Hi,

I have a file with arbitrary points which I want to connect with a surface. I have seen similar problems on this site but I can't fix my problem with the answers that are given, mainly because my points are just plain vectors. Can anybody help me? 
These are my points/vectors:

v1 := `<,>`(15, 6, 14.89);
v2 := `<,>`(15, 8, 14.72);
v3 := `<,>`(15, 10, 14.79);
v4 := `<,>`(15, 12, 14.95);
v5 := `<,>`(15, 14, 15.17);
v6 := `<,>`(15, 16, 15.43);
w1 := `<,>`(15/2, 4, 9.78);
w2 := `<,>`(15/2, 6, 9.95);
w3 := `<,>`(15/2, 8, 9.85); 
x1 := `<,>`(15*(1/3), 4, 8.71);
x2 := `<,>`(15*(1/3), 6, 8.44);
y1 := `<,>`(15/4, 4, 8.31); 

I can only plot the different points with 

with(plots);
pointplot3d({v1, v2, v3, v4, v5, v6, w1, w2, w3, x1, x2, y1}, scaling = CONSTRAINED, symbolsize = 20, color = red, axes = normal, labels = ["L/h", "n", "kg/m"]);

I hope someone can help me!

Hello,

I am trying to solve the equation (non-linear) with one variable t2 (please see bellow):

(35595.29412*(52040.0-2400.0*t2))*(11-t2)*exp(ln(-360.0*t2+29600.0)-(0.9803921570e-5*(-360.0*t2+59200.0))*t2)*exp(ln(52040.0-2400.0*t2)-8.804313725+.5176470590*t2)*(360000*(exp(ln(-360.0*t2+29600.0)-(0.9803921570e-5*(-360.0*t2+59200.0))*t2))^2+(620*(-360.0*t2+29600.0))*(1200*exp(ln(-360.0*t2+29600.0)-(0.9803921570e-5*(-360.0*t2+59200.0))*t2)-2.232000*10^5*t2+1.83520000*10^7))*exp(ln(-360.0*t2+29600.0)-(0.9803921570e-5*(-2760.0*t2+59200.0))*t2)/(360000*exp(ln(52040.0-2400.0*t2)-8.804313725+.5176470590*t2)*(exp(ln(-360.0*t2+29600.0)-(0.9803921570e-5*(-360.0*t2+59200.0))*t2))^2+(372000*((52040.0-2400.0*t2)*exp(ln(-360.0*t2+29600.0)-(0.9803921570e-5*(-2760.0*t2+59200.0))*t2)+(-360.0*t2+29600.0)*exp(ln(52040.0-2400.0*t2)-8.804313725+.5176470590*t2)))*exp(ln(-360.0*t2+29600.0)-(0.9803921570e-5*(-360.0*t2+59200.0))*t2)+(384400*(52040.0-2400.0*t2))*(-360.0*t2+29600.0)*exp(ln(-360.0*t2+29600.0)-(0.9803921570e-5*(-2760.0*t2+59200.0))*t2))^2 = 1/150

During evaluation of the solve command I received a warning that solutions may have been lost. How can I overcome this problem? Also, I need that t2>0.

Thanks in advance,

Dmitry 

I want to create a NxN circulant matrix of a system with fixed boundaries. This is an idea of what I'm trying to do (but it doesn't work):

> N := 8;

> A := Matrix(N, shape = Circulant[[2, VectorCalculus[`-`](1), ZeroVector[row](VectorCalculus[`+`](N, VectorCalculus[`-`](3))), VectorCalculus[`-`](1)]]);

>A[1,N]:=0;

>A[N,1]:=0;

In other words, I want to make a circulant matrix of the elements 2, -1, 0, 0, ..., -1 (with N-3 zeros). Then I want to set the top right and bottom left elements to zero (that's the fixed boundary portion). The first command almost works for N=4 -- except with extra square brackets in the matrix -- but doesn't work for N=8 or 16 (N is always a power of 2). The second and third commands seem to be bad syntax (I haven't really tried to figure them out yet).

i will convert matlab code to maple please help me

clc
clc
clear all
E1=181*10^9;
E2=10.30*10^9;
G12=7.17*10^9;
nu_12=0.28;
nu_21=(nu_12*E2)/E1;
fprintf('Please enter a numerical value for Total Height.')
htotal=input('htotal=');
fprintf('Number of entries for ply orientations should equal the number of entries for aspect ratios .','Please enter values separated by spaces in [].')
O(1,:)=input('ORIENTATION=');
fprintf('Please enter values separated by spaces in [] for the Independent Ply Aspect Ratios(=Thickness of each ply/Total Height).')
AR=input('ASPECT-RATIO=');
[ARrows,ARcols] = size(AR(1,:));
[orows,ocols] = size(O(1,:));
if ocols~=ARcols
fprintf('Check Number of Independent Ply Orientation and Aspect Ratio.')
end
plycount = ocols;
k=0;
sumAR = sum(AR);
H = htotal*(AR/sumAR)
% Define matrix with ply orientations as row one and corresponding height
% as row two for beter display
OHmatrix = [O;H]
Z=zeros(1,plycount+1);
hindex = -(htotal)/2 ;
for i=1:plycount+1
if i==1
Z(:,i) = hindex;
else
Z(:,i) = Z(:,i-1)+ H(i-1);
end
end
s11=1/E1;
s12=-nu_12/E1;
s16=0;
s21=s12;
s22=1/E2;
s26=0;
s61=s16;
s62=s26;
s66=1/G12;
S=[s11 s12 s16;s21 s22 s26;s61 s62 s66];
Q11 = E1/(1- nu_12*nu_21);
Q22 = E2/(1- nu_12*nu_21);
Q12 = (nu_21*E1)/(1- nu_12*nu_21);
Q66 = G12;
% note that Q21 = Q12
Qp = [ Q11, Q12 , 0 ;Q12, Q22 , 0 ;0 , 0 , Q66 ];
% Intializing ABD as a 3x3 zero matrix
A = zeros(3,3) ;
B = zeros(3,3) ;
D = zeros(3,3) ;
% Calculating the A, B, D Matrices for each ply
Qp(3,3) = Qp(3,3)*2 ;
for l = 1 : plycount
thetar = (O(l)/180)*pi;
% define "m" and "n" as
m = cos(thetar);
n = sin(thetar);
% 2D Transformation matrix T :
T = [m^2 , n^2 , 2*m*n ;n^2 , m^2 , -2*m*n ;-m*n , m*n , m^2 - n^2 ];
% Correcting for engineering strain-true strain
Q = T\Qp*T ;
Q(:,3) = Q(:,3)*.5 ;
l
Q
for i=1:3
for j=1:3
A(i,j)= A(i,j) + (Q(i,j))*( Z(l+1) - Z(l) );
B(i,j)= B(i,j) + 0.5* ((Q(i,j))*( (Z(l+1))^2 - (Z(l))^2 ));
D(i,j)= D(i,j) + (1/3)*((Q(i,j))*( (Z(l+1))^3 - (Z(l))^3 ));
end
end
for i=1:3
for j=1:3
if abs(A(i,j))< 1.0e-4
A(i,j) = 0;
end
if abs(B(i,j))< 1.0e-4
B(i,j) = 0;
end
if abs(D(i,j))< 1.0e-4
D(i,j) = 0;
end
end
end
end
%Finding AB-BD matrix and its inverse
ABDmatrix = [A B ; B D];
A = ABDmatrix(1:3, 1:3)
B = ABDmatrix(1:3, 4:6)
D = ABDmatrix(4:6, 4:6)

Hi;

I've written a Maple's procedure but when I execute it some warning messages have been displayed as follows:

read "My_Proc.mpl":
Warning, `L` is implicitly declared local to procedure `My_Proc`
Warning, `P` is implicitly declared local to procedure `My_Proc`
Warning, `V` is implicitly declared local to procedure `My_Proc`

So, how can I get rid of such warnings?
Thanks in advance.

I wish to  plot 2D animate for the soltion of this equation here is the code

restart;
with(PDEtools):
with(ArrayTools):
with(plots):

f:=u->sech(u):
g:=v->sech(v):
h:=1/10:
N:=20:
M:=20:
V:=x->x^2:
psi:=Array(0..N/h+1,0..M/h+1):
for i from 0 to N/h do
psi[i,0]:=evalf(f(i*h)):
od:
for j from 0 to M/h do
psi[0,j]:=evalf(g(j*h)):
od:
for i from 1 to N/h do
for j from 1 to M/h do
psi[i,j]:=-psi[i-1, j-1]+(1-(1/8)*h^2*V((1/2)*h*(j-i-1)))*psi[i, j-1]+(1-(1/8)*h^2*V((1/2)*h*(j- i+1)))*psi[i-1,j]:
od:
od:
ls:=[seq([seq([i*h,j*h,psi[i,j]],i=0..N/h)],j=0..M/h)]:

surfdata((ls),axes=boxed,labels=[`u`,`v`,`psi(u,v)`],shading=zhue,style=patchcontour);

Group Theory,

Given a Group G and a normal Subgroup H.

I can get " map(Representative,RightCosets(H,G)) ".

Is ist possible to get the factor group  G/N ?

Best regards

Kurt Ewald

Hey, 

I am trying to write a single procedure to find the root of any function using the Newton-Raphson method, given the initial approximation and the tolerance. If this fails to converge, the program must then use the Bisection method to find the root. Need some help please. The current procedure i have done is only coming out with the first Iteration 

Thanks for the help!

hi dears. i cant solve this question by Analytical method such variational itteration method (VIM) or homotopy perturbation method (HPM), homotopy analysis method(HAM)

Hello;

Suppose we have a vector as follows:

Plex:=[u,v,w,x,y,z]

Could anyone help me to reproduce the following vectors via a "for" loop?

[ v, u, w, x, y, z]

 [ w, v, u, x, y, z]

 [ x, w, v, u, y, z]

 [ y, x, w, v, u, z]

I have a simple Matlab script which can do what I intend. So, my question is how can I implement this script in Maple?

Plex=[u,v,w,x,y,z]

for i=2:5

    Plex=[Plex(i) Plex];

    Plex(i+1)=[];

    disp(Plex)

end

Thanks in advance.

how to singularize existing function?

any group theory can describe the singularity function?

Good day, please how can one solve these BVPs using FINITE DIFFERENCE METHOD in maple. Here is the problem FDM.mw

Hi;

Could anyone help me to convert the following codes into Mpale?

while n>= 1
    for i=1:n
        S(i)=resultant(F(i), F(i+1), Plex(i));
    end
    F(i)=S(i);
    n=n-1;
end

Thanks in advance.

Hello! I have written a code to solve 1D heat equation with Neumann B.C. using explicit method. But there is a problem with plot. I don't understant, what's wrong. Help me, please. I will be very grateful. The code is attached here.
pr3.mw
11.pdf

Hello,

I am writing a program in C that uses the open maple library. It is not the first time that I use it but now I am facing a strange problem that involves the simplify command: suppose a,x,y are symbols that are not previously used in maple, the following lines

1)  EvalMapleStatement(kv, "simplify((a*x^2-y^2)/(x^2*y^2-1));");

2)  EvalMapleStatement(kv, "simplify((2*x^2-y^2)/(x^2*y^2-1));");

only differ by the fact that the parameter a is replaced by 2 in the second line. But they return the following output:

1) (a*x^2-y^2)/(x^2*y^2-1)

that is correct, nothing to simplify..

2) Error, (in gcd/LinZip) input must be polynomials over the integers

I must be doing something wrong but I am getting nowhere...

Thanks...

P.S. This is the complete listing 

#include <stdio.h>

#include <stdlib.h>

#include "maplec.h"

static void M_DECL textCallBack( void *data, int tag, char *output )

{

    printf("%s\n",output);

}

int main( int argc, char *argv[] )

{

    char err[2048];  /* command input and error string buffers */

    MKernelVector kv;  /* Maple kernel handle */

    MCallBackVectorDesc cb = {  textCallBack,

                                0,   /* errorCallBack not used */

                                0,   /* statusCallBack not used */

                                0,   /* readLineCallBack not used */

                                0,   /* redirectCallBack not used */

                                0,   /* streamCallBack not used */

                                0,   /* queryInterrupt not used */

                                0    /* callBackCallBack not used */

                            };

    ALGEB r, l;  /* Maple data-structures */

        char *myargv[]={"maple"};

        int myargc=1;

    if( (kv=StartMaple(myargc,myargv,&cb,NULL,NULL,err)) == NULL ) {

        printf("Fatal error, %s\n",err);

        return( 1 );

    }

EvalMapleStatement(kv, "simplify((a*x^2-y^2)/(x^2*y^2-1));");

EvalMapleStatement(kv, "simplify((2*x^2-y^2)/(x^2*y^2-1));");

    StopMaple(kv);

    return( 0 );

}

compiled with

gcc prova.c -I /Library/Frameworks/Maple.framework/Versions/Current/extern/include/ -L /Library/Frameworks/Maple.framework/Versions/Current/bin.APPLE_UNIVERSAL_OSX/ -l maplec