Convex analysis | Abstract algebra | Linear algebra | Convex geometry | Group theory

In mathematics, a subset C of a real or complex vector space is said to be absolutely convex or disked if it is convex and balanced (some people use the term "circled" instead of "balanced"), in which case it is called a disk. The disked hull or the absolute convex hull of a set is the intersection of all disks containing that set. (Wikipedia).

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

Set Theory (Part 2b): The Bogus Universal Set

Please feel free to leave comments/questions on the video below! In this video, I argue against the existence of the set of all sets and show that this claim is provable in ZFC. This theorem is very much tied to the Russell Paradox, besides being one of the problematic ideas in mathematic

From playlist Set Theory by Mathoma

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

Every Compact Set in n space is Bounded

Every Compact Set in n space is Bounded 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 Advanced Calculus

Open and closed sets -- Proofs

This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.

From playlist Proofs

What is the complement of a set? Sets in mathematics are very cool, and one of my favorite thins in set theory is the complement and the universal set. In this video we will define complement in set theory, and in order to do so you will also need to know the meaning of universal set. I go

From playlist Set Theory

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

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

Math 101 Fall 2017 112917 Introduction to Compact Sets

Definition of an open cover. Definition of a compact set (in the real numbers). Examples and non-examples. Properties of compact sets: compact sets are bounded. Compact sets are closed. Closed subsets of compact sets are compact. Infinite subsets of compact sets have accumulation poi

From playlist Course 6: Introduction to Analysis (Fall 2017)

V3-31. Linear Programming. Convexity. Introduction.

Math 484: Linear Programming. Convexity. Introduction. Wen Shen, 2020, Penn State University

From playlist Math484 Linear Programming Short Videos, summer 2020

Linear Programming, Lecture 12. Convexity.

September 29, 2016. Penn State University.

From playlist Math484, Linear Programming, fall 2016

Mateusz Skomora: Separation theorems in signed tropical convexities

The max-plus semifield can be equipped with a natural notion of convexity called the “tropical convexity”. This convexity has many similarities with the standard convexity over the nonnegative real numbers. In particular, it has been shown that tropical polyhedra are closely related to the

From playlist Workshop: Tropical geometry and the geometry of linear programming

Lecture 3 | Convex Optimization I (Stanford)

Professor Stephen Boyd, of the Stanford University Electrical Engineering department, lectures on convex and concave functions for the course, Convex Optimization I (EE 364A). Convex Optimization I concentrates on recognizing and solving convex optimization problems that arise in engine

From playlist Lecture Collection | Convex Optimization

Lecture 15 | Convex Optimization II (Stanford)

Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd continues lecturing on L1 Methods for Convex-Cardinality Problems. This course introduces topics such as subgradient, cutting-plane, and ellipsoid met

From playlist Lecture Collection | Convex Optimization

IGA: Legendre Transforms Convex Functions and Plurisubharmonic Metrics

Rémi Reboulet (Grenoble) Abstract: We begin by explaining the correspondence between convex functions on integral polytopes and plurisubharmonic (i.e. "generalized convex") metrics on polarized toric varieties. Under this correspondence, geodesics in the space of toric psh metrics are tran

From playlist Informal Geometric Analysis Seminar

Sebastian Bubeck: Chasing small sets

I will present an approach based on mirror descent (with a time-varying multiscale entropy functional) to chase small sets in arbitrary metric spaces. This could in particular resolve the randomized competitive ratio of the layered graph traversal problem introduced by Papadimitriou and Ya

From playlist Workshop: Continuous approaches to discrete optimization

Lecture 4 | Convex Optimization I (Stanford)

Professor Stephen Boyd, of the Stanford University Electrical Engineering department, continues his lecture on convex functions in electrical engineering for the course, Convex Optimization I (EE 364A). Complete Playlist for the Course: http://www.youtube.com/view_play_list?p=3940DD956

From playlist Lecture Collection | Convex Optimization

Lecture 5 | Convex Optimization I (Stanford)

Professor Stephen Boyd, of the Stanford University Electrical Engineering department, lectures on the different problems that are included within convex optimization for the course, Convex Optimization I (EE 364A). Convex Optimization I concentrates on recognizing and solving convex opt

From playlist Lecture Collection | Convex Optimization

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

Lecture 1 | Convex Optimization II (Stanford)

Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd's first lecture is on the course requirements, homework assignments, and then goes into his first topic- Subgradients. This course introduces topics s

From playlist Lecture Collection | Convex Optimization