Michael selection theorem

Introduction to the Cardinality of Sets and a Countability Proof

Introduction to Cardinality, Finite Sets, Infinite Sets, Countable Sets, and a Countability Proof - Definition of Cardinality. Two sets A, B have the same cardinality if there is a bijection between them. - Definition of finite and infinite sets. - Definition of a cardinal number. - Discu

From playlist Set Theory

Function of a Function Rule (2 of 4: Introducing a Substitution)

From playlist Introduction to Differentiation

Set Theory (Part 5): Functions and the Axiom of Choice

Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce functions as a special sort of relation, go over some function-related terminology, and also prove two theorems involving left- and right-inverses, with the latter theorem nic

From playlist Set Theory by Mathoma

Prove or Disprove if the Function is Injective

Prove or Disprove if the Function is Injective If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)

From playlist Functions, Sets, and Relations

Multivariable Calculus | Differentiability

We give the definition of differentiability for a multivariable function and provide a few examples. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/

From playlist Multivariable Calculus

Characteristics of functions

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Characteristics of functions

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Characteristics of functions

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Characteristics of functions

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Debabrota Basu (6/17/20): Epsilon-net induced lazy witness complex for topological data analysis

Title: Epsilon-net induced lazy witness complex for efficient topological data analysis Abstract: Inefficient scalability of persistent homology computation on simplicial representations restrains practical application of TDA. The lazy witness complex economically defines an approximate r

From playlist AATRN 2020

Michael Farber (2/24/22): Topological complexity of spherical bundles

I will start by describing the concept of a parametrized motion planning algorithm which allows to achieve high degree of flexibility and universality. The main part of the talk will focus on the problem of understanding the parametrized topological complexity of sphere bundles. I will exp

From playlist Topological Complexity Seminar

Michael Singer 11/7/14 Part 1

Title: The General Solution of A First Order Differential Polynomial

From playlist Fall 2014

Sir Michael Atiyah Interview [Stony Brook 2011]

Name: Michael Atiyah Event: SCGP Lecture Series Title: Sir Michael Atiyah Interview Date: 2011-11-07 @12:00 PM Location: SCGP Abstract: Sir Michael Atiyah, celebrated mathematician and Retired and Honorary Professor of Mathematics at the University of Edinburgh, visited the Simons Center

From playlist Mathematics

Integrable systems and Torelli theorem for parabolic Higgs bundles by Marina Logares

Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio

From playlist Higgs Bundles

8ECM Invited Lecture: Aner Shalev

From playlist 8ECM Invited Lectures

Michael Lesnick (2/23/2022): Stability of 2-Parameter Persistent Homology

We show that the standard stability results for union-of-balls, Čech, and Rips persistent homology have natural analogues in the 2-parameter setting, formulated in terms of the multicover bifiltration and Sheehy's subdivision bifiltrations. Our results imply that these bifiltrations are r

From playlist AATRN 2022

Stochastic climate models with Lévy noise by Michael Hoegele (Part 1)

ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATES: Monday 23 May, 2016 - Saturday 23 Jul, 2016 VENUE: Madhava Lecture Hall, ICTS, Bangalore This program is first-of-its-kind in India with a specific focus to p

From playlist Summer Research Program on Dynamics of Complex Systems

eCF Encoding Continued Fraction Knowledge in Computational Form in W|A

This talk reports on the recently completed collection, semantic encoding, and exposure of significant published results on continued fractions as a digital library. This work, supported by the Sloan Foundation, extends the framework developed for the Wolfram|Alpha website to create a new

From playlist Wolfram Technology Conference 2013

Analyze the characteristics of multiple functions

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Vincent Tassion - Emergent planarity in two-dimensional Ising models with finite-range Interactions

The boundary spin correlations for planar Ising models have a well-known Pfaffian structure. For Ising models on the square lattice with finite-range interactions, the corresponding graph is not planar and the Pfaffian structure no long holds. Nevertheless, at criticality, the Pfaffian st

From playlist 100…(102!) Years of the Ising Model