In mathematics, specifically in spectral theory, a discrete spectrum of a closed linear operator is defined as the set of isolated points of its spectrum such that the rank of the corresponding Riesz projector is finite. (Wikipedia).
This video explains what is taught in discrete mathematics.
From playlist Mathematical Statements (Discrete Math)
Intro to Discrete Math - Welcome to the Course!
Welcome to Discrete Math. This is the start of a playlist which covers a typical one semester class on discrete math. I chat a little about why I love discrete math, what you should expect, and how an online discrete math course is structured. FULL PLAYLIST: https://www.youtube.com/watch
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
The formal definition of a sequence.
We have an intuitive picture of sequences (infinite ordered lists). But there is a formal definition of sequences based out of the idea of a specific function between sets, specifically from the positive integers to the real numbers. ►Full DISCRETE MATH Course Playlist: https://www.youtu
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Formal Definition of a Function using the Cartesian Product
Learning Objectives: In this video we give a formal definition of a function, one of the most foundation concepts in mathematics. We build this definition out of set theory. **************************************************** YOUR TURN! Learning math requires more than just watching vid
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
[Discrete Mathematics] Discrete Probability
We talk about sample spaces, events, and probability. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz Discrete Mathematics 2: https://www.
From playlist Discrete Math 2
[Discrete Mathematics] Functions Examples
In this video we look at the range of some functions and determine if they are injective. LIKE AND SHARE THE VIDEO IF IT HELPED! Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?
From playlist Discrete Math 1
Maths for Programmers: Introduction (What Is Discrete Mathematics?)
Transcript: In this video, I will be explaining what Discrete Mathematics is, and why it's important for the field of Computer Science and Programming. Discrete Mathematics is a branch of mathematics that deals with discrete or finite sets of elements rather than continuous or infinite s
From playlist Maths for Programmers
DISCRETE Random Variables: Finite and Infinite Distributions (9-2)
A Discrete Random Variable is any outcome of a statistical experiment that takes on discrete (i.e., separate and distinct) numerical values. Discrete outcomes: all potential outcomes numerical values are integers (i.e., whole numbers). They cannot be negative. Using an example of tests in
From playlist Discrete Probability Distributions in Statistics (WK 9 - QBA 237)
Integrability in the Laplacian Growth Problem by Eldad Bettelheim
Program : Integrable systems in Mathematics, Condensed Matter and Statistical Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan L
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
"Magnetic Edge and Semiclassical Eigenvalue Asymptotics" by Dr. Ayman Kachmar
What will be the energy levels of an electron moving in a magnetic field? In a typical setting, these are eigenvalues of a special magnetic Laplace operator involving the semiclassical parameter (a very small parameter compared to the sample’s scale), and the foregoing question becomes on
From playlist CAMS Colloquia
Umberto Mosco - 21 September 2016
Mosco , Umberto "Beyond perimeters, between discrete and continuous structures"
From playlist A Mathematical Tribute to Ennio De Giorgi
Omer Offen: Period integrals of automorphic forms
Recording during the thematic Jean-Morlet Chair - Doctoral school: "Introduction to relative aspects in representation theory, Langlands functoriality and automorphic forms" the May 18, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume H
From playlist Jean-Morlet Chair - Research Talks - Prasad/Heiermann
Antoine Levitt - Numerical methods for scattering and resonance properties in molecules and solids
Recorded 03 May 2022. Antoine Levitt of the Institut National de Recherche en Informatique Automatique presents "Numerical methods for scattering and resonance properties in molecules and solids" at IPAM's Large-Scale Certified Numerical Methods in Quantum Mechanics Workshop. Abstract: The
From playlist 2022 Large-Scale Certified Numerical Methods in Quantum Mechanics
Huajie Chen - Convergence of the Planewave Approximations for Quantum Incommensurate Systems
Recorded 04 May 2022. Huajie Chen of Beijing Normal University, School of Mathematical Sciences, presents "Convergence of the Planewave Approximations for Quantum Incommensurate Systems" at IPAM's Large-Scale Certified Numerical Methods in Quantum Mechanics Workshop. Abstract: We study the
From playlist 2022 Large-Scale Certified Numerical Methods in Quantum Mechanics
Many Nodal Domains in Random Regular Graphs by Nikhil Srivastava
COLLOQUIUM MANY NODAL DOMAINS IN RANDOM REGULAR GRAPHS SPEAKER: Nikhil Srivastava (University of California, Berkeley) DATE: Tue, 21 December 2021, 16:30 to 18:00 VENUE:Online Colloquium ABSTRACT Sparse random regular graphs have been proposed as discrete toy models of physical sys
From playlist ICTS Colloquia
Dalimil Mazáč - Bootstrapping Automorphic Spectra
I will explain how the conformal bootstrap can be adapted to place rigorous bounds on the spectra of automorphic forms on locally symmetric spaces. A locally symmetric space is of the form H\G/K, where G is a non-compact semisimple Lie group, K the maximal compact subgroup of G, and H a di
From playlist Quantum Encounters Seminar - Quantum Information, Condensed Matter, Quantum Field Theory
Introduction to Discrete and Continuous Functions
This video defines and provides examples of discrete and continuous functions.
From playlist Introduction to Functions: Function Basics