Properties of topological spaces
In mathematics, an extremally disconnected space is a topological space in which the closure of every open set is open. (The term "extremally disconnected" is correct, even though the word "extremally" does not appear in most dictionaries, and is sometimes mistaken by spellcheckers for the homophone extremely disconnected.) An extremally disconnected space that is also compact and Hausdorff is sometimes called a Stonean space. This is not the same as a Stone space, which is a totally disconnected compact Hausdorff space. Every Stonean space is a Stone space, but not vice versa. In the duality between Stone spaces and Boolean algebras, the Stonean spaces correspond to the complete Boolean algebras. An extremally disconnected first-countable collectionwise Hausdorff space must be discrete. In particular, for metric spaces, the property of being extremally disconnected (the closure of every open set is open) is equivalent to the property of being discrete (every set is open). (Wikipedia).
Ex 1: Absolute Extrema on an Closed Interval
This video provides an example of how to determine absolute extrema of a function on an closed interval. Complete video library at www.mathispower4u.com
From playlist Differentiation Application - Absolute Extrema
Ex 2: Absolute Extrema on an Open Interval
This video provides an example of how to determine absolute extrema of a function on an open interval. Complete video library at www.mathispower4u.com
From playlist Differentiation Application - Absolute Extrema
Find the Minimum Distance Between a Cone and a Point
This video explains how to determine the points on a cone closest to a point not on the cone and the minimum distance between the point and cone. http://mathispower4u.com
From playlist Relative Extrema and Applications to Functions of Two Variables
What are parallel lines and a transversal
👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
Applications of Extrema of Functions of Two Variables I
This is an example of applications of extrema of functions of two variables. http://mathispower4u.yolasite.com/
From playlist Functions of Several Variables - Calculus
What are the Angle Relationships for Parallel Lines and a Transversal
👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
Absolute and Relative Extrema From a Graph Explained Intuitively
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Finding Absolute and Relative Extrema From a Graph Explained Intuively. Understanding the difference between relative maximum's and minimum's and absolute maximum's and minimum's.
From playlist Calculus
Ex: Find the Intervals Incr/Decr and Relative Extrema Using the First Derivative
This video explains how to use the first derivative to determine intervals for which a function is increasing or decreasing. The relative (local) extrema are also found. http://mathispower4u.com
From playlist Applications of Differentiation – Relative Extrema
A modern take on the information paradox.... (Lecture - 03) by Ahmed Almheiri
INFOSYS-ICTS STRING THEORY LECTURES A MODERN TAKE ON THE INFORMATION PARADOX AND PROGRESS TOWARDS ITS RESOLUTION SPEAKER: Ahmed Almheiri (Institute for Advanced Study, Princeton) DATE: 30 September 2019 to 03 October 2019 VENUE: Emmy Noether Seminar Room, ICTS Bangalore Lecture 1: Mond
From playlist Infosys-ICTS String Theory Lectures
Alessio FIGALLI - The singular set in the Stefan problem
https://ams-ems-smf2022.inviteo.fr/i
From playlist International Meeting 2022 AMS-EMS-SMF
Dustin Clausen: New foundations for functional analysis
Talk by Dustin Clausen in Global Noncommutative Geometry Seminar (Americas) on November 12, 2021.
From playlist Global Noncommutative Geometry Seminar (Americas)
Stefaan Vaes, Superrigidity for dense subgroups of Lie groups and their actions on homogeneous space
Noncommutative Geometry Seminar (Europe), Oct. 6, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Chi-Keung Ng: Ortho-sets and Gelfand spectra
Talk by Chi-Keung Ng in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on June 9, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Peter Scholze - Liquid vector spaces
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ (joint with Dustin Clausen) Based on the condensed formalism, we propose new foundations for real functional analysis, replacing complete locally convex vector spaces with a vari
From playlist Toposes online
Extremal Combinatorics with Po-Shen Loh 04/03 Fri
Carnegie Mellon University is protecting the community from the COVID-19 pandemic by running courses online for the Spring 2020 semester. This is the video stream for Po-Shen Loh’s PhD-level course 21-738 Extremal Combinatorics. Professor Loh will not be able to respond to questions or com
From playlist CMU PhD-Level Course 21-738 Extremal Combinatorics
RedDotRuby 2014 - Domain Driven Design & NoSQL by Lucas Dohmen
Domain Driven Design is a software development process that focuses on the finding a common language for the involved parties. This language and the resulting models are taken from the domain rather than the technical details of the implementation. The goal is to improve the communication
From playlist RedDotRuby 2014
Alexander Vilenkin - Are There Multiple Universes?
Multiple universes? The idea sounds astounding. Our universe is immense by itself. How could there be more than one? How can scientists come to believe in more than one universe? What's more, multiple universes can be generated by radically different mechanisms. But what's a 'universe' any
From playlist Exploring the Multiverse - Closer To Truth - Core Topic
Peter Scholze: The pro-etale site
Abstract: We explain our joint work with Bhargav Bhatt, whose goal is to simplify the foundations of ell-adic cohomology by introducing a new site, called the pro-etale site, in which the naive definition of ell-adic sheaves and the six functors is the correct one. The lecture was held wi
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
Absolute Extrema of Functions of Two Variables
http://mathispower4u.wordpress.com/
From playlist Functions of Several Variables - Calculus