In mathematics, a Laguerre plane is one of the three types of Benz plane, which are the Möbius plane, Laguerre plane and Minkowski plane. Laguerre planes are named after the French mathematician Edmond Nicolas Laguerre. The classical Laguerre plane is an incidence structure that describes the incidence behaviour of the curves , i.e. parabolas and lines, in the real affine plane. In order to simplify the structure, to any curve the point is added. A further advantage of this completion is that the plane geometry of the completed parabolas/lines is isomorphic to the geometry of the plane sections of a cylinder (see below). (Wikipedia).
Distance point and plane the Lagrange way
In this video, I derive the formula for the distance between a point and a plane, but this time using Lagrange multipliers. This not only gives us a neater way of solving the problem, but also gives another illustration of the method of Lagrange multipliers. Enjoy! Note: Check out this vi
From playlist Partial Derivatives
Lagrange Bicentenary - Cédric Villani's conference
From the stability of the Solar system to the stability of plasmas
From playlist Bicentenaire Joseph-Louis Lagrange
Lagrange Bicentenary - Jacques Laskar's conference
Lagrange and the stability of the Solar System
From playlist Bicentenaire Joseph-Louis Lagrange
Laguerre's method for finding real and complex roots of polynomials. Includes history, derivation, examples, and discussion of the order of convergence as well as visualizations of convergence behavior. Example code available on github https://www.github.com/osveliz/numerical-veliz Chapte
From playlist Root Finding
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
Ch04n2: Integrals over Infinite Intervals, Gauss Laguerre, Gauss Hermite
Integrals over Infinite Intervals. Gauss Laguerre, Gauss Hermite Numerical Computation, chapter 4, additional video no 2. To be viewed after the video ch04n1. Wen Shen, Penn State University, 2018.
From playlist CMPSC/MATH 451 Videos. Wen Shen, Penn State University
The Aberth-Ehrlich Method for solving all roots of a polynomial simultaneously including history, methodology, examples, and order as well as comparison to Durand-Kerner. Example code github: http://github.com/osveliz/numerical-veliz Chapters 0:00 Intro 0:19 History 0:41 Methodology 0:59
From playlist Root Finding
Halley's Method (the method of tangent hyperbolas) for finding roots including history, derivation, examples, and fractals. Also discusses Taylor's Theorem relating to Halley's Method as well as Halley's Comet. Sample code and images available on GitHub https://www.github.com/osveliz/numer
From playlist Root Finding
Using Newton's Method to create Fractals by plotting convergence behavior on the complex plane. Functions used in this video include arctan(z), z^3-1, sin(z), z^8-15z^4+16. Example code and images available at https://github.com/osveliz/numerical-veliz Correction: The derivative of arctan
From playlist Root Finding
Lagrange Bicentenary - Alain Albouy's conference
Lagrange and the N body Problem
From playlist Bicentenaire Joseph-Louis Lagrange
Francesco Mezzadri: Moments of Random Matrices and Hypergeometric Orthogonal Polynomials
We establish a new connection between moments of n×n random matrices $X_{n}$ and hypergeometric orthogonal polynomials. Specifically, we consider moments $\mathbb{E}\mathrm{Tr} X_n^{-s}$ as a function of the complex variable $s\in\mathbb{C}$, whose analytic structure we describe completely
From playlist Jean-Morlet Chair - Grava/Bufetov
Some problems using Lagrange Multipliers for optimization. In this video there are some technical problems beginning at about 9:10. The first problem is worked entirely, but the 2nd problem is interrupted.
From playlist Calc3Exam3Fall2013
Lagrange Bicentenary - Luigi Pepe's conference
Scientific biography of Joseph Louis Lagrange Part one, Lagrange in Turin : calculus of variation and vibrating sring Part two, Lagrange in Paris : didactical works and Dean for Scientific activities at the National Institute
From playlist Bicentenaire Joseph-Louis Lagrange
A Tour Of The Lagrange Points. Part 1 - Past And Future Missions To L1
Thanks to gravity, there are places across the Solar System which are nicely balanced. They’re called Lagrange Points and they give us the perfect vantage points for a range of spacecraft missions, from observing the Sun to studying asteroids, and more. Various spacecraft have already vis
From playlist Guide to Space
Complex numbers and curves | Math History | NJ Wildberger
In the 19th century, the study of algebraic curves entered a new era with the introduction of homogeneous coordinates and ideas from projective geometry, the use of complex numbers both on the curve and at infinity, and the discovery by the great German mathematician B. Riemann that topolo
From playlist MathHistory: A course in the History of Mathematics
After 52 years of war between the FARC guerrillas and the Colombian government, this short film explores the tricky relationship between conflict and conservation. Did war unexpectedly benefit nature? ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographi
From playlist News | National Geographic
The Curse of Oak Island: CANNONBALL DISCOVERY Linked to Treasure Defenses (Season 8) | History
While sifting through borehole remains, the team makes the significant discovery of a cannonball, in this clip from Season 8, "A Loose Cannonball." #OakIsland Watch all new episodes of The Curse of Oak Island, Tuesdays at 9/8c, and stay up to date on all of your favorite The HISTORY Ch
From playlist The Curse of Oak Island: Season: 8 | New Episodes Tuesdays at 9/8c | History
Download the free PDF from http://tinyurl.com/EngMathYT This video shows how to apply the method of Lagrange multipliers to a max/min problem. Such ideas are seen in university mathematics.
From playlist Lagrange multipliers
Statistical aspects of stochastic algorithms for entropic (...) - Bigot - Workshop 2 - CEB T1 2019
Jérémie Bigot (Univ. Bordeaux) / 12.03.2019 Statistical aspects of stochastic algorithms for entropic optimal transportation between probability measures. This talk is devoted to the stochastic approximation of entropically regularized Wasserstein distances between two probability measu
From playlist 2019 - T1 - The Mathematics of Imaging