Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

 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!

Maybe many questions on forum because method is not universal. What about this one:

JA1S := (2*sqrt(2*y+3)*y+3*sqrt(2*y+3)-3*sqrt(3))/((2*y+3)^(3/2)*y);

 

simplify(JA1S, power, radical, symbolic); - nothing

combine(JA1S, power, radical, symbolic); - nothing

 

Moreover, can i somehow also reduce by y?

I would like to know how does Maple evaluate a geometric functions with evalf.

e.g.

evalf(sin(Pi/12));

                          0.2588190451

What method is used? I think about Taylor approximation, is it good idea? If not, I need to compare it with Taylor approximation.

GAL := 3*sqrt(6)/((2*x^2+3)*sqrt(4*x^2+6));

simplify(GAL) and combine(GAL,power)

have same result.

How to make them return

3*sqrt(3)/(2*x^2+3)^(3/2) ?

I'm trying to set up a "while" loop involving Newton's Method without using the Newton command. I'm leaving something out since the loop values aren't changing. This is what I have so far:

 

Error:=1;

x:='x';

DesiredError:=1.10^-30; (this is my error tolerance)

x_(1):=1.5; (this is my initial guess)

for n from 1 to 20 while (Error>DesiredError) do

 x_(n+1)=x_(n)-(p(x_(n))/p'(x_(n))):

 evalf(%):

hey all,

does somebody know how to make a relay with hysteresis? like this :http://en.wikipedia.org/wiki/Preisach_model_of_hysteresis

you somehow have to know from which side x is comming from, memory?

i've someting in a piecewise format, but de hysteresis is not working, becaus i don't know how to detect where x is comming from (from the right or the left)

 

 

I want to write this down in the maple:

V is a vector field namely(in cartesian coordinates) V:=VectorField(<u(x,y,z),v(x,y,z),w(x,y,z)>)

Now I want to make a vector like this:

(V.Del)V

which if write into components will be:

u*(diff(u, x))+v*(diff(u, y))+w*(diff(u, z))

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