## series...

using maple find out the sum of the follwing series: sum(n=1,infinity) 1/n^2; sum(n=1,infinity) (-1)^n+1/n^2; sum(n=1,infinity) 1/(2n-1)^2;

## generating a sequence of autocorrelated random num...

There's a discussion on generating cross-correlated sequences( http://www.mapleprimes.com/forum/generate-correlated-random-numbers), but how do I create a sequence of correlated random variables from an arbitrary distribution? How do I test a given time series (list,vector) for a possible autocorrelation (serial dependence) with maple? Thanks.

## Newton's basins of attraction...

why when men talk about graphing newton's basins of attraction they always give complex exaples . For the real polynomials we have the same idea for example the polynomial : f(x) = x^3 + 2*x^2 - x -2 this has 3 real roots 1, -1, -2 and of course we have some intial x0 makes newton formula converge and other not so we will have basins. or for x^3 - 1 which has 3 mix of real and complex roots. Can you please help me in writing a maple program that create the graph of newton's basin for such real polynomials? and If you think that my idea is not correct can you please provide me with a maple program that create the basins for a complex polynomial so that I maybe can modify it for the real ones?.

## how to plot a function thanks to vba...

hi let's say i want to plot sin(x) in excel i know that in excel i should type =Maple("plot(sin(x),x") now how to do that within vba i have already included the reference of maple within vba thank you

## expand fourier in maple...

f(x)=x^2 expand in fourier series: a)by cosinuses on (0,pi) b)by sinuses on (0,pi) c)on (0,2pi)

## how to know the maximum of a list...

Hi let's say i have a list like this one u:=[1,2,5] i want to know the max that is 5 in this case how to do that thank you

## Setting a variable as commutative or constant...

Hi guys, i created a procedure to produce the commutator lie bracket, for the lie algebra so basically commutator(x,y)=x&*y-y&*x where x and y are not commutative. But there is a problem when i add constants into the mix, like a*x, a is treated as a variable. So i wonder if within the simplify function, there is a way to set certain variables/constants to be commutative or to declare a variable as a constant variable. If more information is needed check down here I am attempting to output the results of a derivation map D so say we have 2 elements of the lie algebra, x and y, and L is spanned by x and y,

## problem with fsolve...

hi lets say i have 2 functions
h:=x->piecewise(x <= 5, x-1, x <= 7, 4, x <= 15, 18-2*x);
h1:=x->piecewise(x <= 3, -3/2+(3/2)*x, x <= 5, 3, x <= 15, 21/2-(3/2)*x);
i'm looking for, when h1(x)=h(x)
when i plot it
plot({h(x), h1(x)}, x, thickness = 3);
i can see 2 intersections
when i do
fsolve(h(x)=h1(x),x);
it returns me only one solution =1
is there any alternative to this
Normally i should have 2 solutions in the interval 1 until 10 , that are x1=1 and x2=4
thank you

## how to split the screen of maple...

is it possible ti split the sreen of maple thank you

## hgow to know the intersection of 2 functions...

Hi let's say i have 2 functions the first one is f :=x->[[1, 0], [3, 3], [5, 3], [7, 0]]; the second one is g :=x->[[1, 0], [5, 4], [7, 4], [9, 0]]; when i use plot({f(x),g(x)}); i can see the both functions and the intersection but I don't know how to calculate the intersection Can you help me please thank you .

## How to generate GF(8)...

I am new to Maple and still learning syntax, what I would like to do is to generate the elemets of GF(8) or to even how to multiply ploynomials modulo x^3 + x +1? Thanks for help any one can provide.

I have a Maple spreadsheet which I would like to plot some of the data from. Is there a simple way to select the columns of data for a 2 dimensional plot? The Maple commands below generate three columns of data and I would like to plot the first two columns. I have exported the file to Excel and generated a plot, but there should be a way to stay within Maple and do the same. Thank you for your help. > restart; > with(Spread); > beta_N := proc () local i, k, sol, beta, N_bar, Eq15, Eq16; CreateSpreadsheet(Eq15_16); i := 1; for k from .10 by 0.2e-1 to .5 do Eq15 := -2*k*cos(beta) = 1/sqrt(N_bar);