AngouriMath
PeriodModulo(AngouriMath.Entity,PeterO.Numbers.EInteger,AngouriMath.Entity.Variable,AngouriMath.Entity.Set.SpecialSet)
Method (no overloads)
Summary
The period, in x , of an expression's residue modulo
modulus : the modulus for a polynomial with whole coefficients,
and with a powera^e of a whole base coprime to the modulus among the terms --
7^n - 4^n modulo 3 , 2^n + 1 modulo 7 -- the least common
multiple with the order of each base, sincea^(e + k) = a^e modulo m where a^k = 1 . Over the non-negative whole numbers only, where the powers are
whole;null for a base sharing a factor with the modulus, whose
powers repeat only eventually. Sullivan and Mackey's Ex 5.3.7 and §5.2.4 Try 3.
and with a power
multiple with the order of each base, since
whole;
powers repeat only eventually. Sullivan and Mackey's Ex 5.3.7 and §5.2.4 Try 3.
Angouri © 2019-2023 · Project's repo · Site's repo · Octicons · Transparency · 4378 pages online