In number theory, the Fermat quotient of an integer a with respect to an odd prime p is defined as or . This article is about the former; for the latter see p-derivation. The quotient is named after Pierre de Fermat. If the base a is coprime to the exponent p then Fermat's little theorem says that qp(a) will be an integer. If the base a is also a generator of the multiplicative group of integers modulo p, then qp(a) will be a cyclic number, and p will be a full reptend prime. (Wikipedia).
PreCalculus | Finding the difference quotient: Example 3
We present a few examples of calculating the difference quotient. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist PreCalculus
Ex 2: The Difference Quotient (Quadratic Function)
This video provides an example of how to find the difference quotient for a quadratic function. Site: http://mathispower4u.com
From playlist Determining Function Values
Theory of numbers: Fermat's theorem
This lecture is part of an online undergraduate course on the theory of numbers. We prove Fermat's theorem a^p = a mod p. We then define the order of a number mod p and use Fermat's theorem to show the order of a divides p-1. We apply this to testing some Fermat and Mersenne numbers to se
From playlist Theory of numbers
Prime Factorization - Fermat Algorithm
Description and example of getting the prime factors of a number using the Fermat algorithm. Questions? Feel free to post them in the comments and I'll do my best to answer!
From playlist Cryptography and Coding Theory
Simplify an expression by applying quotient rule of exponents
👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat
From playlist Simplify Using the Rules of Exponents | Quotient Rule
Learn the basics in simplifying an expression using the quotient rule of exponents
👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat
From playlist Simplify Using the Rules of Exponents | Quotient Rule
How can I find extreme values? - Week 4 - Lecture 10 - Mooculus
Subscribe at http://www.youtube.com/kisonecat
From playlist Ohio State: Jim Fowler's Calculus One Lectures | CosmoLearning Mathematics
algebraic geometry 31 Rational maps
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the definition of rational functions and rational maps, and gives an example of a cubic curve that is not birational to the affine line.
From playlist Algebraic geometry I: Varieties
Andrew Wiles: Fermat's Last theorem: abelian and non-abelian approaches
The successful approach to solving Fermat's problem reflects a move in number theory from abelian to non-abelian arithmetic. This lecture was held by Abel Laurate Sir Andrew Wiles at The University of Oslo, May 25, 2016 and was part of the Abel Prize Lectures in connection with the Abel P
From playlist Sir Andrew J. Wiles
Alessandra Sarti, Old and new on the symmetry groups of K3 surfaces
VaNTAGe Seminar, Feb 9, 2021
From playlist Arithmetic of K3 Surfaces
What is a difference quotient? How to find a difference quotient. Deriving it from the rise over run formula.
From playlist Calculus
Learn the basics for simplifying an expression using the rules of exponents
👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat
From playlist Simplify Using the Rules of Exponents | Quotient Rule
Simplifying a monomial using the rules of exponents
👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat
From playlist Simplify Using the Rules of Exponents | Quotient Rule
Andrew Wiles - The Abel Prize interview 2016
0:35 The history behind Wiles’ proof of Fermat’s last theorem 1:08 An historical account of Fermat’s last theorem by Dundas 2:40 Wiles takes us through the first attempts to solve the theorem 5:33 Kummer’s new number systems 8:30 Lamé, Kummer and Fermat’s theorem 9:10 Wiles tried to so
From playlist Sir Andrew J. Wiles
John Voight, Belyi maps in number theory: a survey
VaNTAGe Seminar, August 17, 2021 License CC-BY-NC-SA
From playlist Belyi maps and Hurwitz spaces
[ANT01] Algebraic number theory: an introduction, via Fermat's last theorem
The existence of the Euclidean algorithm is what makes multiplication in Z so nice. But some other rings have Euclidean algorithms too. Here's how we can exploit this for profit.
From playlist [ANT] An unorthodox introduction to algebraic number theory
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we give some classic examples of Picard groups of schemes: class numbers of various number fields, complex curves, and some rational surfaces.
From playlist Algebraic geometry II: Schemes
Learn how to simplify a monomial by applying quotient rule of exponents
👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat
From playlist Simplify Using the Rules of Exponents | Quotient Rule
Fukaya category for Landau-Ginzburg orbifolds and Berglund-HĂĽbsch homological...- Cheol-Hyun Cho
IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: Fukaya category for Landau-Ginzburg orbifolds and Berglund-HĂĽbsch homological mirror symmetry for curve singularities Speaker: Cheol-Hyun Cho Affiliation: Seoul National University Date: September 21, 2020 For more video please vi
From playlist Mathematics