Generative metrics is the collective term for three distinct theories of verse structure (focusing on the English iambic pentameter) advanced between 1966 and 1977. Inspired largely by the example of Noam Chomsky's Syntactic Structures (1957) and Chomsky and Morris Halle's The Sound Pattern of English (1968), these theories aim principally at the formulation of explicit linguistic rules that will generate all possible well-formed instances of a given meter (e.g. iambic pentameter) and exclude any that are not well-formed. T.V.F. Brogan notes that of the three theories, "[a]ll three have undergone major revision, so that each exists in two versions, the revised version being preferable to the original in every case." (Wikipedia).
Percentiles, Deciles, Quartiles
Understanding percentiles, quartiles, and deciles through definitions and examples
From playlist Unit 1: Descriptive Statistics
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
More Standard Deviation and Variance
Further explanations and examples of standard deviation and variance
From playlist Unit 1: Descriptive Statistics
Dimensions (1 of 3: The Traditional Definition - Directions)
More resources available at www.misterwootube.com
From playlist Exploring Mathematics: Fractals
Scales of Measurement - Nominal, Ordinal, Interval, & Ratio Scale Data
This statistics video tutorial provides a basic introduction into the different forms of scales of measurement such as nominal, ordinal, interval, and ratio scale data. My Website: https://www.video-tutor.net Patreon Donations: https://www.patreon.com/MathScienceTutor Amazon Store: htt
From playlist Statistics
VARIABLES in Statistical Research (2-1)
A variable is any characteristic that can vary. An organized collection of numbers can be a variable. Qualitative variables indicate an attribute or belongingness to a category. Dichotomous variables are discrete variables that can have two and only two values. Quantitative variables indic
From playlist Forming Variables for Statistics & Statistical Software (WK 2 - QBA 237)
Stanislav Nagy: Quantiles, depth, and symmetries: Geometry in multivariate statistics
There are tools of multivariate statistics with natural counterparts in geometry. We examine these connections and outline the amount of research that has been conducted in parallel in the two fields. Advances from geometry allow us to approach problems in multivariate statistics that were
From playlist Workshop: High dimensional measures: geometric and probabilistic aspects
Set Distribution Networks: a Generative Model for Sets of Images (Paper Explained)
We've become very good at making generative models for images and classes of images, but not yet of sets of images, especially when the number of sets is unknown and can contain sets that have never been encountered during training. This paper builds a probabilistic framework and a practic
From playlist Papers Explained
David Meyer (1/30/18): Some algebraic stability theorems for generalized persistence modules
From an algebraic point of view, generalized persistence modules can be interpreted as finitely-generated modules for a poset algebra. We prove an algebraic analogue of the isometry theorem of Bauer and Lesnick for a large class of posets. This theorem shows that for such posets, the int
From playlist AATRN 2018
Degenerations and moduli spaces in Kähler geometry – Song Sun – ICM2018
Geometry Invited Lecture 5.10 Degenerations and moduli spaces in Kähler geometry Song Sun Abstract: We report some recent progress on studying degenerations and moduli spaces of canonical metrics in Kähler geometry, and the connection with algebraic geometry, with a particular emphasis o
From playlist Geometry
Some recent developments in Kähler geometry and exceptional holonomy – Simon Donaldson – ICM2018
Plenary Lecture 1 Some recent developments in Kähler geometry and exceptional holonomy Simon Donaldson Abstract: This article is a broad-brush survey of two areas in differential geometry. While these two areas are not usually put side-by-side in this way, there are several reasons for d
From playlist Plenary Lectures
Topology 1.6 : Metric Topology
In this video, I introduce the metric topology, and introduce how the topologies it generates align with the standard topologies on Euclidean space. Email : fematikaqna@gmail.com Subreddit : https://www.reddit.com/r/fematika Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Topology
Bernhard Hanke - Surgery, bordism and scalar curvature
One of the most influential results in scalar curvature geometry, due to Gromov-Lawson and Schoen-Yau, is the construction of metrics with positive scalar curvature by surgery. Combined with powerful tools from geometric topology, this has strong implications for the classification of suc
From playlist Not Only Scalar Curvature Seminar
Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri (L1) by Sunil Mukhi
Seminar Lecture Series - Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri Speaker: Sunil Mukhi (IISER Pune) Date : Mon, 20 March 2023 to Fri, 21 April 2023 Venue: Online (Zoom & Youtube) ICTS is pleased to announce special lecture series by Prof. Sunil Mukh
From playlist Lecture Series- Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri -2023
David Rosenthal - Finitely F-amenable actions and decomposition complexity of groups
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 David Rosenthal, St. John's University Title: Finitely F-amenable actions and decomposition complexity of groups Abstract: In their groundbreaking work on the Farrell-Jones Conjecture for Gromov hyperbolic groups, Bartels
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
16/11/2015 - Jean-Pierre Bourguignon - General Relativity and Geometry
https://philippelefloch.files.wordpress.com/2015/11/2015-ihp-jpbourguignon.pdf Abstract. Physics and Geometry have a long history in common, but the Theory of General Relativity, and theories it triggered, have been a great source of challenges and inspiration for geometers. It started eve
From playlist 2015-T3 - Mathematical general relativity - CEB Trimester
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