Daniel Bertrand: Generalized Jacobians and Pellian polynomials
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Number Theory
Intro to Jacobian + differentiability
A lecture that introduces the Jacobian matrix and its determinant. Such ideas may be thought of as a general derivative of a vector-valued function of many variables and find uses in integration theory.
From playlist Several Variable Calculus / Vector Calculus
Approximating the Jacobian: Finite Difference Method for Systems of Nonlinear Equations
Generalized Finite Difference Method for Simultaneous Nonlinear Systems by approximating the Jacobian using the limit of partial derivatives with the forward finite difference. Example code on GitHub https://www.github.com/osveliz/numerical-veliz Chapters 0:00 Intro 0:13 Prerequisites 0:3
From playlist Solving Systems of Nonlinear Equations
Gentle example explaining how to compute the Jacobian. Free ebook http://tinyurl.com/EngMathYT
From playlist Several Variable Calculus / Vector Calculus
Jacobian chain rule and inverse function theorem
A lecture that discusses: the general chain rule for the Jacobian derivative; and the inverse function theorem. The concepts are illustrated via examples and are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus
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
Gentle example showing how to compute the Jacobian. Free ebook http://tinyurl.com/EngMathYT
From playlist Several Variable Calculus / Vector Calculus
Ekin Ozman, Quadratic points on modular curves and Fermat-type equations
VaNTAGe seminar, June 8, 2021 License: CC-BY-NC-SA
From playlist Modular curves and Galois representations
Jeremy Rouse, l-adic images of Galois for elliptic curves over Q
VaNTAGe seminar, June 22, 2021 License: CC-BY-NC-SA
From playlist Modular curves and Galois representations
Dimitri Grigoryev - On a Tropical Version of the Jacobian Conjecture
We prove that, for a tropical rational map if for any point the convex hull of Jacobian matrices at smooth points in a neighborhood of the point does not contain singular matrices then the map is an isomorphism. We also show that a tropical polynomial map on the plane is an isomorphism if
From playlist Combinatorics and Arithmetic for Physics: 02-03 December 2020
Lori Watson, Odd degree isolated points on X_1(N) with rational j-invariant
VaNTAGe seminar, June 8, 2021
From playlist Modular curves and Galois representations
Stanford CS224N NLP with Deep Learning | Winter 2021 | Lecture 3 - Backprop and Neural Networks
For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/3vUDzRv This lecture covers: 1. Why Python? 2. Setup 3. Language Basics 4. Introduction to NumPy 5. Practical Python Tips 6. Other Great References To learn more ab
From playlist Stanford CS224N: Natural Language Processing with Deep Learning | Winter 2021
Jacobian prerequisite knowledge
Before jumping into the Jacobian, it's important to make sure we all know how to think about matrices geometrically. This is targetted towards those who have seen linear algebra but may need a quick refresher.
From playlist Multivariable calculus
Newton's Method for Systems of Nonlinear Equations
Generalized Newton's method for systems of nonlinear equations. Lesson goes over numerically solving multivariable nonlinear equations step-by-step with visual examples and explanation of the Jacobian, the backslash operator, and the inverse Jacobian. Example code in MATLAB / GNU Octave on
From playlist Newton's Method
Barinder Banwait, Explicit isogenies of prime degree over number fields
VaNTAGe seminar June 29, 2021 License: CC-BY-NC-SA
From playlist Modular curves and Galois representations
Using Maple Learn on YouTube and in the Classroom
Dr. Tom Crawford (University of Oxford) will share some example worksheets created in Maple Learn that he uses to help to teach 'Introductory Calculus’ to his undergraduate students and his online audience using YouTube. The ‘Oxford Calculus’ video series which integrates Maple Learn and t
From playlist Collaborations
On Chen’s recent breakthrough on the Kannan-Lovasz-Simonovits conjecture and Bourga... - Ronen Eldan
Computer Science/Discrete Mathematics Seminar II Topic: On Chen’s recent breakthrough on the Kannan-Lovasz-Simonovits conjecture and Bourgain's slicing problem Speaker: Ronen Eldan Affiliation: Weizmann Institute of Science Date: April 20, 2021 For more video please visit http://video.ia
From playlist Mathematics
HEDS | Solving the Many-Electron Schrödinger Equation with Deep Neural Network
HEDS Seminar Series- Matthew Foulkes – February 4th, 2021 LLNL-VIDEO- 825208
From playlist High Energy Density Science Seminar Series
Jörg Thuswaldner: S-adic sequences: a bridge between dynamics, arithmetic, and geometry
Abstract: Based on work done by Morse and Hedlund (1940) it was observed by Arnoux and Rauzy (1991) that the classical continued fraction algorithm provides a surprising link between arithmetic and diophantine properties of an irrational number αα, the rotation by αα on the torus 𝕋=ℝ/ℤT=R/
From playlist Dynamical Systems and Ordinary Differential Equations
HEDS | Solving the Many-Electron Schrödinger Equation with Deep Neural Networks
Seminar Series talk by Matthew Foulkes, Feb. 4, 2021. LLNL-VIDEO- 825208
From playlist High Energy Density Science Seminar Series