How to expand a periodic function to form of fourier series

The periodic function such as

exp(lambda(exp(I*t)-1))

I have a program that makes very simple operations (such as concatenations or comparisons of binary strings) but it is intended to produce many data.

Maple seems to be in trouble when the number of data grows: whith my (quite old) computer, it begins to be very unefficient when trepassing a thershold  about 5*10⁴ items.

Are there some tricks I do not know?

subs.mw

Hi

How can i get maple to substitute z=x^2 into y=x^10-x^8 to produce y=z^5-z^4?

Hi:

Is it possible to programatically specify which variables are to be skipped and what the ranges should be for others when using the Explore command? I mean as options to Explore.

If not, is this in the future plans?

thanks,

I'm sorry if I'm duplicating the information here. I tried to post a comment but it doesn't seem to be appearing.

When I change = to := it does not work. Maple says

 Error, invalid input: MultiSeries:-series expects its 2nd argument, eqn, to be of type {name, name = algebraic}, but received 1.*I

I'm using the pdesolve function for a linear pde system of two equations in x and y, with indeterminate functions V(x,y), W(x,y). I'm trying to incorporate Neumann boundary conditions such as:
eval(V[x],x=0) =1;

but when I do so in the pdsolve function I get the error message that the bcs are nonlinear in V and W. Is there a different way that I should be declaring these bcs for use in pdsolve? Or should I in fact be trying to incorporate the bcs some other way?

I have a system of 3 ODEs in 3 variables x(t),y(t),z(t) to be solved numerically. I would like to set up events to halt integration as soon as one of the derivatives changes sign.

I've tried things like:

'events' = [ [ diff(x(t),t) >0, 'halt'] ] :

'events' = [ [ diff(x(t),t) = 0 .. 0.1, 'halt'] ] :

I might have tried something like increasing(x(t)) (how nice and intuitive), but if I understand correctly the help page on this, increasing(x(t)...

Really enjoying Maple 12 in document mode, but am finding the results to be unreliable sometimes. It doesnt seem like I can attach the maple file here (which is annoying), but I often find that when, for example, solving for a variable, the results are not shown properly as an equation, but rather include text which looks as though maple is showing the equation with some kind of internal code, for example d ...

Hi guys I am trying to evaluate  an integral of the form

A_0 := (1/(2*Pi)+Q*cos(k*phi))^2/(1+(1/(2*Pi)+Q*cos(k*phi))^2);

In this case I specify a value for Q=15 as given below and since maple cannot evaluate the integral directly I have written code to evaluate the integral using the residue theorem. So for each singularity I calculate the residue at that point and multiply the sum of the residues by 2*Pi*I as in the code below. However the...

Hi,

I have a problem with the solve comment. I have two equations with two variable. I try to use solve or fsolve but there is a message appears as follow

" Warning, solution may have been lost"

Thus could please help me ho to find the solutions?

Best regards

Hi everyone, 

How I can split loops than in openMP library 

#pragma omp for

using threads in maple ... please a one example

thanks by your attention.

A list of small graphs with associated pictures and tables of
values of various graph invariants.

The graph invariants were made using Maple programs which uses
the networks and GraphTheory packages.

A picture presents some inequality conjectures between the graph invariants.

http://www.msci.memphis.edu/~speeds/

Sam Speed   August 29, 2011

If I have 

F = x + 2π_Z1~

Is there a function/operator I can apply to F which returns only x, discarding 2π_Z1~?  That is, I want to return only the base angle, and dump the added integer multiple of 2π term.

Consider a function f depending on a parameter k and a variable y

f:=(k,y)->k*s(y);

where s:=y->add(sin(1/y^i),i=1..1000000) is just some nasty function.

Now, why does it take a long time to evaluate f(0,y)? And how could I speed this up?

More generally, I would like to plug (varying) parameters into a function, simplify and then do analysis on the resulting function. How could I do that?