Hypergraphs | Families of sets
In mathematics, Property B is a certain set theoretic property. Formally, given a finite set X, a collection C of subsets of X has Property B if we can partition X into two disjoint subsets Y and Z such that every set in C meets both Y and Z. The property gets its name from mathematician Felix Bernstein, who first introduced the property in 1908. Property B is equivalent to 2-coloring the hypergraph described by the collection C. A hypergraph with property B is also called 2-colorable. Sometimes it is also called bipartite, by analogy to the bipartite graphs.Property B is often studied for uniform hypergraphs (set systems in which all subsets of the system have the same cardinality) but it has also been considered in the non-uniform case. The problem of checking whether a collection C has Property B is called the set splitting problem. (Wikipedia).
What are Supersets? | Set Theory, Subsets, Set Relations
What are supersets? We'll be going over the definition and examples of supersets in today's video set theory lesson! If B is a subset of A then A is a superset of B. The superset relation is the same as the subset relation but in the opposite direction! Remember if every element of B is
From playlist Set Theory
From playlist Linear Algebra Ch 8 (updated Jan2021)
Ex: Write a Linear Relation as a Function
The video explains how to write a linear relation as a function.
From playlist Determining Function Values
The Domain of a Vector Valued Function
This video explains how to determine the domain of a vector valued function. http://mathispower4u.yolasite.com/
From playlist Vector Valued Function
Introduction to Vector Valued Functions
This video introduces vector valued functions. http://mathispower4u.yolasite.com/
From playlist Vector Valued Function
The Mean Value Theorem From Calculus Explanation and Example of Finding c
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Mean Value Theorem From Calculus Explanation and Example of Finding c
From playlist Calculus 1 Exam 2 Playlist
Using the ivt to show a value c exists with a given range
👉 Learn about the intermediate value theorem. The intermediate value theorem states that if a continuous function, f, with an interval [a, b], as its domain, takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the
From playlist Intermediate Value Theorem of Functions
Find the B-Coordinates of a Vector in a Subspace with an Orthogonal Basis
This video explains how to determine the B-coordinates of a vector in a subspace of R2 with an orthogonal basis
From playlist Orthogonal and Orthonormal Sets of Vectors
Maths ASMR: Fireside Textbook Reading
Oxford mathematician Dr Tom Crawford reads from the textbook "Introduction to Real Analysis" by Donald Sherbert and Robert Bartle at fireside. Buy the book for yourself here: https://amzn.eu/d/f7sxwPM Part I: The algebraic and order properties of the real numbers Part II (16:59): Absol
From playlist Director's Cut
301.2B Basic Properties of Groups
A group in abstract algebra is a relatively simple structure — but in this video we see how that simple structure enables us to do a lot of what we understand as basic algebra, such as solving equations via cancellation, and having unique identity and inverses.
From playlist Modern Algebra
Abstract Algebra - 2.3 Elementary Properties of a Group
We look closely at a few of the properties of groups and their proofs, including cancellation, uniqueness of inverses and identities and the socks-shoes property. We will utilize the WTS, Given, Proof format for our proofs. We will also compare the multiplicative and additive notations and
From playlist Abstract Algebra - Entire Course
Lecture 3: Cantor's Remarkable Theorem and the Rationals' Lack of the Least Upper Bound Property
MIT 18.100A Real Analysis, Fall 2020 Instructor: Dr. Casey Rodriguez View the complete course: http://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61O7HkcF7UImpM0cR_L2gSw Finishing the lecture on Cantor’s notion of
From playlist MIT 18.100A Real Analysis, Fall 2020
Algebraic Properties Part 3 , Intermediate Algebra , Lesson 20
This tutorial explains how we can use the addition property of zero and the additive inverse property, to take an expression and write it in a different form. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)
From playlist Intermediate Algebra
Properties of determinants of matrices | Lecture 31 | Matrix Algebra for Engineers
Fundamental properties of the determinant function. Join me on Coursera: https://www.coursera.org/learn/matrix-algebra-engineers Lecture notes at http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmat
From playlist Matrix Algebra for Engineers
Math 023 Fall 2022 110222 More about logarithms
Review: what does log_b(x) mean? As a value, it is the unique exponent to which one raises b to obtain x; as a function, it is the inverse to the b^x function. Slightly complicated exercises: evaluate the logarithms. Comment that these functions are one-to-one (and thus preserve equalit
From playlist Course 1: Precalculus (Fall 2022)
Discrete Math - 9.1.2 Properties of Relations
Exploring the properties of relations including reflexive, symmetric, anti-symmetric and transitive properties. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list...
From playlist Discrete Math I (Entire Course)
Gilles Pisier - Propriétés de relèvement pour les 𝐶^∗-algèbres : du local au global ?
The main problem we will consider is whether the local lifting property (LLP) of a $C^*$-algebra implies the (global) lifting property (LP). Kirchberg showed that this holds if the Connes embedding problem has a positive solution, but it might hold even if its solution is negative. We will
From playlist Annual meeting “Arbre de Noël du GDR Géométrie non-commutative”
Math 101 091117 Introduction to Analysis 05 Absolute Value
Absolute value: definition. Notion of distance. Properties of the absolute value: proofs. Triangle inequality
From playlist Course 6: Introduction to Analysis (Fall 2017)
Gilles Pisier: The lifting property for C*-algebras
Talk by Gilles Pisier in Global Noncommutative Geometry Seminar (Americas) on January 14, 2022 in https://globalncgseminar.org/talks/the-lifting-property-for-c-algebras/
From playlist Global Noncommutative Geometry Seminar (Americas)