Electronic band structures | Quantum models
The empty lattice approximation is a theoretical electronic band structure model in which the potential is periodic and weak (close to constant). One may also consider an empty irregular lattice, in which the potential is not even periodic. The empty lattice approximation describes a number of properties of energy dispersion relations of non-interacting free electrons that move through a crystal lattice. The energy of the electrons in the "empty lattice" is the same as the energy of free electrons. The model is useful because it clearly illustrates a number of the sometimes very complex features of energy dispersion relations in solids which are fundamental to all electronic band structures. (Wikipedia).
Approximating Functions in a Metric Space
Approximations are common in many areas of mathematics from Taylor series to machine learning. In this video, we will define what is meant by a best approximation and prove that a best approximation exists in a metric space. Chapters 0:00 - Examples of Approximation 0:46 - Best Aproximati
From playlist Approximation Theory
The Empty Set or the Null Set , Intermediate Algebra , Lesson 27
This tutorial explains the simple concept of the empty set, otherwise known as the null set. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)
From playlist Intermediate Algebra
Empty Graph, Trivial Graph, and the Null Graph | Graph Theory
Whenever we talk about something that is defined by sets, it is important to consider the empty set and how it fits into the definition. In graph theory, empty sets in the definition of a particular graph can bring on three types/categories of graphs. The empty graphs, the trivial graph, a
From playlist Graph Theory
The Empty Set is a Subset of Every Set Proof
Please subscribe:) https://goo.gl/JQ8Nys The Empty Set is a Subset of Every Set Proof B-Roll - Islandesque by Kevin MacLeod is licensed under a Creative Commons Attribution license (https://creativecommons.org/licenses/by/4.0/) Source: http://incompetech.com/music/royalty-free/index.html
From playlist Set Theory
Why is the Empty Set a Subset of Every Set? | Set Theory, Subsets, Subset Definition
The empty set is a very cool and important part of set theory in mathematics. The empty set contains no elements and is denoted { } or with the empty set symbol ∅. As a result of the empty set having no elements is that it is a subset of every set. But why is that? We go over that in this
From playlist Set Theory
Open and closed sets -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Minimax Approximation and the Exchange Algorithm
In this video we'll discuss minimax approximation. This is a method of approximating functions by minimisation of the infinity (uniform) norm. The exchange algorithm is an iterative method of finding the approximation which minimises the infinity norm. FAQ : How do you make these animatio
From playlist Approximation Theory
Orbit of a set in abstract algebra
In this video we start to take a look at the orbit-stabilizer theorem. Our first stop is the orbit of a set. The orbit is created by taking an arbitrary element of a set and acting on that element by all the elements in the set of an an arbitrary group. In this video, we look at a few p
From playlist Abstract algebra
Logical challenges with abstract algebra II | Abstract Algebra Math Foundations 215 | NJ Wildberger
There is a very big jump in going from finite algebraic objects to "infinite algebraic objects". For example, there is a huge difference, if one is interested in very precise definitions, between the concept of a finite group and the concept of an "infinite group". We illustrate this imp
From playlist Math Foundations
Effective bounds for the least solutions of homogeneous quadratic... - Thomas Hille
Special Dynamics Seminar Topic: Effective bounds for the least solutions of homogeneous quadratic Diophantine inequalities Speaker: Thomas Hille Affiliation: Yale University Date: November 15, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Mod-01 Lec-34 Energy Bands in Solids
Condensed Matter Physics by Prof. G. Rangarajan, Department of Physics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist NPTEL: Condensed Matter Physics - CosmoLearning.com Physics Course
Multiplicatively Badly Approximable Vectors by Reynold Fregoli
PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis
From playlist Ergodic Theory and Dynamical Systems 2022
Allan MacDonald: "Electronic and optical properties of 2D moiré superlattices"
Theory and Computation for 2D Materials "Electronic and optical properties of 2D moiré superlattices" Allan MacDonald Institute for Pure and Applied Mathematics, UCLA January 15, 2020 For more information: http://www.ipam.ucla.edu/tcm2020
From playlist Theory and Computation for 2D Materials 2020
Anna De Mier: Approximating clutters with matroids
Abstract: There are several clutters (antichains of sets) that can be associated with a matroid, as the clutter of circuits, the clutter of bases or the clutter of hyperplanes. We study the following question: given an arbitrary clutter Λ, which are the matroidal clutters that are closest
From playlist Combinatorics
Dimension bound for doubly badly approximable affine forms by Seonhee Lim
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
Bounded orbits for Diagonal Flows on the Space of Lattices by Erez Nesharim
PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis
From playlist Ergodic Theory and Dynamical Systems 2022
Correlation induced metallic, half-metallic and superconducting by H. R. Krishnamurthy
DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental
From playlist Novel Phases of Quantum Matter 2019
Multiple Phase Transitions in a System of Hard Core Rotors on a Lattice (Lecture 2) by Deepak Dhar
INFOSYS-ICTS CHANDRASEKHAR LECTURES MULTIPLE PHASE TRANSITIONS IN A SYSTEM OF HARD CORE ROTORS ON A LATTICE SPEAKER: Deepak Dhar (Distinguished Emeritus Professor and NASI-Senior Scientist, IISER-Pune, India) VENUE: Ramanujan Lecture Hall and Online DATE & TIME: Lecture 1: Monday, D
From playlist Infosys-ICTS Chandrasekhar Lectures
Calculus: Absolute Maximum and Minimum Values
In this video, we discuss how to find the absolute maximum and minimum values of a function on a closed interval.
From playlist Calculus
Permutation stability of Grigorchuk groups - Tianyi Zheng
Stability and Testability Topic: Permutation stability of Grigorchuk groups Speaker: Tianyi Zheng Affiliation: University of California, San Diego Date: February 03, 2021 For more video please visit http://video.ias.edu
From playlist Stability and Testability