Hi,

I want to write a proc to calculate exponential averages. Each call will add one data point to the averge. To do that, I need to store the previous average. I can do that by handing the previous average back to the proc at the next call, but I'd rather store it in the proc. Is there a way to guarantee that a variable---once set---remains alive keeping the last value upon entering the proc again? Note that I need the variable to be local to each instance of the proc since I will have several of these running in parallel (I intend to create these procs using the module factory scheme outlined in the programming guide). So I cannot store the previous average in a global variable since that would not be unique to a given instance.

Any ideas out there?

TIA,

Mac Dude

1. Work with the function 

f(x) = 5x^2-125/x^2-16

1. Find the horizontal asymptotes
2. Draw the graph of the function.  Show all horizontal and vertical asymptotes on your graph.  Edit the domain and the range to get a “good window” that clearly shows the shape of the function and all the important features, such as zeros, intercepts, maxima and minima, horizontal and vertical asymptotes. 

 when i  input  bellow

• Maple can output

i want to find the stability of this equation, but there is seem to have some problems..can somebody help me..

y := A*(1/x+x*exp(-2*sqrt(-1)*b))+4*(exp(h)-1)^2*(2*exp(-sqrt(-1)*b)-3*(exp(h)-1)^2*x^(-exp(h)+1)*exp(sqrt(-1)*b*(-exp(h)+1-1))+3*x^(-exp(h)+1)*exp(sqrt(-1)*b*(-exp(h)+1-1)))/(3*(1-r))-exp(-2*sqrt(-1)*b)/x-x;

subs(A = (1+r)/(1-r), %);

subs(r = (1/3)*(exp(h)-1)^2, %);

subs(b = m*Pi*(exp(h)-1), %);

subs(m = 1, %);

subs(h = 0.5e-1, %);

> ans := solve(%, x);
Warning, solutions may have been lost
ans:=

> r1 := ans[1];
Error, invalid subscript selector
> r2 := ans[2];
Error, invalid subscript selector

Any suggestions (or perhaps related examples?) illustrating how I might numerically solve for f(t) in the following non-linear integral equation?  In Fortran, I would start with a guess f(t)=T0, and then search in the neighborhood for a minimum (in the error), but I am not familiar with numerical searches and methods in Maple.  Thank you for any suggestions or leads.

(a,b,... etc are all real)

Download Integraleqn.mw

Hello, I am newbie in Maple...

I tried to make a simple iteration, and I would like to get complex results for Z2, Z4 and Z5, as they have complex tag in them.

Would anybody to be so kind, to have a look at my file, and tell me, what's the mistake?
zernike_BB.mw

Thank you:

Attila

How can I call to an external batch file (which is located in a given directory) from a Maple session?

Thanks,

Janos Pinter

Hi all,

I would like to know how could I plot an ODE for 3 values of a parameter in the same figure.

sol:=dsolve(dsys,numeric,parameters=[t]);

p:=proc(t)sol(parameters=[t]); plots:-odeplot(sol,[x,f(x)],-1..0,_rest) end proc;

p(-1); p(-0.5); p(-0.1);

Here, I have 3 figures one for each value. I used with(plots): display(p(-1); p(-0.5); p(-0.1)). But doesn't work.

Thanks for your help.

Hello,

I wonder if it is possible to create standalone executables in Maple that would run in a  computer without Maple. Also if it is possible can we do that with Matlab code in it too?  

Matlab does not allow to create standalone executable is you use symbolic toolbox and I want to find a solution for that. What I will need to take second derivatives and get the coefficients of polynomials. 

How to find (i. e. to evaluate) the positive root of the polynomial equation

mul(x+j, j = 0 .. 2015)=1?

The command

RootFinding:-NextZero(x-> mul(x+j, j = 0 .. 2015)-1 , 0);

outputs

                              FAIL
The same with Digits:=100.

Hello people,

I've been working with a list of [x,y,z] elements, where the x and y are positions, and z is the value at given x y. I wish to be able to plot the results so that they look like this

 link:http://imgur.com/t6fEHee

I made the above plot using the following code

surfdata(points[1],dimension=2,colorscheme=["Orange","MediumBlue"])

where points[1] is a list of lists of points.

Glad that i was succesful, i tried to apply this method to a must larger number of points, only to be met by the following error

Error, (in makePlotFromLargeFNASet) assigning to a long list, please use Arrays

So, i made it so that points[1] became an array instead of a list of lists. When trying to apply surfdata now, using the exact same line as above, the plot is not 2D with colors as the 3rd dimension, but only returns a 3D plot as if dimension=3. It is endlessly frustrating, since there doesn't seem to be any sense to the error, and i cannot find an answer to why it does so. Any help would be appreciated!

Thanks in advance,

Mehdi

EDIT: I have uploaded the worksheet and the two files that i use on the following link:

http://www.filedropper.com/plotscript

restart;
with(ArrayTools):
M1 := Matrix([[0, 0, b], [0, e, f]], order = Fortran_order);
row, col, var := SearchArray(M1);
M2 := Matrix([[0, 0, b], [0, e, f]], order = C_order);
row2, col2, var2 := SearchArray(M2);

I guess that's a bug.

How can I access the Laplace Transform built-in package?

I want to try to modify it for something like this,

 int(f(t)*exp(-s*t), t=0..infinity);

to 

 int(f(u*t)*exp(-s*t), t=0..infinity);

 or to

 int(f(u*t)*exp(-t), t=0..infinity);

Cheers!

Dear  i want to plot the graphs for different values of R[2,5,6.5]   here is the codes: Either ido loop or array i have to use or other procedure 

The graph display should be at R=2, one graph, R=5 another and R=6.5 

onemore graph

restart:
with(DEtools):
eta:=1+k*x+epsilon*sin(2*Pi*x):
A1(x):=-exp(-alpha*x)*J^2*R/(2*eta^3+6*xi*J^2*eta^2):

psi0:=A1(x)*y^3:
psi:=delta*psi0:
V:=-diff(psi,x):
delta:=0.1:
epsilon:=0.01:
alpha:=1:
xi:=0.001:
k:=0.1:
As:= [0, 2, 4]:
x:=0.2
plot([seq]([eval(V, J= A), y, y= 0..eval(eta, J= A)], A= As),title=" velocity at R=2.0 ",labels= ["v", "y"],color= [green, red, blue], linestyle= [solid, dash, dot],legend= [seq](J = A, A= As), axes=boxed);

Hello, I would like to customize the context menu in Maple 18 and looking for a way, to convert 2-D expressions to classical maple input using command(s) (same function as "2-D Math > Convert To > 1-D Math Input"). My main problem is, that using the standard procedures in the context menu I get the result of an expression, not the expression itself.

Can you give me an idea, how to do this? Thanks, Csaba