Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Hi,

Here an example of integral that Maple 17 cannot calculate (mean of standard Gumbel distribution)

> G:=int(x*exp(-x)*exp(-exp(-x)), x = -infinity .. infinity);

The result is known as the Euler-Mascheroni constant as shown by a numerical computation:

 > evalf(G);

0.5772156649

>  identify(%, extension = [gamma]);

gamma

> evalf(gamma)

0.5772156649

Also, it cannot compute the variance

hi

how r u

i am writting this commands for loop but its not working .

i want to write genralize matrix for M and K

> Digits := 100;
> n := 4;
> y := vector([1, 1, 1, 1, 1, 1, 1, 1]);
> results := matrix(n, 3);
> for i to n do a1h := Generate; M := Matrix([[2, 3, 0], [0, 1, 7], [3, 1, 2], [2, 1, 0], [0, 0, 1], [3, 7, 0], [1, 1, 1], [5, 1, 0]]); m := `.`(1/(`.`(M^%T, M)), M^%T); mm := `.`(m, y); results[i] := m^%T end do;

As described on the help page ?updates,Maple17,Performance, Maple 17 uses a new data structure for polynomials with integer coefficients. Our goal was to improve the performance and parallel speedup of polynomial algorithms that underpin much of the system and create a platform for large scale polynomial computations. Shown below is the new representation for 9xy3z

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].

int(-(1/781250)*exp(-(1/1250)*X[1]^2)*X[2]*exp(-(1/1250)*X[2]^2)/((1+exp((1/67)*X[2]-(1/67)*X[1]))*Pi), X[2] = -infinity .. infinity)

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 * Xi

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...

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