Raffaella Mulas - Spectral theory of hypergraphs
Hypergraphs are a generalization of graphs in which vertices are joined by edges of any size. In this talk, we generalize the graph normalized Laplace operators to the case of hypergraphs, and we discuss some properties of their spectra. We discuss the geometrical meaning of the largest an
From playlist Research Spotlight
What are Hyperbolas? | Ch 1, Hyperbolic Trigonometry
This is the first chapter in a series about hyperbolas from first principles, reimagining trigonometry using hyperbolas instead of circles. This first chapter defines hyperbolas and hyperbolic relationships and sets some foreshadowings for later chapters This is my completed submission t
From playlist Summer of Math Exposition 2 videos
In this video, we look at hyperbolas: How to graph them, how to find the asymptotes of hyperbolas, how to find the x and y intercepts of hyperbolas. Hyperbolas are the reciprocal of linear functions, and this provides an easy way to remember which side the hyperbola is on. 👍 If you like
From playlist Functions
10. Szemerédi's graph regularity lemma V: hypergraph removal and spectral proof
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX In this first half of this lecture, Prof. Zhao shows how
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
Hyperbola 3D Animation | Objective conic hyperbola | Digital Learning
Hyperbola 3D Animation In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other an
From playlist Maths Topics
A Tight Bound for Hypergraph Regularity - Guy Moshkovitz
Computer Science/Discrete Mathematics Seminar I Topic: A Tight Bound for Hypergraph Regularity Speaker: Guy Moshkovitz Affiliation: Harvard University Date: Febuary 27, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
The method of hypergraph containers – József Balogh & Robert Morris – ICM2018
Combinatorics Invited Lecture 13.6 The method of hypergraph containers József Balogh & Robert Morris Abstract: In this survey we describe a recently-developed technique for bounding the number (and controlling the typical structure) of finite objects with forbidden substructures. This te
From playlist Combinatorics
Generalized Hypergeometric Functions
https://en.wikipedia.org/wiki/Generalized_hypergeometric_function https://en.wikipedia.org/wiki/Gaussian_hypergeometric_series If you have any questions of want to contribute to code or videos, feel free to write me a message on youtube or get my contact in the About section or googling Ni
From playlist Analysis
I work through 2 examples of Application of Hyperbolas Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage www.YouTube.com/Profrobbob
From playlist PreCalculus
In this video, I introduce the hyperbolic coordinates, which is a variant of polar coordinates that is particularly useful for dealing with hyperbolas (and 3 dimensional versions like hyperboloids of one sheet or two sheets). Suprisingly (or not), they involve the hyperbolic trig functions
From playlist Double and Triple Integrals
Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 2
Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of
From playlist Hypergeometric Functions, Character Sums and Applications
Combinatorial Theorems in Random Sets - David Conlon
David Conlon University of Cambridge November 22, 2010 The famous theorem of Szemerédi says that for any natural number kk and any a greater than 0a greater than 0 there exists n such that if N greater than or =nN greater to or =n then any subset AA of the set [N]=1,2,...,N[N]=1,2,...,N o
From playlist Mathematics
The Green-Tao theorem and a relative Szemeredi theorem - Yufei Zhao
Yufei Zhao Massachusetts Institute of Technology March 3, 2014 The celebrated Green-Tao theorem states that there are arbitrarily long arithmetic progressions in the primes. In this talk, I will explain the ideas of the proof and discuss our recent simplifications. One of the main ingredie
From playlist Mathematics
Bernd Schulze: Characterizing Minimally Flat Symmetric Hypergraphs
Scene analysis is concerned with the reconstruction of d-dimensional objects, such as polyhedral surfaces, from (d-1)-dimensional pictures (i.e., projections of the objects onto a hyperplane). This theory is closely connected to rigidity theory and other areas of discrete applied geometry,
From playlist HIM Lectures 2015
Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 3
Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of
From playlist Hypergeometric Functions, Character Sums and Applications
The Green-Tao theorem and a relative Szemeredi theorem - Yufei Zhao
Slides for this talk: https://drive.google.com/file/d/1RdgY6N869MN5lJwl2jv1HwIgWky6aW5C/view?usp=sharing The Green-Tao theorem and a relative Szemeredi theorem - Yufei Zhao Abstract: The celebrated Green-Tao theorem states that there are arbitrarily long arithmetic progressions in the p
From playlist Mathematics
Extremal Problems for Uniformly Dense Hypergraphs - Mathias Schacht
Computer Science/Discrete Mathematics Seminar I Topic: Extremal Problems for Uniformly Dense Hypergraphs Speaker: Mathias Schacht Affiliation: Universität Hamburg Date: March 20, 2023 Extremal combinatorics is a central research area in discrete mathematics. The field can be traced back
From playlist Mathematics
19. Roth's theorem II: Fourier analytic proof in the integers
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX This lecture covers Roth's original proof of Roth's theor
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 7
Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of
From playlist Hypergeometric Functions, Character Sums and Applications
Introduction to Continuous Combinatorics II: semantic limits - Leonardo Coregliano
Computer Science/Discrete Mathematics Seminar II Topic: Introduction to Continuous Combinatorics II: semantic limits Speaker: Leonardo Coregliano Affiliation: Member, School of Mathematics Date: November 09, 2021 The field of continuous combinatorics studies large (dense) combinatorial s
From playlist Mathematics