We assume that the length of a match is 1, then the perimeter of a polygon is equal to the number of matches N. If a match can be located at arbitrary angles to each other, then at a given perimeter of the area can take on any value between zero and the area of a regular polygon (for even number of matches) . For an odd number of matches the lower bound equals to the area of an equilateral triangle of side 1. For any given area within these boundaries will be infinitely many solutions.

The school computer labs use Maple 15. As it is a considerable drive for me to come in and use the lab during the hours I am not on campus, I picked up Maple 16. This has worked fine for me until today. I am trying to use the "polarplot" command to plot two equations r=8*cos(3θ) and r=4-2.5cos(θ). Doing so on the computer lab Maple 15 plots fine. When I do so on Maple 16 on my computer I get something different. If I switch the order of the equations on 16 I get...

I dont know what to do any further...

I have some function containing HeunG as a function

it is of the following form

f(k)=argument(functions containing HeunG) - ln(2)*k

now plotting this works...

But when differentiating with respect to k and then plotting it gives me the following message:

Warning, expecting only range variable k in expression (I*((1/2)^(1/2*I*k))^2*HeunG(3,-9/2+3/4*I*k-3/4*k^2,-1+1/2*I*k,-1/2+1/2*I*k,1/2,1+I*k,1/2...

Hi,

I have two differential equations describing a solar sail in 2D.

One is my radial direction and one is the tangential direction.

I have plotted r(t) and theta(t) but I want r(theta) so I have assigned my two differential equations and initial conditions, have my two plots for r and theta in terms of t and then I have used the following command to plot in polar coordinates:

Hi guys,

let's say that we have an ugly, massive long expression with high power products of variables for example this:

and we want to reduce the powers of these variables using these rules:

To Whom it May Concern:

I have a 3D array, P, with dimension P:=array(1..6,1..6,1..5). I would like to extract each 2D array from the 3D array and declare them as matrices. Additionally, I would like to store the sequence of matrices is a 1D array. I tried the following, but it did not work:

P:=array(1..6,1..6,1..5):

L:= matrix(1..6,1..6):

V:=array(1..5):

for l to 5 do: for i to 6 do: for j to 6 do: L[i,j] := P[i,j,l]: od: od: V[l]:=L: od:

Hi

Maple wont do anything when i try to solve: DEsolve(diff(X(x), x, x)+(1.6+4*EllipticF(x, 2)^2)*X(x))

any help would be appreciated, as i need to plot the solution but I can't solve it, also the elliptic function is was aiming for was cn^2(x,2) im not sure if this is the version that i have included and so help would be appreciated.

I'm not sure this topic has ever come up.  I cannot find a way to output strikethrough characters.  Underline and subscript will get you strikethrough characters.  Is there a way to produce strikethrough output?

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Hi all, I'm hopeful someone can help you with this issue I am having in implementing a Maple procedure. I use to have a strong knowledge of the programme, but haven't used Maple in a couple of years and I appear to be more rusty than I recall, I keep hitting dead ends with multiple assignments, missing arguements and so forth, so I was hoping someone can help me smooth the edges!

The problem is as follows:

q1'' - f1(q1,q2) = - q1 / (q1^2 + q2^2) ^ (3/2)

I wrote down a covariance matrix through the following command:

 A := Matrix([[a, b], [b, c]], shape = symmetric, attributes = [positive_definite]);

and then I computed the Cholesky decomposition of this matrix using afterwards the command simplify as well

B := LUDecomposition(A, method = Cholesky)

C:=simplify(%)

What I obtained is this matrix

Matrix(2, 2, {(1, 1) = sqrt(a), (1, 2) = 0, (2, 1...

Hi I have the differential equations:

X := diff(F(t), t$2)+(10+8*sin(m*t)/(m*t))*F(t) = 0

I know that if it were X := diff(F(t), t$2)+(W)*F(t) = 0, where W was a constant, then the solution would be the standard WKB sol, but with a time varying function in front this solution is no longer valid.

I know this can be done and would like some help in plotting F(t) against t and i sholud look an oscialltig curve where when sin(mt)=0 it...

Hi,

I'm new in Maple and i've a project to do. I've to find at what time is 90% of the steady-state concentration of C achieved. And the eq is 

z'=k(1/2-z)(1/3-z), where k=0.3. 

So i had worked in Mathematica before and i know that it would look something like that in there: 

eqn1 = 0 == k (1/2 - z[t]) (1/3 - z[t])

DSolve[Evaluate[{eqn1}], z[t]].

But i have no idea how to find this 90%. I hope that someone will...

People:

I wrote a Maple 15 worksheet containing a function that calls two other functions defined earlier in the worksheet.  The main function didn't work, so I replaced one of the functions that was called, by cut-and-pasting its definition into the main function.  This is obviously inconvenient because I want to alter the function that I cut-and -pasted and whenever I do it I will have to cut-and-paste again.  It also detracts from the...