Linear Approximations and Differentials
Linear Approximation In this video, I explain the concept of a linear approximation, which is just a way of approximating a function of several variables by its tangent planes, and I illustrate this by approximating complicated numbers f without using a calculator. Enjoy! Subscribe to my
From playlist Partial Derivatives
Polynomial approximations -- Calculus II
This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist Calculus II
Approximating Functions in a Metric Space
Approximations are common in many areas of mathematics from Taylor series to machine learning. In this video, we will define what is meant by a best approximation and prove that a best approximation exists in a metric space. Chapters 0:00 - Examples of Approximation 0:46 - Best Aproximati
From playlist Approximation Theory
Linear Approximation & the Tangent Planes & the Differential: More Depth
Multivariable calculus lecture focusing on Linear Approximation & the Tangent Planes & the Differential
From playlist Multivariable Derivatives
Tangent plane approximation and error estimation
Free ebook http://tinyurl.com/EngMathYT This lecture shows how to use tangent plane techniques to approximate complicated functions. We also discuss how to estimate the errors involved.
From playlist Mathematics for Finance & Actuarial Studies 2
Linear approximation (Ch4 Pr14)
How to approximate a function using its tangent. This is MATH1131/1141 Calculus Chapter 4 Problem 14. Presented by Dr Daniel Mansfield from the UNSW School of Mathematics and Statistics.
From playlist Mathematics 1A (Calculus)
Calculus 3.05c - Linear Approximation
Using a tangent line and a linear approximation to find an approximate value of a function at a given point.
From playlist Calculus Ch 3 - Derivatives
Polynomial approximation of functions (part 2)
Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series) More free lessons at: http://www.khanacademy.org/video?v=3JG3qn7-Sac
From playlist Calculus
Anthony Nouy: "Approximation and learning with tree tensor networks"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop I: Tensor Methods and their Applications in the Physical and Data Sciences "Approximation and learning with tree tensor networks" Anthony Nouy - Université de Nantes Abstract: Tree tensor networks (T
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
Olivier Benoist: Algebraic approximation of submanifolds of real algebraic varieties
CONFERENCE Recording during the thematic meeting : "Real Aspects of Geometry" the November 1, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audi
From playlist Algebraic and Complex Geometry
Cyril Demarche: Cohomological obstructions to local-global principles - lecture 1
Hasse proved that for quadrics the existence of rational points reduces to the existence of solutions over local fields. In many cases, cohomological constructions provide obstructions to such a local to global principle. The objective of these lectures is to give an introduction to these
From playlist Algebraic and Complex Geometry
David Ambrose: "Existence theory for nonseparable mean field games in Sobolev spaces"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop III: Mean Field Games and Applications "Existence theory for nonseparable mean field games in Sobolev spaces" David Ambrose - Drexel University Abstract: We will describe some existence results for the mean field games PDE system with n
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
G. Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 4)
In these lectures I will first recall the basic notions and results that are needed to study minimal surfaces in the smooth setting (above all the area formula and the first variation of the area), give a short review of the main (classical) techniques for existence results, and then outli
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
Erlend Fornæss Wold: Symplectic Carleman approximation on co-adjoint orbits
For a complex Lie group $G$ with a real form $G_{0}\subset G$, we prove that any Hamiltionian automorphism $\phi$ of a coadjoint orbit $\mathcal{O}_{0}$ of $G_{0}$ whose connected components are simply connected, may be approximated by holomorphic $O_{0}$-invariant symplectic automorphism
From playlist Analysis and its Applications
This is a third lecture on "Stochastic Yang-Mills" by Professor Martin Hairer. For more materials and slides visit: https://sites.google.com/view/oneworld-pderandom/home
From playlist Summer School on PDE & Randomness
Cornelia Schneider: Regularity in Besov spaces of parabolic PDEs
HYBRID EVENT This talk is concerned with the regularity of solutions to parabolic evolution equations. Special attention is paid to the smoothness in the specific scales $\ B^{r}_{\tau,\tau}, \ \frac{1}{\tau}=\frac{r}{d}+\frac{1}{p}\ $ of Besov spaces. The regularity in these spaces deter
From playlist Analysis and its Applications
Effective Rational Approximation on Spheres by Zouhair Ouaggag
PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) Effective rational approximation on spheres I present an effective estimate for the counting function of Diophantine approximants on spheres. This result uses homogeneous dynamics on the space of orthogonal lattices, in particular e
From playlist Ergodic Theory and Dynamical Systems 2022
How to find the position function given the acceleration function
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist Riemann Sum Approximation