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
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
Is the nothing of a black hole the same as empty space?
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://twitter.com/worldscienceu
From playlist Science Unplugged: Black Holes
Does space mean emptiness? How do you describe it?
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://twitter.com/worldscienceu
From playlist Science Unplugged: Physics
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
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
Open and closed sets -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
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
From playlist Measuring Further Shapes
MAST30026 Lecture 18: Banach spaces (Part 3)
I finished (completed!) the construction of the completion of a metric space, and sketched the proof that uniformly continuous functions extend from a metric space to its completion uniquely. I then constructed the completion of a normed space and ended by formally defining L^p spaces. Le
From playlist MAST30026 Metric and Hilbert spaces
Jens Kaad: Exterior products of compact quantum metric spaces
Talk by Jens Kaad in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on November 24, 2020.
From playlist Global Noncommutative Geometry Seminar (Europe)
MAST30026 Lecture 18: Banach spaces (Part 2)
I gave a counter-example which shows that the space of functions on an integral pair with the L^p-norm for p finite is not complete, and then I started the process of constructing the completion. We almost got to the end of proving the existence of the completion of a metric space. Lectur
From playlist MAST30026 Metric and Hilbert spaces
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
Recursive combinatorial aspects of compactified moduli spaces – Lucia Caporaso – ICM2018
Algebraic and Complex Geometry Invited Lecture 4.3 Recursive combinatorial aspects of compactified moduli spaces Lucia Caporaso Abstract: In recent years an interesting connection has been established between some moduli spaces of algebro-geometric objects (e.g. algebraic stable curves)
From playlist Algebraic & Complex Geometry
MAST30026 Lecture 19: Duality and Hilbert space
I began by proving the universal property of the completion of a normed space. I then discussed characterisations of finite-dimensionality for vector spaces, introduced the continuous linear dual for normed spaces and the operator norm, and stated the duality theorem or L^p spaces which sa
From playlist MAST30026 Metric and Hilbert spaces
Metric Spaces - Lectures 13 & 14: Oxford Mathematics 2nd Year Student Lecture
For the first time we are making a full Oxford Mathematics Undergraduate lecture course available. Ben Green's 2nd Year Metric Spaces course is the first half of the Metric Spaces and Complex Analysis course. This is the 7th of 11 videos. The course is about the notion of distance. You ma
From playlist Oxford Mathematics Student Lectures - Metric Spaces
Metric Spaces - Lectures 11 & 12: Oxford Mathematics 2nd Year Student Lecture
For the first time we are making a full Oxford Mathematics Undergraduate lecture course available. Ben Green's 2nd Year Metric Spaces course is the first half of the Metric Spaces and Complex Analysis course. This is the 6th of 11 videos. The course is about the notion of distance. You ma
From playlist Oxford Mathematics Student Lectures - Metric Spaces
Toeplitz methods in completeness and spectral problems – Alexei Poltoratski – ICM2018
Analysis and Operator Algebras Invited Lecture 8.18 Toeplitz methods in completeness and spectral problems Alexei Poltoratski Abstract: We survey recent progress in the gap and type problems of Fourier analysis obtained via the use of Toeplitz operators in spaces of holomorphic functions
From playlist Analysis & Operator Algebras
Low Algebraic Dimension Matrix Completion -Laura Balzano
Virtual Workshop on Missing Data Challenges in Computation Statistics and Applications Topic: Low Algebraic Dimension Matrix Completion Speaker: Laura Balzano Date: September 11, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
The Universe is always surprising us with how little we know about... the Universe. It's continuously presenting us with stuff we never imagined, or even thought possible. The search for extrasolar planets is a great example. Since we started, astronomers have turned up over a thousand
From playlist Planets and Moons