## Pattern to remove all products of two variables fr...

Asked by:

This came up in another language. I tried to solve it in Maple, but I am newbie so did not know how to.

The problem is to remove all products of  "a^n*b^m" that shows up in an expression, including any powers of "n,m". For example, given these three expressions

``````f0 := a^4+4*a^3*b +6*a^2*b^2+4*a*b^3+ b^4;
f1 := 3*(a*b -2*c);
f2 := (a*b -2*c)/(c - a*b);```Then applying the transformation needed, will result inf0:= a^4+b^4;f1:=-6*c;f2:=-2;Becuase the transformation will detect any a^n*b^m and simply replace this product by zero from the resulting expression. So "a*b^2 + 2" will become "2", and so on.I assume a function such as "patmatch"  or "match" is needed. I tried, but could not figure how. I also tried algsubs. How would this be coded in Maple?```

## conformal maps for image distortion...

Asked by:

I am interested in using conformal maps for image distortion. How can this be made in Maple (an analogy to the ImageForwardTransformation[] in Mathematica, see http://community.wolfram.com/groups/-/m/t/854405?p_p_auth=TLh6kMXL). Thanks!

## Defining the orientation of a body thanks to matri...

Asked by:

Hello,

Is it possible to define the orientation of a body with a matrix transformation ?

I have seen this option for the fixed frame but not for the rigid bodies.

I would like to define the rigid bodies thanks to transformation matrix so as to make some checking.

Thank you for your help.

## How to define components of the tensor...

Asked by:

Hello. Earlier, I asked about it, (see http://www.mapleprimes.com/questions/203573-How-To-Do-Simple-Operations-On-Tensors). However, not all I was able to understand. Below I will give a try, and maybe you'll show me where I'm wrong.

Also, I'm interested in how you can determine the components of the tensor in a different coordinate system connected with the original in any conversion. Thank for your help.

 (1)

 (2)

 (3)

 (4)

 (5)

 (6)

 (7)

 (8)

Download 1.mw

## distributive properties of sums....

Asked by:

How can I make transformations like:

sum(a*u[k]+b*v[k],k=1..n) into a*sum(u[k],k=1..n)+b*sum(v[k],k=1..n)

and in the opposite direction?

## Transformation with animation

by:

Transformation and
rotation.

transformation.mw

## Inverse Laplace Transformation...

Asked by:

Dear all,

I have a question, why is the output of the inverse Laplace transformation if the signal is multiplied by itself not just convoluted in time domain:

restart:
with(inttrans):
u0(s):=laplace(u0(t),t,s):
ul(s):=laplace(ul(t),t,s):

invlaplace(u0(s)*ul(s),s,t);
invlaplace(u0(s)*u0(s),s,t);

Thanks!

Asked by:

## The fourier transform...

Asked by:

Maple gives the fourier transformation:

fourier(int(y^k*exp(-k*x*y/phi+I*y*omega), y = 0 .. infinity), omega, t) as:

2*Pi*t^k*exp(-t*k*x/phi)*piecewise(t < 0, 0, 1)+piecewise(0 < t, -2*Pi*t^k*exp(-t*k*x/phi), 0)

but it is identically 0.

if change the order of integration and integate exp(I*y*omega) first, the transform is equal to

int(Dirac(y-t)*y^k*exp(-k*x*y/phi), y = 0 .. infinity)

which is Heaviside(t)*t^k*exp(-t*k*x/phi)

## How to transform equations...

Asked by:

With Maple I get the following result

For easier interpretation I would prefer the following, equivalent form:

I tryed a lot,...

## Easy readable format...

Asked by:

Hello every one,

I am using similarity transformation to transform a PDE into an ODE.

I got the ode but its in a very ambiguous (unclear) form.

I need help to have the ode in a more friendly reading format.

Thanks

pdetoodest.mw

## Change of Variable plot....

Asked by:

Heya,

I am trying to plot a graph in Maple on the (u,v) plane and I am struggling to work out how to do it.

Consider the change of variable

x=u^2-v^2                    y=2uv

Plot the lines in the (u,v) plane where x and y are constant.

If anybody could help  me in plotting this graph I would be very grateful.

Thanks.

 Page 1 of 1
﻿