What exactly is space? Brian Greene explains what the "stuff" around us is. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https:
From playlist Science Unplugged: Physics
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Metric space definition and examples. Welcome to the beautiful world of topology and analysis! In this video, I present the important concept of a metric space, and give 10 examples. The idea of a metric space is to generalize the concept of absolute values and distances to sets more gener
From playlist Topology
Is there any place in the Universe where there's truly nothing? Consider the gaps between stars and galaxies? Or the gaps between atoms? What are the properties of nothing?
From playlist Guide to Space
From playlist Measuring Further Shapes
This video explains the definition of a vector space and provides examples of vector spaces.
From playlist Vector Spaces
Complete metric space: example & proof
This video discusses an example of particular metric space that is complete. The completeness is proved with details provided. Such ideas are seen in branches of analysis.
From playlist Mathematical analysis and applications
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From playlist Science Unplugged: Special Relativity
Antonio Rieser (03/29/23) Algebraic Topology for Graphs & Mesoscopic Spaces: Homotopy & Sheaf Theory
Title: Algebraic Topology for Graphs and Mesoscopic Spaces: Homotopy and Sheaf Theory Abstract: In this talk, we introduce the notion of a mesoscopic space: a metric space decorated with a privileged scale, and we survey recent developments in the algebraic topology of such spaces. Our ap
From playlist AATRN 2023
Ask the Space Lab Expert: What is Space?
Have you ever wanted to go to Space? In this first episode of Space Lab, Brad and Liam from "World of the Orange" take you on an adventure to discover exactly what is Space. You'll find out about the solar system, the big bang, Sci-Fi movies that are becoming reality, and more!
From playlist What is Space? YouTube Space Lab with Liam and Brad
Bruno de Mendonca Braga: Coarse equivalences of metric spaces and out automorphisms of Roe algebras
Talk by Bruno Braga in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on September 2, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
MAST30026 Lecture 13: Metrics on function spaces (Part 2)
I discussed pointwise and uniform convergence of functions, proved that the uniform limit of continuous functions is continuous, and used that to prove that Cts(X,Y) is a complete metric space with respect to the sup metric if X is compact and Y is a complete metric space. Lecture notes:
From playlist MAST30026 Metric and Hilbert spaces
Math 131 Spring 2022 041122 Uniform Convergence and Continuity
Exercise: the limit of uniformly convergent continuous functions is continuous. Theorem: generalization. Theorem: pointwise convergence on a compact set + extra conditions guarantees uniform convergence. Digression: supremum norm metric on bounded continuous functions. Definitions.
From playlist Math 131 Spring 2022 Principles of Mathematical Analysis (Rudin)
Hidden Order: Hyperuniformity and Rigidity by Joel Lebowitz
DISCUSSION MEETING : STATISTICAL PHYSICS OF COMPLEX SYSTEMS ORGANIZERS : Sumedha (NISER, India), Abhishek Dhar (ICTS-TIFR, India), Satya Majumdar (University of Paris-Saclay, France), R Rajesh (IMSc, India), Sanjib Sabhapandit (RRI, India) and Tridib Sadhu (TIFR, India) DATE : 19 December
From playlist Statistical Physics of Complex Systems - 2022
Alexander Rolle (8/12/22): Homology inference for the degree-Rips bifiltration
The degree-Rips bifiltration is a density-sensitive construction based on the Vietoris-Rips filtration. I will motivate the "degree" part of the construction, and present a framework for studying homology inference questions. I will also present an example, motivated by experiments in a re
From playlist Vietoris-Rips Seminar
Interpreting Polynomial Structure Analytically - Julia Wolf
Julia Wolf Rutgers, The State University of New Jersey February 8, 2010 I will be describing recent joint efforts with Tim Gowers to decompose a bounded function into a sum of polynomially structured phases and a uniform error, based on the recent inverse theorem for the Uk norms on Fpn b
From playlist Mathematics
Hidden Order: Hyperuniformity and Rigidity by Joel Lebowitz
DISCUSSION MEETING : STATISTICAL PHYSICS OF COMPLEX SYSTEMS ORGANIZERS : Sumedha (NISER, India), Abhishek Dhar (ICTS-TIFR, India), Satya Majumdar (University of Paris-Saclay, France), R Rajesh (IMSc, India), Sanjib Sabhapandit (RRI, India) and Tridib Sadhu (TIFR, India) DATE : 19 December
From playlist Statistical Physics of Complex Systems - 2022
Matthew Lorentz: The Hochschild cohomology of uniform Roe algebras
Talk by Jonathan Rosenberg in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on October 28, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
Introduction to Metric Spaces - Definition of a Metric. - The metric on R - The Euclidean Metric on R^n - A metric on the set of all bounded functions - The discrete metric
From playlist Topology
Math 131 111616 Uniform Convergence and Continuity
Class exercise: the limit of a sequence of uniformly convergent continuous functions is continuous (two ways: contradiction, and directly). Slight generalization: what if functions are not continuous? Pointwise convergence on a compact set does not imply uniform convergence. Pointwise
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis