In this video, I show a very neat result about dual spaces: Namely, any basis of V* is automatically a dual basis of some basis of V. Even though this result is very interesting, it's the proof that makes this very exciting, by simply using the fact that V and V** are 'very' isomorphic. En
From playlist Dual Spaces
In this video, I present a very classical example of a duality argument: Namely, I show that T^T is one-to-one if and only if T is onto and use that to show that T is one-to-one if and only if T^T is onto. This illustrates the beautiful interplay between a vector space and its dual space,
From playlist Dual Spaces
Dual basis definition and proof that it's a basis In this video, given a basis beta of a vector space V, I define the dual basis beta* of V*, and show that it's indeed a basis. We'll see many more applications of this concept later on, but this video already shows that it's straightforwar
From playlist Dual Spaces
What is the Wave/Particle Duality? Part 1
Tweet it! - http://bit.ly/rqSUwR Facebook it! - http://on.fb.me/oRhE5d Minute Physics provides an energetic and entertaining view of old and new problems in physics -- all in a minute! In this episode, we discuss the Wave Particle Duality and why quantum mechanics is weirder than anyt
From playlist Quantum Physics
What is the Alternate Exterior Angle Converse Theorem
👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
In this video, I show how to explicitly calculate dual bases. More specifically, I find the dual basis corresponding to the basis (2,1) and (3,1) of R^2. Hopefully this will give you a better idea of how dual bases work. Subscribe to my channel: https://www.youtube.com/c/drpeyam What is
From playlist Dual Spaces
Teach Astronomy - Particles as Waves
http://www.teachastronomy.com/ Wave-particle duality not only means that light has some of the properties of particles, carrying energy from one place to another and acting as if the waves are concentrated in a packet. It also means that particles share properties with waves. Physicist W
From playlist 05. Quantum Theory and Radiation
What are parallel lines and a transversal
👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
Chemistry - Electron Structures in Atoms (13 of 40) What is the Wave-Particle Duality?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the wave-particle duality.
From playlist CHEMISTRY 11 ELECTRON ORBITALS AND ATOMIC STRUCTURE
Michael Walter: "Quantum Brascamp-Lieb Dualities"
Entropy Inequalities, Quantum Information and Quantum Physics 2021 "Quantum Brascamp-Lieb Dualities" Michael Walter - Universiteit van Amsterdam Abstract: Brascamp-Lieb inequalities are entropy inequalities which have a dual formulation as generalized Young inequalities. In this work, we
From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021
Duality between estimation and control - Sanjoy Mitter
PROGRAM: Data Assimilation Research Program Venue: Centre for Applicable Mathematics-TIFR and Indian Institute of Science Dates: 04 - 23 July, 2011 DESCRIPTION: Data assimilation (DA) is a powerful and versatile method for combining observational data of a system with its dynamical mod
From playlist Data Assimilation Research Program
The most misunderstood equation in math (associative property)
Associativity is one of the first properties taught to students. Let's explore this property together. For the curious among you, the mathematical theorem at the heart of this video is Cayley’s theorem for semigroups. 00:00 The equation 02:20 Exploration 13:36 What is associativity? Part
From playlist Summer of Math Exposition Youtube Videos
No Ensemble Averaging Below the Black Hole Threshold - Edward Witten
Black Holes and Qubits Meeting Topic: No Ensemble Averaging Below the Black Hole Threshold" Speaker: Edward Witten Affiliation: Faculty, School of Natural Sciences, IAS Date: March 03, 2023 In AdS/CFT duality, at least in the case of D=3, I will argue that the basic CFT observables are n
From playlist Natural Sciences
Knot polynomials from Chern-Simons field theory and their string theoretic... by P. Ramadevi
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
Yang-Mills for mathematicians (Lecture - 01) by Sourav Chatterjee
INFOSYS-ICTS RAMANUJAN LECTURES SOME OPEN QUESTIONS ABOUT SCALING LIMITS IN PROBABILITY THEORY SPEAKER Sourav Chatterjee (Stanford University, California, USA) DATE & TIME 14 January 2019 to 18 January 2019 VENUE Madhava Lecture Hall, ICTS campus GALLERY Lecture 1: Yang-Mills for mathemat
From playlist Infosys-ICTS Ramanujan Lectures
Giuseppe Mussardo - 2D Ising Model and its tricritical version, when theory meets experiments
The magnetic deformation of the 2D Ising Model and the thermal deformation of the Tricritical Ising Model are related to the exceptional E_8 and E_7 Lie algebras. The corresponding exact S-matrix theories and the related dynamical structure factors of both models have a rich spectroscopy
From playlist 100…(102!) Years of the Ising Model
Lecture 9 | Convex Optimization I (Stanford)
Professor Stephen Boyd, of the Stanford University Electrical Engineering department, continues his lecture upon duality for the course, Convex Optimization I (EE 364A). Convex Optimization I concentrates on recognizing and solving convex optimization problems that arise in engineering.
From playlist Lecture Collection | Convex Optimization
WSU: Fundamental Lessons from String Theory with Cumrun Vafa
Cumrun Vafa, together with fellow world-renowned string theorist Andrew Strominger, developed a new way to calculate black hole entropy in the language of string theory. Follow Vafa as he guides you through some of the more incredible things we have learned since string theory’s inception.
From playlist WSU Master Classes
WSU: Fundamental Lessons from String Theory with Cumrun Vafa
Cumrun Vafa, together with fellow world-renowned string theorist Andrew Strominger, developed a new way to calculate black hole entropy in the language of string theory. Follow Vafa as he guides you through some of the more incredible things we have learned since string theory’s inception.
From playlist WSU Master Class
Proving Parallel Lines with Angle Relationships
👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal