Compactness (mathematics) | Properties of topological spaces
In mathematics, in the field of topology, a topological space is said to be realcompact if it is completely regular Hausdorff and every point of its Stone–Čech compactification is real (meaning that the quotient field at that point of the ring of real functions is the reals). Realcompact spaces have also been called Q-spaces, saturated spaces, functionally complete spaces, real-complete spaces, replete spaces and Hewitt–Nachbin spaces (named after Edwin Hewitt and Leopoldo Nachbin). Realcompact spaces were introduced by . (Wikipedia).
The International Space Station continues an uninterrupted human presence in space as a test-bed for future exploration beyond low-Earth orbit and the only science lab in microgravity. This music video featuring the space station and its crews is set to the song "World" by recording artist
From playlist Real Space Stations - YouTube Space Lab with Liam & Brad
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
Which Are The Real Photos of Spacecraft? They’re Out There and They’re Amazing
The internet. It gives us an instant connection to the sum of human knowledge, but it also lets misinformation travel at the speed of light. Everyday I get comments about how people will believe we’ve been to space after I show them evidence of actual spacecraft taken in space and not CGI
From playlist Guide to Space
Building Space Telescopes... In Space
When it comes to telescopes, bigger is better. That’s true down here on Earth, and it’s especially true out in space. As astronomers and engineers design the next generation of giant space telescopes, they’re running up against the limits of current launch providers. There are only so many
From playlist Guide to Space
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
The Militarization of Space. Do We Really Need a Space Force?
President Trump recently called for the creation of a space force to deal with the future warfighting in space. It turns out, this already exists, space is already well militarized. Audio Podcast version: ITunes: https://itunes.apple.com/us/podcast/universe-today-guide-to-space-audio/id79
From playlist Guide to Space
Earth Is Completely Surrounded By A Giant Human-Made Bubble
Humans aren't just changing the surface of Earth, we're also changing the space around us. We've created a bubble around Earth that NASA probes discovered. It's invisible to the naked eye but could prove incredibly useful in the near future for our way of life. ---------------------------
From playlist Space Science
SpaceX's Awesome New Craft, and 'Mega-Earth' Discovered
SciShow Space gives you the latest news from around the universe, including the discovery of a new class of exoplanet dubbed a "mega-Earth," and a tour of SpaceX's new crewed vehicle, the Dragon V2. ---------- Like SciShow? Want to help support us, and also get things to put on your walls,
From playlist SciShow Space
Hubble Dazzling First Light Images in HD
Watch this and other space videos at http://SpaceRip.com Spectacular new images from distant space that you must see to believe. The revolutionary Hubble Space Telescope will continue to open our eyes to the universe.
From playlist Frontiers of Deep Space
CGSR Seminar Series | War in Space: Strategy, Spacepower, Geopolitics
Speaker Biography Bleddyn Bowen primary research interests concern modern warfare, politics, and security in outer space, as well as classical strategic theory. Dr. Bowen provides research-led teaching in his 3rd year specialist module PL3144 Politics and War in Outer Space. He is the au
From playlist Center for Global Security Research
10. The Four Fundamental Subspaces
MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 10. The Four Fundamental Subspaces License: Creative Commons BY-NC-SA More information at http
From playlist MIT 18.06 Linear Algebra, Spring 2005
[Lesson 11] QED Prerequisites - Tensor Product Spaces
We take a detour from the Angular Momentum Mind Map to cover the important topic of Tensor Product spaces in the Dirac Formalism. In quantum mechanics, the notion of tensors is hidden under the hood of the formalism and this lesson opens that hood. The goal is to make us confident that we
From playlist QED- Prerequisite Topics
Nicolò Zava (3/17/23): Every stable invariant of finite metric spaces produces false positives
In computational topology and geometry, the Gromov-Hausdorff distance between metric spaces provides a theoretical framework to tackle the problem of shape recognition and comparison. However, the direct computation of the Gromov-Hausdorff distance between finite metric spaces is known to
From playlist Vietoris-Rips Seminar
CGSR Seminar Series | U.S. National Security Space Strategy: The Cold War to the Present
Talk Abstract At the present time, U.S. government officials are faced with the increasingly complex task of protecting critical national security space infrastructure in a rapidly evolving threat environment. When placed in a historical context, we find that anxiety about space security
From playlist Center for Global Security Research
Vice President Pence Calls for Human Missions to Moon, Mars at National Space Council
Vice President Mike Pence called for returning U.S. astronauts to the Moon and eventual missions to Mars during the first meeting of the National Space Council, held on October 5 at the Smithsonian National Air and Space Museum’s Steven F. Udvar-Hazy Center, outside Washington. Chaired by
From playlist Return to the Moon Playlist
Sanjay Mishra: Preservation of Properties during Topological Equivalence of Function Space
Sanjay Mishra, Lovely Professional University Title: Preservation of Properties during Topological Equivalence of Function Space The study of convergence of sequence of functions is the most important and active area of research in theoretical mathematics that solve several problems of app
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Marvels of Space-Time | Episode 705 | Closer To Truth
Einstein showed that space and time are essentially the same thing-a single entity, space-time. But space and time seem so radically different. How could space and time be literally the same thing? Featuring interviews with Max Tegmark, J. Gott, Juan Maldacena, Fotini Markopoulou, and Joh
From playlist Closer To Truth | Season 7
CS224W: Machine Learning with Graphs | 2021 | Lecture 19.2 - Hyperbolic Graph Embeddings
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3Brc7vN Jure Leskovec Computer Science, PhD In previous lectures, we focused on graph representation learning in Euclidean embedding spaces. In this lecture, we in
From playlist Stanford CS224W: Machine Learning with Graphs
EARTH FROM SPACE: Like You've Never Seen Before
Showing cities all over the world from orbit from North America to India with a dramatic Beethoven soundtrack.
From playlist Space Videos
What is a Tensor 13: Realization of a Vector Space
What is a Tensor 13: Realization of a Vector Space Note: There is an error at 3:26. The equality I write down is only true for orthonormal basis vectors! There will always be a relationship between (e_\mu, e_\nu) and (e^\mu , e^\nu) but it wont always be as simple as I wrote down! For som
From playlist What is a Tensor?