## Normalization of N constant...

Asked by:

what is the normalization constant N for this wave function x range from  x=o and x=L ?

## Is there a simple way to solve the eigenvalue prob...

Asked by:

Eigenvectors(A, C) can be used to solve the eigenvalue problem:
A . x = lambda . C . x

if a new term " lambda^2 . D . x " is added to the right hand side, where D is a new matrix, is there a simple way to solve the new eigenvalue problem:

A . x = lambda . C . x + lambda^2 . D . x

Thank you!

## Can I use indexed parameters in Maple procedures?...

Asked by:

Simple Maple procedure definition is like this:

f := proc (x, y) sin(x+y)-exp(x)*y end proc:

How can I use indexed parameter declarations, say:

f := proc (x[1], y[2]) sin(x[1]+y[2])-exp(x[1])*y[2] end proc:

where x and y are arrays of unknowns. It seems that this does not work in Maple 13.

Originally, I want to solve a set of n nonlinear equations with n unknowns W[n] using fsolve(), and the output is a set of equations, say:

## "Equal" function for matrices incorrectly returns ...

Asked by:

Hello,

I have some strange problems with the function "Equal" in LinearAlgebra, which should allow me to compare matrices.

First of all, this works without any problems:

> restart; with(LinearAlgebra);
> A := Matrix(2, 2, [[0, 0], [0, 0]]);
> Equal(A^2, A);

Maple correctly returns "true" since here A is equal to its square.

But:

> restart; with(LinearAlgebra);
> A := Matrix([[a, 0], [0, 0]]);

## Small procedure including IF THEN goes wrong, how ...

Asked by:
Good day,I was wondering what I do wrong when I use this procedure, which I want to plot.I just created a small procedure and don't know why the two methods are different.Maple_-_Proc_IF_THEN.mwThank you.Greetings, Frank

## execution stopped:......, the kernel has been shut...

Asked by:

hi guys,i have a program when i run it after 3or4 minutes maple give this :

execution stopped:memory allocation failed.please see ?alloc for more detail.

when i ok it then give this :

the kernel has been shut down.further computations cannot be performed.

what do you think ?

thank you very much

## Need a tutor/ trainer immediately for Maplesoft fo...

Asked by:

Are you in or near Berkeley, California?

Are you experienced with Maplesoft for academics?

Can you train a student to use it with the tutorials and your own knowledge?

This student is located at University of California, Berkeley and needs an immediate hands on private trainer.

He will be taking Calculus 1A next semester and needs to learn to use this program this summer.

He is a student who uses an eye control computer without the use of his hands and needs this

## Solving a system of recurrence relations...

Asked by:

Hi,

I'm using Maple 14 and I'm trying to solve a system of recurrence relations with initial conditions (a Vector Autoregressive model). The system is

const:=Vector[column]([0.009421681, -0.0005441856]):
lagY:=Vector[column]([0.796519372, 0.0179147112]):
lagZ:=Vector[column]([0.133049059, 0.5240695764]):
A:=<<const>|<lagY>|<lagZ>>;

eq1:=y(t) = A[1, 1] + A[1, 2]*y(t - 1) + A[1, 3]*z(t - 1);
eq2:=z(t) = A[2, 1] + A[2, 2]*y(t - 1) + A[2, 3]*z(t - 1);

## matlab threshold effect in fm demodulation pll...

Asked by:

Hi all

I want to simulate the threshold effect in FM modulation\ demodulation, in theory ,when the carrier to noise ratio (the modulated signal SNR)fall below a certain value ,then the signal to noise ratio(of the demodulated signal will fall dramatically and the signal will not demodulated , click sounds will be heard in the output of demodulator. I have tried first "slope detector" as a demodulator, but the threshold effect didn't appear at all when i decrease...

## BVP with constraining integrals...

Asked by:

Hi,

i wrote the following code

restart:
zet:=0.5:
rhop:=3880;
rhobf:=998.2;
cp:=773;
cbf:=4182;

eq1 := diff(u(eta), eta, eta)+0.133762025280e-2/(0.993000000000e-3+0.388362300000e-1*phi(eta)+.530162700000*phi(eta)^2)+(1/(eta-1)+(0.388362300000e-1+1.06032540000*phi(eta))*(diff(phi(eta), eta))/(0.993000000000e-3+0.388362300000e-1*phi(eta)+.530162700000*phi(eta)^2))*(diff(u(eta), eta));
eq2 := diff(T(eta), eta, eta)+(.63267672*((2.66666666666*(-1.1752324*10^6*phi(eta)+4.1744724*10^6))*u(eta)/p2+7.04876575828*(diff(phi(eta), eta))-(1.58058605349*(.597+4.45959*phi(eta)))*(diff(T(eta), eta))/(1-eta)))/(.597+4.45959*phi(eta));
eq3 := diff(phi(eta), eta)-5.00000000000*phi(eta)*(diff(T(eta), eta));
p:=proc(pp2) if not type([pp2],list(numeric)) then return 'procname(_passed)' end if:

res := dsolve({eq1=0,subs(p2=pp2,eq2)=0,eq3=0,u(0)=0,u(1-zet)=0,phi(0)=0.008,T(0)=0,D(T)(0)=1}, numeric);
F0,F1,F2:=op(subs(res,[u(eta),phi(eta),T(eta)]));
res(parameters=[pp2]);
evalf(2/(1-zet^2)*Int((1-eta)*(F1(eta)*rhop+(1-F1(eta))*rhobf)*( F1(eta)*rhop*cp+(1-F1(eta))*rhobf*cbf )/(F1(eta)*rhop+(1-F1(eta))*rhobf)*F0(eta),eta=0..1-zet))-pp2
end proc;

fsolve(p(pp2)=0,pp2=(20000)..(8000000));

it has an error and i cannot find that. would you please help me?

thanks

## Residual error plot...

Asked by:

Hello everyone,

I want to know, how we can plot residual errors of the numerical scheme offered with dsolve command? This plot should show that the errors are in admissible range which indicates that the numerical scheme offers high accuracy.

For example, we have a bvp

dsolve({diff(y(x),x\$2)-2*y(x)=0,y(0)=1.2,y(1)=0.9}, numeric,method=bvp[midrich]);

How to plot "Residual Error vs x" in this specific case?

Thanks

## Speeding up simulations...

Asked by:

Dear Maple users

I am trying to simulate the distribution of Q-values (Karl Peason) in a Contingency table. In that regard I need to use a two dimensional iteration. It require quite a lot of time to perform the computations. Using the values below, it required 1.3 mio iterations and took about 5 minuttes on my computer. My question is if there are ways I can speed it up? It might be using different commands, which are executed faster, performing computations in the...

## calculating with lists...

Asked by:

i have a list of numeric values like this:

r:=[a,b,c,....]

now i want to calculate the quantity

s:=lambda-r^2

which in turn should give me a list again whose entries are:

[lambda-a^2,lambda-b^2,...]

but just doing

s:=lambda-r^2 doesnt work.

lambda is an arbitrary number

## How to find a permutation group with generator and...

Asked by:

a,b ; a^2, b^2, a*b = b*a

is a presentation

a and b are permutation group

a*b = b*a is relation

i am not sure a^2 or b^2 are generator, i guess they are

so how to find a and b which are permutation group?

is it a,b ; a^2, b^2, a*b = b*a     or      a,b ; a^2=1, b^2=1, a*b = b*a  ?

if a^2, b^2, a*b = b*a , i do not know what is a^2 if a^2 = 1

## How to deal with words for multiplication...

Asked by:

multiplication = composition = permmul

it is like matrix multiplication that has right or left multiplication

when deal with words

a1*a2*a1^(-1)

it will become a2, how to maintain a1*a2*a1^(-1)

because i expect to do some transformation

 First 773 774 775 776 777 778 779 Last Page 775 of 1636
﻿