Descriptive set theory | Mathematical logic hierarchies
In the mathematical field of descriptive set theory, a subset of a Polish space is projective if it is for some positive integer . Here is * if is analytic * if the complement of , , is * if there is a Polish space and a subset such that is the projection of ; that is, The choice of the Polish space in the third clause above is not very important; it could be replaced in the definition by a fixed uncountable Polish space, say Baire space or Cantor space or the real line. (Wikipedia).
Introduction to Projective Geometry (Part 1)
The first video in a series on projective geometry. We discuss the motivation for studying projective planes, and list the axioms of affine planes.
From playlist Introduction to Projective Geometry
algebraic geometry 15 Projective space
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It introduces projective space and describes the synthetic and analytic approaches to projective geometry
From playlist Algebraic geometry I: Varieties
Algebraic structure on the Euclidean projective line | Rational Geometry Math Foundations 137
In this video we look at some pleasant consequences of imposing a Euclidean structure on the projective line. We give a proof of the fundamental projective Triple quad formula, talk about the equal p-quadrances theorem, and see how the logistic map of chaos theory makes its appearance as t
From playlist Math Foundations
Projective geometry | Math History | NJ Wildberger
Projective geometry began with the work of Pappus, but was developed primarily by Desargues, with an important contribution by Pascal. Projective geometry is the geometry of the straightedge, and it is the simplest and most fundamental geometry. We describe the important insights of the 19
From playlist MathHistory: A course in the History of Mathematics
BAG2.1. Projective Toric Varieties - Part 1
Basic Algebraic Geometry: We define complex projective space, projective varieties, and projective toric varieties. For PTVs, we identify the character lattice and lattice of one-parameter subgroups.
From playlist Basic Algebraic Geometry
Introduction to Projective Geometry (Part 2)
The second video in a series about projective geometry. We list the axioms for projective planes, give an examle of a projective plane with finitely many points, and define the real projective plane.
From playlist Introduction to Projective Geometry
The circle and projective homogeneous coordinates (cont.) | Universal Hyperbolic Geometry 7b
Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine
From playlist Universal Hyperbolic Geometry
The projective Quadruple quad formula | Rational Geometry Math Foundations 148 | NJ Wildberger
In this video we introduce the projective version of the Quadruple quad formula, which not only controls the relationship between four projective points, but has a surprising connection with the geometry of the cyclic quadrilateral. The projective quadruple quad function is called R(a,b,
From playlist Math Foundations
Isometry groups of the projective line (I) | Rational Geometry Math Foundations 138 | NJ Wildberger
The projective line can be given a Euclidean structure, just as the affine line can, but it is a bit more complicated. The algebraic structure of this projective line supports some symmetries. Symmetry in mathematics is often most efficiently encoded with the idea of a group--a technical t
From playlist Math Foundations
Projects in Google Cloud Platform | GCP Project Structure | Google Cloud Platform Training | Edureka
๐ฅ Edureka Google Cloud Certification training (Use Code: YOUTUBE20) : http://www.edureka.co/google-cloud-architect-certification-training This Edureka video on 'Projects in Google Cloud Platform' will give you an overview of Projects in Google Cloud Platform and will help you understand v
From playlist Google Cloud Platform Tutorials | Edureka
An average-case depth hierarchy theorem for Boolean - Li-Yang Tan
Computer Science/Discrete Mathematics Seminar I Topic: An average-case depth hierarchy theorem for Boolean circuits I Speaker: Li-Yang Tan Affiliation: Toyota Technological Institute, Chicago Date: Monday, April 4 We prove an average-case depth hierarchy theorem for Boolean circuits
From playlist Mathematics
Projects in Google Cloud Platform | GCP Project Structure | Edureka | GCP Rewind - 2
๐ฅ ๐๐๐ฎ๐ซ๐๐ค๐ ๐๐จ๐จ๐ ๐ฅ๐ ๐๐ฅ๐จ๐ฎ๐ ๐๐๐ซ๐ญ๐ข๐๐ข๐๐๐ญ๐ข๐จ๐ง ๐ญ๐ซ๐๐ข๐ง๐ข๐ง๐ (Use code "๐๐๐๐๐๐๐๐๐") : https://www.edureka.co/google-cloud-architect-certification-training This Edureka video on 'Projects in Google Cloud Platform' will give you an overview of Projects in Google Cloud Platform and will help you understand
From playlist Google Cloud Platform Tutorials | Edureka
Complete Virtual Reality Course For Beginners In VR development | Session 01 | #C | #programming
Donโt forget to subscribe! This is a Complete Virtual Reality Course for Beginners In VR development. In this course, we are using C# and the Unity game engine. This course has already been taught to professional software developers new to VR development. This video series provides a mec
From playlist Virtual Reality Course For Beginners
CERIAS Security: Administrative Scope and Role-Based Administration 2/6
Clip 2/6 Speaker: Jason Crampton ยท Royal Holloway, University of London Role-based access control (RBAC) has received considerable attention in recent years, resulting in several important theoretical models and increasing use in commercial products. Nevertheless, role-based administr
From playlist The CERIAS Security Seminars 2004
IMT4889 - Decentralisation Technology, Lecture 4.
IMT4889 - Decentralisation Technology Lecture 4 Peer to peer, networking stack, intro to libp2p.
From playlist Decentralisation
Jamie Haddock: "Scaling the Hierarchical Topic Modeling Mountain: Neural NMF and Iterative Proje..."
Deep Learning and Medical Applications 2020 "Scaling the Hierarchical Topic Modeling Mountain: Neural NMF and Iterative Projection Methods" Jamie Haddock - University of California, Los Angeles (UCLA), Mathematics Abstract: Datasets with hierarchical structure arise in a wide variety of
From playlist Deep Learning and Medical Applications 2020
Petr Zograf - Enumeration of Grothendieck's dessins and KP hierarchy
Branched covers of the complex projective line ramified over 0,1 and infinity (Grothendieck's dessins d'enfant) of fixed genus and degree are effectively enumerated. More precisely, branched covers of a given ramification profile over infinity and given numbers of preimages
From playlist ยญยญยญยญPhysique mathรฉmatique des nombres de Hurwitz pour dรฉbutants
COMP1400 - Week 1, Lecture 2
From playlist Programming for Designers - COMP1400-T2 (2010)
The circle and projective homogeneous coordinates | Universal Hyperbolic Geometry 7a | NJ Wildberger
Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine
From playlist Universal Hyperbolic Geometry
Hierarchy Hyperbolic Spaces (Lecture - 3) by Jason Behrstock
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017