I have a set X={a,b,c,d,e} and a table as follows:

M[2]:=TABLE([e = {2,3}, a = 5, c = 1]);

Afterwards I want to add to this table all those elements (e.g. b={3,4} and d=4) of X which are unassigned in M[2]. How I can do this?

Please help me with transformation of the following expression:

> z:=abs(a)^2*b+abs(a)^2*c*conjugate(a);

where I want to derive

a*(conjugate(a)*b+conjugate(a)^2*c)

I try the following:

> z:=collect(z,a);

However it does't transformate z in any way.

In other words if I have
>z:=a*conjugate(a);

>z:=simplify(z);

I derive z=|a|^2. How to decompose z back into a*conjugate(a)?

Hello

I have a nasty definite integral to evaluate. I need to integrate w.r.t X[2] and leave the integrated expression as a function of   X[1].

The discretization is via the...

Let x, y, z be three nonnegative numbers and x^2 + y^2 + z^2 = 5. Find the minimum value of the expression

A = 1/2*x^2*y^2 + y^2*z^2 + z^2 *x^2 + 96/(x + y + z + 1).

How to find the minimum value of the expression?

Hello, I bring here a problem with maple where I make a definite integral and appear suddenly in the solution a "csgn".

Here is the integral :

(1)

V(z) = (int(int(theta*R*(H-p)/(H*(L*L)*sqrt((R*(H-p)/H)^2+(z-p)^2)), p = 0 .. z), o = 0 .. 2*Pi))/(4*Pi*epsilon)

But i want the solution for z where 0

(2)

V := proc (z) options operator, arrow; (1/4)*(int(int(theta*R*(H-p)/(H*L*L*sqrt(R^2*(H-p)^2/H^2+(z-p)^2)), p = 0 .. z), o = 0 .. 2*Pi))/(Pi*epsilon) end proc

I am trying to get Maple to calculate this for me:

Let X₁,X₂,...X₈₁ be a random sample from a distsribution (not necessarily normal) with mean µ=49 and standard deviation σ =8. Let ¯X = (1/81)* ∑_i=1⁸¹ * X_i

_{I need to find the mean, the standard deviation and the approximate distribition of ‾X,}

_{BTW, the 81 goes directly...}

I have a mapping as a Table and want to find its inverse mappings. For example for

TABLE([e = w, c = z, d = w, a = w, b = y])

I want to elegantly compute

TABLE([w={e,d,a},z={c},y={b}])

kindly give a compact line of code, regards.

Hello,

for my mechanical engineering studies we have to optimize an engine during a workshop. Therefore we have to use a numerical dsolve to solve the equation of motion. I have to get the maximum bearing reaction for a constant rpm. In order to get this I can't think of anything else but use the dsolve solution and use it in maximize.

ysk_2 := t -> -rc*cos(phi(t))-lp*cos(alpha(t))-lkb-y(t);
ysp_2 := t -> -rc*cos(phi(t))-lp2*cos(alpha(t))-y(t);

Looking at the new group theory facility in Maple 17 Help, the DrawCayleyTable( H ); does not display correctly

i have 12 second order non linear coupled partial differential equations (Euler-Lagrange Equations) in 12 variables {u1a(x1+l/2),u2a(x1+l/2),u3a(x1+l/2),theta1a(x1+l/2),theta2a(x1+l/2),theta3a(x1+l/2), u1p(x1,x2),u2p(x1,x2),u3p(x1,x2),theta1p(x1,x2),theta2p,theta3p}

also there are 17 lagrange multipliers in these equations which are also to be solved, using 17 constraints equations.

along with 48 boundary conditions. These have emerged out of variational formulations

Hi,

I've been trying to manipulate the equations of a mechanism that I've exported from MapleSIM.  The system equations contain 4 differential ordinary equations, and 6 algebraic equations.  In MapleSIM it simulates fine, but I'm having problems simulating it in maple alone (without multibody exports).

I've tried solving the initial value problem by replacing all the time dependant variables with constants, (and as this is a dynamics problem) I supplied...

I have a Mma code from a colleague that I am trying to port to Maple. This code uses a lot of Mma With[{...}, ...] constructs, to which I found the Maple "use ... in ... end use" construct the closest equivalent. What is being done is to initialize a bunch of local variables and then run the calculations. Non-initialized variables (the ones not in the first section) remain global.

I ran into a problem in Maple when I tried to initialize an element of a Vector, like "use a[1...

When I use Openmaple with C#, if the command line involves "MapleEngine.StopMaple" or "restart", or the command line including "MapleEngine.EvalMapleStatement" is executed twice (sometimes more), it always cause a crash. Can anybody help me out with this problem? Thank you in advance!

The following is the crash report:

unhandled System.AccessViolationException
  Message=Attempted to read or write protected memory. This is often an indication that other memory is corrupt.

i'm using maple 15 and trying to solve the following PDE without success, can you help please.

(ab+(a*sin(x1))^2-(c*cos(x1))^2)*d/dx1(V(x1,x2))=-dsin(x1)/exp(x1).

where a,b,c and d are constants. and i need it to be solved as a PDE please.

thank you,

Mutaz

hello,everyone,
I have a problem to make a figure, commands are below:

restart;
1+(2*(S1*e2/(S2*e1)+S2*e1/(S1*e2)))*tanh(S2*k*d);
S1 = sqrt(beta^2-e1), S2 = sqrt(beta^2-e2);
e1 = 4, e2 = -19-.53*I;
subs(`%%`, %, k = 2*Pi/(0.633e-6), `%%%`);

I want to plot the relation between d and beta(real part named betar and imaginary part betai),but meet some trouble.
I got some points from the article is when d=400e-10, betar in the range (2.1,2.2...