The question of how to do matrix operations over a finite field with p^k elements k>1 was raised in this forum in April 27 2010. I wonder if there has been any progress since then for recent versions of Maple.

I am expecially interested in finding the rank of a matrix over a field of order p^k, k > 1.

Hello, I have a problem in plotting the vector field of dx/dt=sinx/sint

It shows me an error:

Error, (in DEtools/dfieldplot) unable to evaluate function `sin(x)` in evalhf

Dunno how to fix it

Here is my code:

DE := [diff(x(t), t) = sin(x)(t)/sin(t)];with(DEtools):DC:=[sin(x)/sin(t),.1]:dfieldplot(DE, x(t), t = -2 .. 2, x = -1 .. 2, arrows = medium, title = 'Diff', color = DC);

Hi, I am trying to plot a solution curve on a vector field with an initial condition of y(0)=0 and I keep getting error messages. This is what I have so far:

with(DEtools); dfieldplot(diff(y(x), x) = x^2+y(x)^2-1, y(x), x = 0 .. 5, y = -1 .. 5, arrows = line, title = 'Slope*Field');

Thank you.

I am working over F_p, where p is prime. When p = 2, the number of 2x2x2 arrays (aka hypermatrices or tensors) over this field is 2^(2*2*2) = 256. Of those 256 arrays, I only want the symmetric ones: that is, if x_{ijk} is the ijk-th element of the array X, then x_{ijk} = x_{ikj} = x_{jik} = x_{jki} = x_{kij} = x_{kji}. Is there a quick loop that does this?

I have plotted a predator/prey system using the following code and would now like to plot the same with the initial value problem of y=200, x=1000, with the end result being a graph of that one trajectory, without the phase field. How can I do this? Thanks.

DEtools[DEplot] ([diff(x(t), t) = 2*x(t)*(1-0.1e-3*x(t))-0.1e-1*x(t)*y(t), diff(y(t), t) = -.5*y(t)+0.1e-3*x(t)*y(t)], [x(t), y(t)], t=0 .. 10, x = 0 .. 11500, y = 0 .. 200, [[x(0) = 1000, y(0) = 200...

For example, i have the field x*e_{x}+y*e_{y}. Is there a command for transforming it into the same field with polar coordinates and polar unit vectors?

How to draw slope field associated to differential equation: dy/dt = sin(ty) on Maple software?

It's possible to define a field in Maple 15 with 2 kinds of indices, say type spacetime μ,ν,ρ... and one of the type integer, i,j,k varying from 1 to n?

I would like to define a field like A_{μ}^{i} where:

A_{μ}^{1}=A_{μ}

A_{μ}^{2}=B_{μ }

and so on.

Thank you Washington Inacio

Hi everybody,

How can i plot a vector field and an animated curve on the same plotting window ?

Regards.

lol37.

I want to write this down in the maple:

V is a vector field namely(in cartesian coordinates) V:=VectorField(<u(x,y,z),v(x,y,z),w(x,y,z)>)

Now I want to make a vector like this:

(V.Del)V

which if write into components will be:

I am working with two multivariate functions A and B, with coefficients over a finite field. The x-degree of A is greater than or equal to B, which is greater than or equal to 1, and thus I want to find q and r such that:

A = q*B + r, where q, r are elements of K(y,z)[x], where K is my finite field. Obviously, I would like the x-degree of r to be less than that of B, and r not equal to 0.

My problem is this: the Rem and Quo commands, which will deal with my...

Hi,I am missing two options in the "fieldplot3d" command, which I am using in cylindrical coordinates: one is "style=contour" and the other is "axes=cylindrical" where apparently only the "axes=boxed" option as available. Any ideas how I can get this?

Or can I show a polar plane at one end of the cylinder? like in the post:http://www.mapleprimes.com/questions/38553-Plot-3D-Cylindrical-Coordinates

this is my plot:

with(plots):with(VectorCalculus):

Hi there,

I have a system of seven equations and want to make a phase plane with field arrows for two independent variables (C vs I). When I use DEplot it doesn't give me field with arrows. I just wonder if anybody could please help me in this issue. Here is my system:

dp/dt = P kappa I-gamma[1] CE- delta[1] CH

dE/dt = lambda E(E[0]-E)-gamma[1] C E

dI/dt = gamma[1] CE + eta Ia/(epsilon+K) -kappa I -alpha K I-delta[2] I M

dIa/dt = alpha K I+delta[2] I M

The order of 1 in any finite field (that I tried) created by GF is NULL. For example,

F:=GF(3,2): use F in order(one) end;

It should be 1.

Alec

Answering to that question, I posted several procedures finding minimal polynomials for the elements of finite fields. The best one was the following,

alias(a=RootOf(T^100+T^97+T^96+T^93+T^91+T^89+T^87+T^86+T^82+T^81+T^71+T^70+T^67+T^61+ T^60+T^57+T^54+T^53+T^52+T^49+T^48+T^45+T^44+T^42+T^39+T^36+T^33+T^32+T^31+T^29+T^28+T^27+ T^26+T^24+T^23+T^22+T^18+T^17+T^16+T^14+T^13+T^12+T^10+T^8+T^7+T^6+T^3+T+1)): F:=GF(2,100,op(a)): z:=F:-input(2): MinPolyGF:=proc(x,y:=_X) local A, i; A:=Matrix(100,...

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