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.

Hi, I have a task where x=r*exp(a) and y=r*exp(-a). f = g(x,y) I need to prove that df/dx=(exp(-a)/2*r) * (r*df/dr + df/da). The result I am getting is: df/dx=(exp(-a)/r) * (r*df/dr + df/da). Does not look difficult but I don't seem to be able to get 2 in the denominator. Any help would be appreciated! Thanks!

I am working with a procedure and i just want to put the outputted elements into a group, how do i go about doing this e.g. > restart: > P := proc(L::list, V::listlist) > local S,t,x,y; > for S in combinat[powerset]([$1..nops(L)]) do > if S = {} then next end if; > print(add(L[t],t=S)) > end do > end proc: > with(ListTools): > P([a,b,c],[[1,0,0],[0,1,0],[0,0,1]]); 0 a b a + b c a + c

I will have to use an example to highlight my problem, any help would be of great use, Let us take the group {a[1],a[2],a[3]} with a[1]=[1,0,1,0], a[2]=[1,1,0,0], a[3]=[0,0,1,1] now we have combinations of 2 such as a[1]+a[2]=[2,1,1,0], a[1]+a[3]=[1,0,2,1] and a[2]+a[3]=[1,1,1,1], a[1]+a[2] and a[1]+a[3] are the same as they have the same values even though the order is not the same. from there I want to put them into seperate classes so I have b[1]={a[1]+a[2],a[1]+a[3]} and b[2]={a[2]+a[3]} Been having a lot of trouble trying to do this, any help would be appreciated

hi, i've the following task to solve with maple. 2 vectors: r:= Vector([-2,-3,2]) and s:= Vector([4,3,-3]) i've to find the vector t that is orthogonal to r and s. the length of the vector t have to be 7. (i am not allowed to use the commands CrossProduct() and VectorAngle()) i solved this task already on paper but i don't know how to key in the commands in maple to calculate it in maple. this is my try : Mat_r_s:=