2019年1月6日 · 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. …

2015年1月3日 · 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

2019年4月29日 · 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 …

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. …

2023年9月29日 · 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.

2022年6月9日 · 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 …

2017年1月28日 · 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.

2024年11月12日 · 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 …

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 …

2020年10月18日 · Every non-primitive pythagorean triple is a multiple of a primitive pythogorean triple. So, if we know the primitive ones, we basically know them all. a2 +b2 =c2 − k a 2 + b 2 = c 2 k is …