In mathematics, a doubly periodic function is a function defined on the complex plane and having two "periods", which are complex numbers u and v that are linearly independent as vectors over the field of real numbers. That u and v are periods of a function ƒ means that for all values of the complex number z. The doubly periodic function is thus a two-dimensional extension of the simpler singly periodic function, which repeats itself in a single dimension. Familiar examples of functions with a single period on the real number line include the trigonometric functions like cosine and sine, In the complex plane the exponential function ez is a singly periodic function, with period 2πi. (Wikipedia).
Lecture 9.1 Periodic functions
Periodic functions are functions that repeat themselves at regular intervals. In this lecture, we discuss the properties of periodic functions.
From playlist MATH2018 Engineering Mathematics 2D
Complex analysis: Elliptic functions
This lecture is part of an online undergraduate course on complex analysis. We start the study of elliptic (doubly periodic) functions by constructing some examples, and finding some conditions that their poles and zeros must satisfy. For the other lectures in the course see https://www
From playlist Complex analysis
Is Constant Function Periodic Function?
#shorts #mathonshorts Is Constant Function Periodic Function? The answer is yes, and any non-zero P is a period.
From playlist "Smarter In-A-Minute" Math on Shorts
Transcendental Functions 17 The Indefinite Integral of 1 over u du Example 2.mov
More example problems involving the integral of 1 over u, du.
From playlist Transcendental Functions
Electrical Engineering: Ch 18: Fourier Series (13 of 35) Even Periodic Functions
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how even periodic functions affect the Fourier series. First video in this series can be seen at: https://youtu.be/0zZMCmKfbWk
From playlist ELECTRICAL ENGINEERING 17: THE FOURIER SERIES
Definition of a Surjective Function and a Function that is NOT Surjective
We define what it means for a function to be surjective and explain the intuition behind the definition. We then do an example where we show a function is not surjective. Surjective functions are also called onto functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear ht
From playlist Injective, Surjective, and Bijective Functions
algebraic geometry 32 Elliptic functions and cubic curves
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the relation between elliptic functions and cubic curves, and uses this to show that cubic curves are not rational.
From playlist Algebraic geometry I: Varieties
Schemes 35: Divisors on a Riemann surface
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we discuss the divisors on Riemann surfaces of genus 0 or 1, and show how the classical theory of elliptic functions determines the divisor cla
From playlist Algebraic geometry II: Schemes
Periodically Driven Array of Single Rydberg Atoms by Rejish Nath
Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q
From playlist Open Quantum Systems
Transcendental Functions 17 The Indefinite Integral of 1 over u du Example 1.mov
Example problems involving the integral of u to the power negative 1 du.
From playlist Transcendental Functions
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
Seminar In the Analysis and Methods of PDE (SIAM PDE): Patrick Gérard
Title: A survey of the Benjamin-Ono equation with periodic boundary conditions Date: Thursday, November 3, 2022, 11:30 am EDT Speaker: Patrick Gérard, Université Paris-Saclay, France Abstract: The Benjamin-Ono equation is a nonlinear dispersive wave equation in one space dimension, introd
From playlist Seminar In the Analysis and Methods of PDE (SIAM PDE)
FFT based spectral Ewald methods as an alternative to multipole methods – A.-K. Tornberg – ICM2018
Numerical Analysis and Scientific Computing Invited Lecture 15.5 FFT based spectral Ewald methods as an alternative to fast multipole methods Anna-Karin Tornberg Abstract: In this paper, we review a set of fast and spectrally accurate methods for rapid evaluation of three dimensional ele
From playlist Numerical Analysis and Scientific Computing
Flux periodicity crossover in higher order topological superconductors by Sumathi Rao
DISCUSSION MEETING : EDGE DYNAMICS IN TOPOLOGICAL PHASES ORGANIZERS : Subhro Bhattacharjee, Yuval Gefen, Ganpathy Murthy and Sumathi Rao DATE & TIME : 10 June 2019 to 14 June 2019 VENUE : Madhava Lecture Hall, ICTS Bangalore Topological phases of matter have been at the forefront of r
From playlist Edge dynamics in topological phases 2019
Zero mean curvature surfaces in Euclidean and Lorentz-Minkowski....(Lecture 1) by Shoichi Fujimori
Discussion Meeting Discussion meeting on zero mean curvature surfaces (ONLINE) Organizers: C. S. Aravinda and Rukmini Dey Date: 07 July 2020 to 15 July 2020 Venue: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conduct
From playlist Discussion Meeting on Zero Mean Curvature Surfaces (Online)
Determine Where the Function is Not Continuous
In this video I will show you how to Determine Where the Function is Not Continuous.
From playlist Continuity Problems
Supersymmetric Black Holes, The Superconformal Index and Phases... (Lecture 3) by Sameer Murthy
INFOSYS-ICTS STRING THEORY LECTURES Supersymmetric Black Holes, The Superconformal Index and Phases of AdS/CFT SPEAKER: Sameer Murthy (King's College, London, UK) DATE: 02 August 2022 to 05 August 2022 VENUE: Madhava Lecture Hall, ICTS-TIFR, Bengaluru Lecture 1: 02 August 2022 at 03:30
From playlist Infosys-ICTS String Theory Lectures
Jan Stienstra: Zhegalkin Zebra Motives, digital recordings of Mirror Symmetry
The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: I present a very simple construction of doubly-periodic tilings of the plane by convex black and white polygons. These tilings are the motives
From playlist HIM Lectures: Trimester Program "Periods in Number Theory, Algebraic Geometry and Physics"
Introduction to Discrete and Continuous Functions
This video defines and provides examples of discrete and continuous functions.
From playlist Introduction to Functions: Function Basics