Modular arithmetic | Theorems in number theory
In mathematics, Kronecker's congruence, introduced by Kronecker, states that where p is a prime and Φp(x,y) is the modular polynomial of order p, given by for j the elliptic modular function and τ running through classes of imaginary quadratic integers of discriminant n. (Wikipedia).
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
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)
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
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
Geometry of the eigencurve at CM points and trivial zeros... by Mladen Dimitrov
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
Introducing the Concept of Congruence
From playlist GeoGebra Geometry
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
on the Brumer-Stark Conjecture (Lecture 2) by Samit Dasgupta
PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla
From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)
Introduction to Witt vectors, delta-rings, and prisms (Lecture 2) by James Borger
PERFECTOID SPACES ORGANIZERS : Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri and Narasimha Kumar Cheraku DATE & TIME : 09 September 2019 to 20 September 2019 VENUE : Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknat
From playlist Perfectoid Spaces 2019
Congruent and Similar Triangles
working with similiar triangles, determining similar triangles http://mathispower4u.wordpress.com/
From playlist Geometry Basics
Bryna Kra : Multiple ergodic theorems: old and new - lecture 2
Abstract : The classic mean ergodic theorem has been extended in numerous ways: multiple averages, polynomial iterates, weighted averages, along with combinations of these extensions. I will give an overview of these advances and the different techniques that have been used, focusing on co
From playlist Dynamical Systems and Ordinary Differential Equations
Kenichi Bannai - Shintani generating class and the p-adic polylogarithm for totally real fields
The organizer is sorry for the technical problem that a part of the slides is hidden. In this talk, we will give a new interpretation of Shintani's work concerning the generating function of nonpositive values of Hecke L-functions for totally real fields. In particular, we will construct
From playlist Conférences Paris Pékin Tokyo
TeraLasso for sparse time-varying image modeling - Hero - Workshop 2 - CEB T1 2019
Alfred Hero (Univ. of Michigan) / 15.03.2019 TeraLasso for sparse time-varying image modeling. We propose a new ultrasparse graphical model for representing time varying images, and other multiway data, based on a Kronecker sum representation of the spatio-temporal inverse covariance ma
From playlist 2019 - T1 - The Mathematics of Imaging
Levi-Civita and Kronecker: A Remarkable Relationship | Deep Dive Maths
There is a remarkable relationship between the product of two Levi-Civita symbols and the determinant of a matrix with the Kronecker delta as elements. After defining the Levi-Civita symbol and the Kronecker delta, I show how to derive this relationship using permutation matrices and the
From playlist Deep Dive Maths
some2: transforming normals part 3
Some2 submission version Part1 intro: https://youtu.be/BWr0gQoyUEM Part2: concepts and intuitions: https://youtu.be/QLPcBi47Wzk Part 3: this video This is for Some2. #SoME2 #3b1b All the manim source code will be published soon. License: CC BY-NC-SA 2.0
From playlist Summer of Math Exposition 2 videos
The little known Kronecker Product
This is a submission to the second 3blue1brown Summer of Math Exposition2. #some2 ****************** References : * https://en.wikipedia.org/wiki/Kronecker_product * https://www.math.uwaterloo.ca/~hwolkowi/henry/reports/kronthesisschaecke04.pdf Check out the NPTEL video lectures by Pr
From playlist Summer of Math Exposition 2 videos
Geometric complexity theory from a combinatorial viewpoint - Greta Panova
Computer Science/Discrete Mathematics Seminar II Topic: Lattices: from geometry to cryptography Speaker: Greta Panova Affiliation: University of Pennsylvania; von Neumann Fellow, School of Mathematics Date: November 28, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Number Theory | Some properties of integer congruence.
We examine some basic properties of congruence modulo n among the integers.
From playlist Modular Arithmetic and Linear Congruences