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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 …

  2. 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 …

  3. What is the integral of 1/x? - Mathematics Stack Exchange

    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 …

  4. 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

  5. Proof of existence of primitive roots - Mathematics Stack Exchange

    In my book (Elementary Number Theory, Stillwell), exercise 3.9.1 asks to give an alternative proof of the existence of a primitive root for any prime. Let p p be prime, and consider the group …

  6. Find all the primitive roots of - Mathematics Stack Exchange

    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 …

  7. integration - Primitive of an $L^1$ function is continuous ...

    Oct 31, 2015 · The primitive of a continuous function on a compact interval is continuous via the Fundamental Theorem of Calculus. Let I ⊂R I ⊂ R be open and let u′: I¯¯¯ ↦R u: I ↦ R be …

  8. Product of two primitive polynomials - Mathematics Stack Exchange

    The part "fg f g primitive f f and g g primitive" is the trivial part both you and the question deal with. If f f or g g would be divisible be a non-unit in R R, then so would fg f g, that's all. The question …

  9. The primitive $n^ {th}$ roots of unity form basis over $\mathbb {Q ...

    Apr 10, 2024 · Suppose the primitive nth n t h roots of unity, denoted {1,η(1) n, …,η(k−1) n} {1, η n (1),, η n (k 1)} do not form a basis for the cyclotomic field of nth n t h roots of unity over Q Q. …

  10. complex analysis - Do holomorphic functions have primitive ...

    Mar 16, 2022 · Do holomorphic functions have primitive? Ask Question Asked 3 years, 4 months ago Modified 3 years, 4 months ago