Order theory | Wellfoundedness | Binary relations
In mathematics, specifically order theory, a well-quasi-ordering or wqo is a quasi-ordering such that any infinite sequence of elements from contains an increasing pair with (Wikipedia).
Well-Ordering and Induction: Part 1
This was recorded as supplemental material for Math 115AH at UCLA in the spring quarter of 2020. In this video, I prove the equivalence of the principle of mathematical induction and the well-ordering principle.
From playlist Well Ordering and Induction
Set Theory 1.4 : Well Orders, Order Isomorphisms, and Ordinals
In this video, I introduce well ordered sets and order isomorphisms, as well as segments. I use these new ideas to prove that all well ordered sets are order isomorphic to some ordinal. Email : fematikaqna@gmail.com Discord: https://discord.gg/ePatnjV Subreddit : https://www.reddit.com/r/
From playlist Set Theory
Orders on Sets: Part 1 - Partial Orders
This was recorded as supplemental material for Math 115AH at UCLA in the spring quarter of 2020. In this video, I discuss the concept and definition of a partial order.
From playlist Orders on Sets
Zorn's Lemma, The Well-Ordering Theorem, and Undefinability (Version 2.0)
Zorn's Lemma and The Well-ordering Theorem are seemingly straightforward statements, but they give incredibly mind-bending results. Orderings, Hasse Diagrams, and the Ordinals / set theory will come up in this video as tools to get a better view of where the "proof" of Zorn's lemma comes f
From playlist The New CHALKboard
The elements of a set can be ordered by a relation. Some relation cause proper ordering and some, partial ordering. Have a look at some examples.
From playlist Abstract algebra
Discrete Math - 5.2.1 The Well-Ordering Principle and Strong Induction
In this video we introduce the well-ordering principle and look and one proof by strong induction. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
Well Ordering and Induction: Part 2
This was recorded as supplemental material for Math 115AH at UCLA in the spring quarter of 2020. In this video, I discuss the "philosophical importance" of induction, and go over two proofs that use the Principle of Mathematical Induction and the Well-Ordering Principle, respectively.
From playlist Well Ordering and Induction
Well-ordering Principle and Division Algorithm || Polynomial Prerequisites || Intermediate Algebra
Here I have already diverted from the standard Principle as the Well-ordering Principle usually goes with the Natural Numbers (ℕ) and the Division Algorithm over the Integers (ℤ). Here's some more nice content. Well-ordering Principle: 1. https://en.wikipedia.org/wiki/Well-ordering_princi
From playlist Summer of Math Exposition 2 videos
15 Properties of partially ordered sets
When a relation induces a partial ordering of a set, that set has certain properties with respect to the reflexive, (anti)-symmetric, and transitive properties.
From playlist Abstract algebra
Sahana Balasubramanya: Quasi-parabolic structures on groups
CIRM VIRTUAL EVENT Recorded during the meeting"Virtual Geometric Group Theory conference " the May 22, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM
From playlist Virtual Conference
Shay Shadovsky - Involutions and costs: A zoo of dualities - IPAM at UCLA
Recorded 08 February 2022. Shay Sadovsky of Tel Aviv University presents "Involutions and costs: A zoo of dualities" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: Motivated by Boroczky and Schneider's characterization of set polarity, and Artstein-Avidan
From playlist Workshop: Calculus of Variations in Probability and Geometry
Massimiliano BERTI - Quasi - periodic standing wave solutions of gravity-capillary water waves
We prove the existence of Cantor families of small amplitude time quasi-periodic standing wave solutions (i.e. periodic and even in the space variable x ) of a 2-dimensional ocean with infinite depth under the action of gravity and surface tension. In a
From playlist Trimestre "Ondes Non Linéaires" - May Conference
Yuri Berest : Spaces of quasi-invariants
CONFERENCE Recording during the thematic meeting : « Chromatic Homotopy, K-Theory and Functors» the January 26, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathematicians on CIR
From playlist Topology
Deconfinement in Heisenberg-perturbed Kitaev models: by Vikram Tripathi
DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental
From playlist Novel Phases of Quantum Matter 2019
Ohad Kammar: An introduction to statistical modelling semantics with higher-order measure theory
HYBRID EVENT Recorded during the meeting "Logic of Probabilistic Programming" February 04, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiov
From playlist Probability and Statistics
Semantic models for higher-order Bayesian inference - Sam Staton, University of Oxford
In this talk I will discuss probabilistic programming as a method of Bayesian modelling and inference, with a focus on fully featured probabilistic programming languages with higher order functions, soft constraints, and continuous distributions. These languages are pushing the limits of e
From playlist Logic and learning workshop
The Quantum Phases of Matter V - Quasiparticle lifetime; Superexchange interactions - Subir Sachdev
Joint Course with TIFR and IAS Topic: The Quantum Phases of Matter V Speaker: Subir Sachdev Affiliation: Harvard University; Member, School of Natural Sciences, IAS Date: September 20, 2021
From playlist Joint Course with TIFR and IAS
Real-Space Stochastic GW Calculations Benchmark on GW100 by Ishita Shitut
DISCUSSION MEETING : APS SATELLITE MEETING AT ICTS ORGANIZERS : Ranjini Bandyopadhyay (RRI, India), Subhro Bhattacharjee (ICTS-TIFR, India), Arindam Ghosh (IISc, India), Shobhana Narasimhan (JNCASR, India) and Sumantra Sarkar (IISc, India) DATE & TIME: 15 March 2022 to 18 March 2022 VEN
From playlist APS Satellite Meeting at ICTS-2022
Classifying Functions & Relations (2 of 2: 1-to-Many, Many-to-Many)
More resources available at www.misterwootube.com
From playlist Working with Functions
Long-lived interacting phases of matter protected by multiple.. by Wen Wei Ho
PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do is
From playlist Thermalization, Many Body Localization And Hydrodynamics 2019