Ordinary differential equations | Special functions
In mathematics, Mathieu functions, sometimes called angular Mathieu functions, are solutions of Mathieu's differential equation where and are parameters. They were first introduced by Émile Léonard Mathieu, who encountered them while studying vibrating elliptical drumheads. They have applications in many fields of the physical sciences, such as optics, quantum mechanics, and general relativity. They tend to occur in problems involving periodic motion, or in the analysis of partial differential equation boundary value problems possessing elliptic symmetry. (Wikipedia).
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
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
The Video going to guide how to make quadratic function with graph. lets see the video to make it, it's easy.
From playlist CALCULUS
Frédéric Barbaresco : Sympletic and Poly-Sypectic Model of Souriau Lie-Groups Thermodynamics : ...
Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 30, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent
From playlist Geometry
Function, Function, What's Your Function (Notation) // Math Minute [#13] [ALGEBRA]
Usually, when we ask new kinds of mathematical questions, we need to develop different kinds of mathematical notation to describe both the questions and the answers. Such is the case with function notation. We use f(x) to describe certain ways to relate inputs and outputs, including when w
From playlist Math Minutes
Gerald Dunne: Quantum geometry and resurgent perturbative/nonperturbative relations
Abstract: Certain quantum spectral problems have the remarkable property that the formal perturbative series for the energy spectrum can be used to generate all other terms in the entire trans-series, in a completely constructive manner. I explain a geometric all-orders WKB approach to the
From playlist Mathematical Physics
Functions of equations - IS IT A FUNCTION
👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r
From playlist What is the Domain and Range of the Function
Mathieu Henri: Monster Audio-Visual demos in a TCP packet | JSConf EU 2014
Whole new worlds come into life when the creative coding and technical madness of the Demoscene meet the breadth of optimization techniques of the web platform. In this talk we will step back from our day job, twist best practices, abuse JavaScript and web browsers, use good old smoke and
From playlist JSConf EU 2014
(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
Nicolas Rougerie - Bose gases at positive temperature and non-linear Gibbs measures
Nicolas Rougerie (ENS de Lyon) Bose gases at positive temperature and non-linear Gibbs measures. I shall discuss a certain mean-field limit for the positive temperature equilibria (Gibbs states) of the interacting Bose gas. This serves as a toy model for the understanding of the phase tr
From playlist Large-scale limits of interacting particle systems
Exotic patterns in Faraday waves by Laurette Tuckerman (Sorbonne University, France)
ICTS Special Colloquium Title: Exotic patterns in Faraday waves Speaker: Laurette Tuckerman (Sorbonne University, France) Date & Time: Thu, 20 February 2020, 11:30 to 13:00 Venue: Emmy Noether Seminar Room, ICTS Campus, Bangalore Abstract: For the Faraday instability, by which stand
From playlist ICTS Colloquia
Univers Convergents 2020 - Séance 1/6 - Les derniers jours du monde
Les derniers jours du monde de Arnaud et Jean Marie Larrieu (France - 2009 - 2h10) Séance du 28 janvier 2020 Un débat en présence de : Arnaud et Jean-Marie Larrieu - Réalisateurs Cécilia Calheiros - Sociologue Rodolphe Turpault - Mathématicien Résumé : La fin du monde est imminente. Ro
From playlist Ciné-Club Univers Convergents
Quantum Geometry and Resurgent Perturbative/Non-perturbative Relations by Gerald Dunne
Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography DATE:27 January 2018 to 03 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The program "Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography" aims to
From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography
Determine if the equation represents a function
👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r
From playlist What is the Domain and Range of the Function
Can't you just feel the Moonshine? - Ken Ono (Emory University) [2017]
Stony Brook Mathematics Colloquium Video Can't you just feel the Moonshine? Ken Ono, Emory University March 30, 2017 http://www.math.stonybrook.edu/Videos/Colloquium/video.php?f=20170330-Ono
From playlist Number Theory
The problem with `functions' | Arithmetic and Geometry Math Foundations 42a
[First of two parts] Here we address a core logical problem with modern mathematics--the usual definition of a `function' does not contain precise enough bounds on the nature of the rules or procedures (or computer programs) allowed. Here we discuss the difficulty in the context of funct
From playlist Math Foundations
As part of the college algebra series, this Center of Math video will teach you the basics of functions, including how they're written and what they do.
From playlist Basics: College Algebra
Anne TAORMINA - Mathieu Moonshine: Symmetry Surfing and Quarter BPS States at the Kummer Point
The elliptic genus of K3 surfaces encrypts an intriguing connection between the sporadic group Mathieu 24 and non-linear sigma models on K3, dubbed “Mathieu Moonshine”. By restricting to Kummer K3 surfaces, which may be constructed as Z2 orbifolds of complex 2-tori with blown up singularit
From playlist Integrability, Anomalies and Quantum Field Theory
What is a Function? Calculus for Beginners: Dr Chris Tisdell Live Stream
What is a function and how are they useful? This video will answer these questions from an elementary mathematics point of view. Functions are a bit like a machine that follows a processing rule. You input something (like a number), the machine processes the number according to the rule,
From playlist Calculus for Beginners
Alessandra Sarti, Old and new on the symmetry groups of K3 surfaces
VaNTAGe Seminar, Feb 9, 2021
From playlist Arithmetic of K3 Surfaces