## Populating a spreadsheet within a procedure...

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.

## Can Maple 11 be used for writing and solving pre-a...

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.

## Chain Rule...

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!

## create group from procedure...

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

## equivalence classes...

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

## Calculate orthogonal vector...

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:=

## How to find coefficients of a convex combination ?...

Hi, I´m new to maple and need help for he following usecase: I have a set of vectors V={v1,v2,...,vn} and a vector v, where v can be expressed as a convex combination of the vectors from V: v = c1*v1+c2*v2+...+cn*vn where c1+c2+...+cn = 1 and all coefficients are non negative How can I find the coefficients c1,c2,...,cn ? I know how to do this for a linear combination, where the coefficients have no constraints. However, here the sum of the coefficients must be 1 and all coefficients must be non negative. hope you can help. kind regards, Andreas

## simultaneous equations...

Solve the pair of simultaneous equation. 4e + 5f = 86 2f - e = 11

## Chain Rule in Maple...

Happy New Year to all! I have a problem here where x=r*exp(a) and y=r*exp(-a). I need to find d(x,y)/d(r,a) in Maple. I used the command below: solve(`∂`(x, y)/`∂`(r, theta)) and got the following result: {r=r,theta=ln(RootOf((r _Z) ∂ ((r)/(_Z))))} I wonder if there are any other methods to check d(x,y)/d(r,a). Many thanx. Antonio.

## Issue: Advanced programming guide M11 as pdf...

Is it just me, where the search functionality of Acrobat does not work in that pdf (it does for the Intro and the User Guide)? Mist! For example searching for 'can' only returns 1 hit: Canada on page 2. For M10 there is not problem to search for s.th. like 'float[8]'.

## Domino Tabloid (Tableaux) of shape A and type B...

If any of the following has been programmed into Maple, then from a sufficient number of small examples, I might be able to "back-engineer" and figure out the solution to the following problem in general. I need help to know if I understand Ian Grant Macdonald's book "Symmetric Functions and Hall Polynomials" (1995, Clarendon Press, 2nd edition), page 109, correctly. I need to know what a domino tabloid of shape A and type B is, where A and B are both partitions of the positive integer N. I need to do this only for the case where A=(N), the partition of length 1. Essentially, I need the formula for the N-th powersum of

## LinearSolve error...

Below are the commands: (where A is the augmented matrix)

with(LinearAlgebra):

A :=