MaplePrimes Questions

Where can I find a description for the various variants of numtheory:-cfrac, which goes more into details than the online help? For example one can guess how an approximating sum can be obtained from numtheory:-cfrac((a+x)^k, x, 7, 'diag', 'simregular', 'quotients'); but I prefer to cross-check against a confirmed formula instead of guessing. If somebody would be so kind to point me to some source to look at ... or even knows it already ...: how does one evaluate the above list to get a value? -- edited to add: I mean a way which can be compiled and without running through
Does it surprise anyone that Maple can't run a loop from i=10^8 to i=10^9 ? Or is my computer just too slow? Thanks Brandon
Does anyone know how to incorporate a rootfinding algorithm with a numerical dsolve? What I mean is to solve an ODE numerically, but having to use a rootfinding technique at the same time... Thanks for your input guys, Brado
Hi guys, I just have a quick question: Does anyone know if there is a way to access to actual code Maple uses for solving ode's numerically? Like, for instance, if you use the Runge-Kutta method and you use dsolve(numeric), is there anyone to actually see the code that Maple uses to calculate the ODE? Because I need to add something inside the loop used to solve the ODE. If anyone knows an easier way to add something to the method that Maple uses to solve ODE's numerically, I'd love to know!!! Thanks guys, Brandon
3 equations are: diff(u_r(r,theta),r)+2/r*u_r(r,theta)+1/r*diff(u_theta(r,theta),theta)+cos(theta)/sin(theta)/r*u_theta(r,theta)=0; -diff(p(r,theta),r)+mu*(diff(u_r(r,theta),r,r)+2/r*diff(u_r(r,theta),r)-2/r^2*u_r(r,theta)+1/r^2*diff(u_r(r,theta),theta,theta)+cos(theta)/sin(theta)/r^2*diff(u_r(r,theta),theta)-2/r^2*diff(u_theta(r,theta),theta)-2*cos(theta)/sin(theta)/r^2*u_theta(r,theta))=0; -1/r*diff(p(r,theta),theta)+mu*(diff(u_theta(r,theta),r,r)+2/r*diff(u_theta(r,theta),r)-1/(r^2*sin(theta)^2)*u_theta(r,theta)+1/r^2*diff(u_theta(r,theta),theta,theta)+cos(theta)/sin(theta)/r^2*diff(u_theta(r,theta),theta)+2/r^2*diff(u_r(r,theta),theta))=0;
i need to evaluate the expration >beta=Pi/10; >gamma=(Pi^2)/(2*beta*(Pi-2*beta)); >h=(1-(2*sinh(x*gamma*beta)*sinh(x*gamma(Pi/2-beta))))/(sinh(Pi*x*gamma/2)*tanh(Pi*x)); >int(tanh(Pi*x)/x*h(x)*LegendreP(-.5+I*x,1,cosh(2))^2,x = .1e-2 .. 3 thanks
Hi I don't know how transfer a FUNCTION Such as X(T) FROM MAPLE TO MATLAB. I SOLVED A DIFFERENTIAL EQUATION THAT MATLAB COULDN'T SOLVE IT,BUT MAPLE SOLVED IT WITH NUMERICAL SOLUTION,I EXTRACT X(t) BY USE OF LISTPROCEDURE AND SUBS COMMAND,NOW I HAVE A VARIABLE X(t) ,SUCH AZ X(1)=0.326 OR X(100)=0.3685 ... HOW CAN I USE X(t) IN MATLAB?Tanx.
Hello Everybody, I have a question regarding intregration. I am trying to integrate the follwing equation with respect to E with limits from k to E0 ( where E0 is 5.7) and expecting to obtain an equation only in k. P1 := .97895*.38888e-1^(-.22310e-1+.38888e-1*ln(1-.17544*E))/(-.57371+ln(1-.17544*E))/k*(1.3557-1.3557*k/E+k^2/E^2) I have tried hard but couldnt do it , somebody please help me ! Thanks in advance ! I appreciate it ! Regards, Thomas !
In Discontinuous Galerkin Method and Finite Volume Method, 1d and 2d Rieman solver must be employed to get the flux between the adjcent elements.Does maple have the function to solve such Rieman problems? Thanks for ur reply!
I'll start off by saying that I suck at rearranging equations and doing complex maths... which is why I use Maple :) (I've got an old copy of Maple 8, which I use rather infrequently since it's not often I need to calculate complex equations). Right now, I have the equations below: S1 := ((R+(D1*sin(90-x)))^2+(D1*cos(90-x))^2)^(1/2); S2 := ((R-(D2*cos(x)))^2+(D2*sin(x))^2)^(1/2); eqn := (L1/(k*(S1^2)) + L2/(k*(S2^2)))^(1/4) = T; I need to make R the subject of the last equation (R is contained in S1 and S2). To do this I'm assuming that I just need to type "solve (eqn, {R});" to make R the subject but if I do that, I get this:
I need some help guys!! I solved 3 simultaneous ODE's using dsolve, and everything went well. But how do I access the variables after? Like if you solve an ODE with dsolve, let's say y'(x) = x after dsolve solve's it, how do you then use y or x? Thanks!!!

How can I find the exact solution? > a20:=cos(Pi/17) = sqrt(sqrt(38*sqrt(17) + 170) + 3*sqrt(17) + 17)/8 + sqrt(34 - 2*sqrt(17))/16 - sqrt(17)/16 + 1/16: > evalf(a20); 0.9829730997 = 0.9829730994 I found cos(Pi/5) and cos(Pi/15). a1:=cos(Pi - 2*Pi/5) = cos(3*Pi/5): > a2:=cos(Pi - 2*x) = cos(3*x); a2 := -cos(2 x) = cos(3 x) > a3:=expand(a2); 2 3 a3 := -2 cos(x) + 1 = 4 cos(x) - 3 cos(x) > a4:=subs(cos(x)=y,a3); 2 3 a4 := -2 y + 1 = 4 y - 3 y > a5:=[solve(a4,y)]; 1/2 1/2 5 5 a5 := [-1, ---- + 1/4, 1/4 - ----] 4 4 > a6:=cos(Pi/5)=a5[2]; a6 := cos(1/5*Pi) = 1/4*5^(1/2)+1/4 > evalf(a6); 0.8090169943 = 0.8090169942 > a7:=cos(Pi/3-2*Pi/5)=cos(Pi/15): > a8:=cos(Pi/3-2*x)=cos(Pi/15): > a9:=expand(a8); a9 := cos(x)^2-1/2+3^(1/2)*sin(x)*cos(x) = cos(1/15*Pi) > a10:=subs(sin(x)=sqrt(1-cos(x)^2),a9); a10 := cos(x)^2-1/2+3^(1/2)*(1-cos(x)^2)^(1/2)*cos(x) = cos(1/15*Pi) > a11:=subs(cos(x)=a5[2],a10): > a12:=simplify(expand(a11)); a12 := -1/8+1/8*5^(1/2)+1/16*3^(1/2)*(10-2*5^(1/2))^(1/2)*5^(1/2)+1/16*3^(1/2)*(10-2*5^(1/2))^(1/2) = cos(1/15*Pi) > evalf(a12); 0.9781476005 = 0.9781476007 I have a simplier version. > a13:=sqrt(6*sqrt(5) + 30)/8 + sqrt(5)/8 - 1/8 = cos(Pi/15): > evalf(a13); 0.9781476010 = 0.9781476007

I am new to maple. At present, i am do some study on FEM. so i want to ask if there is some command in maple about the fomulation of Green and Gauss theorem. for i want to change to the body integral to the boundary integral. Thanks for your reply!
Seems that Maple outputs ".." instead of ":" for Matlab code. Note that I'm using Matlab 6.5, so not sure if version has anything to do with it. Is this a bug? Any help would be greatly appreciated. Thanks. >Matlab Code generated from Maple follows
I have a bit of programming experience but am completely new to Maple (using Maple V release 5, by the way). How would a person go about writing a short program that opens a plain text file, and builds a family of sets based on the content. some of these families will be quite large, so we would like to enter the data into the text files not as sets formatted {a,b,c...} but with an uninterupted sequence of characters (interuption can be comma, space or line break) representing the members of the sets, ie. a text file containing abc,def,ghi jkl would create a set equal to { {a,b,c}, {d,e,f}, {g,h,i}, {j,k,l} }.
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