Mathematical optimization | Functional analysis | Topology
A complementarity problem is a type of mathematical optimization problem. It is the problem of optimizing (minimizing or maximizing) a function of two vector variables subject to certain requirements (constraints) which include: that the inner product of the two vectors must equal zero, i.e. they are orthogonal. In particular for finite-dimensional real vector spaces this means that, if one has vectors X and Y with all nonnegative components (xi ≥ 0 and yi ≥ 0 for all : in the first quadrant if 2-dimensional, in the first octant if 3-dimensional), then for each pair of components xi and yi one of the pair must be zero, hence the name complementarity. e.g. X = (1, 0) and Y = (0, 2) are complementary, but X = (1, 1) and Y = (2, 0) are not. A complementarity problem is a special case of a variational inequality. (Wikipedia).
Double Complement of a Set | Set Theory
What is the complement of the complement of a set? In today's set theory lesson we'll discuss double complements with respect to "absolute complements - being complements taken with respect to a universal set as opposed to relative complements. When we consider a universal set, every oth
From playlist Set Theory
Duality in Higher Categories-I by Pranav Pandit
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
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
Complement of the Union of Complements | Set Theory
What is the complement of the union of complement sets? We'll go over just that, using DeMorgan's laws for sets in today's set theory lesson! Here are some relevant lessons you may be interested in after or before watching this one... What is a Set Complement? https://www.youtube.com/wat
From playlist Set Theory
What is the Complement of a Graph? | Graph Theory, Graph Complements, Self Complementary Graphs
What is the complement of a graph? What are self complementary graphs? We'll be answering these questions in today's video graph theory lesson! If G is a graph, the complement of G has the same vertex set but the "opposite" edge set. That means two vertices are adjacent in G Complement if
From playlist Graph Theory
Duality in Algebraic Geometry by Suresh Nayak
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
The Information Paradox and Complementarity by Suvrat Raju
11 January 2017 to 13 January 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru String theory has come a long way, from its origin in 1970's as a possible model of strong interactions, to the present day where it sheds light not only on the original problem of strong interactions, but
From playlist String Theory: Past and Present
The Information Paradox and State-Dependence by Suvrat Raju
21 November 2016 to 10 December 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Quantum Theory has passed all experimental tests, with impressive accuracy. It applies to light and matter from the smallest scales so far explored, up to the mesoscopic scale. It is also a necessary ingredie
From playlist Fundamental Problems of Quantum Physics
Verdier And Grothendieck Duality (Lecture 4) by Suresh Nayak
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
Duality In Higher Categories II by Pranav Pandit
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
Black hole Firewalls - with Sean Carroll and Jennifer Ouellette
What would you experience if you jumped into a black hole? Click here to subscribe for more science videos: http://bit.ly/RiSubscRibe Conventionally, physicists have assumed that if the black hole is large enough, the gravitational forces won't become extreme until you approach the singul
From playlist Ri Talks
Duality In Higher Categories III by Pranav Pandit
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
Maximally incompatible quantum observables - T. Heinosaari - Workshop 2 - CEB T3 2017
Teiko Heinosaari / 26.10.17 Maximally incompatible quantum observables I will discuss a way to quantify the degrees of incompatibility of two observables in a probabilistic physical theory and, based on this, a global measure of the degree of incompatibility inherent in such theories, ac
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
What is Reality? - with Frank Wilczek
Nobel laureate Frank Wilczek investigates the ideas that form our understanding of the universe: time, space, matter, energy, complexity, and complementarity. Frank's book "Fundamentals" is available now: https://geni.us/TwaX90f Frank Wilczek won the Nobel Prize in Physics for his work on
From playlist Livestreams
The Black Hole Information Paradox
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/DonateSPACE Thank you to Brilliant for sponsoring this episode! To find out more, visit: https://brilliant.org/SpaceTime We’ve established by now that black holes are weird. The r
From playlist Understanding the Holographic Universe
Alain Aspect - Le photon onde ou particule ? L’étrangeté quantique mise en lumière
Conférence organisée par les Amis de l'IHES le 23 mai 2019
From playlist Évenements grand public
Jacek Gondzio: Applying interior point algorithms in column generation and cuttingplane methods
Advantages of interior point methods (IPMs) applied in the context of nondifferentiable optimization arising in cutting planes/column generation applications will be discussed. Some of the many false views of the combinatorial optimization community on interior point methods applied in thi
From playlist Workshop: Continuous approaches to discrete optimization
Ross Duncan: Quantum formal methods
CIRM VIRTUAL EVENT Recorded during the meeting "Spring School in Theoretical Computer Science" the May 25, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians
From playlist Virtual Conference
[Part 2] Frank Wilczek on the Future of Science | Closer To Truth Chats
Theoretical physicist and mathematician Frank Wilczek discusses his way of thinking about fundamental science, his writing and philosophy, humanity's place and purpose, what is and what could be in science, and the laws of physics. Wilczek's latest book, Fundamentals: Ten Keys to Reality,
From playlist Closer To Truth Chats
Dichotomy & Poincare Duality by Somnath Basu
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)