I always have problems to simplify some complicated expressions to simpler ones. Here is an example of those:
> A := exp(w*a)*w^2*epsilon1*epsilon2+exp(w*a)*w*epsilon1*s2-exp(-w*a)*w^2*epsilon1*epsilon2+w*s2*epsilon1*exp(-w*a)+exp(-w*a)*s1*epsilon2*w-s2*s1*exp(-w*a)+s1*exp(w*a)*epsilon2*w+s1*exp(w*a)*s2;
> B := (w*epsilon1*((1+exp(2*w*a))*s2+(-1+exp(2*w*a))*w*epsilon2)+s1*((-1+exp(2*w*a))*s2+(1+exp(2*w*a))*w*epsilon2))*exp(-w*a);
I got some expression but do not know how to get the simplest form by using simplify
> C := -(1/2)*exp(-I*omega0*t)+(1/2)*exp((-beta-I*omega0-I*alpha)*t);
> Csq := evalc(conjugate(C)*C);
which obviously should be equal to 1/4*(1+exp(-2*t*beta)-2*exp(-t*beta)*cos(t*alpha)). How can I get this form using Maple?
I got two expressions which in essential are the same. But The maple can not give the answer 0 when I did the subtraction btw them. What is the problem here? Or I need to use some other commands?
I tried to get the inverse of a 36 by 36 square Matrix, but some time after the evaluation O got the following message:
Kernel connection has been lost. The kernel returned the following error message:
Execution stopped: Memory allocation failed.
Please see >alloc for more detail.
You should save the worksheet and restart Maple.
Executing commands in Maple requires a connection to the Maple kernel.
So what is the problem here.
P.S. These are the input of the Matrix
> C := Matrix(36, 36); B := Vector(36);