MaplePrimes Questions

with(Optimization); nx := maximize(abs(.5547114632*x^2+1.130478381*x+.9883691714-exp(x)), x = -1 .. 1, location)

nx := 0.4568872387e-1, {[{x = 1.002012310}, 0.4568872387e-1]}

but 1.002 isn't in -1..1

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

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