Measures (measure theory)

Convex measure

In measure and probability theory in mathematics, a convex measure is a probability measure that — loosely put — does not assign more mass to any intermediate set "between" two measurable sets A and B than it does to A or B individually. There are multiple ways in which the comparison between the probabilities of A and B and the intermediate set can be made, leading to multiple definitions of convexity, such as log-concavity, , and so on. The mathematician was a pioneer of the detailed study of convex measures on locally convex spaces in the 1970s. (Wikipedia).

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What is the difference between convex and concave

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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What are convex polygons

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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What is the difference between convex and concave polygons

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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Micrometer/diameter of daily used objects.

What was the diameter? music: https://www.bensound.com/

From playlist Fine Measurements

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What is the definition of a regular polygon and how do you find the interior angles

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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Geometry - Ch. 1: Basic Concepts (28 of 49) What are Convex and Concave Angles?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how to identify convex and concave polygons. Convex polygon: When extending any line segment (side) it does NOT cut through any of the other sides. Concave polygon: When extending any line seg

From playlist THE "WHAT IS" PLAYLIST

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Micrometer / diameter of daily used objects

What was the diameter? music: https://www.bensound.com/

From playlist Fine Measurements

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Displacement convexity for point processes and an application -Thomas Leblé

Analysis Seminar Topic: An application of displacement convexity at the level of point processes Speaker: Thomas Leblé Affiliation: Member, School of Mathematics Date: November 11, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

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Codina Cotar: Disorder relevance for non-convex random gradient Gibbs measures in d ≤ 2

HYBRID EVENT Recorded during the meeting " Probability/PDE Interactions: Interface Models and Particle Systems " the April 28, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by world

From playlist Probability and Statistics

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Matthias Liero: On entropy transport problems and the Hellinger Kantorovich distance

In this talk, we will present a general class of variational problems involving entropy-transport minimization with respect to a couple of given finite measures with possibly unequal total mass. These optimal entropy-transport problems can be regarded as a natural generalization of classic

From playlist HIM Lectures: Follow-up Workshop to JTP "Optimal Transportation"

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Math Explorations Ep18, Convex Hull Ratio (Mar 8, 2022)

This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web

From playlist Math 1015 (Mathematical Explorations) Spring 2022

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Matthew Kennedy: Noncommutative convexity

Talk by Matthew Kennedy in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on May 5, 2021

From playlist Global Noncommutative Geometry Seminar (Europe)

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Bo’az Klartag: On Yuansi Chen’s work on the KLS conjecture I

The Kannan-Lovasz-Simonovits (KLS) conjecture is concerned with the isoperimetric problem in high-dimensional convex bodies. The problem asks for the optimal way to partition a convex body into two pieces of equal volume so as to minimize their interface. The conjecture suggests that up to

From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability

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Bo'az Klartag - Convexity in High Dimensions I

October 28, 2022 This is the first talk in the Minerva Mini-course of Bo'az Klartag, Weizmann Institute of Science and Princeton's Fall 2022 Minerva Distinguished Visitor We will discuss recent progress in the understanding of the isoperimetric problem for high-dimensional convex sets, an

From playlist Minerva Mini Course - Bo'az Klartag

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Mokshay Madiman : Minicourse on information-theoretic geometry of metric measure

Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 28, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematician

From playlist Geometry

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Joe Neeman: rho convexity and Ehrhard's inequality

We say that a function of two real variables is rho-convex if its Hessian matrix, multiplied by rho on the off-diagonal, is positive semi-definite. This notion (and its generalization to functions of more than two variables) turns out to give simple proofs of various inequalities on Gaussi

From playlist HIM Lectures: Follow-up Workshop to JTP "Optimal Transportation"

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Math Explorations Ep19, Isoperimetric Quotient (Mar 9, 2022)

This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web

From playlist Math 1015 (Mathematical Explorations) Spring 2022

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Determine if a polygon is concave or convex ex 2

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

Related pages

Convex function | Linear map | Probability density function | Radon measure | Mathematics | Probability theory | Vector space | Euclidean space | Inner measure | Pushforward measure | Inner regular measure | Hausdorff space | Probability measure | Logarithmically concave measure