Hello,
Can you tell me how to decompose a rational fraction into simple elements in Fp?

Thank you.

Hello,

I tried to apply Berlekamp's theory to the polynomial X^9+X^6-X+1 in F3.
The matrix of the linear application whose kernel dimension is sought is:

 The dimension should be equal to 2 according to the theory since this polynomial decomposes into 2 irreducible polynomials.
However, the nullspace instruction of maple does not give a result consistent with the theory. Please help me find what is happening.

Hello
Can you tell me how to use rank and nullspace instructions in linear algebra with maple 2023.
Here is a preview of my work that produces nothing?
Thanks

 I don't know how to solve with maple the following inequality with respect to the real variable x, n being an integer
Please tell me the procedure.

(f(x,n)>0 and (f(x,n)<0

f := (x, n) -> 2^n/(1 + n*2^n*x^2) - 2*x^2*(2^n)^2*n/(1 + n*2^n*x^2)^2

Hello,

 Can you tell me how I can create the variation tab of a function with Maple 2022?

Thanking you,
 
,DAVID CRESPIL