Theorems in analysis | Fourier analysis | Inequalities
In mathematics, historically Wirtinger's inequality for real functions was an inequality used in Fourier analysis. It was named after Wilhelm Wirtinger. It was used in 1904 to prove the isoperimetric inequality. A variety of closely related results are today known as Wirtinger's inequality. (Wikipedia).
Complex Analysis - Part 8 - Wirtinger Derivatives
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From playlist Complex Analysis
Xiadong Li: Phase Retrieval from Convex to Nonconvex Methods
Xiadong Li: Phase Retrieval from Convex to Nonconvex Methods Abstract: In phase retrieval, one aims to recover a signal from magnitude measurements. In the literature, an effective SDP algorithm, referred to as PhaseLift, was proposed with numerical success as well as strong theoretical g
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
Frédéric Hérau: A Korn Wirtinger inequality
The lecture was held within the of the Hausdorff Junior Trimester Program: Kinetic Theory Abstract: In kinetic theory or in other fields, some control of the gradient by the symmetric gradient of the macroscopic velocity of a system of particle may be necessary, since only the second qua
From playlist HIM Lectures: Junior Trimester Program "Kinetic Theory"
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From playlist The Properties of Functions
Jeffrey Achter, Equidistribution counts abelian varieties
VaNTAGe Seminar, February 22, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk are listed below. Sutherland: https://arxiv.org/abs/1604.01256 Gekeler: https://academic.oup.com/imrn/article/2003/37/1999/863196 Job Rauch: https://www.universiteitleiden.nl/binar
From playlist Curves and abelian varieties over finite fields
Ex 1: Determine if a Function is Odd, Even, or Neither
This video provides two examples of determining graphically and algebraically if a function is odd or even or neither. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Solving Polynomial Inequality
Calculus 1: Limits & Derivatives (9 of 27) Finding the Limit of a Function - Example 4
Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the limit of a function. Next video in the series can be seen at: http://youtu.be/-_Hw9hZ89DY
From playlist CALCULUS 1 CH 1 LIMITS & DERIVATIVES
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
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
Ex: Function Values Using Function Arithmetic
This video provides examples of how to determine function values using function arithmetic. Site: http://mathispower4u.com
From playlist The Properties of Functions
When is a function bounded below?
👉 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
Riemann Sum Defined w/ 2 Limit of Sums Examples Calculus 1
I show how the Definition of Area of a Plane is a special case of the Riemann Sum. When finding the area of a plane bound by a function and an axis on a closed interval, the width of the partitions (probably rectangles) does not have to be equal. I work through two examples that are rela
From playlist Calculus
Ex: Function Arithmetic - Determine Function Values from a Table
This video explains how to find the sum, difference, product, and quotient of two functions using the graphs of the two functions. Site: http://mathispower4u.com
From playlist The Properties of Functions
8ECM Invited Lecture: Rupert Frank
From playlist 8ECM Invited Lectures
Radek Adamczak: Functional inequalities and concentration of measure II
Concentration inequalities are one of the basic tools of probability and asymptotic geo- metric analysis, underlying the proofs of limit theorems and existential results in high dimensions. Original arguments leading to concentration estimates were based on isoperimetric inequalities, whic
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Joe Neeman: Gaussian isoperimetry and related topics I
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Peter Pivovarov: Random s-concave functions and isoperimetry
I will discuss stochastic geometry of s-concave functions. In particular, I will explain how a ”local” stochastic isoperimetry underlies several functional inequalities. A new ingredient is a notion of shadow systems for s-concave functions. Based on joint works with J. Rebollo Bueno.
From playlist Workshop: High dimensional spatial random systems
Concentration of quantum states from quantum functional (...) - N. Datta - Workshop 2 - CEB T3 2017
Nilanjana Datta / 24.10.17 Concentration of quantum states from quantum functional and transportation cost inequalities Quantum functional inequalities (e.g. the logarithmic Sobolev- and Poincaré inequalities) have found widespread application in the study of the behavior of primitive q
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
The adjoint Brascamp-Lieb inequality - Terence Tao
Analysis and Mathematical Physics Topic: The adjoint Brascamp-Lieb inequality Speaker: Terence Tao Affiliation: University of California, Los Angeles Date: March 08, 2023 The Brascamp-Lieb inequality is a fundamental inequality in analysis, generalizing more classical inequalities such a
From playlist Mathematics
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