions/42665-Need-Help?ref=Feed:MaplePrimes:Need help!:Comments#comment86412 Thanks Allan! You prompted to me several useful ideas. Jane. Thanks Allan! You prompted to me several useful ideas. Jane. 86412 Thu, 17 Aug 2006 01:16:07 Z rudem rudem