A Jacobi ellipsoid is a triaxial (i.e. scalene) ellipsoid under hydrostatic equilibrium which arises when a self-gravitating fluid body of uniform density rotates with a constant angular velocity. It is named after the German mathematician Carl Gustav Jacob Jacobi. (Wikipedia).
Etale Theta - Part 02 - Properties of the Arithmetic Jacobi Theta Function
In this video we talk about Proposition 1.4 of Etale Theta. This came out of conversations with Emmanuel Lepage. Formal schemes in the Stacks Project: http://stacks.math.columbia.edu/tag/0AIL
From playlist Etale Theta
An introduction to how the jacobian matrix represents what a multivariable function looks like locally, as a linear transformation.
From playlist Multivariable calculus
Theory of numbers: Jacobi symbol
This lecture is part of an online undergraduate course on the theory of numbers. We define the Jacobi symbol as an extension of the Legendre symbol, and show how to use it to calculate the Legendre symbol fast. We also briefly mention the Kronecker symbol. For the other lectures in t
From playlist Theory of numbers
The J function, sl(2) and the Jacobi identity | Universal Hyperbolic Geometry 19 | NJ Wildberger
We review the basic connection between hyperbolic points and matrices, and connect the J function, which computes the joins of points or the meets of lines, with the Lie bracket of 2x2 matrices. This connects with the Lie algebra called sl(2) in the projective setting. The Jacobi identity
From playlist Universal Hyperbolic Geometry
Dimitri Zvonkine - On two ELSV formulas
The ELSV formula (discovered by Ekedahl, Lando, Shapiro and Vainshtein) is an equality between two numbers. The first one is a Hurwitz number that can be defined as the number of factorizations of a given permutation into transpositions. The second is the integral of a characteristic class
From playlist 4th Itzykson Colloquium - Moduli Spaces and Quantum Curves
Alexander Veselov: Geodesic scattering on hyperboloids
HYBRID EVENT Recorded during the meeting "Differential Geometry, Billiards, and Geometric Optics" the October 04, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathemat
From playlist Dynamical Systems and Ordinary Differential Equations
Gentle example explaining how to compute the Jacobian. Free ebook http://tinyurl.com/EngMathYT
From playlist Several Variable Calculus / Vector Calculus
Wolfgang Schief: A canonical discrete analogue of classical circular cross sections of ellipsoids
Abstract: Two classical but perhaps little known facts of "elementary" geometry are that an ellipsoid may be sliced into two one-parameter families of circles and that ellipsoids may be deformed into each other in such a manner that these circles are preserved. In fact, as an illustration
From playlist Integrable Systems 9th Workshop
Gentle example showing how to compute the Jacobian. Free ebook http://tinyurl.com/EngMathYT
From playlist Several Variable Calculus / Vector Calculus
Claire Tomlin: "Hamilton-Jacobi Methods in Robotics"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games "Hamilton-Jacobi Methods in Robotics" Claire Tomlin - University of California, Berkeley Institute for Pure and Applied Mathematics, UCLA March 30, 2020 For
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Riemannian Exponential Map on the Group of Volume-Preserving Diffeomorphisms - Gerard Misiolek
Gerard Misiolek University of Notre Dame; Institute for Advanced Study October 19, 2011 In 1966 V. Arnold showed how solutions of the Euler equations of hydrodynamics can be viewed as geodesics in the group of volume-preserving diffeomorphisms. This provided a motivation to study the geome
From playlist Mathematics
Gravitational waves from neutron stars (Lecture - 04) by Nils Andersson
Summer School on Gravitational-Wave Astronomy DATE: 17 July 2017 to 28 July 2017 VENUE: Madhava Lecture Hall, ICTS Bangalore This school is a part of the annual ICTS summer schools in gravitational wave astronomy. This year’s school will focus on the physics and astrophysics of compact
From playlist Summer School on Gravitational-Wave Astronomy - 2017
Mo Chen: "A Multi-Pronged Approach to Computational Challenges in HJ Reachability"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games "A Multi-Pronged Approach to Computational Challenges in HJ Reachability" Mo Chen, Simon Fraser University Abstract: Autonomous mobile robots are becoming per
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Introduction to number theory lecture 35 Jacobi symbol
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We define the Jacobi symbol and prove its basic properties, and show how to calculate it fa
From playlist Introduction to number theory (Berkeley Math 115)
MIT 16.412J Cognitive Robotics, Spring 2016 View the complete course: https://ocw.mit.edu/16-412JS16 Instructor: MIT students This is the sixth advanced lecture in the MIT 16.412 Cognitive Robotics of Spring 2016, led by MIT students. Students presented the research in reachability and it
From playlist MIT 16.412J Cognitive Robotics, Spring 2016
Lecture 4 | MIT 6.832 Underactuated Robotics, Spring 2009
Lecture 4: Optimal control of the double integrator (continued) Instructor: Russell Tedrake See the complete course at: http://ocw.mit.edu/6-832s09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.832 Underactuated Robotics, Spring 2009
In this video I write down the axioms of Lie algebras and then discuss the defining anti-symmetric bilinear map (the Lie bracket) which is zero on the diagonal and fulfills the Jacobi identity. I'm following the compact book "Introduction to Lie Algebras" by Erdmann and Wildon. https://gi
From playlist Algebra
Spinning Up a Neutron Star (Lecture - 03) by G srinivasan
Summer School on Gravitational-Wave Astronomy DATE: 17 July 2017 to 28 July 2017 VENUE: Madhava Lecture Hall, ICTS Bangalore This school is a part of the annual ICTS summer schools in gravitational wave astronomy. This year’s school will focus on the physics and astrophysics of compact
From playlist Summer School on Gravitational-Wave Astronomy - 2017
Basics of the Jacobian and its use in a neural network using Python
#Python #DataScience In this 20 minute video I introduce the topic of the the Jacobian. It is simply a matrix of partial derivatives of single and multivariable functions or vector valued functions. While the Jacobian is easy to calculate by hand, we can also use the symbolic Python pack
From playlist Machine learning