Differential equations | Calculus of variations | Differential geometry
In mathematics, the Lagrangian theory on fiber bundles is globally formulated in algebraic terms of the variational bicomplex, without appealing to the calculus of variations. For instance, this is the case of classical field theory on fiber bundles (covariant classical field theory). The variational bicomplex is a cochain complex of the differential graded algebra of exterior forms on jet manifolds of sections of a fiber bundle. Lagrangians and Euler–Lagrange operators on a fiber bundle are defined as elements of this bicomplex. Cohomology of the variational bicomplex leads to the global first variational formula and first Noether's theorem. Extended to Lagrangian theory of even and odd fields on graded manifolds, the variational bicomplex provides strict mathematical formulation of classical field theory in a general case of reducible degenerate Lagrangians and the Lagrangian BRST theory. (Wikipedia).
Introduction to Direct Variation, Inverse Variation, and Joint Variation
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From playlist 3.7 Modeling Using Variation
Henri Moscovici. Differentiable Characters and Hopf Cyclic Cohomology
Talk by Henri Moscovici in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/... on October 20, 2020.
From playlist Global Noncommutative Geometry Seminar (Europe)
Graham ELLIS - Computational group theory, cohomology of groups and topological methods 4
The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Lecture 3: Classical Hochschild Homology
In this video, we introduce classical Hochschild homology and discuss the HKR theorem. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://www.uni-muenster.de/IVV5WS/Web
From playlist Topological Cyclic Homology
Statistics - How to calculate the coefficient of variation
In this video I'll quickly show you how to find the coefficient of variation. There are two formulas for samples and populations, but these are basically the same and involve dividing the standard deviation by the mean and lastly converting to a percent. The coefficient of variation is u
From playlist Statistics
Direct Variation (1 of 5: Relating two changing quantities)
More resources available at www.misterwootube.com
From playlist Further Ratios and Rates
Jonathan Belcher: Bridge cohomology-a generalization of Hochschild and cyclic cohomologies
Talk by Jonathan Belcher in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-... on August 12, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
Factoring a binomial using distributive property
👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe
From playlist Factor Quadratic Expressions | Difference of Two Squares
Factoring trinomials #2 difference of two squares
👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe
From playlist Factor Quadratic Expressions | Difference of Two Squares
Teun van Nuland: Cyclic cocycles and one-loop corrections of the spectral action
Talk by Teun van Nuland in the Global Noncommutative Geometry Seminar (Americas) on October 28, 2022. https://globalncgseminar.org/talks/tba-37/
From playlist Global Noncommutative Geometry Seminar (Americas)
Using a set of points determine if the figure is a parallelogram using the midpoint formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Determining if a set of points makes a parallelogram or not
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Learning how to factor a binomial using the difference of two squares
👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe
From playlist Factor Quadratic Expressions | Difference of Two Squares
Using the difference of two squares to factor a binomial
👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe
From playlist Factor Quadratic Expressions | Difference of Two Squares
Fereydoun Hormozdiari: "Detecting Structural Variation"
Computational Genomics Summer Institute 2016 "Detecting Structural Variation" Fereydoun Hormozdiari, UC Davis Institute for Pure and Applied Mathematics, UCLA July 20, 2016 For more information: http://computationalgenomics.bioinformatics.ucla.edu/
From playlist Computational Genomics Summer Institute 2016
DSI Seminar | Adaptive Contraction Rates and Model Selection Consistency of Variational Posteriors
In this DSI Seminar Series talk from June 2021, University of Notre Dame associate professor Lizhen Li discusses adaptive inference based on variational Bayes. Abstract: We propose a novel variational Bayes framework called adaptive variational Bayes, which can operate on a collection of
From playlist DSI Virtual Seminar Series
What is General Relativity? Lesson 49: Constructing the Weyl tensor I
What is General Relativity? Lesson 49: Constructing the Weyl tensor I We calculate the conformally invariant part of the Riemann tensor. This is a complex calculation that is not generally done in textbooks. The motivation for the Weyl tensor will come in a later lesson, but I think the d
From playlist What is General Relativity?
[Lesson 22] QED Prerequisites: The Electromagnetic Field Tensor
This is a REPOST of a lecture with video repairs and some annoying errors corrected! To reinforce our efforts to put the 4-potential at center stage we do a second development, this time founded in Lorentz invariance ala Landau and Lifshitz "Classical Theory of Fields." Then, we show how
From playlist QED- Prerequisite Topics
Variational Principle Introduction
In this video, I introduce the variational principle in quantum mechanics, how it is derived, and why you might want to use it. Hope you found this video helpful, please post in the comments below anything I can do to improve future videos, or suggestions you have for future videos. This
From playlist Quantum Mechanics
DeepMind x UCL | Deep Learning Lectures | 11/12 | Modern Latent Variable Models
This lecture, by DeepMind Research Scientist Andriy Mnih, explores latent variable models, a powerful and flexible framework for generative modelling. After introducing this framework along with the concept of inference, which is central to it, Andriy focuses on two types of modern latent
From playlist Learning resources