Number theory | Complex analysis | Inequalities
In analysis, a branch of mathematics, Hilbert's inequality states that for any sequence u1,u2,... of complex numbers. It was first demonstrated by David Hilbert with the constant 2Ο instead of Ο; the sharp constant was found by Issai Schur. It implies that the discrete Hilbert transform is a bounded operator in β2. (Wikipedia).
Solving and graphing a linear inequality
π Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-ste
From playlist Solve and Graph Inequalities | Multi-Step Without Parenthesis
Solving a linear inequality with fractions
π Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-ste
From playlist Solve and Graph Inequalities | Multi-Step Without Parenthesis
Solving and graphing a multi-step inequality
π Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Solving a multi-step inequality and then graphing
π Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Solving and graphing an inequality with infinite many solutions
π Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Solving and Graphing an inequality when the solution point is a decimal
π Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Solving and graphing an inequality
π Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Solving an inequality with a parenthesis on both sides
π Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Commutative algebra 57: Krull versus Hilbert
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We continue the previous video by showing that the Krull dimension of a Noetherian local ring is at most the dimension defined
From playlist Commutative algebra
Lecture 14: Basic Hilbert Space Theory
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=EBdgFFf54U0&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
Graph comparison - Anton Petrunin
Analysis Seminar Topic: Graph comparison Speaker: Anton Petrunin Affiliation: Pennsylvania State University Date: March 01, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Commutative algebra 56: Hilbert polynomial versus system of parameters
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. In this lecture we show that the dimension of a local ring, defined using Hilbert polynomials, is at most the dimension define
From playlist Commutative algebra
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=BYR1fXW95zY&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
MAST30026 Lecture 20: Hilbert space (Part 1)
I defined inner product spaces, proved the Cauchy-Schwartz inequality and that any inner product space gives rise to a normed space, defined Hilbert spaces and proved that in a Hilbert space given a vector and a closed, convex nonempty subset there is a closest point in the subset to the v
From playlist MAST30026 Metric and Hilbert spaces
The mother of all representer theorems for inverse problems & machine learning - Michael Unser
This workshop - organised under the auspices of the Isaac Newton Institute on βApproximation, sampling and compression in data scienceβ β brings together leading researchers in the general fields of mathematics, statistics, computer science and engineering. About the event The workshop ai
From playlist Mathematics of data: Structured representations for sensing, approximation and learning
Lecture with Ole Christensen. Kapitler: 00:00 - Def: Hilbert Space; 05:00 - New Example Of A Hilbert Space; 15:15 - Operators On Hilbert Spaces; 20:00 - Example 1; 24:00 - Example 2; 38:30 - Riesz Representation Theorem; 43:00 - Concerning Physics;
From playlist DTU: Mathematics 4 Real Analysis | CosmoLearning.org Math
Solving a multi step inequality simplify both sides
π Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-ste
From playlist Solve and Graph Inequalities | Multi-Step Without Parenthesis
Entropy bounds for reduced density matrices of fermionic states - Elliott Lieb
Elliott Lieb Princeton Univ April 2, 2014 For more videos, visit http://video.ias.edu
From playlist Mathematics
Proof of a 35 Year Old Conjecture for Entropy of Coherent States and Generalization - Elliot Lieb
Elliot Lieb Princeton University November 12, 2012 35 years ago Wehrl defined a classical entropy of a quantum density matrix using Gaussian (Schr\"odinger, Bargmann, ...) coherent states. This entropy, unlike other classical approximations, has the virtue of being positive. He conjectured
From playlist Mathematics
Solving a multi step inequality
π Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis