Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

In the name of God

Dear my friends

Hi

Can Maple work with differential operators without introducing a known function?

For example, assume that we have

diff(diff(f(x),x)+f(x),x);

How can we apply differential operators such as diff or D without applying any known function as:

diff(diff(...,x)+...,x);

if...

I have two issues.

if I say

int(exp(I*k*x),x=-Pi..Pi) assuming k::integer

Maple answers me with 

0

which is wrong, as one would expect the result to be a kronecker delta (k=0 is a type-integer for mapel). Is there a way to make Maple understand it is doing a mistake?

Related to this there is another point.

If I write

int(exp(I*(k-q)*x),x=-infinity..infinity)

Maple does not write (or convert) the result...

In the name of God

Dear my friends

Hi

 I have a function as the following:

 temp:=phi(Lambda(tau, 0), tau, 0)+((D[1](phi))(Lambda(tau, 0), tau, 0)*(D[2](Lambda))(tau, 0)+(D[3](phi))(Lambda(tau, 0), tau, 0))*q;

 I have equivalent functions for Lambda(tau,0) and phi(Lambda(tau,0),tau,0) as the following:

 c[0](tau) instead of Lambda(tau,0)

y[0](c[0](tau),tau) instead of phi(Lambda(tau,0),tau,0)

Is there a simple way to allow for the input of a list of equations into a procedure?

I have these three equations:

f[1] := x[2]+3*x[4]+x[5]-x[6]=2;
f[2] := x[1]+2*x[2]-x[3]+x[4]+3*x[6]+x[7]=13;
f[3] := x[1]+x[2]-3*x[3]-x[4]+x[5]-x[8]=26;

Ideally I would want something like proc([f[1],f[2],f[3]]). Is something like this possible?

 

P.S. I have tried proc(f::algebraic) but got the error message:

Error, invalid input:...

I try to get the answer of int by newton cotes method,

but after runnig,it gives a complex number for the answer.

I think its because of singular point.

Is there any method which find singulaitis and make integarl to some parts without that singular point automatically?

thanks

Dear Maple helpers. Here a toy-version of my huge problems.

 

I want to do following:

 

1). Assuming (0 <a=1/2,  b=1/2, c=1/2)

 

I want  to plot (the surface of)  

 

f(x,y,z) = x^a * y^b * z^c   in the space (x,y,z) for

f(x,y,z)=50, 100 and 150, and with  x=0..40 ,  y=0..40, z=0..40

 

I tried with plot3d but it is not possible.  How could I do with Maple 14?...

I have a problem changing a maple matrix to a matlab code without getting the error

Error, (in PrintTarget) assigning to a long list, please use Arrays ( I don't know how to use arrays ) thanks Big in advance

Here is my code:

> J[p1] := Matrix(3, 4, {(1, 1) = -sin(theta[1](t))*`&Delta;x`[1]-cos(theta[1](t))*`&Delta;z`[1], (1, 2) = 0, (1, 3) = 0, (1, 4) = 0, (2, 1) = cos(theta[1](t))*`&Delta;x`[1]-sin(theta[1](t))*`&Delta;z`[1], (2, 2...

I will use this post for a list of conclusions drawn from MRB constant N and the many similar approximations that I have found. 

Let x= MRB Constant.   Each approximation is followed by a maple input so you can verify these approximations. 

I tried solving the following equation but when i do i get

> solve((500*.87)*(1-(1/x)^.2385)-(288*(x^.3174-1))/(.85), x);


Warning, solutions may have been lost

Is it not possible to solve for highly nonlinear equations ?

Hola;

one short question:

 How to apply random permutations of data within an matrix.

<a,b,c;d,e,f> --Shuffle-->

Like many in the technology industry, I am a big fan of science fiction films and I’ve written in the past about how exciting it is for me to have a job where science fiction and reality literally meet. Over the past few months, several key projects from various Maple and MapleSim users caught my attention for various reasons and once again, I was forced to giggle publicly as the shear cool factor of these applications overcame my normal mature demeanor.

It was mentioned in the post that Maple can not solve some oscillatory integrals, mainly this one

int(cos(log(x)/x), x = 0 .. 1)

int(cos(log(x)/x), x = .001 .. 1) is okay

but we find that when we go from 0.0001 .. 1 Maple endlessly evaluates.  It seems as soon as we hit that 4th decimal there appears a problem. 

int(cos(log(x)/x), x = .00001 .. 0.0001) won't work either.  Oh, this is...

i want to use numerical technique to solve non linear ode.

are there some built in numerical techniques in maple13.?

kindly name few and there syntax.

i have seen that we can solve linear ode numerically. how can i check that what technique does maple use?

Dear all,

I have functions f(x,y) and g(x,y).

How can I plot the dependencies of f on g for different x and y?

If I had only f(x) and g(x), than I could use plot[parameric] like it's shown in Help page

plot([sin(t), cos(t), t=0..Pi]);

I would prefer 2D plot, if possible.

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