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
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
Convex Norms and Unique Best Approximations
In this video, we explore what it means for a norm to be convex. In particular we will look at how convex norms lead to unique best approximations. For example, for any continuous function there will be a unique polynomial which gives the best approximation over a given interval. Chapte
From playlist Approximation Theory
The Lp Norm for Vectors and Functions
In this video, we expand on the idea of L1 and L2 norms, introduced in the previous video to the more general Lp norm. We will get explain how the norms are calculated and try to get an intuition of the differences between the different Lp norms. Chapters 0:00 - Introduction 1:15 - Lp No
From playlist Approximation Theory
Learn to evaluate the integral with functions as bounds
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct
From playlist Evaluate Using The Second Fundamental Theorem of Calculus
Midpoint riemann sum approximation
👉 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 The Integral
Minimax Approximation and the Exchange Algorithm
In this video we'll discuss minimax approximation. This is a method of approximating functions by minimisation of the infinity (uniform) norm. The exchange algorithm is an iterative method of finding the approximation which minimises the infinity norm. FAQ : How do you make these animatio
From playlist Approximation Theory
Deep Learning Lecture 3.3 - Universal Representation Theorem
Deep Learning Lecture - Universal Representation Theorem for neural network functions
From playlist Deep Learning Lecture
Local Maximum and Local Minimum of a Definite Integral Function (Accumulation Function)
This video provides an example of how to determine when a definite integral function would have local maximums or local minimums. Site: http://mathispower4u.com
From playlist Definite Integrals and The Fundamental Theorem of Calculus
Josef Teichmann: An elementary proof of the reconstruction theorem
CIRM VIRTUAL EVENT Recorded during the meeting "Pathwise Stochastic Analysis and Applications" the March 09, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematician
From playlist Virtual Conference
Gourab Ray : Universality of fluctuations of the dimer model
Recording during the thematic meeting : "Pre-School on Combinatorics and Interactions" the January 13, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent
From playlist Combinatorics
Fourteenth Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series Talk
Date: Wednesday, February 17, 2021, 10:00am EDT Speaker: Anders Hansen, University of Cambridge Title: On the foundations of computational mathematics, Smale’s 18th problem and the potential limits of AI Abstract: There is a profound optimism on the impact of deep learning (DL) and AI w
From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series
Amos Nevo: Representation theory, effective ergodic theorems, and applications - Lecture 4
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 Dynamical Systems and Ordinary Differential Equations
The two-dimensional KPZ and other marginally relevant disordered systems by Nikolaos Zygouras
PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the
From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019
Operator Scaling via Geodesically Convex Optimization, Invariant Theory... - Yuanzhi Li
Optimization, Complexity and Invariant Theory Topic: Operator Scaling via Geodesically Convex Optimization, Invariant Theory and Polynomial Identity Testing Speaker: Yuanzhi Li Affiliation: Princeton University Date: June 7. 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Oxford Calculus: Taylor's Theorem Explained with Examples and Derivation
University of Oxford mathematician Dr Tom Crawford derives Taylor's Theorem for approximating any function as a polynomial and explains how the expansion works with two detailed examples. Test yourself with some exercises on Taylor's Theorem with this FREE worksheet in Maple Learn: https
From playlist Oxford Calculus
Christopher Schafhauser: On the classification of nuclear simple C*-algebras, Lecture 3
Mini course of the conference YMC*A, August 2021, University of Münster. Abstract: A conjecture of George Elliott dating back to the early 1990’s asks if separable, simple, nuclear C*-algebras are determined up to isomorphism by their K-theoretic and tracial data. Restricting to purely i
From playlist YMC*A 2021
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