In mathematics, a full subcategory A of a category B is said to be reflective in B when the inclusion functor from A to B has a left adjoint. This adjoint is sometimes called a reflector, or localization. Dually, A is said to be coreflective in B when the inclusion functor has a right adjoint. Informally, a reflector acts as a kind of completion operation. It adds in any "missing" pieces of the structure in such a way that reflecting it again has no further effect. (Wikipedia).
Mean v Median and the implications
Differences between the mean and median suggest the presence of outliers and/or the possible shape of a distribution
From playlist Unit 1: Descriptive Statistics
Percentiles, Deciles, Quartiles
Understanding percentiles, quartiles, and deciles through definitions and examples
From playlist Unit 1: Descriptive Statistics
Trigonometry 5 The Cosine Relationship
A geometrical explanation of the law of cosines.
From playlist Trigonometry
Kazuo Murota: Extensions and Ramifications of Discrete Convexity Concepts
Submodular functions are widely recognized as a discrete analogue of convex functions. This convexity view of submodularity was established in the early 1980's by the fundamental works of A. Frank, S. Fujishige and L. Lovasz. Discrete convex analysis extends this view to broader classes of
From playlist HIM Lectures 2015
The unit circle plays a key role in understanding how circles and triangles are connected, as well as providing a simple way to introduce the basic trigonometric functions (sine, cosine and tangent). This video describes the unit circle very carefully with the goals of providing basic insi
From playlist Trigonometry
The affine Hecke category is a monoidal colimit - James Tao
Geometric and Modular Representation Theory Seminar Topic: The affine Hecke category is a monoidal colimit Speaker: James Tao Affiliation: Massachusetts Institute of Technology Date: February 24, 2021 For more video please visit http://video.ias.edu
From playlist Seminar on Geometric and Modular Representation Theory
Charles Rezk - 4/4 Higher Topos Theory
Course at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/RezkNotesToposesOnlinePart4.pdf In this series of lectures I will give an introduction to the concept of "infinity
From playlist Toposes online
From playlist Trigonometry TikToks
A Hecke action on the principal block of a semisimple algebraic group - Simon Riche
Workshop on Representation Theory and Geometry Topic: A Hecke action on the principal block of a semisimple algebraic group Speaker: Simon Riche Affiliation: Université Paris 6; Member, School of Mathematics Date: April 01, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
The metaverse explained in 14 minutes | Matthew Ball
Why should anyone care about the metaverse? Expert Matthew Ball explains what it is, what it isn’t, and why it matters. Subscribe to Big Think on YouTube ► https://www.youtube.com/channel/UCvQECJukTDE2i6aCoMnS-Vg?sub_confirmation=1 Up Next ► Why virtual reality is necessary on a planet of
From playlist Great Question | Big Think
Light and Optics 8_5 The Diffraction Grating
The diffraction grating.
From playlist Physics - Light and Optics
Greg Stevenson: Tensor triangular geometry - Lecture 2
Tensor triangular geometry asks us to think of symmetric monoidal triangulated categories like rings, and in return provides us with an analogue of affine algebraic geometry. With this analogy in mind I'll introduce the general theory: starting with an essentially small symmetric monoidal
From playlist Summer School: Spectral methods in algebra, geometry, and topology
Cybersecurity Frameworks | NIST Cybersecurity Framework | Cybersecurity Certification | Edureka
🔵Edureka Cyber Security Masters Program: https://bit.ly/3pfHHIN 🔥Edureka CompTIA Security+ Certification Training: https://bit.ly/3nxeVRl This Edureka video on "Cybersecurity Frameworks" will help you understand why and how the organizations are using cybersecurity framework to Identify, P
From playlist Cyber Security Training for Beginners | Edureka
Geordie Williamson: Langlands and Bezrukavnikov II Lecture 20
SMRI Seminar Series: 'Langlands correspondence and Bezrukavnikov’s equivalence' Geordie Williamson (University of Sydney) Abstract: The second part of the course focuses on affine Hecke algebras and their categorifications. Last year I discussed the local Langlands correspondence in bro
From playlist Geordie Williamson: Langlands correspondence and Bezrukavnikov’s equivalence
Reciprocal Identities in Trigonometry (Precalculus - Trigonometry 9)
How the reciprocal identities in trigonometry work and how to use them. The major focus will be on connecting the ideas of a Unit circle with Right Triangle Trigonometry. Support: https://www.patreon.com/ProfessorLeonard
From playlist Precalculus - College Algebra/Trigonometry
M-Cellular Approximations (Lecture-3) by Srikanth Iyengar
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
Jason Parker - Covariant Isotropy of Grothendieck Toposes
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/ParkerSlidesToposesOnline.pdf Covariant isotropy can be regarded as providing an abstract notion of conjugation or i
From playlist Toposes online
Defining Microservices | SHORTS
What are microservices? What is microservice architecture for and why are they more complex than they look on the surface? In this #shorts episode, Dave Farley give his definition of microservices. For a fuller exploration of Microservices, see Dave's video "The Problem with Microservices
From playlist Microservices