Differential geometry

Clifford analysis

Clifford analysis, using Clifford algebras named after William Kingdon Clifford, is the study of Dirac operators, and Dirac type operators in analysis and geometry, together with their applications. Examples of Dirac type operators include, but are not limited to, the Hodge–Dirac operator, on a Riemannian manifold, the Dirac operator in euclidean space and its inverse on and their conformal equivalents on the sphere, the Laplacian in euclidean n-space and the Atiyah–Singer–Dirac operator on a spin manifold, Rarita–Schwinger/Stein–Weiss type operators, conformal Laplacians, spinorial Laplacians and Dirac operators on SpinC manifolds, systems of Dirac operators, the Paneitz operator, Dirac operators on hyperbolic space, the hyperbolic Laplacian and Weinstein equations. (Wikipedia).

Video thumbnail

Linear algebra: Prove the Sherman-Morrison formula for computing a matrix inverse

This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.

From playlist Linear algebra: theory and implementation

Video thumbnail

Determining if a vector is a linear combination of other vectors

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Determining if a vector is a linear combination of other vectors

From playlist Linear Algebra

Video thumbnail

The matrix approach to systems of linear equations | Linear Algebra MATH1141 | N J Wildberger

We summarize the matrix approach to solving systems of linear equations involving augmented matrices and row reduction. We also study the consequences of linearity of themultiplication of a matrix and vector. ************************ Screenshot PDFs for my videos are available at the webs

From playlist Higher Linear Algebra

Video thumbnail

Linear Algebra 11q: Algorithm for Calculating the Inverse Matrix

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications

Video thumbnail

Linear Algebra 2e: Confirming All the 'Tivities

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications

Video thumbnail

Linear Algebra 13g: Third Explanation of the Matrix Inversion Algorithm

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications

Video thumbnail

Linear Algebra 2q: Summary of Terms Encountered so Far

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications

Video thumbnail

Real Law Review: Why Stormy Daniels Must Pay Donald Trump’s Attorneys’ Fees

⭐️ Get my videos early & ad free (plus my exclusives!) only on Nebula. Save $10 per year! https://legaleagle.link/getnebula ⭐️ Stephanie Clifford aka Stormy Daniels sued President Trump for defamation. So why does SHE have to pay for his attorneys’ fees? We’ll find out why today! It in

From playlist Law Review News!

Video thumbnail

Anirban Chowdhury - Classical and quantum algorithms for estimating traces and partition functions

Recorded 26 January 2022. Anirban Chowdhury of the University of Waterloo presents "Classical and quantum algorithms for estimating traces and partition functions" at IPAM's Quantum Numerical Linear Algebra Workshop Abstract: Estimating the trace of matrix functions is a problem commonly e

From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022

Video thumbnail

QED Prerequisites Geometric Algebra: Introduction and Motivation

This lesson is the beginning of a significant diversion from QED prerequisites. No student needs to understand Geometric Algebra in order to begin the study of QED. However, since we have pushed the formal structure of Maxwell's Equations as far as I know how to go, I think it makes sense

From playlist QED- Prerequisite Topics

Video thumbnail

Taylor Dupuy | Spheres Packings in Hyperbolic Space

African Mathematics Seminar | 2 September 2020 Virtually hosted by the University of Nairobi Visit our webpage: https://sites.google.com/view/africa-math-seminar Sponsor: International Science Programme

From playlist Seminar Talks

Video thumbnail

Saskia Roos: The twist of the free fermion

Talk by Saskia Roos in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on December 8, 2020

From playlist Global Noncommutative Geometry Seminar (Europe)

Video thumbnail

Rob Kusner: Willmore stability and conformal rigidity of minimal surfaces in S^n

A minimal surface M in the round sphere S^n is critical for area, as well as for the Willmore bending energy W=∫∫(1+H^2)da. Willmore stability of M is equivalent to a gap between −2 and 0 in its area-Jacobi operator spectrum. We show the W-stability of M persists in all higher dimensional

From playlist Geometry

Video thumbnail

Geometric Algebra in 2D: complex numbers without the square root of minus one - Russell Goyder

Russell Goyder introduces geometric algebra from scratch, explaining how you can *multiply* vectors in a sensible way, that is deeply related to the geometry of rotations and reflections in space. After walking us through the basics, he shows how rotors represent rotations in the setting o

From playlist metauni festival 2023

Video thumbnail

Linear Algebra for Computer Scientists. 1. Introducing Vectors

This computer science video is one of a series on linear algebra for computer scientists. This video introduces the concept of a vector. A vector is essentially a list of numbers that can be represented with an array or a function. Vectors are used for data analysis in a wide range of f

From playlist Linear Algebra for Computer Scientists

Video thumbnail

QED Prerequisites Geometric Algebra 5- Multivectors

In this lesson we introduce the idea of multivectors and emphasize the need to understand how to take the spacetime product of any two multivectors in the Spacetime Algebra. We demonstrate how this is done for the product between a vector and a bivector and we interpret the meaning of each

From playlist QED- Prerequisite Topics

Video thumbnail

Vector and matrix forms for systems of linear equations | Linear Algebra MATH1141 | N J Wildberger

A system of linear equations may also be viewed in vector form, as an attempt to write one vector as a linear combination of other vectors. Or it more alternatively be viewed in matrix form. We discuss the matrix of coefficients, the vector of variables and the vector of constants. Puttin

From playlist Higher Linear Algebra

Video thumbnail

Christian Voigt: Clifford algebras, Fermions and categorification

Given the fundamental role of Dirac operators in K-homology and K-theory, it can be argued that "categorified Dirac operators" should be crucial for the understanding of elliptic cohomology. However, the actual construction of such operators seems a challenging open problem. In this talk

From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"

Video thumbnail

Externalities- EconMovies #7: Anchorman

Teachers! I created NEW worksheets for all my EconMovies episodes and for all the Crash Course Economics episodes. If you want to learn more about these worksheets and get some samples, fill out this form: https://forms.gle/1XajQCpkmcdw3Spx5 Hey econ students. This is Jacob Clifford. In t

From playlist EconMovies

Video thumbnail

Linear Algebra 6j: Linear Systems for the Impatient

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications

Related pages

Michael Atiyah | Clifford algebra | Szegő kernel | Paneitz operator | Conformally flat manifold | Complex analysis | Spinor bundle | Liouville's theorem (complex analysis) | Lichnerowicz formula | Pin group | Sobolev space | Homogeneous polynomial | Stokes' theorem | Spin connection | Quaternion | Bergman kernel | Spin group | Dirac equation | Poincaré metric | Laplace's equation | Boundary value problem | Levi-Civita connection | Representation theory | Hyperbolic space | Spin structure | Laurent series | Morera's theorem | Monic polynomial | Dirac delta function | Dirac operator | Riemannian manifold | Hilbert transform | Singular integral | Stereographic projection | Paley–Wiener theorem | Hopf manifold | Taylor series | Rarita–Schwinger equation | Manifold | Orthogonal group | Harmonic polynomial | Fundamental solution | Antiautomorphism | Laplace–Beltrami operator | Sokhotski–Plemelj theorem | Cauchy–Kowalevski theorem | Fourier transform | Cayley transform | Scalar curvature | Cauchy's theorem (geometry)