Hi, I have a transformation x+iy=exp(a+ib), where a and b are the coordinates of the new system. What is the best way to derive different derivatives in the new system in maple? The first derivative is quite easy, but when we go, to lets say, second derivative of a certain function by x and y, getting the derivative by a and b becomes something tricky and long. And I need third derivatives as well, so I'd rather the computer do it for me. Victor

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8/27/2007 3:18:42 PM

In article <1188227922.245830.163710@r29g2000hsg.googlegroups.com>, Victor <Mollari@gmail.com> wrote: >I have a transformation x+iy=exp(a+ib), where a and b are the >coordinates of the new system. Let's see... that would be a = 1/2*ln(x^2+y^2), b = arctan(y,x), and y = tan(b) and x = +/- sqrt(exp(2*a) - tan(b)^2) >What is the best way to derive >different derivatives in the new system in maple? The first derivative >is quite easy, but when we go, to lets say, second derivative of a >certain function by x and y, getting the derivative by a and b becomes >something tricky and long. And I need third derivatives as well, so >I'd rather the computer do it for me. Trying a random function... > F := 3*x^2*y+cos(x*y): > simplify(diff(F,x,y)) assuming real; 6 x - cos(x y) x y - sin(x y) > F2 := subs(x=sqrt(exp(2*a)-tan(b)^2),y=tan(b),F); F2 := 3*(exp(2*a)-tan(b)^2)*tan(b)+cos((exp(2*a)-tan(b)^2)^(1/2)*tan(b)) > diff(F2,a,b); 6*exp(2*a)*(1+tan(b)^2)-cos((exp(2*a)-tan(b)^2)^(1/2)*tan(b))*(-1/(exp(2*a)- tan(b)^2)^(1/2)*tan(b)^2*(1+tan(b)^2)+(exp(2*a)-tan(b)^2)^(1/2)*(1+tan(b)^2))/ (exp(2*a)-tan(b)^2)^(1/2)*tan(b)*exp(2*a)-sin((exp(2*a)-tan(b)^2)^(1/2)*tan(b) )/(exp(2*a)-tan(b)^2)^(3/2)*tan(b)^2*exp(2*a)*(1+tan(b)^2)-sin((exp(2*a)-tan(b )^2)^(1/2)*tan(b))/(exp(2*a)-tan(b)^2)^(1/2)*(1+tan(b)^2)*exp(2*a) > simplify(%) assuming real; -(2*cos(b)*cos(1/cos(b)*(exp(2*a)*cos(b)^2-1+cos(b)^2)^(1/2)*sin(b)/abs(cos(b) ))*sin(b)*(exp(2*a)*cos(b)^2-1+cos(b)^2)^(1/2)*abs(cos(b))-6*(exp(2*a)*cos(b)^ 2-1+cos(b)^2)^(1/2)*cos(b)^2*exp(2*a)*abs(cos(b))+6*(exp(2*a)*cos(b)^2-1+cos(b )^2)^(1/2)*abs(cos(b))-6*(exp(2*a)*cos(b)^2-1+cos(b)^2)^(1/2)*cos(b)^2*abs(cos (b))-2*cos(1/cos(b)*(exp(2*a)*cos(b)^2-1+cos(b)^2)^(1/2)*sin(b)/abs(cos(b)))* sin(b)*signum(cos(b))*(exp(2*a)*cos(b)^2-1+cos(b)^2)^(1/2)+cos(1/cos(b)*(exp(2 *a)*cos(b)^2-1+cos(b)^2)^(1/2)*sin(b)/abs(cos(b)))*sin(b)*(exp(2*a)*cos(b)^2-1 +cos(b)^2)^(1/2)*exp(2*a)*cos(b)*abs(cos(b))+sin(1/cos(b)*(exp(2*a)*cos(b)^2-1 +cos(b)^2)^(1/2)*sin(b)/abs(cos(b)))*cos(b)^4*exp(2*a))*exp(2*a)/cos(b)^2/(exp (2*a)*cos(b)^2-1+cos(b)^2)^(3/2)/abs(cos(b)) Bleh. I'd sure rather have the computer do that! -- Programming is what happens while you're busy making other plans.

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8/27/2007 4:45:54 PM

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Author acquired a licensed copy of mathematical software Maple V Release 8.= 0 by=20 ( Waterloo ) Maple Soft. Author is not as desperate as any of the Napoleon= Bonapartes; yet, author is desperately seeking a copy of a software execut= able hotfix-patch-upgrade 8.0.1 program [ and any all if any more recent th= an referenced version 8.0.1 ] -- for mathematical software Maple V Release = 8.0=20 ( Waterloo Maple Soft ). If you may provide a copy: =20 FOR REPLY =3D---> Upload to mjollnir0101@GMAIL.com in form of attachment to= electronic mail message. eNd oF mEsSaGe. =20 ...

When I select "Open file" in Maple 9, all my Maple V.5 and Maple 7 worksheets are greyed out; is there any way to get Maple 9 to open them? (I'm on a Mac, so I don't have the Claasic Worksheet interface, if that matters.) Jeanne Jeanne, Il suffit de rajouter l'extension ".mws" � la fin de vos anciens fichiers (V.5 ou 7). Maple 9 les ouvrira alors, mais avec les d�fauts inh�rents � Maple 9 (caract�res sp�ciaux) toujours non corrig�s dans la version 9.03 ! Cordialement. In article <ae28efc2.0402250534.1ca761eb@posting.google.com>, ...

Author acquired a licensed copy of mathematical software Maple V Release 8.0 ( by Waterloo Maple Soft ). Author is not as desperate as any of the Napoleon Bonapartes; yet, affirmatively is seeking a copy of software executable hotfix-patch-upgrade 8.0.1 program [ and any all if any more recent than referenced version 8.0.1 ]for Maple V Release 8.0 ( Waterloo Maple Soft ). If you may provide a copy: FOR REPLY =---> Upload to mjollnir0101@GMAIL.com [ SIC ]. ...

Maple story mesos is so important that players in maple story all like it.many have many method of making mesos.but how to make maple story money quickly is not an easy thing.the comon method of making maple stoey money is too time consuming and requires patience.Now comes another way. maple-story http://www.maple-story-mesos.com http://maplestory.virgolds.com our website : ragnarokonline http://www.ro-ragnarok-online.com http://www.ragnarokonline.cc http://ragnarokonline.virgolds.com ...

Please. Can anyone will help me through this 1. How to enter the document into the maple soft.? 2. How to enter the file into the maple software?? In article <0bd39523-9a45-41bc-9512-e492962bd258@ir9g2000pbc.googlegroups.com>, darshi <darshantv401@gmail.com> wrote: > Please. Can anyone will help me through this > 1. How to enter the document into the maple soft.? > 2. How to enter the file into the maple software?? Mac, Windows, Linux, ... ??? On Mac, you can select "Open" in the "File" menu of Maple. Or drag the document onto the icon o...

Author acquired a licensed copy of mathematical software Maple V Release 8.= 0=20 ( Waterloo Maple Soft ). Author is not as desperate as any of the Napoleon= Bonapartes; yet, affirmatively is seeking a copy of software executable=20 hotfix-patch-upgrade 8.0.1 program [ and any all if any more recent than re= ferenced version 8.0.1 ] for Maple V Release 8.0 ( Waterloo Maple Soft ). = If you may provide a copy of an upgrade-patch-hotfix for one or more of thr= ee versions of referenced software program for MacOS ( Apple Mcintosh Compu= ter ), LiNUX ( Linus Thorvald ), and Windows ( Mi...

I am used to work with Maple 7; I would like to know if someone can tell me if it is worthwhile upgrading to Maple 9. Despite using Matlab for numerical calculations, I also use Maple to perform some numerical tasks, in particular for the solution of boundary value problems. Maple 7 uses an algorithm based on the finite difference method (dsolve) for bvp, does anyone knows if Maple 9 has new algortihms for boundary value problems. Thank you for your help. Best regards ...

On the tune proposed by Edwin Clark right away. According to Maple 9 help (?subs) "The action of substitution is not followed by evaluation. In cases where full evaluation is desired the eval command should be used as shown in the examples below." According to Maple V Release 4 help (?subs) "The action of substitution is not followed by evaluation. In cases where full evaluation is desired, it is necessary to use the eval function to force an evaluation." So, both helps tell me the same, don't so? Now consider the same input involving subs in va...

I was trying to use the Gemetry tutorials I downloaded from the Maple web site. In addition to the worksheet files there are two other files, Maple.ind and Maple.lib. Each worksheet has a line, "libname:="C:\\Program Files\\Maple 7\\LIB\\Geom\\", libname:" I tried changing the path to match the path where the files are located. When I looked in the Maple help it showed the path used forwrd single slashes rather than double back slashes. So I changed it again with no success. What do I need to do to get the library to load so that its functions will be availabl...

MUG, I have developed a Maple package that compares customer data phonetically and automatically classifies it. It takes use of an advanced Soundex algorithm incorporating my own analysis of real data, study of referring books on phonetics and linguistics, and even experiences stemming from the Phoenicians, who developed our ABC 3,000 years ago. Classifications: - persons being the same despite of typing errors, - family members being found, - persons not belonging to the same family, - abbreviations, - subsets, - phonetic analysis of strings representing human names, -...

Maple IDE is an Eclipse-based professional programming environment for Maple. The IDE harnesses the flexibility of Eclipse and focuses it into a powerful tool for Maple application development and deployment. Some of the main features: - Maple code editor - create and navigate code easily with syntax coloring, outline view, code folding, code formatting and real-time error detection. - Running and Debugging tools - run and debug your code using advanced launch configurations and Maple Mint tools. - Refactoring tools - rename Maple elements such as modules, procedures etc. with automa...

I bought 9 to upgrade from 6, and from what I can tell, 6 is always faster than 9, and 6 can handle bigger numbers in some situations (involving freeze and thaw) than 9 can. Should I take Maple 9 back or is Maple planning to release some patches to fix the speed/memory issue? -thanks! -todd "Todd Smith" <smittod@auburn.edu> wrote in message news:ed3092e7.0402101354.245a0b01@posting.google.com... > I bought 9 to upgrade from 6, and from what I can tell, 6 is always > faster than 9, and 6 can handle bigger numbers in some situations > (involving freeze ...

Hello I had not choice but to upgrade Maple 12 -windows from Maple V5 - linux. On the latter I had not problem to issue the following command: read(`/home/xxxx/matlab/MAPLEV2/work/myrouts.sub`); I tried something similar on Maple 12 -windows but to no avail. / won't work, it thinks is a fraction. myrouts.sub are my maple functions. Many thanks Ed In article <266ec544-a1fd-4bee-af0f-3d5e2e7090d9@34g2000hsf.googlegroups.com>, emamm <emammendes@gmail.com> wrote: >I had not choice but to upgrade Maple 12 -windows from Maple V5 - >linux. On the la...

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