## 20 Reputation

10 years, 106 days

## Multiplication table...

Maple

Consider the ring R of upper-triangular matrices over the field of 3 elements.  I would like to have a multiplication table for this ring. Is it possible to generate such a table in Maple?  Thank you.

## Binomial coefficients...

Maple

I want to compute binomial coefficients mod 2 in Maple.  My numbers are getting big and the standard function binomial(n, k) is very slow. Is there a maple procedure or function which will be fast for computing this mod 2?  (I know how to do this theoretically, but not in maple.) Thank you for your help.

## Reduce the exponents of a polynomial mod...

Maple

Dear Maple experts:

I have a very simple question:

I have a polynomial p(x) with integer coefficients and a prime p.  I want to reduce the exponents of this polynomial mod p.  So for example, if p(x) = 1 + x^3 + x^17 + x^19 and p is 17. Then I want Maple to output 1+x^3+1+x^2.

I know how to reduce the coefficients mod p, but not the exponents. Can someone suggest how I might go about doing this.  Thank you very much for your help.

Best wishes

Sunil

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