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 integral of p p. …

Sep 29, 2023 · There is only one primitive quadratic Dirichlet character modulo N N, namely the one induced by (Δ(⋅) (Δ ( ⋅ ), where Δ Δ is the discrimininant with absolute value N N.

I'm asked the following question: Prove that b b is a primitive root modulo p p the smallest positive exponent e e such that be ≡ 1 (mod p) b e ≡ 1 (mod p) is p − 1 p 1. I know that this could probably be …

Jan 28, 2017 · Artin-Wedderburn matrix decomposition holds for every semisimple ring. The first chapter of T.Y. Lam's book "A first course in noncommutative rings" should have everything you need.

Jun 9, 2022 · A maximal closed subgroup of SUn S U n is (almost) always primitive, see Properties of primitive matrix groups for the exception. And in particular a maximal closed subgroup which is finite …

Jul 31, 2021 · However, it is the set, rather than the tuple, that is chosen as the primitive object. Why is it useful for the foundations of mathematics that sets have very little "structure", and would their be any …

Mar 23, 2019 · There are indeed ϕ(ϕ(31)) = 8 ϕ (ϕ (31)) = 8 primitive roots modulo 31 31 and you can find them as described here: Finding a primitive root of a prime number For example, 3k ≡ 1 mod 31 …

Apr 19, 2020 · If function is Riemann integrable on a closed interval, does it have a primitive function on the interval? Ask Question Asked 5 years, 9 months ago Modified 5 years, 9 months ago

Nov 1, 2017 · The ring M2(Z) M 2 (Z) won't work: being right primitive is a Morita invariant property, so Z Z would also have to have that property. But a commutative primitive ring is a field, so Z Z is not …

Feb 12, 2018 · Primitive of a Group Action Ask Question Asked 7 years, 11 months ago Modified 7 years, 11 months ago