Good afternoon everbody,

I am trying to make a rational interpolation from the data of a function (values of the function for different points).
I tried to do it with the RationalInterpolation command but it requires too much time. Then I chose to solve the problem with the NonlinearFit command but the result varies a lot if I a change the basic function I want to approach and I always get a warning message: limiting numer of iterations reached.

 d^2(x)/d(t^2) + sin(x)=0  (1)

d^2(x)/d(t^2) + x = 0 (2)

d^2(x)/d(t^2) + ( x - (x)^3/6) = 0 (3)

1) Compare the results of numerical simulations of (1), (2), (3) to see how closely the period of the periodic orbits relate.

a) Perform a phase portrait ( (x)'(t) vs. x ) analysis for (1), (2), and (3).

b) Consider the initial conditions x(0)= x₀ and x'(0)=0. For what intervals of x₀ do the periodic orbits of (2...

Hi everybody. Firstly, i apologize for my poor level of english. I am a new maple user and i want to solve the following system, but I face some difficulties. I go through forum, FAQ, courses notes on the net and so on but I don't find the solution. 

I first define the folowing equations:

I was working with the computation of the eigenvectors of a 3X3 symmetric matrix with algebraic entries and Maple 17 doesn´t give me an answer after a long time, even with CUDA activated. You can see this by the commands below:

http://www.mapleprimes.com/questions/144384-Polynomials-Not-In-The-Correct-Indeterminates

above link's comment said eliminate will NOT generate a polynomial in all cases

make me think that eliminate in above link can not return correct one.

what is the correct way to convert groebner basis of kernel into kernel?

I sometimes like to work with worksheets in classic mode. However, I have just discovered that I cannot simply type "restart;" in the beginning of a worksheet in classic mode because it causes the worksheet window to freeze. However, if I click the "restart" button, then things go as normal. I really want to have each of my worksheets begin with the "restart;"  command. Need your assistant on a way out.

I use 64-bit windows 7 CORE i3 Dell Inspiron N4050.

having its diameter equal to three and its number of vertices equal to 32? Is it possible to find the one with Maple? The simpleminded approach
>with(GraphTheory):
>with(RandomGraphs):
> G := RandomRegularGraph(32, 4);
> Diameter(G);
produces 4 or 5.
What I know is http://www-ma4.upc.es/~comellas/delta-d/desc_g/desc_g3.html ( the second graph).

I mean not open these files, and ctrl+A select whole file and copy to one file.

I have been trying to find a solution to the following equation for ages! 

Vt:=(a*t)+((1/(2*Pi))*((b*cos(2*Pi*t))-(c*sin(2*Pi*t))-b)-295);

I need to find what t converges to, I have solved the equation using a different method and I know the answer is around 0.787 but I need to find the result using the Newton Raphson method, or another iterative method. I am not allowed to use dsolve. or the Newton command.

Dear All,

I am trying to find the exact amplitude and phase angle for the signal, with values attached using MATLAB.  BUT the phase angles doesn't make sense.  Can you guys help me in doing the FFT of the signal and find the amplitude and phase using MAPLE.   I am interested in,  fundamental component, 5th , 7th , 11th, 13th 15th, 17th and 19th harmonics with their phases.

I shall be very thankful if anyone of you can actually solve the problem.

below code is calculate basis of kernel and kernel

i guess basis of image is 

remove(has, Ga, [r,u,v,w]); if this correct, i eliminate this, i can get the image

however it include variable 'a'

is it correct? if not, how to calculate? 

my final goal is to make unexact sequence into exact sequence

after union ideal I and J, how to remove the intersection of I and J in order to do primedecomposition?

I have a Matrix 'A' in maple with symbolic entries and I need to use that Matrix in matlab M file. The symbols with in 'A' are already initialized in M file.

How is this possible?

For Matrices 'A' of small dimension, I can use the codegeneration package to convert 'A' to Matlab Matrix and then copy paste.

But for matrices of 1000x1000, lets say, does not seem as a option.

r-x^4
u-(x^3)*y
v-x*y^3
w-y^4

Step 1
with(Groebner):
K := {r-x^4,u-(x^3)*y,v-x*y^3,w-y^4};
G := Basis(K, 'tord', degrevlex(r,u,v,w));

Step 2
G intersect k[r,u,v,w]

G2 := Basis({w*G[1],w*G[2],w*G[3],w*G[4],w*G[5],w*G[6],w*G[7],w*G[8],w*G[9],w*G[10],w*G[11],w*G[12],w*G[13],w*G[14], (1-w)*K[1], (1-w)*K[2], (1-w)*K[3], (1-w)*K[4]}, 'tord', degrevlex(r,u,v,w));

G2 has too much though include the correct solution

correct solution...

3*rho1 - 2*rho2 + rho3 - rho4 = -1

4*rho1 +   rho2 - rho3        = 5

original without cost function:

with(Groebner):
K := {y1-(x1^3)*(x2^4),y2-(x2^(1+2))*(w^2),y3-(x1^(1+1))*(w^1),y4-(x2^1)*w,(y1^1000)*(y2^1)*(y3^1)*(y4^100)- x1*x2*w + 1};
G := Basis(K, plex(x1, x2, w, y1, y2, y3, y4));
Reduce((x2^(5+1))*(w^1), G, plex(x1, x2, w, y1, y2, y3, y4));

after have cost function 1000*rho1 + rho2...