Math subsets are an important concept to understand. So what is the subset definition in math? What is a subset? We go over that part of set theory in this video as well as some details on the empty set and its subset properties. Enjoy! I hope you find this video helpful, and be sure to a
From playlist Set Theory
This video explains what is taught in discrete mathematics.
From playlist Mathematical Statements (Discrete Math)
Formal Definition of a Function using the Cartesian Product
Learning Objectives: In this video we give a formal definition of a function, one of the most foundation concepts in mathematics. We build this definition out of set theory. **************************************************** YOUR TURN! Learning math requires more than just watching vid
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Maths for Programmers: Sets (DeMorgan’s Law (Examples))
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From playlist Maths for Programmers
Maths for Programmers: Sets (The Universe & Complements)
We're busy people who learn to code, then practice by building projects for nonprofits. Learn Full-stack JavaScript, build a portfolio, and get great references with our open source community. Join our community at https://freecodecamp.com Follow us on twitter: https://twitter.com/freecod
From playlist Maths for Programmers
Fundamentals of Mathematics - Lecture 25: Quotient Maps (Real Projective Line, Modular Arithmetic)
course page - https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html videography - Eric Melton, UVM
From playlist Fundamentals of Mathematics
Number theory Full Course [A to Z]
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure #mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, ratio
From playlist Number Theory
Vexels and Polynumbers via Multisets | Algebraic Calculus One | Wild Egg
In this video we introduce a data structure definition of polynomial, which we call a polynumber. This builds on the idea of a vexel, which is a more general data structure object generalizing the idea of a vector. In this way we are able to side step the vexing issue of defining precisely
From playlist Algebraic Calculus One from Wild Egg
What are equal sets? Subsets in math is an important concept for understanding the definition of equality in set theory. In this video we define equality in sets, which is fairly simple. One of the properties of equal sets is that if sets A and B are equal, then A is a subset of B and B is
From playlist Set Theory
Markus Whiteland : k-abelian singletons and Gray codes for Necklaces
Abstract : k-abelian singletons in connection with Gray codes for Necklaces. This work is based on [1]. We are interested in the equivalence classes induced by k-abelian equivalence, especially in the number of the classes containing only one element, k-abelian singletons. By characterizin
From playlist Combinatorics
Topology Without Tears - Video 4a - Writing Proofs in Mathematics
This is part (a) of the fourth video in a series of videos which supplement my online book,"Topology Without Tears", which is available free of charge at www.topologywithouttears.net Video 4 focusses on the extemely important topic of writing proofs.
From playlist Topology Without Tears
Some Small Ideas in Math: A Set of Measure Zero Versus a Set of First Category (Meager Sets)
There are a ton of different ways to define what it means for a set to be "small". Here, we will focusing on the difference between a set of measure zero versus a set of first category by using examples to demonstrate that they are different sizing methods. Depending on the context of the
From playlist The New CHALKboard
We look at how to prove basic results involving sets. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespring.com/stores/michael-penn-math Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randolphcollege.edu/mat
From playlist Proof Writing
We present a solution to question A2 from the 2018 William Lowell Putnam Mathematics Competition. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Putnam Exam Solutions
We give a solution to question A1 from the 2010 William Lowell Putnam Mathematics Competition. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Putnam Exam Solutions: A1/B1
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From playlist Science Unplugged: Mathematics
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From playlist Proof Writing
Martin Hötzel Escardó: Constructive Mathematics in Univalent Type Theory (Lecture I)
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions
From playlist HIM Lectures: Trimester Program "Types, Sets and Constructions"
Introduction to sets || Set theory Overview - Part 2
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty
From playlist Set Theory
Many Nodal Domains in Random Regular Graphs - Nikhil Srivastava
Computer Science/Discrete Mathematics Seminar I Topic: Many Nodal Domains in Random Regular Graphs Speaker: Nikhil Srivastava Affiliation: University of California, Berkeley Date: April 04, 2022 A nodal domain of a Laplacian eigenvector of a graph is a maximal connected component where i
From playlist Mathematics