Robert Seiringer: The local density approximation in density functional theory
We present a mathematically rigorous justification of the Local Density Approximation in density functional theory. We provide a quantitative estimate on the difference between the grand-canonical Levy-Lieb energy of a given density (the lowest possible energy of all quantum st
From playlist Mathematical Physics
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
Local Maximum and Local Minimum of a Definite Integral Function (Accumulation Function)
This video provides an example of how to determine when a definite integral function would have local maximums or local minimums. Site: http://mathispower4u.com
From playlist Definite Integrals and The Fundamental Theorem of Calculus
(PP 6.4) Density for a multivariate Gaussian - definition and intuition
The density of a (multivariate) non-degenerate Gaussian. Suggestions for how to remember the formula. Mathematical intuition for how to think about the formula.
From playlist Probability Theory
Teach Astronomy - Density Parameter
http://www.teachastronomy.com/ Another fundamental quantity of the big bang model is the density parameter. It's defined as the ratio of the mean density of the universe to the density just needed to overcome the cosmic expansion. The density parameter is denoted by the Greek symbol capi
From playlist 22. The Big Bang, Inflation, and General Cosmology
Linear Approximations and Differentials
Linear Approximation In this video, I explain the concept of a linear approximation, which is just a way of approximating a function of several variables by its tangent planes, and I illustrate this by approximating complicated numbers f without using a calculator. Enjoy! Subscribe to my
From playlist Partial Derivatives
How to find the position function given the acceleration function
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist Riemann Sum Approximation
Pre-Calculus - Identify the local maximum and minimum of a function
This video shows how to find the local maximum and minimum points when looking at the graph of a function. Remember that these are the maximum and minimum on some interval of the entire function. More specific techniques are covered for other functions like quadratics in later videos. F
From playlist Pre-Calculus
From playlist Plenary talks One World Symposium 2020
Mathieu Lewin - Recent results in Density Functional Theory - IPAM at UCLA
Recorded 12 April 2022. Mathieu Lewin of CNRS and Université Paris-Dauphine presents "Recent results in Density Functional Theory" at IPAM's Model Reduction in Quantum Mechanics Workshop. Abstract: I will provide an overview of results obtained recently in density functional theory, in joi
From playlist 2022 Model Reduction in Quantum Mechanics Workshop
Rainer von Sachs: Time-frequency analysis of locally stationary Hawkes processes
Abstract : In this talk we address generalisation of stationary Hawkes processes in order to allow for a time-evolutive second-order analysis. A formal derivation of a time-frequency analysis via a time-varying Bartlett spectrum is given by introduction of the new class of locally stationa
From playlist Probability and Statistics
Lec 7 | MIT 3.320 Atomistic Computer Modeling of Materials
Technical Aspects of Density Functional Theory View the complete course at: http://ocw.mit.edu/3-320S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 3.320 Atomistic Computer Modeling of Materials
Paola Gori-Giorgi - Large-coupling strength expansion in DFT and Hartree-Fock adiabatic connections
Recorded 14 April 2022. Paola Gori-Giorgi of Vrije Universiteit Amsterdam presents "Large-coupling strength expansion in DFT and Hartree-Fock adiabatic connections" at IPAM's Model Reduction in Quantum Mechanics Workshop. Abstract: In this talk I will review and put into perspective severa
From playlist 2022 Model Reduction in Quantum Mechanics Workshop
On a conjecture of Poonen and Voloch I: Probabilistic models(...) - Sawin - Workshop 1 - CEB T2 2019
Will Sawin (Columbia University) / 21.05.2019 On a conjecture of Poonen and Voloch I: Probabilistic models for counting rational points on random Fano hypersurfaces Poonen and Voloch have conjectured that almost every degree d Fano hypersur- face in Pn defined over the field of rational
From playlist 2019 - T2 - Reinventing rational points
G. Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 4)
In these lectures I will first recall the basic notions and results that are needed to study minimal surfaces in the smooth setting (above all the area formula and the first variation of the area), give a short review of the main (classical) techniques for existence results, and then outli
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
Andrew Millis - Twisted Transition Metal Dicalcogenides: Tests of Quantum Embedding and Theories
Recorded 29 March 2022. Andrew Millis of Columbia University presents "Twisted Transition Metal Dicalcogenides: Experimental Tests of Quantum Embedding and Theories" at IPAM's Multiscale Approaches in Quantum Mechanics Workshop. Abstract: The essential task of quantum many-body theory is t
From playlist 2022 Multiscale Approaches in Quantum Mechanics Workshop
Probability 101c: Stirling's approximation
(C) 2012 David Liao lookatphysics.com CC-BY-SA Replaces unscripted drafts Approximation for n! when n is large Comparison with integral of natural logarithm
From playlist Probability, statistics, and stochastic processes
Maximum and Minimum Values (Closed interval method)
A review of techniques for finding local and absolute extremes, including an application of the closed interval method
From playlist 241Fall13Ex3
M Harbola - An Introduction to Density Functional Theory
PROGRAM: STRONGLY CORRELATED SYSTEMS: FROM MODELS TO MATERIALS DATES: Monday 06 Jan, 2014 - Friday 17 Jan, 2014 VENUE: Department of Physics, IISc Campus, Bangalore PROGRAM LINK : http://www.icts.res.in/program/MTM2014 The realistic description of materials with strong electron-electro
From playlist Strongly correlated systems: From models to materials