Symmetry | Theorems in analysis | Generalized functions | Multivariable calculus
In mathematics, the symmetry of second derivatives (also called the equality of mixed partials) refers to the possibility of interchanging the order of taking partial derivatives of a function of n variables without changing the result under certain conditions (see below). The symmetry is the assertion that the second-order partial derivatives satisfy the identity so that they form an n × n symmetric matrix, known as the function's Hessian matrix. This is sometimes known as Schwarz's theorem, Clairaut's theorem, or Young's theorem. In the context of partial differential equations it is called the Schwarz integrability condition. (Wikipedia).
Ex 1: Determine Higher Order Derivatives
This video provides an example of how to determine the first, second, third, and fourth derivative of a function. Complete Video List at http://www.mathispower4u.com
From playlist Higher Order Differentiation
The Second Derivative of Parametric Equations - Part 1 of 2
Complete Video List: http://www.mathispower4u.yolasite.com This video explains how to determine the second derivative of parametric equations and how to determine when a curve written in parametric form is concave up or concave down.
From playlist Parametric Equations
Using the Second Derivative (1 of 5: Finding the Point of Inflexion)
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From playlist Applications of Differentiation
Second Derivative of Vector-Valued Function Example 2
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From playlist Calculus
Second Derivative of Vector-Valued Function Example 1
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From playlist Calculus
first and second derivatives of parametric equations
In this video, I show how to find the first and second derivatives of parametric equations, and remove the parameter t of a parametric equation. I go through an example and also explain why the formulas for the first and second derivatives work. In this example, I also go over Chain Rule,
From playlist Calculus 2
Higher Order Derivatives of Trigonometric Functions
The video explains how to determine higher order derivatives of trigonometric functions. http://mathispower4u.wordpress.com/
From playlist Differentiation
The Second Derivative of Parametric Equations - Part 2 of 2
This video explains how to determine the second derivative of parametric equations and how to determine when a curve written in parametric form is concave up or concave down. http://mathispower4u.yolasite.com/
From playlist Parametric Equations
Section (4.2) Second Derivatives and Graphs
Applied Calculus Section (4.2) Second Derivative and Graphs In this lecture the second derivative is defined as it relates to the first derivative and as it relates to the graph of the original function. The second derivative is used in graphical analysis to identify intervals of concavity
From playlist Applied Calculus
New constraints on transport from Schwinger Keldysh theory by Amos Yarom
ORGANIZERS : Pallab Basu, Avinash Dhar, Rajesh Gopakumar, R. Loganayagam, Gautam Mandal, Shiraz Minwalla, Suvrat Raju, Sandip Trivedi and Spenta Wadia DATE : 21 May 2018 to 02 June 2018 VENUE : Ramanujan Lecture Hall, ICTS Bangalore In the past twenty years, the discovery of the AdS/C
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Noether’s Theorem in Classical Dynamics : Continuous Symmetries by N. Mukunda
DATES: Monday 29 Aug, 2016 - Tuesday 30 Aug, 2016 VENUE: Madhava Lecture Hall, ICTS Bangalore Emmy Noether (1882-1935) is well known for her famous contributions to abstract algebra and theoretical physics. Noether’s mathematical work has been divided into three ”epochs”. In the first (
From playlist The Legacy of Emmy Noether
Andrew J. Tolley: A brief introduction to massive gravity
CIRM VIRTUAL EVENT Recorded during the meeting "Theory of Gravitation and Variation in Cosmology" the April 15, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematic
From playlist Virtual Conference
Particle Physics is Founded on This Principle!
Take your first steps toward understanding gauge field theory, which underlies everything we know about particle physics! Sponsored by Blinkist: Start your free trial and get 25% off! https://www.blinkist.com/elliot Get the notes for free here: https://courses.physicswithelliot.com/notes-
From playlist Field Theory Sequence
Thomas Backdahl - Symmetry operators, conserved currents and energy momentum tensors
Conserved quantities, for example energy and momentum, play a fundamental role in the analysis of dynamics of particles and fields. For field equations, one manifestation of conserved quantities in a broad sense is the existence of symmetry operators, i.e. linear differential operators whi
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Lecture 4 | Modern Physics: Special Relativity (Stanford)
Lecture 4 of Leonard Susskind's Modern Physics course concentrating on Special Relativity. Recorded May 5, 2008 at Stanford University. This Stanford Continuing Studies course is the first of a six-quarter sequence of classes exploring the essential theoretical foundations of modern phy
From playlist Lecture Collection | Modern Physics: Special Relativity
Lecture 7 | New Revolutions in Particle Physics: Standard Model
(February 22, 2010) Professor Leonard Susskind discusses spontaneous symmetry breaking and gauge invariance. This course is a continuation of the Fall quarter on particle physics. The material will focus on the Standard Model of particle physics, especially quantum chromodynamics (the the
From playlist Lecture Collection | Particle Physics: Standard Model
Nathan Seiberg - Exotic Field Theories: Lifshitz Theory, Tensor Gauge Theory, and Fractons
Over the past few years, many exotic lattice systems with peculiar properties were found. Some of their peculiarities include particles with restricted mobility, large ground-state degeneracy, and long-distance sensitivity to short-distance details. Consequently, these theories do not have
From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday
11. More on spacetime curvature.
MIT 8.962 General Relativity, Spring 2020 Instructor: Scott Hughes View the complete course: https://ocw.mit.edu/8-962S20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP629n_3fX7HmKKgin_rqGzbx Variants on the Riemann curvature tensor: the Ricci tensor and Ricci scalar,
From playlist MIT 8.962 General Relativity, Spring 2020
Ex: Find First and Second Order Partial Derivatives
This video explains how to find first and second order partial derivatives. They are also evaluated at a point and the meaning of the value is illustrated graphically. Site: http://mathispower4u.com
From playlist Partial Derivatives of functions of Two or More Variables
Recent Developments on Chiral Magnetohydrodynamics by Yuji Hirono
DISCUSSION MEETING EXTREME NONEQUILIBRIUM QCD (ONLINE) ORGANIZERS: Ayan Mukhopadhyay (IIT Madras) and Sayantan Sharma (IMSc Chennai) DATE & TIME: 05 October 2020 to 09 October 2020 VENUE: Online Understanding quantum gauge theories is one of the remarkable challenges of the millennium
From playlist Extreme Nonequilibrium QCD (Online)