MaplePrimes Questions

Hi all,

I will use the following dummy example.

with function,f

f:=(xid,yid)->sum(x[i],i=1..xid)*sum(y[i],i=1..yid);

 

and a complicated term, myterm


myterm:=(f(3,4)+f(2,2))*f(1,1):
myterm:=expand(myterm);

 

'if' i have some previous knowledge, or know a bit of the term, i can find the structure by doing this


repar:=[f(1,1),f(2,2),f(3,4)];  # Or with more f(xid,yid) terms

tmp:=seq(repar[i]=ff[i],i=1..3);
simplify(myterm,{tmp});          # This is fine, gives me what i want

 

But, can we go further, and more 'obvious'

 

Given the fucntion f, same as before, and the same 'myterm'

can I have this
restart:
iwant:=(f(3,4)+f(2,2))*f(1,1);  # as a result, straightforward

so I dont have to go back to 'repar' and find that the terms exactly are.

 

Thanks,

 


restart; printf("Factory Simulation: %s\n\n", Ghana*Chocolates); printf("Chocolate Factory Simulation Project .\n\n"); printf("%5a  %10a  %10a  %10a  %10a  %10a   \n", W, O(t, t+1), B(t), T(t), F(t), R(t)); printf(" ---------------------------------------------------------------------------\n"); _local(T, R, F, B, O, Q); initialise := proc (n) local i, t, a; T := proc (t) options operator, arrow; 250 end proc; R := proc (t) options operator, arrow; 150 end proc; F := proc (t) options operator, arrow; 250 end proc; B := proc (t) options operator, arrow; 50 end proc; for i to n do t := i; if B(t) < F(t) then Ds(t, t+1) := B(t) else Ds(t, t+1) := F(t) end if; M(t, t+1) := 50; O(t, t+1) := 50; P(t, t+1) := 50; if t = 2 then O(t, t+1) := 100 elif t = 3 then O(t, t+1) := 0 end if; P(t, t+1) := T(t)-F(t)+Ds(t, t+1); if R(t) < P(t, t+1) then P(t, t+1) := R(t) elif R(t) < 0 then P(t, t+1) := 0 end if; R(t+1) := R(t)+M(t, t+1)-P(t, t+1); F(t+1) := F(t)+P(t, t+1)-Ds(t, t+1); B(t+1) := B(t)+O(t, t+1)-Ds(t, t+1); R(t) := R(t+1); F(t) := F(t+1); B(t) := B(t+1); for a to t do Q(t, t+1) := O(t, t+1)+O(t-t+a, t-t+a+1) end do; T(t+1) := (t+1)*Q(t, t+1)/t; printf("%5a  %10a  %10a  %10a  %10a  %10a   \n", i, evalf[3](O(t, t+1)), evalf[3](B(t)), evalf[3](T(t)), evalf[3](F(t)), evalf[3](R(t))) end do; printf(" ---------------------------------------------------------------------------\n\n\n"); Restart; printf("%5a  %10a  %10a  %10a     \n", W, M(t, t+1), P(t, t+1), Ds(t, t+1)); printf(" ---------------------------------------------------------------------------\n") end proc; initialise(10)

    1         50.         50.        250.        250.        150.   
    2        100.        100.        200.        200.        200.   
    3          0.          0.        300.        300.         50.   
    4         50.         50.          0.          0.        400.   
    5         50.        100.        125.        125.        325.   
    6         50.         50.        120.        120.        280.   
    7         50.         50.        117.        117.        283.   
    8         50.         50.        114.        114.        286.   
    9         50.         50.        112.        112.        288.   
   10         50.         50.        111.        111.        289.   
 ---------------------------------------------------------------------------


    W          50      875/18          50     
 ---------------------------------------------------------------------------

 

NULL

NULL


Download suppress_warnins.mw

Hi All,

 

I need to suppress the warning messages when i try to pring my Table. Any help will be much apreciated.

 

Regards,

Xcyborg

I’m trying to figure out how to find a basis for a subspace, V, of Rdefined by V = {(x, y, z)l(2x-3y+6z=0)}

 

I’m using the student linear algebra module for maple 17

 

I’ve tried defining the subspace and asking for the basis of V but I always get an error code.

 

I’ve tried consulting the maple website and looking through their help menu, but can’t find anything that answers how to find a basis... At least a basis from the subspace defined in my problem.

I know how to find a basis for the subspace by hand but not with maple.

Any help will be greatly appreciated. 

(1/2)*(-x-y+sqrt(-3*x^2-6*x*y-3*y^2))/(x+y)

 

the complex value is always a constant whatever x and y 

i suspected that this is a wrong function

Hello ,

2014_PDE_project.mw

I was using maple as a documentation software and was preparing some notes for my exam. 

The file now opens but most of the content is gone. Even the one which was properly saved.

I see Joe Riel 5676 has solved an earlier case like this. could somebody look at this and correct the file and upload it again please.

Hello: I'm looking over the Help section but I can not find a Maple package that has a command to compute the symmetric sum or the cyclic sum. I just started working with inequalities. Please could anyone recommend a package that allows me to compute expressions related to Muirhead's Inequality (see part 2 of  the answer:  http://math.stackexchange.com/questions/488967/majorization-muirhead)

I want to introduce a matrix of order M by M as for any m, M, pl help as show in file

 

Help.mw

 

 

Dear all;

Please I have maybe a simple question. I need to point these nodes in R^3 using Maple. Thanks for your help.

Tab := [[0, 0, 0], [1/5, 0, 0], [2/5, 0, 0], [0, 1/5, 0], [1/5, 1/5, 0], [2/5, 1/5, 0], [0, 2/5, 0], [1/5, 2/5, 0], [2/5, 2/5, 0], [0, 0, 1/5], [1/5, 0, 1/5], [2/5, 0, 1/5], [0, 1/5, 1/5], [1/5, 1/5, 1/5], [2/5, 1/5, 1/5], [0, 2/5, 1/5], [1/5, 2/5, 1/5], [2/5, 2/5, 1/5], [0, 0, 2/5], [1/5, 0, 2/5], [2/5, 0, 2/5], [0, 1/5, 2/5], [1/5, 1/5, 2/5], [2/5, 1/5, 2/5], [0, 2/5, 2/5], [1/5, 2/5, 2/5], [2/5, 2/5, 2/5]]

This table contains some point of R^3. How can I put these point.

Hi All,

I have a stupid question.

I wanted to distinguish the fuction of map and Map and tried some test.

Sometimes, the Map is identical to the map:

But sometimes not:

 


Maple Help seems not to explain the difference very clearly.

map_and_Map.mw

I'd appreciate any help on this topic. Thank a lot.

Dear all,

Please help in this question.

 

Using   I want to plot in R^3, the set of point u[i,j]^k . This point has as cordinate  (x[i],y[j],t[k]).

x := i -> (1/5)*i;  #  x[i] the x-coordinate
y := j -> (1/5)*j; # y[j] the y-coordinate
t := k -> (1/5)*k;  #  t[k] the t-coordinate

The name of point is u[i,j]^k

How can I  plot all the point.


 with(geom3d):

point(u[i,j]^k, x(i),y(j),t(k));

 

Thank you.

 

 

Hi all

Assume that we have the following colomn vector:

and we want to construct the following matrix:

How can we do this with maple????

Note that r is a variable and the dimension of matrix depend on r.

regards

Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department

Dear all;

 

I need a help in this question.

u(x,y,t) my solution of PDE. x,y space, and t=time.

In the case without t. .i.e. u(x,y). Here is a visualization of the lattice u(x_i,y_j). i=1..3, anf j=1..3.  Please try this example, it's working. 

my question, if i would like to add a third variable t, i.e.  and get u(x_i,y_j,t_k)  on each points. I would like to show the lattice in (x,y) plan for each t_k. I Think I will get many parallel lattice. 

Please can some one, modify this code to get the parallel lattice. Thanks.


with(LinearAlgebra):
with(plots):
with(PDEtools):
interface(rtablesize=20):

Here,


L := 'L':
N := 'N':
g := 'g':
Z := i -> -L+2*L/(N+1)*i;
x[0] = Z(0),x[N+1] = Z(N+1),y[0] = Z(0),y[N+1] = Z(N+1);

 

N := 4;
L := 1;
r := L/(N+1)/4;
ngon := (n,x,y,r,phi) -> [seq([x+r*cos(2*Pi*i/n+phi), y+r*sin(2*Pi*i/n+phi)], i = 1 .. n)]:
p[1] := display([seq(polygonplot(ngon(4,Z(0),Z(j),r,Pi/2),color=magenta),j=0..N+1),

seq(polygonplot(ngon(4,Z(N+1),Z(j),r,Pi/2),color=magenta),j=0..N+1),

seq(polygonplot(ngon(4,Z(i),Z(0),r,0),color=magenta),i=1..N),

seq(polygonplot(ngon(4,Z(i),Z(N+1),r,0),color=magenta),i=1..N),

seq(seq(polygonplot(ngon(20,Z(i),Z(j),r,0),color=white),i=1..N),j=1..N),

textplot([seq(seq([Z(i+0.1),Z(j),typeset(u[i,j])],i=0..N+1),j=0..N+1)],align={above,right})],view=[Z(-1)..Z(N+2),Z(-1)..Z(N+2)],tickmarks=[[seq(Z(i)=typeset(x[i]=evalf[2](Z(i))),i=0..N+1)],[seq(Z(i)=typeset(y[i]=evalf[2](Z(i))),i=0..N+1)]],

axes=boxed,scaling=constrained,labels=[``,``]):
p[1];

 

 

 

 

 

 

Hi All,

I used the command map to apply a procedure to elements of a array like this:

 

Why did I get the null array "[]"?

A vector was also used and got the similar result: 

 

I'd appreciate any help on this topic. Thank a lot.

i want to find initial condition for F(0),G(0), H(0) and thetap(0) which is are missing in this problem.. then i facing this error Error, (in dsolve/numeric/bvp) Newton iteration is not converging



Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/hydronew2.mw .

Download hydronew2.mw

Recently I started to learn to use maplesim. I wanted to set up a feedback system which is used to control the speed of DC motor. I don't know how to build it. Please give me some advice. I really appreciate your help.

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