Measures (measure theory)

Decomposable measure

In mathematics, a decomposable measure (also known as a strictly localizable measure) is a measure that is a disjoint union of finite measures. This is a generalization of σ-finite measures, which are the same as those that are a disjoint union of countably many finite measures. There are several theorems in measure theory such as the Radon–Nikodym theorem that are not true for arbitrary measures but are true for σ-finite measures. Several such theorems remain true for the more general class of decomposable measures. This extra generality is not used much as most decomposable measures that occur in practice are σ-finite. (Wikipedia).

Video thumbnail

Statistics 4 Measures of Dispersion.mov

Discussing range, variance, and standard deviation as measures of dispersion.

From playlist Medical Statistics

Video thumbnail

Percentiles, Deciles, Quartiles

Understanding percentiles, quartiles, and deciles through definitions and examples

From playlist Unit 1: Descriptive Statistics

Video thumbnail

Vernier caliper / diameter and length of daily used objects.

subscribe to my channel: https://www.youtube.com/channel/UC7HtImwPgmb1axsTJE5lxeA?sub_confirmation=1

From playlist Fine Measurements

Video thumbnail

Introduction to Volume

This video provides a basic introduction to volume.

From playlist Volume and Surface Area (Geometry)

Video thumbnail

Introduction to Geometer's Sketchpad: Measurements

This video demonstrates some of the measurement and calculation features of Geometer's Sketchpad.

From playlist Geometer's Sketchpad

Video thumbnail

Lecture06 Standard Deviation

The dispersion of data by means of the standard deviation.

From playlist Medical Statistics

Video thumbnail

Micrometer/diameter of daily used objects.

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

From playlist Fine Measurements

Video thumbnail

Decomposing angles | Math | 4th grade | Khan Academy

Keep going! Check out the next lesson and practice what you’re learning: https://www.khanacademy.org/math/cc-fourth-grade-math/imp-geometry-2/imp-decomposing-angles/e/decomposing-angles Lindsay finds the measure of angle using addition. Practice this yourself on Khan Academy right now: h

From playlist 7th Grade | Get Ready for Grade Level | Khan Academy

Video thumbnail

On Ratner's Theorem by M. S. Raghunathan

PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis

From playlist Ergodic Theory and Dynamical Systems 2022

Video thumbnail

Quantitative decompositions of Lipschitz mappings - Guy C. David

Analysis Seminar Topic: Quantitative decompositions of Lipschitz mappings Speaker: Guy C. David Affiliation: Ball State University Date: May 12, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Physics - Thermodynamics 2: Ch 32.1 Def. and Terms (9 of 23) What is the Gas Constant?

Visit http://ilectureonline.com for more math and science lectures! In this video I will give and explain what is the gas constant and how it was determined. Next video in this series can be seen at: https://youtu.be/8N8TN0L5xiQ

From playlist PHYSICS 32.1 THERMODYNAMICS 2 BASIC TERMS

Video thumbnail

Macdonald processes I - Alexei Borodin

Alexei Borodin Massachussetts Institute of Technology October 8, 2013 Our goal is to explain how certain basic representation theoretic ideas and constructions encapsulated in the form of Macdonald processes lead to nontrivial asymptotic results in various `integrable'; probabilistic probl

From playlist Mathematics

Video thumbnail

Roland Bauerschmidt - The Renormalisation Group - a Mathematical Perspective (1/4)

In physics, the renormalisation group provides a powerful point of view to understand random systems with strong correlations. Despite advances in a number of particular problems, in general its mathematical justification remains a holy grail. I will give an introduction to the main concep

From playlist Roland Bauerschmidt - The Renormalisation Group - a Mathematical Perspective

Video thumbnail

Edexcel iGCSE Biology | Topic 4 Ecology and Environment | Quick fire Questions

I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Even if you don't want to study science or maths further, the grades you get now will open doors in the future. Get exam ready for GCSE Maths https://primrosekitt

From playlist Edexcel iGCSE Biology Revision

Video thumbnail

(PP 1.4) Measure theory: Examples of Measures

Some examples of probability measures. A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4 You can skip the measure theory (Section 1) if you're not interested in the rigorous underpinnings. If you choose to do th

From playlist Probability Theory

Video thumbnail

Colin Guillarmou: Segal axioms and resolution of Liouville conformal field theory

HYBRID EVENT Liouville conformal field theory is a 2 dimensional field theory introduced in physics in the 80's. Here we give a probabilistic construction of the amplitudes of Riemann surfaces with boundary for this field theory, and we prove that they satisfy the so called Segal Axioms. T

From playlist Probability and Statistics

Video thumbnail

Killian Meehan (7/6/2020): Comparative Stability of Two Zigzag Bottleneck Distances

Title: Comparative Stability of Two Zigzag Bottleneck Distances Abstract: Zigzag persistence is a natural extension of 1D persistence that sees use in applications and is sometimes viewed as an indirect approach towards multidimensional persistence. There are bottleneck distances for zigz

From playlist ATMCS/AATRN 2020

Video thumbnail

How To Calculate Quartiles, Deciles, and Percentiles In Excel

This video tutorial explains how to calculate quartiles, deciles, and percentiles in excel.

From playlist Excel Tutorial

Video thumbnail

Macdonald processes II - Alexei Borodin

Alexei Borodin Massachussetts Institute of Technology October 9, 2013 Our goal is to explain how certain basic representation theoretic ideas and constructions encapsulated in the form of Macdonald processes lead to nontrivial asymptotic results in various `integrable'; probabilistic probl

From playlist Mathematics

Related pages

Σ-finite measure | Measure (mathematics) | Fubini's theorem | Counting measure | Finite measure | Radon–Nikodym theorem | Disjoint union