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
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)
Triangle Congruence (quick review)
More resources available at www.misterwootube.com
From playlist Further Properties of Geometrical Figures
Congruent and Similar Triangles
working with similiar triangles, determining similar triangles http://mathispower4u.wordpress.com/
From playlist Geometry Basics
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
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
Number Theory - Basics of Congruences
From playlist ℕumber Theory
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
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
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
In this video we do continue our introduction to congruences, and we discuss and prove some of the basic properties that make congruences very useful. The content of this video corresponds to Section 4.2 of my book "Number Theory and Geometry" which you can find here: https://alozano.clas
From playlist Number Theory and Geometry
Modular Arithmetic -- Number Theory 8
Suggest a problem: https://forms.gle/ea7Pw7HcKePGB4my5 Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math Personal Website: http://www.michael-penn.net Randolp
From playlist Number Theory v2
Modular Arithmetic Number Theory 8
⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn ⭐my other channels⭐ Main Channel: https://www.youtube.com/michaelpennmath non-math podcast: http
From playlist Number Theory
The congruence subgroup property for SL(2,Z) - William Yun Chen
Arithmetic Groups Topic: The congruence subgroup property for SL(2,Z) Speaker: William Yun Chen Affiliation: Member, School of Mathematics Date: November 10, 2021 Somehow, despite the title, SL(2,Z) is the poster child for arithmetic groups not satisfying the congruence subgroup property
From playlist Mathematics
Identifying congruent parts between two polygons
👉 Learn how to solve with similar polygons. Two polygons are said to be similar if the corresponding angles are congruent (equal). When two polygons are similar the corresponding sides are proportional. Knowledge of the length of the sides or the proportion of the side lengths of one of th
From playlist Congruent Polygons
Everything you need to know about operations in modular arithmetic
First video ever: https://youtu.be/oOsYACy0UUY Previous video (LaGrange and Chinese remainder theorem): https://youtu.be/iIV9tdmWYmU Congruence relations only work for integers, so can we do division on them? The answer is more complicated than you think - "well no, but actually yes". We
From playlist Modular arithmetic