Items tagged with finite finite Tagged Items Feed

Maple sometimes decides that the plot needs to be plotted from -infinity to infinite when I do not want it to.  How Maple decides to do this seems inconsistent.  Some plots having a maximum value on the order of 10^3, get plotted on the infinite scale, while others do not.  On the other hand, other plots having a maximum value on the order of 10^-32 get plotted on the infinite scale, while others do not.  In any case, I would very much like to know what...

Hello,

I have an error in Maple 15, I dont understand why it doesnt work. I mention that in Maple 13 it works:

The code is

  L:=4:

sum(diff( (x^2-1)^l,x$l),l=0..L);

The error is:

Error, (in SumTools:-DefiniteSum:-ClosedForm) summand is singular in the interval of summation

Somebody can help me, please?

Thank you

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...

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,...