Maximal functions appear in many forms in harmonic analysis (an area of mathematics). One of the most important of these is the Hardy–Littlewood maximal function. They play an important role in understanding, for example, the differentiability properties of functions, singular integrals and partial differential equations. They often provide a deeper and more simplified approach to understanding problems in these areas than other methods. (Wikipedia).
Ex: Limits Involving the Greatest Integer Function
This video provides four examples of how to determine limits of a greatest integer function. Site: http://mathispower4u.com
From playlist Limits
Functional Analysis Lecture 10 2014 02 20 L^p boundedness of the Maximal Function
Definition of maximal function. Weak-type inequality. Covering lemma. Distribution function of a non-negative measurable function. Tchebychev’s inequality. Proof of boundedness of the maximal function via interpolation. Atomic Decomposition of Hardy space H_r^1: definition of atoms;
From playlist Course 9: Basic Functional and Harmonic Analysis
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
What are bounded functions and how do you determine the boundness
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi
From playlist Characteristics of Functions
Using the vertical line test to determine if a graph is a function or not
👉 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
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
How to determine if an ordered pair is a function or not
👉 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
Determine the domain, range and if a relation is 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
What is the max and min of a horizontal line on a closed interval
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points
From playlist Extreme Value Theorem of Functions
Unit 2 - consumer mistakes part 1
From playlist Courses and Series
James Wright: Maximal functions along lines and along curves
The lecture was held within the framework of the Hausdorff Trimester Program Harmonic Analysis and Partial Differential Equations. 16.7.2014
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
Mod-03 Lec-15 Further Aspects of Cournot Model
Game Theory and Economics by Dr. Debarshi Das, Department of Humanities and Social Sciences, IIT Guwahati. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist IIT Guwahati: Game Theory and Economics | CosmoLearning.org Economics
Maria Montanucci: Algebraic curves with many rational points over finite fields
CONFERENCE Recording during the thematic meeting : « Conference On alGebraic varieties over fiNite fields and Algebraic geometry Codes» the February 13, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks
From playlist Algebraic and Complex Geometry
Ex: Find a Demand Function and a Rebate Amount to Maximize Revenue and Profit
This video explains how to find the demand function from given information and how to determine a rebate amount to maximize revenue and profit. Site: http://mathispower4u.com
From playlist Applications of Differentiation – Maximum/Minimum/Optimization Problems
AI That Doesn't Try Too Hard - Maximizers and Satisficers
Powerful AI systems can be dangerous in part because they pursue their goals as strongly as they can. Perhaps it would be safer to have systems that don't aim for perfection, and stop at 'good enough'. How could we build something like that? Generating Fake YouTube comments with GPT-2: ht
From playlist Technical
D. Stern - Harmonic map methods in spectral geometry (version temporaire)
Over the last fifty years, the problem of finding sharp upper bounds for area-normalized Laplacian eigenvalues on closed surfaces has attracted the attention of many geometers, due in part to connections to the study of sphere-valued harmonic maps and minimal immersions. In this talk, I'll
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
5. Maximum Likelihood Estimation (cont.)
MIT 18.650 Statistics for Applications, Fall 2016 View the complete course: http://ocw.mit.edu/18-650F16 Instructor: Philippe Rigollet In this lecture, Prof. Rigollet talked about maximizing/minimizing functions, likelihood, discrete cases, continuous cases, and maximum likelihood estimat
From playlist MIT 18.650 Statistics for Applications, Fall 2016
Jonathan Hickman: The helical maximal function
The circular maximal function is a singular variant of the familiar Hardy--Littlewood maximal function. Rather than take maximal averages over concentric balls, we take maximal averages over concentric circles in the plane. The study of this operator is closely related to certain GMT packi
From playlist Seminar Series "Harmonic Analysis from the Edge"
Find the max and min from a quadratic on a closed interval
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points
From playlist Extreme Value Theorem of Functions
D. Stern - Harmonic map methods in spectral geometry
Over the last fifty years, the problem of finding sharp upper bounds for area-normalized Laplacian eigenvalues on closed surfaces has attracted the attention of many geometers, due in part to connections to the study of sphere-valued harmonic maps and minimal immersions. In this talk, I'll
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics