Hi! The following worksheet considers two methods for using given bases to find the change-of-coordinate matrices and coordinate vectors. One method uses matrix manipulation and the second uses the solving of systems of equations. The worksheet uses a Brief Review to describe both processes and the examples are used to show you how to use both processes as well as to illustrate how they are related.

Hi!

This worksheet contains three examples that show you how to:

 

• Obtain the quadratic form
• Obtain the matrix of quadratic form
• Diagonalize the quadratic form to transform it into a

I am currently trying to plot some geodesics with maple, in order to do this I'm trying to get Maple to give me an expression for dr/dy (y here is actually a radial variable) from my equation system which is given by

sys := [diff(y(x), x) = sqrt((1-(diff(r(x), x))^2)/(r(x)^4+r(x)^2)), diff(r(x), x) = sqrt((2+1/r(x)^4-1/r(x)^2)/(1/r(x)^4-1)^2)]

Can anyone help me with this?

Hello everybody, I am using Nelder Mead for an optimization problem. The algorithmus I found in the Maple library is for minimization. Does anybody know how to change the algorithmus that I can also use it for a maximation problem? Thank a lot in advance!

Hi there,

I am got the two two ( identical ? ) summation .

f:=x->1;

b[n]:=2/Pi*int(f(x)*sin(n*x),x=0..Pi);

S:= N-> sum(b[n]*sin(n*x),n=1..N) ;

T:= N-> 4/Pi*sum(sin((2*n-1)*x)/(2*n-1),n=1..N);

I think S and T should be the same since it's just a substition of 2n-1 difference

however when I plot

 

i'm totally new with Maple so i really need help with this problem

graph the fucntion using various domains and viewpoints. plot some contour lines of the same function and compare with the graph.

f(x,y) = x*y^2 - x^3

thanks

Hi everybody, I datas for 2 variables X and Y. Each of them contains round about 1000 values. I want to sort the values of x and y and put them in a 3d histogram. Has anybody an idea how to do it?

  I been trying to run a maple loop recently where maple computes the values of r,theta,phi for spherical coordinates from some fsolve statements. However I have found this to take an extremely long time (days). What I want is for it to make rows of these and then output them to a file so that I have rows of r,theta and phi for several hundred thousand of them atleast. Currently I simply create a n by 3 array with however many entries my loop has and then fill each position in the array using for loops then I use writedata to write the entire array into a file.

Hi there,

 

I have computed the odd extension for f(x)=1 on 0 < x < Pi which is

> 4/Pi*Sum((sin(2*n-1)*x)/(2*n-1),n=1..infity);

 

how do I get a sketch of it?

 

Thanks

Dear Maple users,

How may I enter in MAPLE the function

f(x,y) = x*y /(x^2+y^2)  IF  (x,y) different from (0,0), and

f(x,y) = 0  IF  (x,y) =(0,0) ?

Thanks in advance for any help.

Jean-Jacques

Can someone explain how to do this?

Prove that if we describe the circle of center (a; b) and radius r using
the parameters (a; b; k), with k = a2+b2-r2, rather than the more natural parameters
(a; b; r), then the error function H(a; b; k) = E(a, b,rad(a^2 + b^2 -k) is quadratic in a; b
and k. What does this imply about the number of critical points?

Hi there, I calculated an Integral today, and earned a term with B(2/3,5/3) in the result: > f(x):=(1-x^(3/(2)))^(2/(3)); > 2*Pi*(int(f(x), x = 0 .. 1)); what does it mean??

Hi there,

I typed exactly the same thing from my lecture notes to reproduce some graphs in Maple Classical Worksheet

however result in 'empty plots'

Is it that I have to load some packages using 'with( XXX )'?
 

Can someone help me with that?

 

Thanks

 

Download 7845_Coursework Maple.mws
View file details

 

Hi, assume  i have some data and want to fit a model function to it (Maple12). The help pages show a way:

with(Statistics):
X := Vector([1, 2, 3, 4, 5, 6], datatype=float):
Y := Vector([2, 3, 4.8, 10.2, 15.6, 30.9], datatype=float):

f:=a+b*exp(c*t);

Fit(f, X, Y, t);

It works as expected. Now assume that the model function is not explicitly given,  it may be just the solution of a  differential equation:

f:=diff(y(t),t)+u*y(t)=v; y(0)=0

K heres my problem.

Say i have a function, for example y=(1-x) and i want to find out which values of x will give me a real answer (i.e. no complex numbers!)

Preferrable i would like the output to be something along the lines of... "y is real for a<x<b..."