Hi EveryOne!

I have polynomial: p(x) = x^4 + 27x^3 + x^2 + 16x +1 over finite field F=GF(2^8)/f(x)=x^8 + x^4 +x^3 +1

The factors of this polynomial are: (x + 37)(x + 217)(x^2 + 213x +30) (in maple)

Hence there two roots of p(x): x = 37 and x = 217 in GF(2^8). The factor x^2 + 231x +30 is of degree 2. There are not roots in F. But in extension field GF((2^8)^2) of F, also there are two roots of factor x^2 + 213x + 30 (for example: x = 256 and x = 256^256 = 487).

How to find these roots of p(x) in extension field GF((2^8)^2) by maple? Please help me! Thanks a lot.

So I've been trying to plot a parametric equation with the command:

But I keep recieving the error: Error, (in plot) incorrect first argument [cos(2*t)+sin(2*t), -2*sin(2*t)+2*cos(2*t), t = 0 .. 6.29]

Do any of you have an idea of what I'm doing wrong?

I have written the code below, and received the error message in the bottom. Can any body help me?

> with(plots);

> u := 100*sin((1/2)*pi*x)*((1-cosh(pi))*sinh((1/2)*pi*y)+sinh(pi)*cosh((1/2)*pi*y))/sin(pi);

> implicitplot({u = 10, u = 20, u = 30, u = 40, u = 50, u = 60, u = 70, u = 80, u = 90}, x = 0 .. 2, y = 0 .. 2, grid = [100, 100]);

Error, (in plots/implicitplot) invalid input: the following extra unknowns were found in the input expression: {pi}
>

Hey

As a lot of people before me I'm severely dissappointed my Maple's ability to export a .mw file to .tex.

The output looks horrible and even disappears off the side of the page in some places.

I've searched far and wide on the internet but it's difficult for me to understand the few, outdated, results I've dug up.

Is it completely impossible to get my hands on a good (or just working) Maple 18 to LaTex exporter? It's not possible for me to begin coding my own.

So I paid for Maple 2015 and accidentaly mistyped my email address.  I was wondering if there is anyway that I can resend the same download to the correct email address.  If anyone can help this would be greatly appreciated.

Hi all,

The following command:

limit(CDF(cos(RandomVariable(Normal(0,1))),x),x=infinity);

returns erf(Pi/sqrt(2)) instead of 1, as expected for a CDF.

Does someone has an explanation for this strange behaviour?

Best regards,

Régis

Hello,

I'm trying to define a matrix that will have all the possible game results in a 9 team competition in one round. The results are a column in the form [game 1 home team, game 1 away team, game 2 home team, ... , game 9 away team]

This should give me a matrix with 18 rows, and 512 columns, where each column is a possible game result.

In essense, to continue the pattern of this matrix on for all 512 columns.

I've fiddled with for statements, but it ends up getting very messy given the number of nests that are required.

Thoughts? Any help would be much appreciated,

Thanks, Alex, Australia.

Hi Maple People,

I got stuck trying to write a procedue for my project today.  My topic is Prime Constellations.

If you want to help me, please read my primer on constellations

https://docs.google.com/viewer?a=v&pid=sites&srcid=ZGVmYXVsdGRvbWFpbnxwcmltZWNvbnN0ZWxsYXRpb25zfGd4OjNmOWZlNWQxZDY2ODY4YmQ

The procedure should refine an offset Vector and increase a multiplier scalar.

I want to delay putting the broken procedure until I can simplify it and try again.

Thanks,

Matt Anderson

hi friends

I encountered a problem and I can not draw the plot of this code

> sol := fsolve({diff(S, x) = 0, diff(S, y) = 0}, {x, y});

> with(VectorCalculus);
> with(linalg);
> s1 := evalf(subs(sol, linalg[grad](S, [x, y])));

> with(VectorCalculus);
> with(LinearAlgebra);
> s2 := evalf(subs(sol, linalg[hessian](S, [x, y]))); pmp0 := [x-subs(sol, x), y-subs(sol, y)]; sapprox := s0+evalm(`&*`(`&*`(transpose(pmp0), s2), pmp0));
> with(Statistics);
>
> with(stats); statevalf[icdf, chisquare[4]](.95);

> with(VectorCalculus);
> with(plottools);
> with(plots);
> with(linalg); ellips := {seq(stats*([statevalf[icdf, chisquare[4]]])(c) = sapprox, c = [.5, .95, .999])};
> plots(ellips(x, y), x = 950 .. 1000, y = 700 .. 750, grid = [50, 50], view = [950 .. 1000, 700 .. 750]);

can you helpe me?Thank you

Hi,

I want to display several plots insequence and tried creating a list of polygonplot3d objects called "plotlist" and using them as an argument like this:

display(plotlist)

which triggered the error message:

Error, (in plots:-display) expecting plot structure but received: plotlist

Where's my mistake and how could I achieve the desired outcome? (displaying polygon3dplots in sequence)

Best Regards

Good day everyone,

Please I do get numerical output/values in this solution U1.mw

Best regards

please help me a bout:

> u := am+bm*m0*x(t)+cm*n0*y(t);
> v := an+bn*m0*x(t)+cn*n0*y(t);
> eq1 := diff(x(t), t) = 2*A*(sinh(u)-x(t)*cosh(u));
> eq2 := diff(y(t), t) = 2*A*(sinh(v)-y(t)*cosh(v));
> init := x(0) = X, y(0) = Y;
> sol := dsolve({eq1, eq2, init}, {x(t), y(t)});
> param := A = 1/2, am = 0, bm = 1.2*exp(-4), cm = .5*exp(-5), m0 = 10000, an = 0, bn = -exp(-4), cn = 1.2*exp(-3), n0 = 1000;
> ;
> save u, v, param, " narm.sav";
Warning, unassigned variable `u` in save statement
Warning, unassigned variable `v` in save statement
Warning, unassigned variable `param` in save statement
> init := x(0) = 0, y(0) = 0.1e-1;
> eq1 := subs(param, eq1);
> eq2 := subs(param, eq2);
> sol := dsolve({eq1, eq2, init}, {x(t), y(t)}, numeric);
> with(plots);
> odeplot(sol, [x(t), y(t)], 0 .. 60, numpoints = 300, view = [-1 .. 1, -1 .. 1]);

How do I control colors in such Maple program using plot3d? Is it possible to define the conditions?

> restart: with(plots):
      mandelbrot := proc(x, y)
     local c, z, m;
     c := evalf(x+y*I);
     z := c;
     for m from 0 to 30 while abs(z) < 2 do
        z := z^2+c
        od;
        m
     end:
 >    plot3d(0, -2 .. 0.7, -1.2 .. 1.2, orientation=[-90,0], grid=[40, 40], 
       style=point, scaling=constrained, color=mandelbrot);

I have a (251*1) vector for which I need to compute the cumulative sum. I'm currently using :

s:=Statistics[CumulativeSum](prices[1..251,1])

defined under the Statistics package but this method doesn't return an output, even though the argument passed is a vector.

Is there another method I can use?

dx/dt=2x(1-x/2)-xy, 

dy/dt=y(9/4 -y^2)-(x^2)y