Geometric group theory | Combinatorics on words | Properties of groups | Metric geometry
In group theory, a word metric on a discrete group is a way to measure distance between any two elements of . As the name suggests, the word metric is a metric on , assigning to any two elements , of a distance that measures how efficiently their difference can be expressed as a word whose letters come from a generating set for the group. The word metric on G is very closely related to the Cayley graph of G: the word metric measures the length of the shortest path in the Cayley graph between two elements of G. A generating set for must first be chosen before a word metric on is specified. Different choices of a generating set will typically yield different word metrics. While this seems at first to be a weakness in the concept of the word metric, it can be exploited to prove theorems about geometric properties of groups, as is done in geometric group theory. (Wikipedia).
Metric Units of Measurement (2 of 3: Different prefixes and their respective positions)
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From playlist Applications of Measurement
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
Examples: Converting Between Metric Units
This video provides several examples of converting between different metric units of measure.
From playlist Unit Conversions: Metric Units
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Percentiles, Deciles, Quartiles
Understanding percentiles, quartiles, and deciles through definitions and examples
From playlist Unit 1: Descriptive Statistics
Introduction to Metric Conversions
This video explains how to perform metric conversions using unit fractions and a table. http://mathispower4u.com
From playlist Unit Conversions: Metric Units
Ex: Metric Conversions Using Unit Fractions - Length
This video provides three examples of how to perform metric conversions involving length using unit fractions. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Unit Conversions: Metric Units
What is a metre: from Fizzics.org
The international base unit of length, accepted as the world wide standard, but where did it come from, who decided and how exactly is it defined.
From playlist Units of measurement
Is Automated Topic Model Evaluation Broken?: The Incoherence of Coherence [Paper Read Out Loud]
http://umiacs.umd.edu/~jbg//docs/2021_neurips_incoherence.pdf
From playlist Papers Read Aloud
Ilaria Mondello : An Obata-Lichnerowicz theorem for stratified spaces
Abstract : In the first part of this talk we will show how classical tools of Riemannian geometry can be used in the setting of stratfied spaces in order to obtain a lower bound for the spectrum of the Laplacian, under an appropriate assumption of positive curvature. Such assumption involv
From playlist Topology
How to Report SEO Campaign Metrics | Matt Bailey | Simplilearn Webinar | Simplilearn
🔥Explore Our Free Courses With Completion Certificate by SkillUp: https://www.simplilearn.com/skillup-free-online-courses?utm_campaign=Skillup&utm_medium=DescriptionFirstFold&utm_source=youtube About the Webinar: Matt Bailey shares insights to help you make your SEO reports more effective
From playlist Market Motive Webinars | Duke | Simplilearn
Tensor Calculus 4b: Position Vector, Covariant Basis, Covariant Metric Tensor, Contravariant Basis
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
Simone Cecchini: A long neck principle for Riemannian spin manifolds with positive scalar curvature
Talk by Jonathan Rosenberg in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on September 30, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
Metrics on diffeomorphism groups in symplectic and contact geometry - Egor Shelukhin
Short Talks by Postdoctoral Members Egor Shelukhin - September 29, 2015 http://www.math.ias.edu/calendar/event/88294/1443557700/1443558600 More videos on http://video.ias.edu
From playlist Short Talks by Postdoctoral Members
The applications of non-euclidean distance | Metric Spaces
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From playlist Applied Math
Evaluating Open-Domain Dialog | Shikib Mehri
Presented by Shikib Mehri, PhD Student at Carnegie Mellon University.
From playlist Level 3 AI Assistant Conference 2020
Alice Chang - Sobolov trace inequalities
December 19, 2014 - Analysis, Spectra, and Number theory: A conference in honor of Peter Sarnak on his 61st birthday. In a series of joint papers in 1988-89, Osgood-Phillips-Sarnak identified the extremal metrics of the zeta functional determinant of the Laplacian operator on compact sur
From playlist Analysis, Spectra, and Number Theory - A Conference in Honor of Peter Sarnak on His 61st Birthday
More Standard Deviation and Variance
Further explanations and examples of standard deviation and variance
From playlist Unit 1: Descriptive Statistics