help with code...

> cuberootkj := proc (m, n)

local e, tol, x0, x1, x2, maxsteps, counter;

tol := 1/200000;

e := 1;  x1 := m;  x0 := n;

while tol < e do

x2 := (2/3)*x1+(1/3)*x0/x1^2;

e := x2-surd(x0, 3)

end do;

print("root"); x1

end proc;

i get this error message: Error, (in cuberootkj) cannot determine if this expression is true or false: 0 < 9399973/5400000-5^(1/3)

Laurent Series for |z|>a ?...

Hello,

I want to try to find the Laurent series centered about z=1 for the function f(z)=1/[(z+1)(z+2)] in the annular region |z|>3.  When I use the laurent() function, Maple returns the laurent series that is valid for 0<|z|<2.  Is there some way to restrict the domain of the function to make Maple return a Laurent series for a different domain?

Thanks

I need help with RootOf.Tired to think ab it. Help...

I need to solve equation: log[2*sqrt(2+sqrt(3))](y)=log[2+sqrt(3)](y-1) I know (i did it with my hands) that y=8+4*sqrt(3) is a solution of this eqution. But i can not find this solution using Maple. How i can obtain it? P/s/ I solved with maple numerically. It is not enough for me. I need solution namely in form 8+4*sqrt(3). Because it is explicit solution. I am looking forward for answer. Thanks.

"summand is singular"...

hi

I'm looking at Fourier coefficients:

Dn:= (2/L)* int(f*sin(n*Pi*x/L), x=0..L); where L = Pi

and the series

u:= Sum (Dn * sin(n*Pi*x/L)*cos(n*Pi*t/L), n=1..infinity);

When I try to sum the series:

u:= sum (Dn * sin(n*Pi*x/L)*cos(n*Pi*t/L), n=1..10);

I get the error

Error, (in NumericRange) summand is singular in the interval of summation

Now I can see the 0 / 0 thing, but the first term should be 1 and the other terms zero. The first term is 1 if you take limit as n->1

So I have to explicitly state that:

D1:= (2/L)* int(f*sin(Pi*x/L), x=0..L);

plot using pdsolve...

hye, how to plot the pde using pdsolve if the error that we get is unable to handle elliptic PDEs. please look at the attachment. thanks for your help. regards, zarith

simplification of a sum of a series...

we want to find the sum:

sum((6*n+5)*(6*n+3)/((12*n*n+12*n+1)*(6*n*n+6*n+1)), n = 1 .. infinity)

is is equal to:

-15-(1/2)*sqrt(3)*Pi*tan((1/6)*Pi*sqrt(3))+(1/2)*sqrt(6)*Pi*tan((1/6)*Pi*sqrt(6))-2*Psi(1/2+(1/6)*sqrt(6))+Pi*tan((1/6)*Pi*sqrt(6))+2*Psi(1/2+(1/6)*sqrt(3))-Pi*tan((1/6)*Pi*sqrt(3))

can we get rid of  the function "\Psi"?  Can we bound this function \Psi with other known constant such as zeta function?

Extrapolation of 3D Data...

For certain points I have determined values: z depending on x and y. I look for a method to get extrapolated values for any x-y combination in this area.

To fit a 3D curve is not feasible because the fitted curve would not deliver the exact z values for a given data set (=essential condition). For a 2D data set I would do something like a linear regression between two data points but I have no approach to do something similar with data points depending on two variables. I hope somebody can help me to solve this problem. Thanks!

QR Decomposition...

Hi, The following worksheet shows you how to use Maple to obtain the QR Decomposition of a matrix. The worksheet demonstrates how to use the Context Menu to obtain the decomposition as well as a stepwise solution for finding the decomposition using the Gram-Schmidt process. The worksheet also contains an example of how QR Decomposition can be applied to find the least-squares solution of an overdetermined system of equations. Watch the

Regarding powerseries package...

Hello,

I am teaching students "operator analysis" and trying to work with maple. But here I encounter some problems, maybe someone could help me.

I have an operator which returns  powerseries. An operator is implemented in procedure geom (in parameters: s is powerseries and this procedur returns A(s), where A is an operator and s powwerseries):

Maple For MD simulations??...

I need to program a Molecular Dynamics simulator for classical Mechanics and especially for granular matter..

Maple or MapleSim is most appropiate??Or i should do it with a pure programing language (i.e C++)?

Thanx!

do loops and sequences...

Hi, I've been stuck on these 4 questions for the longest time. I have an assignment due next week, and I have absolutely no idea what to do! Please help me! (I'm using Maple 12 by the way)

1. Write a do loop to store the sequence [1,5,10,15,20] in a 1-dimensional array.

Eigenvalues, Eigenvectors, and Eigenspaces

Maple

Eigenvalues, Eigenvectors, and Eigenspaces Worksheet and Video Tutorial

RSA Algorithm

Maple

RSA Algorithm Worksheet and Video Tutorial

multilinear...

Hi,

I have a problem with define(f,multilinear). I want that Maple threats alpha[i,j] as a constant such that f(e[1], alpha[2, 4]*e[4])=alpha[2,4] f(e[1],e[4]). I've added all the alpha[i,j] to the constants, but still, he fails to compute f(e[1], alpha[2, 4]*e[4]).

It works when I add alpha(i,j) to the constants, but then the rest of my program doesn't work, so it really should be with [,] and not with (,).

Thanks!