Mathematical series | Asymptotic analysis
In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior. As an illustration, suppose that we are interested in the properties of a function f (n) as n becomes very large. If f(n) = n2 + 3n, then as n becomes very large, the term 3n becomes insignificant compared to n2. The function f(n) is said to be "asymptotically equivalent to n2, as n → ∞". This is often written symbolically as f (n) ~ n2, which is read as "f(n) is asymptotic to n2". An example of an important asymptotic result is the prime number theorem. Let π(x) denote the prime-counting function (which is not directly related to the constant pi), i.e. π(x) is the number of prime numbers that are less than or equal to x. Then the theorem states that Asymptotic analysis is commonly used in computer science as part of the analysis of algorithms and is often expressed there in terms of big O notation. (Wikipedia).
Brainstorming: What is an Asymptote?
In this video, we explore what it means for a curve to have an asymptote. We focus on how to determine when a function has a vertical and/or horizontal asymptote. College Algebra homepage: http://webspace.ship.edu/jehamb/calg.html
From playlist College Algebra
What are asymptotes? How to find them (several examples). 00:00 Intro 00:07 What is an asymptote? 00:36 Three types of asymptote 02:08 Find horizontal asymptotes for rational functions 04:55 Functions with Two horizontal asymptotes 05:50 Find vertical asymptotes 07:24 Find oblique as
From playlist Calculus
How To Find The Vertical Asymptote of a Function
This algebra video tutorial explains how to find the vertical asymptote of a function. It explains how to distinguish a vertical asymptote from a hole and how to factor rational functions in order to identify all vertical asymptotes in a function. This video contains plenty of examples a
From playlist New Precalculus Video Playlist
Oblique Asymptotes (1 of 3: Comparing with other asymptotes)
More resources available at www.misterwootube.com
From playlist Further Work with Functions (related content)
Asymptotes | Graphs | Maths | FuseSchool
Asymptotes | Graphs | Maths | FuseSchool What is an asymptote? An asymptote is a line which continually approaches a curve. The curve gets really really really close to the line but it never quite touches it... why? In this video, we learn all about what an asymptote is. SUBSCRIBE to th
From playlist MATHS
Horizontal Asymptotes of Irrational Functions
I work through finding the horizontal asymptotes when the function is irrational. These types of functions can have two horizontal asymptotes instead of just one like rational functions. Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and th
From playlist Calculus
Short-Scale Instabilities of Internal Wave Beams: From Floquet Analysis... by Triantaphyllos Akylas
DISCUSSION MEETING WAVES, INSTABILITIES AND MIXING IN ROTATING AND STRATIFIED FLOWS (ONLINE) ORGANIZERS: Thierry Dauxois (CNRS & ENS de Lyon, France), Sylvain Joubaud (ENS de Lyon, France), Manikandan Mathur (IIT Madras, India), Philippe Odier (ENS de Lyon, France) and Anubhab Roy (IIT M
From playlist Waves, Instabilities and Mixing in Rotating and Stratified Flows (ONLINE)
Mod-06 Lec-32 Stability Equilibrium Points Continued II
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
Professor Kostas Zygalakis, University of Edinburgh
Bio He received his PhD in computational stochastic differential equations from University of Warwick at 2009 and held postdoctoral positions at the Universities of Cambridge, Oxford and the Swiss Federal Institute of Technology, Lausanne. In 2011 he was awarded a Leslie Fox Prize (IMA UK
From playlist Short Talks
Calculus 1 Lecture 1.2 Part 4: Properties of Limits. Techniques of Limit Computation
From playlist Calculus 1 Playlist 1
Asymptotic Analysis of Spectral Problems in Thick Junctions with the Branched...by Taras Mel’nyk
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)
How to Graph Rational Functions using vertical asymptotes, horizontal asymptotes, x-intercepts, and y-intercepts. 0:12 Example 1 Degree in Denominator is Greater than Numerator 0:48 Factoring to Look For Discontinuities 1:19 Set Denominator Factors to Zero to Find Vertical Asymptotes 1:58
From playlist PreCalculus
Brainstorming: Finding the Asymptotes of a Rational Function
In this video, we explore how to find the asymptotes (vertical and horizontal) of a rational function. College Algebra homepage: http://webspace.ship.edu/jehamb/calg.html
From playlist College Algebra
André Voros - Resurgent Theta-functions...
Resurgent Theta-functions: a conjectured gateway into dimension D superior at 1 quantum mechanics Resurgent analysis of the stationary Schrödinger equation (exact-WKB method) has remained exclusivelyconfined to 1D systems due to its underlying linear-ODE techniques.Here, b
From playlist Resurgence in Mathematics and Physics
[Lesson 27] QED Prerequisites Laplace's Method, Stationary Phase
This is the first of two lessons focusing on the critical asymptotic expression for the spherical Bessel functions. In this lesson we study the Laplace method for real integral representations of functions, and then the stationary phase method for a certain type of integral representation
From playlist QED- Prerequisite Topics
Philippe G. LeFloch - Gravitational singularities, massive fields, and asymptotic localization
Recorded 7 October 2021. Philippe G. LeFloch of the Sorbonne University, Paris presents "Gravitational singularities, massive fields, and asymptotic localization" at IPAM's Workshop I: Computational Challenges in Multi-Messenger Astrophysics. Abstract: I will present recent mathematical ad
From playlist Workshop: Computational Challenges in Multi-Messenger Astrophysics
Davy Paindaveine - Testing for principal component directions under weak identifiability
Professor Davy Paindaveine (Université Libre de Bruxelles) presents “Testing for principal component directions under weak identifiability", 2 October 2020.
From playlist Statistics Across Campuses
Asymptotes and intercepts of the reciprocal function
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of
From playlist Find the Asymptotes of Rational Functions