Topological groups | Real analysis | Complex analysis | Types of functions | Fourier analysis
In mathematics, an almost periodic function is, loosely speaking, a function of a real number that is periodic to within any desired level of accuracy, given suitably long, well-distributed "almost-periods". The concept was first studied by Harald Bohr and later generalized by Vyacheslav Stepanov, Hermann Weyl and Abram Samoilovitch Besicovitch, amongst others. There is also a notion of almost periodic functions on locally compact abelian groups, first studied by John von Neumann. Almost periodicity is a property of dynamical systems that appear to retrace their paths through phase space, but not exactly. An example would be a planetary system, with planets in orbits moving with periods that are not commensurable (i.e., with a period vector that is not proportional to a vector of integers). A theorem of Kronecker from diophantine approximation can be used to show that any particular configuration that occurs once, will recur to within any specified accuracy: if we wait long enough we can observe the planets all return to within a second of arc to the positions they once were in. (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
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
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
Sample exam questions on periodic functions, odd and even extensions, and Fourier series.
From playlist MATH2018 Engineering Mathematics 2D
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
Define linear functions. Use function notation to evaluate linear functions. Learn to identify linear function from data, graphs, and equations.
From playlist Algebra 1
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
Calculus - Continuous functions
This video will describe how calculus defines a continuous function using limits. Some examples are used to find where a function is continuous, and where it is not continuous. Remember to check that the value at c and the limit as x approaches c exist, and agree. For more videos please
From playlist Calculus
Trig - 0.5 Periodic and Even and Odd Function Properties
This is a very brief discussion of the period of trigonometric functions and how the period can be used in evaluating trig functions. In addition, we discuss even and odd functions and their properties. Power Point: https://bellevueuniversity-my.sharepoint.com/:p:/g/personal/kbrehm_bellev
From playlist Trig Review for Calculus in 10 Minutes or Less
Time quasi-periodic gravity water waves in finite depth - Massimiliano Berti
http://www.math.ias.edu/seminars/abstract?event=132449 More videos on http://video.ias.edu
From playlist Mathematics
Lecture 16: Fejer’s Theorem and Convergence of Fourier Series
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=8IxHMVf3jcA&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
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)
CEB T2 2017 - Fraydoun Rezakhanlou - 3/3
Fraydoun Rezakhanlou (Berkeley) - 09/06/2017 The lectures will discuss the following topics: 1. Scalar Conservation Laws and theirs Markovian solutions 2. Conservation laws with stochastic external force 3. Hamilton-Jacobi PDE, Hamiltonian ODEs and Mather Theory 4. Homogenization for
From playlist 2017 - T2 - Stochastic Dynamics out of Equilibrium - CEB Trimester
19. Relations Among Fourier Representations
MIT MIT 6.003 Signals and Systems, Fall 2011 View the complete course: http://ocw.mit.edu/6-003F11 Instructor: Dennis Freeman License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.003 Signals and Systems, Fall 2011
[BOURBAKI 2018] 13/01/2018 - 2/4 - Raphaël BEUZART-PLESSIS
Progrès récents sur les conjectures de Gan-Gross-Prasad [d'après Jacquet-Rallis, Waldspurger, W. Zhang, etc.] Les conjectures de Gan-Gross-Prasad ont deux aspects: localement elles décrivent de façon explicite certaines lois de branchements entre représentations de groupes de Lie réels ou
From playlist BOURBAKI - 2018
Closing Lemmas and Pseudoholomorphic Curves
Short Talks by Postdoctoral Members Topic: Closing Lemmas and Pseudoholomorphic Curves Speaker: Shira Tanny Affiliation: Member, School of Mathematics September 30, 2022
From playlist Short Talks by Postdoctoral Members
Stefan Teufel: Peierls substitution for magnetic Bloch bands
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 SPECIAL 7th European congress of Mathematics Berlin 2016.
Hakan Eliasson: Quasi-periodic wave equation - almost reducibility-
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
What are even and odd functions
👉 Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical about the origin, or a function is odd if f(-x) = -f(
From playlist Characteristics of Functions
Closing Lemmas in Contact Dynamics and Holomorphic Curves - Shira Tanny
Members' Colloquium Topic: Closing Lemmas in Contact Dynamics and Holomorphic Curves Speaker: Shira Tanny Affiliation: Member, School of Mathematics Date: January 30, 2023 Given a flow on a manifold, how to perturb it in order to create a periodic orbit passing through a given region? Wh
From playlist Mathematics