MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015
In this video we continue discussing congruences and, in particular, we discuss solutions of linear congruences. The content of this video corresponds to Section 4.4 of my book "Number Theory and Geometry" which you can find here: https://alozano.clas.uconn.edu/number-theory-and-geometry/
From playlist Number Theory and Geometry
Number Theory | Congruence Modulo n -- Definition and Examples
We define the notion of congruence modulo n among the integers. http://www.michael-penn.net
From playlist Modular Arithmetic and Linear Congruences
Do you know the five tests for congruent triangles? In this video I explain congruence and go through some example problems. anime opening: https://www.youtube.com/watch?v=m1GIFsT5Yng
From playlist Geometry Revision
Congruent and Similar Triangles
working with similiar triangles, determining similar triangles http://mathispower4u.wordpress.com/
From playlist Geometry Basics
Introducing the Concept of Congruence
From playlist GeoGebra Geometry
Triangle Congruence (quick review)
More resources available at www.misterwootube.com
From playlist Further Properties of Geometrical Figures
Congruence Modulo n Arithmetic Properties: Equivalent Relation
This video explains the properties of congruence modulo which makes it an equivalent relation. mathispower4u.com
From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)
Proof: Every Prime has a Primitive Root
Introduction to order mod p: https://youtu.be/Ida2JWofuUA Video on Lagrange's theorem: https://youtu.be/DloZIQKpFNs?t=19 Explanation of what is a primitive root using the order mod p, along with a proof that every prime has at least one primitive root. Quadratic Residues playlist: https
From playlist Quadratic Residues
This is Lecture 8 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2001.pdf More information may
From playlist CSE547 - Discrete Mathematics - 1999 SBU
Supercongruences for Apery-like numbers by Brundaban Sahu
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
Profinite Completions and Representation Rigidity - Ryan Spitler
Arithmetic Groups Topic: Profinite Completions and Representation Rigidity Speaker: Ryan Spitler Affiliation: Rice University Date: February 02, 2022 Taking up the terminology established in the first lecture, in 1970 Grothendieck showed that when two groups (G,H) form a Grothendieck pai
From playlist Mathematics
Introduction to Congruent Triangles
Complete videos list: http://mathispower4u.yolasite.com/ This video will define congruent triangles and state the ways to prove two triangles are congruent.
From playlist Triangles and Congruence
Ben Green: Bob Hough's solution of Erdős's covering congruences conjecture
The lecture was held within the framework of the Hausdorff Trimester Program: Harmonic Analysis and Partial Differential Equations and the Workshop: Analytic Number Theory of the Hausdorff Center for Mathematics 16.07.2014 This video was created and edited with kind support from eCampus
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
What is a Tensor? Lesson 21: The Lie derivative
What is a Tensor? Lesson 21: The Lie derivative We reconstruct the notion of a vector space at a point in spacetime using the more fundamental exposition of tangent vectors to curves. Then we define a congruence of curves associated with a vector field and then we define the Lie derivativ
From playlist What is a Tensor?
An IMO Divisibility Problem [IMO 1964 Problem 1]
Today we solve problem 1 from IMO 1964. This problem asks us to find all positive integers n such that 2^n-1 is divisible by 7, and to prove that there are no positive integers n so that 2^n+1 is divisible by 7. We'll solve both parts of the problem using modular congruence! Stay tuned for
From playlist Coffee Time Math with Wrath of Math
Angelica Babei - A family of $\phi$-congruence subgroups of the modular group
In this talk, we introduce families of subgroups of finite index in the modular group, generalizing the congruence subgroups. One source of such families is studying homomorphisms of the modular group into linear algebraic groups over finite fields. In particular, we examine a family of no
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Modular Arithmetic Basics: Congruence mod n
Proofs of the multiplication rule: https://youtu.be/CzJ-i4z0I78 Video on the division algorithm: https://youtu.be/qEaxFxUK-es The fundamental definition and properties of congruence modulo n. We talk about how modular arithmetic is related to remainders, as well as the rules for addition
From playlist Modular Arithmetic
What is the Definition of Congruent Triangles - Congruent Triangles
👉 Learn about congruent triangles theorems. Two or more triangles (or polygons) are said to be congruent if they have the same shape and size. There are many methods to determine whether two triangles are congruent. Some of the methods include: (1) The SSS (Side Side Side) congruency the
From playlist Congruent Triangles