In a naive set theory, a nested set is a set containing a chain of subsets, forming a hierarchical structure, like Russian dolls. It is used as reference-concept in all scientific hierarchy definitions, and many technical approaches, like the tree in computational data structures or nested set model of relational databases. Sometimes the concept is confused with a "set of sets" with a hereditary property (like the finiteness in a hereditarily finite set). (Wikipedia).
Introduction to Sets and Set Notation
This video defines a set, special sets, and set notation.
From playlist Sets (Discrete Math)
SET is an awesome game that really gets your brain working. Play it! Read more about SET here: http://theothermath.com/index.php/2020/03/27/set/
From playlist Games and puzzles
Introduction to sets || Set theory Overview - Part 1
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
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
Set Theory (Part 2): ZFC Axioms
Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce some common axioms in set theory using the Zermelo-Fraenkel w/ choice (ZFC) system. Five out of nine ZFC axioms are covered and the remaining four will be introduced in their
From playlist Set Theory by Mathoma
This video defines set-builder notation and compares it to interval expressed graphically, using interval notation, and using inequalities. Site: http://mathispower4u.com
From playlist Using Interval Notation
Set Theory (Part 1): Notation and Operations
Please feel free to leave comments/questions on the video and practice problems below! In this video series, we'll explore the basics of set theory. I assume no experience with set theory in the video series and anyone who's "been around town" in math should understand the videos. To make
From playlist Set Theory by Mathoma
Set Theory (Part 3): Ordered Pairs and Cartesian Products
Please feel free to leave comments/questions on the video and practice problems below! In this video, I cover the Kuratowski definition of ordered pairs in terms of sets. This will allow us to speak of relations and functions in terms of sets as the basic mathematical objects and will ser
From playlist Set Theory by Mathoma
The perfect number of axioms | Axiomatic Set Theory, Section 1.1
In this video we introduce 6 of the axioms of ZFC set theory. My Twitter: https://twitter.com/KristapsBalodi3 Intro: (0:00) The Axiom of Existence: (2:39) The Axiom of Extensionality: (4:20) The Axiom Schema of Comprehension: (6:15) The Axiom of Pair (12:16) The Axiom of Union (15:15) T
From playlist Axiomatic Set Theory
Nested Interval Property and Proof | Real Analysis
We introduce and prove the nested interval property, or nested interval theorem, or NIP, whatever you like to call it. This theorem says that, given a sequence of nested and closed intervals, that is, closed intervals J1, J2, J3, and so on such that each Jn contains Jn+1, this infinite seq
From playlist Real Analysis
What is a Manifold? Lesson 4: Countability and Continuity
In this lesson we review the idea of first and second countability. Also, we study the topological definition of a continuous function and then define a homeomorphism.
From playlist What is a Manifold?
Joshua Speagle - A Brief Introduction to Nested Sampling - IPAM at UCLA
Recorded 17 November 2021. Joshua Speagle of the University of Toronto presents "A Brief Introduction to Nested Sampling" at IPAM's Workshop III: Source inference and parameter estimation in Gravitational Wave Astronomy. Abstract: Quantifying model uncertainty and performing model selectio
From playlist Workshop: Source inference and parameter estimation in Gravitational Wave Astronomy
Nest Hub Max Smart Display Review
The Google Nest Hub Max smart display review. Let’s take a look at what’s carried over, what’s new, and what my first impressions are of the Max vs. it’s smaller brother. Watch my Hubitat Elevation Hub review: https://youtu.be/bbbs9B0l79c Google Nest Hub Max: https://kit.co/undecidedmf/
From playlist Smart Home Reviews
Meet NestJS with Ely Lucas - Node.js Denver/Boulder/Ft. Collins
Live meetup from Denver Node.js hosted at Code Talent. Meetups are usually held every third Thursday at Code Talent in Denver, CO. Links * Node.js meetup page - [https://www.meetup.com/Node-js-Denver-Boulder](https://www.meetup.com/Node-js-Denver-Boulder) * Brooks Twitter - [h
From playlist Denver Node.js meetup
Real Analysis Ep 18: Compact sets
Episode 18 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is about compact sets. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker webpage: http://faculty.fairfield
From playlist Math 3371 (Real analysis) Fall 2020
Jānis Lazovskis (8/26/20): Moduli spaces of Morse functions for persistence
Title: Moduli spaces of Morse functions for persistence Abstract: I will present the results of a two year collaborative project formed to better understand how persistence interacts with Morse functions on surfaces. Restricting to the sphere, Morse--Smale functions can be decomposed into
From playlist AATRN 2020
Real Analysis | Nested compact sets.
We prove a generalization of the nested interval theorem. In particular, we prove that a nested sequence of compact sets has a non-empty intersection. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespring.com/stores/michael-penn-math Person
From playlist Real Analysis
Google IO 2019 - Pixel 3a, Google Nest, and more
Google IO 2019 unveiled new smart home hardware, the Google Pixel 3a, the death of Nest, and some good privacy changes to Google Home and Android. I was also able to attend a Google open house in New York City to get some face to face time with the products and Google employees. Full scr
From playlist Voice Assistants
Live CEOing Ep 628: Language Design in Wolfram Language [Multicomputation]
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design
Introduction to Set Theory (Discrete Mathematics)
Introduction to Set Theory (Discrete Mathematics) This is a basic introduction to set theory starting from the very beginning. This is typically found near the beginning of a discrete mathematics course in college or at the beginning of other advanced mathematics courses. ***************
From playlist Set Theory