Smooth functions | Approximation theory

Constructive function theory

In mathematical analysis, constructive function theory is a field which studies the connection between the smoothness of a function and its degree of approximation. It is closely related to approximation theory. The term was coined by Sergei Bernstein. (Wikipedia).

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Rational Functions

In this video we cover some rational function fundamentals, including asymptotes and interecepts.

From playlist Polynomial Functions

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2.11117 What is a rational function Functions

http://www.freemathvideos.com presents: Learn math your way. My mission is to provide quality math education to everyone that is willing to receive it. This video is only a portion of a video course I have created as a math teacher. Please visit my website to join my mailing list, downloa

From playlist Rational Functions - Understanding

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Theory of numbers: Multiplicative functions

This lecture is part of an online undergraduate course on the theory of numbers. Multiplicative functions are functions such that f(mn)=f(m)f(n) whenever m and n are coprime. We discuss some examples, such as the number of divisors, the sum of the divisors, and Euler's totient function.

From playlist Theory of numbers

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What is a function?

This video explains what a mathematical function is and how it defines a relationship between two sets, the domain and the range. It also introduces three important categories of function: injective, surjective and bijective.

From playlist Foundational Math

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Determine if a Function is a Polynomial Function

This video explains how to determine if a function is a polynomial function. http://mathispower4u.com

From playlist Determining the Characteristics of Polynomial Functions

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Injective, Surjective and Bijective Functions (continued)

This video is the second part of an introduction to the basic concepts of functions. It looks at the different ways of representing injective, surjective and bijective functions. Along the way I describe a neat way to arrive at the graphical representation of a function.

From playlist Foundational Math

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algebraic geometry 31 Rational maps

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the definition of rational functions and rational maps, and gives an example of a cubic curve that is not birational to the affine line.

From playlist Algebraic geometry I: Varieties

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(New Version Available) Inverse Functions

New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/

From playlist Exponential and Logarithmic Expressions and Equations

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Classify a polynomial then determining if it is a polynomial or not

👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

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Axioms of Constructive Set Theory Explained

In this video we're going to discuss the various axiom schemes of constructive set theories and how they relate to type theory. I cover BCST, ECST, IKP, KPI, KP, CST, CZF, IZF, Mac Lane, Z and variants equi-consistent to ETCS from category theory, and then of course ZF and ZFC. The text I

From playlist Logic

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SHM - 16/01/15 - Constructivismes en mathématiques - Henri Lombardi

Henri Lombardi (LMB, Université de Franche-Comté), « Foundations of Constructive Analysis, Bishop, 1967 : une refondation des mathématiques, constructive, minimaliste et révolutionnaire »

From playlist Les constructivismes mathématiques - Séminaire d'Histoire des Mathématiques

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SHM - 16/01/15 - Constructivismes en mathématiques - Frédéric Brechenmacher

Frédéric Brechenmacher (LinX, École polytechnique), « Effectivité et généralité dans la construction des grandeurs algébriques de Kronecker »

From playlist Les constructivismes mathématiques - Séminaire d'Histoire des Mathématiques

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Roberta Iseppi: The BV-BRST cohomology for U(n)-gauge theories induced by finitespectral triples

Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: The Batalin–Vilkovisky (BV) formalism provides a cohomological approach for the study of gauge symmetries: given a gauge theory, by introducing extra (non-existing) f

From playlist Noncommutative geometry meets topological recursion 2021

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Univalent Foundations Seminar - Steve Awodey

Steve Awodey Carnegie Mellon University; Member, School of Mathematics November 19, 2012 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Modular Transformation of Conformal Blocks via Liouville CFT - Yi Sun

Probability Seminar Topic: Modular Transformation of Conformal Blocks via Liouville CFT Speaker: Yi Sun Affiliation: University of Chicago Date: December 02, 2022 Conformal blocks are objects of fundamental importance in the bootstrap approach for exact solvability of 2D conformal field

From playlist Mathematics

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Cohomological Field Theories from GLSMs (Lecture 2) by David Favero

PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie

From playlist Vortex Moduli - 2023

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Univalence from a computer science point-of-view - Dan Licata

Vladimir Voevodsky Memorial Conference Topic: Univalence from a computer science point-of-view Speaker: Dan Licata Affiliation: Wesleyan University Date: September 14, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

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Davesh Maulik - Stable Pairs and Gopakumar-Vafa Invariants 1/5

In the first part of the course, I will give an overview of Donaldson-Thomas theory for Calabi-Yau threefold geometries, and its cohomological refinement. In the second part, I will explain a conjectural ansatz (from joint work with Y. Toda) for defining Gopakumar-Vafa invariants via modul

From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory

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Determine Generating Functions of Sequences from Known Generating Functions (Part 2)

This video explains how to determine generating functions of sequences from known generating functions. mathispower4u.com

From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)

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Applied String Theory (Lecture 2) Dam Thanh Son

Speaker : Dam Thanh Son (University of Washington) Date and Time : 21 Mar 2011, 04:00 PM Venue : AG 66, TIFR, Mumbai Gauge/gravity duality, discovered in string theory in 1997, has became a powerful theoretical tool in the study of quantum field theories at strong coupling. I will review

From playlist Chandrasekhar Lectures

Related pages

Bernstein's theorem (approximation theory) | Sergei Bernstein | Approximation theory | Function (mathematics) | Jackson's inequality | Trigonometric polynomial | Mathematical analysis | Hölder condition