use the formula provided in

http://en.wikipedia.org/wiki/Hermite_polynomials

and run in Maple

Restart;
with(SumTools):
Hn := n!*Summation(((-1)^(n/2-l))/((2*l)!*(n/2-l)!)*((2*x)^(2*l)),l=0..n/2);
genfun := Summation(Hn/n!*z^n,n=0..infinity);

but result is not exp(2*x*t - t^2)

1. I use your previous reply on V_G derive  on other characteristic function, but most are undefined

or complicated solution or can not evaluate, why?

for example

charc := 1+i*X/(i*X-1);
int(exp(-I*X*u)*charc, X = -infinity .. infinity);

it got this complicated thing
piecewise(Im(1/i) = 0, undefined, int(exp(-I*X*u)*(1+i*X/(i*X-1)), X = -infinity .. infinity, method = _UNEVAL))

Density := int(exp(-I*X*u)*charc, X = -infinity .. infinity);

Hi,

I'm running a 2D parameter sweep from Maple 15 on a MapleSim 5 model. The output is stored in a 2D matrix.  I've encountered two problems:

1) when I graph it with matrixplot the z-axis values are fine but I can't figure out how to change the x-axis and y-axis values from the matrix indices to the actual values of the swept parameters. 

2) When the parameter sweep begins I get a warning about storing the values in a matrix.  Maple...

I would like some help in order to build the following algorithm (Gianni-Kalkbrener) on Maple.

I have a cyclic-5 problem of the following polynomials

L := [a*b*c*d+b*c*d*e+c*d*e*a+d*e*a*b+e*a*b*c, a*b+b*c+c*d+d*e+e*a, a+b+c+d+e, a*b*c*d*e-1, a*b*c+b*c*d+c*d*e+d*e*a+e*a*b]

I found the Grobner basis of that using:

GrobnerBasisOfL := Basis(L, tdeg(a, b, c, d, e))

Then, I have found the FGLM of the Basis using:

Hi im using maple 16 and defined a vector field that is lengthy below,

(and yes i defined with(VectorCalculus), and SetCoordinates(cartesian(x,y,z)) (x,y,z is subscripted)

And i am using a type of line integral for the work of a particle's path through a force field which i defined here as Z.

Hello,

I'm trying to fit some of my research data to a polynomial.   I can do this, but what I need to know is how Maple is calculating the standard errors.  In other words. I need to know the underlying forumla Maple is using for these standard errors.

Is there any documentation on this anywhere?  

For reference, the Maple command I am using is:
LinearFit([Z^(-2),Z^(-3),Z^(-4),Z^(-5),Z^(-6),Z^(-7),Z^(-8),Z^(-9)],X,P2,Z,output=standarderrors); 

http://en.wikipedia.org/wiki/Hodge_theory
H(M) = ker(d_k) / im(d_k-1)

would like to see the example of calculation of H(M) above

eqn := y^2 = x^3 + a*x  + b

where a and b are summation of things, or constant

if use convert(eqn, ratpoly) to get a ratpoly

can it be used to guess gf using guessgf directly?

or

convert ratpoly to differential equation and then calculate eigenfunction and calculate generating function?

the eight digits of your student Id number are used to individualise the questions. they are labelled a1a2a3a4a5a6a7a8a.. all non interger outputs should be to 3 decimal places. question 1_ depending of your own value of a8, write a program that performs the calculation below:

a8             ...

Hello,

I have defined a function(say fun) to do certain task, it works well when I call it from a script file(say script1). However, when I copy the complete script1 and paste onto another script file(say script2), the function, fun, doesn't execute. It's very peculiar as my project requires lot of modification, so I copy the old script and...

If S= { <0,1>,<1,2>} and T={<1,1>,<2,3>} are ordered bases for R² and v=<1,5> and w=<5,4>, then can someone help me:

-find the coordinate vector of v and w with respect to the basis T by creating a procedure?

-I can make a procedure to find the transition matrix P_S<-T from T to S-basis, but can you help find the coordinate vector of v and w with respect to the basis S. Using P_S<-T?

Dear Mapleprimes,

I am trying to solve an Optimization problem analytically. I set up a lagrangian as follows:

L:= Objective function + mu_1 (constraint 1) + mu_2 (constraint 2)

I maximise with respect to two variables, call them x1 and x2

I want constraint one to bind but not constraint 2. Hence, I set mu_2=0. The I do:

diff(L,x1); diff(L,x2), diff(L,mu1), diff(L,mu2)

Hi,
I'm trying to import matlab function from m-file.

File looks like this:

    function out = xxx(omega)
    out = heaviside(omega);

It's only heaviside function.

And now, when I'm using "FromMFile" command in Maple it doesn't recognize Heaviside function. It imports that function as "heaviside" - witch small first character (in Maple we needs big "H").

Any help? 

thx 

I need to make one "DensityPlot-point" (similar Statistics [DensityPlot] or histogram in 

Matrixplot) of a set of points (x, y). 

The set of points (x, y) was generated by the procedure.

Is there a way to generate it?

Thank you.

Please help me plot the graphs of the following equations:-

eq1 := diff(E[X(t)], t) = lambda-delta*E[X(t)]-beta*E[X(t)*V(t)];

 eq2 := diff(E[Y(t)], t) = -delta*E[Y(t)]+beta*exp(-rho*tau)*E[X(t)*V(t)];
                                                    
eq3 := diff(E[V(t)], t) = gamma+N*kappa*E[Y(t)]-mu*E[V(t)]-beta*E[X(t)*V(t)]

NB:- E[X(t)]= the expected value of variable X at time t. 

Please help me know how to input this...