Recursively Defined Sets - An Intro
Recursively defined sets are an important concept in mathematics, computer science, and other fields because they provide a framework for defining complex objects or structures in a simple, iterative way. By starting with a few basic objects and applying a set of rules repeatedly, we can g
From playlist All Things Recursive - with Math and CS Perspective
Every Set is an Element of its Power Set | Set Theory
Every set is an element of its own power set. This is because the power set of a set S, P(S), contains all subsets of S. By definition, every set is a subset of itself, and thus by definition of the power set of S, it must contain S. This is even true for the always-fun empty set! We discu
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
Introduction to Sets and Set Notation
This video defines a set, special sets, and set notation.
From playlist Sets (Discrete Math)
How to Identify the Elements of a Set | Set Theory
Sets contain elements, and sometimes those elements are sets, intervals, ordered pairs or sequences, or a slew of other objects! When a set is written in roster form, its elements are separated by commas, but some elements may have commas of their own, making it a little difficult at times
From playlist Set Theory
Recursive Functions (Discrete Math)
This video introduces recursive formulas.
From playlist Functions (Discrete Math)
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
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
Listing Subsets Using Tree Diagrams | Set Theory, Subsets, Power Sets
Here is a method for completely listing the subsets of a given set using tree diagrams. It's a handy way to make sure you don't miss any subsets when trying to find them. It's not super efficient, but it is reliable! The process is pretty simple, we begin with the empty set, and then branc
From playlist Set Theory
G. Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 3)
In these lectures I will first recall the basic notions and results that are needed to study minimal surfaces in the smooth setting (above all the area formula and the first variation of the area), give a short review of the main (classical) techniques for existence results, and then outli
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
T. Toro - Geometry of measures and applications (Part 1)
In the 1920's Besicovitch studied linearly measurable sets in the plane, that is sets with locally finite "length". The basic question he addressed was whether the infinitesimal properties of the "length" of a set E in the plane yield geometric information on E itself. This simple question
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
Xavier Tolsa: The weak-A∞ condition for harmonic measure
Abstract: The weak-A∞ condition is a variant of the usual A∞ condition which does not require any doubling assumption on the weights. A few years ago Hofmann and Le showed that, for an open set Ω⊂ℝn+1 with n-AD-regular boundary, the BMO-solvability of the Dirichlet problem for the Laplace
From playlist Analysis and its Applications
D. Vittone - Rectifiability issues in sub-Riemannian geometry
In this talk we discuss two problems concerning “rectifiability” in sub-Riemannian geometry and particularly in the model setting of Carnot groups. The first problem regards the rectifiability of boundaries of sets with finite perimeter in Carnot groups, while the second one concerns Radem
From playlist Journées Sous-Riemanniennes 2018
Metric embeddings, uniform rectifiability, and the Sparsest Cut problem - Robert Young
Members' Seminar Topic: Metric embeddings, uniform rectifiability, and the Sparsest Cut problem Speaker: Robert Young Affiliation: New York University; von Neumann Fellow, School of Mathematics Date: November 2, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
PDEs vs. Geometry: analytic characterizations of geometric properties of sets - Svitlana Mayboroda
Members’ Colloquium Topic: PDEs vs. Geometry: analytic characterizations of geometric properties of sets Speaker: Svitlana Mayboroda Affiliatrion: University of Minnesota Date: February 07, 2022 In this talk we will discuss connections between the geometric and analytic/PDE properties of
From playlist Mathematics
Elliptic measures and the geometry of domains - Zihui Zhao
Analysis Seminar Topic: Elliptic measures and the geometry of domains Speaker: Zihui Zhao Affiliation: Member, School of Mathematics Date: February 14, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Introduction to Diode Rectifiers | What Is 3-Phase Power? -- Part 5
In 3-phase electrical power systems, the AC system is commonly connected to a DC system. The process of converting AC to DC is known as rectification. You will learn: - The operating principle of a single diode acting as a half-wave rectifier - How an H-bridge rectifier operates as a full
From playlist What Is 3-Phase Power?
Stereo Vision | Student Competition: Computer Vision Training
In this video, you will learn about stereo vision and calibrating stereo cameras. We will use an example of reconstructing a scene using stereo vision. Get files: https://bit.ly/2ZBy0q2 Explore the MATLAB and Simulink Robotics Arena: https://bit.ly/2yIgwfS ---------------------------------
From playlist Student Competition: Computer Vision Training
Christina Sormani: A Course on Intrinsic Flat Convergence part 2
The lecture was held within the framework of the Hausdorff Trimester Program: Optimal Transportation and the Workshop: Winter School & Workshop: New developments in Optimal Transport, Geometry and Analysis
From playlist HIM Lectures 2015
9.3.1 Sets: Definitions and Notation
9.3.1 Sets: Definitions and Notation
From playlist LAFF - Week 9