I want to invlaplace the following complex expression that I call PQ.

>PQ:=(cosh((1/2)*eta*sqrt(C3^2+4*C1*s))*sqrt(C3^2+4*C1*s)+sinh((1/2)*eta*sqrt(C3^2+4*C1*s))*C3)*(cosh((1/2)*eta*C3)-sinh((1/2)*eta*C3))*(-cosh(C4)-sinh(C4)+s)/(s^2*(-sinh((1/2)*C3)+cosh((1/2)*C3))*(sinh((1/2)*sqrt(C3^2+4*C1*s))*C3+sqrt(C3^2+4*C1*s)*cosh((1/2)*sqrt(C3^2+4*C1*s))))

where C1 C3 C4 eta are constant .

Then I do like this

>invlaplace(PQ)

But I got

How to prove that 

sum(binomial(n, r)*binomial(k+r, n), r = 0 .. n) = sum(binomial(n, r)*binomial(k, r)*2^r, r = 0 .. n)?

Maple calculates the LHS and RHS, but I cannot compare these with Maple for each n::posint and each k::posint s. t. k>= n. The question was asked in Mathematics SE. I don't understand whether it is answered there.

I am trying to see if Maple can help me find a closed form for an infinite series. I do this:

restart:

s:=Sum(n^2/((Pi^2*n^2+beta^2*epsilon^2)*(exp(n))^4), n = 1 .. infinity);

value(s);

Maple returns with:

I'm making a student quiz and would like to use Maple to enter long division problems. Is there an expression template in the palettes for entering long division?

Thank you.

Jerry

I would like to calcuate the residue of the following expression that I call res

>res:= subs([S1 = C3-sqrt(C3^2+4*C1*s), S2 = C3+sqrt(C3^2+4*C1*s)], exp(s*t)*(S1*(sinh((1/2)*S1)-cosh((1/2)*S1))*(sinh((1/2)*S2*eta)-cosh((1/2)*S2*eta))-S2*(sinh((1/2)*S2)-cosh((1/2)*S2))*(sinh((1/2)*S1*eta)-cosh((1/2...

Hi,

I need to model the MapleSim ground as a hard ground. For example when the robot swing leg hits the ground, it should not have negative vertical position. Basically, the robot will move on a surface.

Thanks...

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restart;

read("D:/Poset2/posets2.4v.txt"):

with(posets):

L := chain(2) &* chain(2);

plot_poset(L);

lattice(L);

autgroup(L);

   *    *

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     *

Hello every one,

While plotting contours with grid size [200,200] my computer consume too much time to

execute the commond. To have an idea, the current process which I am running right now already

took 2380.22s and 68.60M and still its on.

Any suggestion to make the contour plot process faster?

Thanks

Hello,

This is more of a tutorial rather than a question because I found some mistakes and because the maple help file was a bit poorly explained and I am posting some additional details.

I am running version 16 of maple and version 7.12 R2011a of matlab.

If some of you are wondering how to call a Matlab user function in Maple this is what I have done:

First of all in the maple...

When I export my plot to PDF, adobe acrobat says: A drawing error occurred. Other programs see my PDF as corrupt. I would use a .eps file, but my plot has a semi-transparent component that doesnt show up very well as an eps. Any ideas?

Thanks

I recently purchased a new MacBook Pro (retina) with Mountain Lion and found that my Maple 12 programs would not run.  So I updated to Maple 16.  Initially all seemed to work well.  But now when i try to open a Maple .mw file, I get the message

"File acm23test.mw could not be found.  Please select a different file."

What has happened and how can I get my programs working again?

DavidR

M = (1+y^2)/((x^2+1)*(1+z^2))

Anyone have any background knowledge on the above 3D polynomial?  Assuming all 4 parameters are real I ploteed some 3D plots & some interesting surfaces are generated.  I imagine this has some physical application.  If anyone has some knowledge on this please respond & include any references you might know of.

Thanks

Hi everybody,

I already discussed my tasks with @Preben Alsholm. Therefore, I decided to share it with you and try to finalize solution.

Actually, I want to calculate heat dynamics transfer between one, two or more rooms. Hence, I used heat balance approach to set the system of differential equations: