Jan 6, 2019 · The so-called primitive function f f, which was the starting point and so came first, the root meaning of primitive (Lat. primus, first), is what we might call an antiderivative or …

Jun 6, 2016 · Find all the primitive roots of 13 13 My attempt: Since that 13 13 is a prime I need to look for g g such that g13−1 ≡ 1 (mod 13) g 13 − 1 ≡ 1 (mod 13) There are ϕ(12) = 4 ϕ (12) = 4 …

Oct 24, 2011 · 14 There is another example of a non-primitive-recursive but total computable function that explains better what the restricted definition of primitive recursion entails. Each …

Dec 7, 2020 · Primitive recursion does allow the "next-step-provider" h h to see both inputs and the previous value, but we don't need to use that information. In most natural examples I think …

Sep 1, 2015 · Primitive roots are generators of the multiplicative group of integers modulo n, which is useful in proofs. Moreover primitive roots are difficult to compute in some groups, and …

I'm trying to understand what primitive roots are for a given mod n mod n. Wolfram's definition is as follows: A primitive root of a prime p p is an integer g g such that g (mod p) g (mod p) has …

Mar 16, 2022 · Let f: Ω → C be called holomorphic on Ω if it is complex-differentiable on Ω.Define primitive of F on Ω to be a function such that F ′ (z) = f(z) for all z ∈ Ω.We have shown in a …

Jun 9, 2012 · As others have mentioned, we don't know efficient methods for finding generators for (Z/pZ)∗ (ℤ / p ℤ) ∗ without knowing the factorization of p − 1 p − 1. However, you can …

Jul 31, 2010 · 9 What is a primitive polynomial? I was looking into some random number generation algorithms and 'primitive polynomial' came up a sufficient number of times that I …

Jan 20, 2021 · Answers to the question of the integral of 1 x 1 x are all based on an implicit assumption that the upper and lower limits of the integral are both positive real numbers. If we …