calculus - Why is "antiderivative" also known as "primitive ...
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. …
Finding a primitive root of a prime number
Jan 3, 2015 · How would you find a primitive root of a prime number such as 761? How do you pick the primitive roots to test? Randomly? Thanks
Primitive roots in arithmetic progression - Mathematics Stack Exchange
Apr 29, 2019 · Let a a be a primitive root modulo odd prime. Show that in an arithmetic progression a + kp a + k p, where k = 0, 1, …, p − 1 k = 0, 1,, p 1 there is exactly one number that is NOT a primitive …
What is a primitive polynomial? - Mathematics Stack Exchange
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 decided to look into it in more detail. …
When are Idempotents elements of a semisimple algebra primitive
Jun 26, 2024 · At least in the context of group algebras over C C primitive central idempotent means that such an idempotent cannot be written as a sum of two orthogonal central idempotents. In the case of …
algebraic number theory - Proving Dirichlet character is primitive ...
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.
Primitive subgroup of $ SU_n - Mathematics Stack Exchange
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 …
Antipode and primitive element in a Hopf algebra
Nov 12, 2024 · So if there are any primitive elements and we're working in characteristic zero, then the n n th power of each primitive will satisfy your property. Note that the n n th power xn x n of a primitive …
Basis of primitive nth Roots in a Cyclotomic Extension?
In general, the primitive n n th roots of unity in the n n th cyclotomic field form a normal basis over Q Q if and only if n n is squarefree. A little bit of research didn't turn up any results, except apparently the …
primitive idempotents in semisimple rings - Mathematics Stack Exchange
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.