Measures (measure theory) | Metric geometry

Metric outer measure

In mathematics, a metric outer measure is an outer measure μ defined on the subsets of a given metric space (X, d) such that for every pair of positively separated subsets A and B of X. (Wikipedia).

Video thumbnail

Micrometer/diameter of daily used objects.

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

From playlist Fine Measurements

Video thumbnail

Micrometer / diameter of daily used objects

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

From playlist Fine Measurements

Video thumbnail

Using Dimensional Analysis to Find the Units of a Constant

This video shows you how to use dimensional analysis to find the units for constants in physics and chemistry equations. For example, why are the units for the gravitational constant (G) newtons, meters squared over kilograms squared. Dimensional analysis in physics is an important tool t

From playlist Metric Units

Video thumbnail

Outer measures - Part 1 (Measure Theory Part 20)

Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.

From playlist Measure Theory

Video thumbnail

Metric Units of Measurement (1 of 3: Overview of various metric units)

More resources available at www.misterwootube.com

From playlist Applications of Measurement

Video thumbnail

Metric Unit Conversion

This video explains how to convert to different metric units of measure for length, capacity, and mass. http://mathispower4u.wordpress.com/

From playlist Unit Conversions: Metric Units

Video thumbnail

Outer measures - Part 2: Examples (Measure Theory Part 21)

Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.

From playlist Measure Theory

Video thumbnail

Outer measures - Part 3: Proof (Measure Theory Part 22)

Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.

From playlist Measure Theory

Video thumbnail

Ahlfors-Bers 2014 "Teichmüller theory in Outer space"

Mladen Bestvina (University of Utah): I will survey recent progress on the geometry of Outer space, and compare similarities and differences with Teichmüller space.

From playlist The Ahlfors-Bers Colloquium 2014 at Yale

Video thumbnail

Karen Vogtmann: The geometry and topology of automorphism groups of free groups

HYBRID EVENT Recorded during the meeting "Groups Acting on Fractals" the April 11, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Ma

From playlist Topology

Video thumbnail

Camille Horbez: Growth under random products of automorphisms of a free group

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebra

Video thumbnail

R. Ghezzi - Volume measures in non equiregular sub-Riemannian manifolds

In this talk we study the Hausdorff volume in a non equiregular sub-Riemannian manifold and we compare it to a smooth volume. First we give the Lebesgue decomposition of the Hausdorff volume. Then we focus on the regular part, show that it is not commensurable with a smooth volume and give

From playlist Journées Sous-Riemanniennes 2017

Video thumbnail

Self-force and radiation reaction in general relativity by Adam Pound ( Lecture 4 )

PROGRAM SUMMER SCHOOL ON GRAVITATIONAL WAVE ASTRONOMY ORGANIZERS : Parameswaran Ajith, K. G. Arun and Bala R. Iyer DATE : 15 July 2019 to 26 July 2019 VENUE : Madhava Lecture Hall, ICTS Bangalore This school is part of the annual ICTS summer schools on gravitational-wave (GW) astronomy.

From playlist Summer School on Gravitational Wave Astronomy -2019

Video thumbnail

Camille Horbez: Automorphisms of hyperbolic groups and growth

Abstract: Let G be a torsion-free hyperbolic group, let S be a finite generating set of G, and let f be an automorphism of G. We want to understand the possible growth types for the word length of fn(g), where g is an element of G. Growth was completely described by Thurston when G is the

From playlist Topology

Video thumbnail

Measures of Spread Overview

Introduction to standard deviation, IQR [Inter-Quartile Range], and range

From playlist Unit 1: Descriptive Statistics

Video thumbnail

GPDE Workshop - External doubly stochastic measures and optimal transportation

Robert McCann University of Toronto February 23, 2009 For more videos, visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Measure Theory 2.1 : Lebesgue Outer Measure

In this video, I introduce the Lebesgue outer measure, and prove that it is, in fact, an outer measure. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet

From playlist Measure Theory

Related pages

Subset | Outer measure | Metric space | Power set | Dimension function | Mathematics | Carathéodory's extension theorem | Hausdorff measure | Limit of a function | Packing measure | Closed set