Hi all. I am trying to use the Weyl character formula to evaluate some traces of Hecke operators on algebraic modular forms. This involves me having to substitute certain eigenvalues of 4x4 matrices into a polynomial of arbitrary degree (my choice).

I have created procedures that do this given the eigenvalues. Unfortunately I am having problems generating the eigenvalues.

The problem is that the matrices I am using are formed from products of matrices from two...

Hi,

Assume having to solve an ode with dsolve and plotting with odeplot. Further, markings at specific parameter values of the solution should be plotted, i.e. if p is the solution of the ode, the points p(t1), p(t2), ... should be plotted. Since the ode is complicated and computation takes a lot of time, is there a way to extract the values p(t1), ... from the odeplot result directly without invoking calls like subs(p(0.5),b(s)) again?

Fine $a_{n}$ of sequence  2 , 3 , 6 , 7 , 10 , 11 , 14 , 15,...

Why do the statements eval(sign(x),x=-2) and subs(x=-2,sign(x)) both give plus one while sign(-2) gives -1 as expected?

Hello every one,

I got an error while trying to solve numerically a nonlinear system of odes using 

the dsolve command. This error is very common,

"Error, (in dsolve/numeric/bvp) initial Newton iteration is not converging".

I tried the different technique explained in 

http://www.maplesoft.com/support/help/Maple/view...

I want to graph the portion of the plane 2x + 3y + z = 6 that are located in the first octant of a xyz coordinate system. The following implicitplot3d should in principle do it:

Regards, I am conducting independent research in my university and I was recomended to use this software but since I am more familiar with matlab it feels harder to use maple and I'm making many mistakes.

My question is how to solve the following equation w(xi) = a_0 + a_1 * xi + a_2 * xi^2 + a_3 * xi^3 + a_4 * xi^4

So I defined xi = x/L

and gave some boundary/initial conditions for this equation(don't know if this is right)

w(0) = 0 : w(L...

Trying to create multi-dimensional geometric brownian motion by using:

W := GeometricBrownianMotion(Vector(N, 1), Vector(N), B.B^%T);

but receive the following error message:

Error, (in Finance:-GeometricBrownianMotion) invalid input: ProcessOptions expects its 1st argument, x0, to be of type realcons, but received Vector(2, {(1) = 1, (2) = 1})

The vectors and B.B' matrix are fine, because

W := BrownianMotion(Vector(N, 1), Vector(N), B.B^%T);

Problem 1

A furniture manufacturer knows from experience that the cost of payroll and maintenance to run your shop s hours is a function of number of hours, s. The shape of the cost function in dollars and time in hours, C (s), determined by the manufacturer is:

C (s) = piecewise (s <16 and 0 <s,-s 3 +24 * ** ** 2 +20,16 s <= s, s * 20 +1748);

a) Define a function arrow that represents the cost of the manufacturer as a function of the operating...

Hello,

concerning this question

http://www.mapleprimes.com/questions/137333-Making-Specific-Calculation-Computable

I want to describe the problem differently: I start with a rational function (polynomial/polynomial) B in two indeterminates x,y which is already quite lengthy (about 80 lines on my worksheet) and want to perform several (algebraic...

Investigate the limit of: (1-cos(x))/x as x goes to 0.

More specifically, define: f(x)=(1-cos(x))/x

and demonstrate that the limit as x approaches 0 f(x)=0 as follows:

Write a function that takes a as input, and calculates an integer N as the output so that |f(1/N)|, using a while loop.

Specifically, compute f(1), f(1/2), f(1/3)..... until |f(1/N)|< a and return N.

I used Maple to calculate the Smith form of a 24 by 36 matrix.  

1. How can I find the column operations so that I can apply them to the identity matrix and obtain the change of variables matrix?  

2. If I can't find the column operations then is there a way to have Maple do the same column operations on the identity matrix that it used to find the Smith form of the 24 by 36 matrix?

I'm attempting to solve a system of 47 equations (for 47 unknowns) analytically via matrix methods.  My equations can be written as the product of a 47x47 matrix of coefficients and a 47 row column vector of variables.  I'm trying to find the determinant of the 47x47 matrix of coefficients.

I've done this succesfully for simpler systems (or around 20 equations) however when I try to use the same method for this larger system I get the error (after a few minutes of computation)...