MaplePrimes Questions

I have a set of functions and parameters, I am computing Jacobian to those functions. I get a matrix rectangular in dimensions. So, determine Jacobian of sub-matrices(formed by removing one column for each sub-matrix) and equating them to zero.

> T := Matrix([[0], [4*t], [0]]); X := Matrix([[x1], [x2], [x3]]); R := Matrix([[1, 0, 0], [0, cos(pi*t), -sin(pi*t)], [0, sin(pi*t), cos(pi*t)]]);

> c1 := x1^2+x2^2-1/4-(1/4)*sin(l1); c2 := x3-sin(l2); c3 := t-1/2-(1/2)*sin(l3);>

Hi e-friends,

I want to minimize a function subject to a set of S restrictions.

The restrictions are related to matrices V, W, X and Y:

 

V = [v1, .., vS]  order L x S

W = [w1, .., wS] order L x S

 

X = [x1, .., xS]  order LxS

Y = [y11,.. yS] order L x S

 

How may I write in MAPLE in compact form  the following S inequalities (for any arbitrary integers L and S)?. ...

In the help, a structure block diagram is given under the DynamicSystems[SystemConnect] command for the explaination of the use for the general connection,

that's intuitive and gives clear connections among every structure block,

so, I wonder whether there is a method to build that diagram or similar fig using the GraphTheory package,

that will be amazing,

is there a method? I want to know how to get it.

What it is wrong with this one-line-document:

 

with(Optimization): nx := Maximize(e^x, {x <= 1.})

 

that give this answer:

 

[9.99990000000000000*10^19, [e = 9.99990000000000000*10^19, x = 1.]]

this is the model of my laptop : Sony VAIO VGN-FE590P
http://www.computercrowd.com/Itm160503097051_177_Sony_VAIO_VGN-FE590P.aspx
http://esupport.sony.com/US/perl/swu-list.pl?mdl=VGNFE590P

I am going to work with maple 14 on it ,
please check its hardware details !
and tell me usually a laptop with this condition ...

Let X=(0,∞) x R and y=>g(y) be a given function. Find the solution:

(x,y)==>u(x,y)

To the initial value problem

(-x-y)ux(x,y)-(y)uy(x,y)+u(x,y)=0 for all (x,y)belonging to X

subject to u(0,y)=g(y).

 

I keep getting stuck; Any help would be amazing!

here is a matrix

A := Matrix(2, 2, {(1, 1) = ((1/2)*I)*E[0]*d[ba]/`&hbar;`, (1, 2) = -((1/2)*I)*delta, (2, 1) = ((1/2)*I)*delta, (2, 2) = ((1/2)*I)*E[0]*d[ab]/`&hbar;`})

it is clear that there is a common coeff with each element by ((1/2)*I,i just want to show the matrix with traditional way.

#A:="((1/2)*I*Matrix(2, 2, {(1, 1) = -E[0]*d[ba]/`&hbar;`, (1, 2) = delta, (2, 1) = -delta, (2, 2) = -E[0]*d[ab]/`&hbar;`})"

A1:=((1/2)*I;



I have a complicated function (combination of exponential and sin), and I want to find the infinite integral of that from 0 to infinity which I know that the function itself converges to zero at infinity. I used evalf to force maple to do that but it fails to give the numerical answer. How can I resolve the problem?

 

Thanks,

Hamid

An animation runs in Maple and it runs in a browser (Chrome) if I export it directly to a .gif file. But if I manually resize (expand) it and export it to .gif, the exported file fails to run in the browser. Why is this, and is there a work-around? The file is about 4.7 MB in size.

Mac w OS X, 10.4.6, 3.06 GHz Intel Duo with 4GB RAM, Maple14 Student

I  have to solve this initial value problem:

pde := (-x+y)*(diff(u(x, y), x))+(-y*(diff(u(x, y), y)))+c*u(x, y)=0

subject to u(0,y)=g(y)

I have had a go and this is what I have so far:

a := -x(s)+y(s)

b := -y(s)

c := 1

pde := a*(diff(u(x, y), x))+b*(diff(u(x, y), y))+c*u(x, y) = 0

chareq1 := diff(x(s), s) = a

chareq2 := diff(y(s), s) = b

here is an equation

eq := I*`&hbar;`*(sum((diff(c[n](t), t))*f[n](r)*exp(-I*omega[n]*t), n = l .. k)) = (1/2)*E[0](e_.r_)*e*(sum(c[n](t)*f[n](r)*omega[n]*(exp(I*t*(-omega[n]+Omega))+exp(-I*t*(omega[n]+Omega))), n = l .. k))

req := Int(conjugate(f[m](r))*rhs(eq), r)

leq := Int(conjugate(f[m](r))*lhs(eq), r)

sup:=Int(conjugate(f[m](r))*f[n](r), r) = delta[m, n]

ans:=applyrule(sup,leq=req)

how can get the result as

ans := I*`&hbar;`*(diff(c[m...

Hello!

I have solved a set of ODEs. For example I have obtained L(t). Now, I have a relation between "t" and for example "z", such as "t = exp(z)". How can I get for example L(z=1)?

Thanks!

 

Download for_mapleprimes.mw

I used dolve for dsystem,

but I got this error:cannot evaluate right than .....

is there anyway to overcome this problem?

thanks

GCD := proc (a, b) local sol, x, y, eqs, vars; vars := [x, y]; eqs := [Typesetting:-delayDotProduct(cos(x), sin(y)) = 0, y+sin(x) = b]; sol := solve(eqs, vars); sol end proc

I tried to convert this code into C, using C(GCD) and got an error message that target language may not recognize commands like solve etc., which is obvious. Please let me know if there is any way to convert procedures involving such commands into C code.

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