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;

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.

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?.

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

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

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

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,

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

is it possible ti split the sreen of maple
thank you

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 .

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);

Hi,
I'd like to know how I can plot a simple math function that has undefined constants on it. For exemple, k*x^2 - k*x^4. Here x is my variable and k is the undefined variable. This function is plottable, bacause I can plot it with my hands... You derivate the function, get the critical poits, then look at the concavite of the function in each of those points by looking at the sign of the second derivate, and then you get a plot with critical points being functions of k which I assume is always greater than zero.
From what I have found in all tutorials, books and forums, they teach only to plot numerical functions. But I can't really believe maple can't plot these functions I need. Another example would be x = k. It's a simple function where you get a horizontal line crossing the y axe in the k point. So, even if k is undefined it's still plottable. I think I made my point.

I have a procedure that contains a loop, solving a set of simultaneous equations for each increment of a known variable (k) and two unknown variables (beta and N_bar). What I would like to do is populate a Maple spreadsheet with the solution to each iteration of the loop, creating three columns of data for each iteration (k, beta, and N_bar). The attached worksheet will create the spreadsheet and loop through a set of equations, but I don't know if there is a way to populate the spreadsheet in the format desired.
Thank you for your suggestions and help.

Basically, I am considering buying Maple 11 as I am a college student hwo will soon be taking college-level math courses. But I am weak in these old areas of mathematics, the stuff you explore in high school. I want to know if Maple 11 will serve the majority of my math needs as a student, whether it is pre-algebra, algebra, geometry, calculus, etc.