
calculus - Why is "antiderivative" also known as "primitive ...
Jan 6, 2019 · While antiderivative, primitive, and indefinite integral are synonymous in the United States, other languages seem not to have any equivalent terms for antiderivative. As others …
Finding a primitive root of a prime number
May 16, 2023 · 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
What are primitive roots modulo n? - Mathematics Stack Exchange
The important fact is that the only numbers $n$ that have primitive roots modulo $n$ are of the form $2^\varepsilon p^m$, where $\varepsilon$ is either $0$ or $1$, $p$ is an odd prime, and …
elementary number theory - Find all the primitive roots of $13 ...
Jun 6, 2016 · 2 Primes have not just one primitive root, but many. So you find the first primitive root by taking any number, calculating its powers until the result is 1, and if p = 13 you must …
What is a primitive root? - Mathematics Stack Exchange
Sep 1, 2015 · I have read that, but essentially what I want to know is, can a primitive root be defined in a simpler, easier to understand way? For my level of mathematics, some of the …
The primitive $n^ {th}$ roots of unity form basis over $\mathbb {Q ...
Apr 10, 2024 · We fix the primitive roots of unity of order $7,11,13$, and denote them by $$ \tag {*} \zeta_7,\zeta_ {11},\zeta_ {13}\ . $$ Now we want to take each primitive root of prime order …
Antipode and primitive element in a Hopf algebra
Nov 12, 2024 · Antipode and primitive element in a Hopf algebra Ask Question Asked 1 year ago Modified 1 year ago
abstract algebra - Theorem on primitive n-th root of unity ...
Oct 13, 2020 · For example, if $\zeta$ is a primitive sixth root of unity, then so is $\zeta^5=\zeta^ {-1}$. Of course $\zeta^3=-1$ is not a primitive sixth root of unity; it is a primitive second root …
logic - To what extent can Primitive Recursion perform …
Jul 31, 2024 · In fact, primitive recursive functions can perform a huge variety of set-theoretic tasks, which makes primitive wellfounded recursion straightforward... Or at least, it's …
Ackermann Function primitive recursive - Mathematics Stack …
Here's a proof showing why Ackermann's function is not primitive recursive. The key to showing that A is not primitive recursive, is to find a properties shared by all primitive recursive …