Variants of random walks | Boundary value problems | Partial differential equations | Numerical differential equations
In mathematics, the walk-on-spheres method (WoS) is a numerical probabilistic algorithm, or Monte-Carlo method, used mainly in order to approximate the solutions of some specific boundary value problem for partial differential equations (PDEs). The WoS method was first introduced by Mervin E. Muller in 1956 to solve Laplace's equation, and was since then generalized to other problems. It relies on probabilistic interpretations of PDEs, and simulates paths of Brownian motion (or for some more general variants, diffusion processes), by sampling only the exit-points out of successive spheres, rather than simulating in detail the path of the process. This often makes it less costly than "grid-based" algorithms, and it is today one of the most widely used "grid-free" algorithms for generating Brownian paths. (Wikipedia).
From playlist Drawing a sphere
Equation of a Sphere Given the Endpoints of the Diameter
In this video I will show you how to find the equation of a sphere given the endpoints of the diameter. We are given a sphere which has endpoints (5, 4, 3) and (1, 6, -9) and we find the equation of the sphere. Great Calculus Book: https://amzn.to/3VfotAU This is my affiliate link. As an
From playlist Spheres
Introduction to Geometer's Sketchpad: Constructions
This video describes how to use the Construct menu in Geometer's Sketchpad to create a square. Constructions are the most common way to create -rigid- shapes, i.e., shapes whose properties don't change when you move their pieces.
From playlist Geometer's Sketchpad
More resources available at www.misterwootube.com
From playlist Measuring Further Shapes
From playlist Drawing a sphere
Vector Equations of Spheres (1 of 2: Tangential spheres)
More resources available at www.misterwootube.com
From playlist Further Work with Vectors
The video explains how to determine the center and radius of a sphere. http://mathispower4u.yolasite.com/
From playlist Vectors
Monte Carlo Geometry Processing
Project Page: http://www.cs.cmu.edu/~kmcrane/Projects/MonteCarloGeometryProcessing/index.html
From playlist Research
Periodic Geodesics and Geodesic Nets on Riemannian Manifolds - Regina Rotman
Workshop on Geometric Functionals: Analysis and Applications Topic: Periodic Geodesics and Geodesic Nets on Riemannian Manifolds Speaker: Regina Rotman Affiliation: University of Toronto; Member, School of Mathematics Date: March 5, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Advanced asymptotics of PDEs and applications - 24 September 2018
http://www.crm.sns.it/event/424/ The aim of this workshop is to present and discuss recent advanced topics in analysis, numerical methods, and statistical physics methods for modeling and quantifying cellular functions and organization. We will focus here on recent the asymptotic of PDEs
From playlist Centro di Ricerca Matematica Ennio De Giorgi
Physics - Test Your Knowledge: Vectors (21 of 30) Geodesic Part 1: Find the Angle
Visit http://ilectureonline.com for more math and science lectures! In this video I will (Part 1 of 4) show how we find the distance between 2 points on a sphere, or globe. The method is called geodesic. First we will find the angle, alpha, between 2 points on 1/8th of the sphere. To don
From playlist PHYSICS 1A TEST YOUR KNOWLEDGE : VECTORS
Stable Random Fields, Patterson-Sullivan measures by Mahan Mj
Program Probabilistic Methods in Negative Curvature ORGANIZERS: Riddhipratim Basu, Anish Ghosh and Mahan Mj DATE: 11 March 2019 to 22 March 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore The focal area of the program lies at the juncture of three areas: Probability theory o
From playlist Probabilistic Methods in Negative Curvature - 2019
AQA GCSE Maths Foundation (8300) : Practice Set 2 Paper 2
A run-through of AQA's GCSE Maths Foundation Paper 2 from Set 2 of the practice paper releases. Click on the hyperlinks in this description below to skip straight to individual questions. If you're watching on a mobile device, you may need to click the hyperlinks I've attached in the vid
From playlist AQA (8300) Foundation Tier Exam Solutions
Measuring Shape With Homology - Robert MacPherson
Robert MacPherson Institute for Advanced Study April 7, 2010 The ordinary homology of a subset S of Euclidean space depends only on its topology. By systematically organizing homology of neighborhoods of S, we get quantities that measure the shape of S, rather than just its topology. These
From playlist Mathematics
Gregory Miermont - Un panorama des limites d'échelles de cartes aléatoires
UMPA, ENS Lyon, Prix Jaffé 2016 Réalisation technique : Antoine Orlandi (GRICAD) | Tous droits réservés
From playlist Des mathématiciens primés par l'Académie des Sciences 2017
GCSE Maths AQA Practice Paper Set 2 - Foundation - Paper 2 - Walkthrough with Full Solutions (*)
A complete walk through of the AQA GCSE Maths Practice Paper Set 2 - FoundationTier - Paper 2. Help revise for the 8300 new specification 9-1 mathematics exams and your mock. This walkthrough tutorial has full solutions to each question, so you can use it like a mark scheme. Choose to
From playlist AQA GCSE Maths Practice Papers - All Paper Sets
Multiprecision: solving and causing problems
From playlist Spring 2019 Symbolic-Numeric Computing
MS in Data Science Seminar Series: Luis Serrano, author of Grokking Machine Learning
Abstract: In this talk we introduce the fundamentals of quantum computing and quantum machine learning. We focus on generative learning, and study a very powerful model called QCBM (quantum circuit Born machines) whose goal is to "guess" the probability distribution that a dataset comes fr
From playlist ML Talks by Luis Serrano
Geometry - Constructions (9 of 15) How to Draw a Tangent Line to a Circle
Visit http://ilectureonline.com for more math and science lectures! In this video I will demonstrate how to draw tangent line onto circles. Next video in the Constructions series can be seen at: http://youtu.be/wnbUnMU5SyU
From playlist GEOMETRY 2 - CONSTRUCTIONS