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  1. 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. …

  2. 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 …

  3. 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

  4. 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. …

  5. What are primitive roots modulo n? - Mathematics Stack Exchange

    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 …

  6. When are Idempotents elements of a semisimple algebra primitive

    Jun 26, 2024 · 1 Based on the comments, a primitive central idempotent is a central idempotent that cannot be written as a sum of two central orthogonal idempotents. If we define that a primitive …

  7. 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.

  8. 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.

  9. Why choose sets to be the primitive objects in mathematics rather than ...

    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 …

  10. algebra precalculus - A very different property of primitive ...

    Dec 9, 2016 · A very different property of primitive Pythagorean triplets: Can number be in more than two of them? Ask Question Asked 9 years, 1 month ago Modified 4 years, 5 months ago