Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Dear Forum

Lets say, I use the simplify function to process some expression and it returns x*x. On the paper, I find x^2. How can I use Maple to verify that x*x==x^2?

 

Thanks for any hints.

How can the ?DifferentialGeometry package be used to apply a vector (derivative) to a scalar?  I thought Hook might be used here, but I don't know that there is a way to express a scalar as a 0-form.  Consider

with(DifferentialGeometry):
DGsetup([x,y],E2):
Hook(D_x, x^2);
Error, (in DifferentialGeometry:-Hook) expected 2nd argument to be a differential form or bi-form. Received x^2

The variable A is a matrix in Maple. I need to show A, A^2, A^3, ....., A^19, A^20, and that i do by making a for loop:

for n to 20 do A^n end do

And it works and shows correct results.. 
But i want to show more than just the result of each step in the for loop. 
The result right now is without variable name etc. How can i show more than just the result ? ... 
I have changed the Typesettinglevel to extended.

Hello guys,

I am unfamiliar with maple and have problems with dsolve complex system:

dz*_i/dt=sum(sum(z_i-z_j),j=1..2),i=1..2).

where i not equal to j and z* is conjugate(z).

here is my code:

for i from 1 to 2 do

summ(i)=0

od;

for j from 1 to 2 do

for i from 1 to 2 do

if i <> j then

summ(i)=summ(i)+(z_j(t)-z_i(t));

end if

od;

od

for j from 1 to 2 do

Dear Forum

I'm trying to evaluate the following expression:

Int(Int(Int(N*exp(-alpha*r^2)*N*exp(-alpha*r^2)*r^2,r=0..infinity) *sin(t), t=0..Pi),p=0..2*Pi)

The value of the integral should equal 1 and from that the value of the normalization constant N can be obtained. It should equal sqrt...

ggg:=(y,a,b)->
(2*(-a+6*y^2*a^2+2*b*y^2*a^2+9*b*y^3*a+3*b*y^2*a+b*y^6*a^2+4*b*y^5*a^2+5*b*y^4*a^2+2*b*y^5*a+8*b*y^4*a+3*b*y^3*a^2+4*b*y^2-y^3*a-3*y^2*a+y^6*a^3+5*y^5*a^3+8*y^4*a^3+4*y^3*a^3+y^5*a^2+5*y^4*a^2+9*y^3*a^2+b*y^4+4*b*y^3+y*a^2+2*a*b*y+y^3*a*(y+1)^(-2*b)+a*(y+1)^(-2*b)+3*y^2*a*(y+1)^(-2*b)+3*y*a*(y+1)^(-2*b)-2*y^2*a^2*(y+1)^(-2*b)-y*a^2*(y+1)^(-2*b)-3*y*a-y^3*a^2*(y+1)^(-2*b))/(y^2*(a+b)*(y+1)*(y+2)^2*(y*a+1)^2)+(-2-y^2+2*y^2*a^2-2*y+4*b*y^3*a+8*b*y^2*a+2*b*y^4*a^2+4*b*y^3*a^2...

 Hi all,

I'm trying to use the geometry module. I tried the following code:

> with(geometry);
> point(A, xA, xB);
A
> point(B, xB, yB);
B
> line(AB, [A, B]);
line: One of the following conditions must be satisfied xA-xB <> 0 xB-yB <> 0
Error, (in geometry:-line) not enough information: the line is not defined

As you can see, maple is unable to create the line object since the two points can be the same....

calchas:~ sedoglavic$ maple
    |\^/|     Maple 14 (APPLE UNIVERSAL OSX)
._|\|   |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2010
 \  MAPLE  /  All rights reserved. Maple is a trademark of
 <____ ____>  Waterloo Maple Inc.
      |       Type ? for help.
> 264 ;
      ...

What is the total number of the nonnegative integer solutions of the system
{x+2*y+5*z-10^2012<=0, x+3*y+4*z-10^2012<=0}?
Edit. Bad copy and paste and  the tags.

What is the total number of the natural solutions of the equation
2*x+3*y+5*z+8*t-10^2012 = 0? How to find it with Maple?

Is there some way to shade in the region between the red and blue curves?

 

implicitplot([y = (1/5)*x^2+5, y = (1/20)*(x-5)*(x+3)*(x-10)+30, x = 2, x = 10], x = 0 .. 12, y = 0 .. 40, color = [red, blue, black, black], thickness = 3)

Hey

I have this spring setup:

spring setup

 

Now I wan't to analyse the motion of the springs, so i create this equations:

I am planning to buy a new graphics card to use the CUDA support of Maple. I have some questions:

 

1. I have two choices: A professional graphics card (PNY Quadro 600 1GB GDDR3) or a "normal" (or gamers') card (ASUS ENGTX480/2DI/1536MD5 1536 MB DDR5 384 Bit or MSI N570GTX-M2D12D5 GTX 570 1280 MB GDDR5 320 Bit). Which one would be more efficient for the Maple usage?

 

2. Are there any symbolic procedures that use the GPU in Maple (or...

As usual happens in symbolic calculations - small change of input parameters leads to drammatical change in consuptions. I had talk about many other partial issues in  this forum. Many other issues i just tried myself without any success (for example try convert(exp(x)+x, FormalPowerSeries)) and now i must take decision: wheather or not to continue work with maple at all. It's totally clear for me that others (like Wolfram mathematica) not much better. Only one other...

The domain of the function sqrt(16 - x^2) is -4 < (or equal to) x < (or equal to) 4, but how would I go about finding the domain in Maple? Thanks!

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