A measure space is a basic object of measure theory, a branch of mathematics that studies generalized notions of volumes. It contains an underlying set, the subsets of this set that are feasible for measuring (the σ-algebra) and the method that is used for measuring (the measure). One important example of a measure space is a probability space. A measurable space consists of the first two components without a specific measure. (Wikipedia).
Metric Units of Measurement (1 of 3: Overview of various metric units)
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From playlist Applications of Measurement
What exactly is space? Brian Greene explains what the "stuff" around us is. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https:
From playlist Science Unplugged: Physics
Distance, Area and Volume (Explained) - Geometry
http://www.youtube.com/vinteachesmath This video focuses on the difference between distance, area, and volume. In particular, the units of measurement used to measure distance, area, and volume are explained in this video. This video is appropriate for a student taking a course in Geome
From playlist Geometry
How Do You Measure the Size of the Universe?
Tweet at us! @pbsspacetime Facebook: facebook.com/pbsspacetime Email us! pbsspacetime [at] gmail [dot] com Support us on Patreon! http://www.patreon.com/pbsspacetime Help translate our videos! http://www.youtube.com/timedtext_cs_panel?tab=2&c=UC7_gcs09iThXybpVgjHZ_7g The universe is HUGE
From playlist Space Time!
What is a metric space? An example
This is a basic introduction to the idea of a metric space. I introduce the idea of a metric and a metric space framed within the context of R^n. I show that a particular distance function satisfies the conditions of being a metric.
From playlist Mathematical analysis and applications
Dimensions (1 of 3: The Traditional Definition - Directions)
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From playlist Exploring Mathematics: Fractals
This video provides a basic introduction to volume.
From playlist Volume and Surface Area (Geometry)
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From playlist Science Unplugged: Special Relativity
Measure Theory 1.1 : Definition and Introduction
In this video, I discuss the intuition behind measures, and the definition of a general measure. I also introduce the Lebesgue Measure, without proving that it is indeed a measure. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
Ohad Kammar: An introduction to statistical modelling semantics with higher-order measure theory
HYBRID EVENT Recorded during the meeting "Logic of Probabilistic Programming" February 04, 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 Audiov
From playlist Probability and Statistics
Samplings and Observables. Limits of measured metric spaces - Gabor Elek
Conference on Graphs and Analysis Gabor Elek June 4, 2012 More videos on http://video.ias.edu
From playlist Mathematics
Uri Bader - 1/4 Algebraic Representations of Ergodic Actions
Ergodic Theory is a powerful tool in the study of linear groups. When trying to crystallize its role, emerges the theory of AREAs, that is Algebraic Representations of Ergodic Actions, which provides a categorical framework for various previously studied concepts and methods. Roughly, this
From playlist Uri Bader - Algebraic Representations of Ergodic Actions
Antonio Lerario: Random algebraic geometry - Lecture 1
CONFERENCE Recording during the thematic meeting : "Real Algebraic Geometry" the October 24, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mat
From playlist Algebraic and Complex Geometry
Colloquium MathAlp 2016 - Michel Ledoux
Isopérimétrie dans les espaces métriques mesurés Le problème isopérimétrique (à volume donné, minimiser la mesure de bord, et déterminer les ensembles extrémaux), remonte aux temps les plus anciens. Tout à la fois, il peut se formuler de façon générale dans un espace métrique mesuré, et d
From playlist Colloquiums MathAlp
A. Mondino - Metric measure spaces satisfying Ricci curvature lower bounds 1
The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds goes back to Gromov in the '80ies and was pushed by Cheeger-Colding in the ‘90ies, who investigated the structure of spaces arising as Gromov-Hausdorff limits of smooth Riemannian manifolds
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
A. Mondino - Metric measure spaces satisfying Ricci curvature lower bounds 1 (version temporaire)
The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds goes back to Gromov in the '80ies and was pushed by Cheeger-Colding in the ‘90ies, who investigated the structure of spaces arising as Gromov-Hausdorff limits of smooth Riemannian manifolds
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Giovanni Peccati: Some applications of variational techniques in stochastic geometry I
Some variance estimates on the Poisson space, Part I I will introduce some basic tools of stochastic analysis on the Poisson space, and describe how they can be used to develop variational inequalities for assessing the magnitude of variances of geometric quantities. Particular attention
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
This video provides a basic introduction to area.
From playlist Perimeter and Area
The Poisson boundary: a qualitative theory (Lecture 2) by Vadim Kaimanovich
Program Probabilistic Methods in Negative Curvature ORGANIZERS: Riddhipratim Basu, Anish Ghosh and Mahan Mj DATE: 11 March 2019 to 22 March 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore The focal area of the program lies at the juncture of three areas: Probability theory o
From playlist Probabilistic Methods in Negative Curvature - 2019