In general topology, a subset of a topological space is said to be dense-in-itself or crowdedif has no isolated point.Equivalently, is dense-in-itself if every point of is a limit point of .Thus is dense-in-itself if and only if , where is the derived set of . A dense-in-itself closed set is called a perfect set. (In other words, a perfect set is a closed set without isolated point.) The notion of dense set is unrelated to dense-in-itself. This can sometimes be confusing, as "X is dense in X" (always true) is not the same as "X is dense-in-itself" (no isolated point). (Wikipedia).
Physical Science 3.4b - Density
Density. The definition of density, the equation for density, and some numerical examples.
From playlist Physical Science Chapter 3 (Complete chapter)
Learn more about density! http://www.flippingphysics.com/density.html
From playlist Vertical Videos
Making YOU the Scientist: Density of Liquids
This a fun experiment that can be done in almost any setting: in the classroom, during home schooling, as an online learning demonstration or just a fun thing to do with the kids on the weekend. Everything you need you probably have around the house or you can get it with a quick trip to t
From playlist Making You the Scientist
In this video, the Flipping Physics team discusses the concept of mass and density by comparing the mass and density of steel and wood. The team first addresses the misconception that steel is always more massive than wood, explaining that the mass of an object cannot be determined without
From playlist Fluids
Math 101 Fall 2017 112917 Introduction to Compact Sets
Definition of an open cover. Definition of a compact set (in the real numbers). Examples and non-examples. Properties of compact sets: compact sets are bounded. Compact sets are closed. Closed subsets of compact sets are compact. Infinite subsets of compact sets have accumulation poi
From playlist Course 6: Introduction to Analysis (Fall 2017)
What is Density? | Gravitation | Physics | Don't Memorise
Understanding the concept of Density is very important in order to understand Physics. Watch this video to fully grasp the idea of density. To get access to the entire course based on Gravitation, enroll here: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&u
From playlist Physics
Learn about density with Mr. Wizard. Subscribe now for more science, nature and technology clips from the 1980's Nickelodeon show, Mr. Wizard's World, every week on #WizardWednesdays. SUBSCRIBE HERE: http://bit.ly/mrwizard
From playlist How It Works
A quick definition of density. Chem Fairy: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation: https://www.paypal.
From playlist Chemistry glossary
From playlist h. Three-Dimensional Measurement
Math Mornings: Chaos on the Circle, by Taylor McAdam
Rotate a circle by a fixed angle, then repeat again and again. Where will a single point travel? Will it come back to where it started and how does the answer depend on the rotation angle? Rotations and other transformations of the circle teach us a lot about many processes like planets
From playlist Math Mornings at Yale
How Can We Be So Dense? The Benefits of Using Highly Sparse Representations | AISC
For slides and more information on the paper, visit https://aisc.ai.science/events/2019-12-04 Discussion lead: Subutai Ahmad
From playlist Math and Foundations
Synthesizer: Rethinking Self-Attention in Transformer Models (Paper Explained)
Do we really need dot-product attention? The attention mechanism is a central part of modern Transformers, mainly due to the dot-product attention mechanism. This paper changes the mechanism to remove the quadratic interaction terms and comes up with a new model, the Synthesizer. As it tur
From playlist Papers Explained
Timothy Gowers: The afterlife of Szemerédi's theorem
Abstract: Szemerédi's theorem asserts that every set of integers of positive upper density contains arbitrarily long arithmetic progressions. This result has been extraordinarily influential, partly because of the tools that Szemerédi introduced in order to prove it, and partly because sub
From playlist Abel Lectures
Group Actions and Power Maps by C. R. E. Raja
PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis
From playlist Ergodic Theory and Dynamical Systems 2022
The general case? - Amie Wilkinson
Members' Seminar Topic: The general case? Speaker: Amie Wilkinson Affiliation: University of Chicago Date: March 25, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Can You Believe It? #12 We Would NOT Exist If Water Didn't Have These Properties
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn about the extraordinary properties of water that made life possible on Earth. Previous video in this series can be see
From playlist CAN YOU BELIEVE IT?
Uri Bader - 3/4 Algebraic Representations of Ergodic Actions
Ergodic Theory is a powerful tool in the study of linear groups. When trying to crystallize its role, emerges the theory of AREAs, that is Algebraic Representations of Ergodic Actions, which provides a categorical framework for various previously studied concepts and methods. Roughly, this
From playlist Uri Bader - Algebraic Representations of Ergodic Actions
The Green - Tao Theorem (Lecture 8) by D. S. Ramana
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
More resources available at www.misterwootube.com
From playlist Measuring Basic Shapes
Boris Solomyak: Lecture on Delone sets and Tilings
Abstract: In this lecture we focus on selected topics around the themes: Delone sets as models for quasicrystals, inflation symmetries and expansion constants, substitution Delone sets and tilings, and associated dynamical systems. Recording during the Jean-Morlet chair research school "T
From playlist Dynamical Systems and Ordinary Differential Equations