Separation axioms | Properties of topological spaces
In the mathematical field of general topology, a Dowker space is a topological space that is T4 but not countably paracompact. They are named after Clifford Hugh Dowker. The non-trivial task of providing an example of a Dowker space (and therefore also proving their existence as mathematical objects) helped mathematicians better understand the nature and variety of topological spaces. (Wikipedia).
月周回衛星「かぐや」のHDTVが観測した雨の海と虹の入り江 (C) JAXA/NHK
From playlist Earth's place in Solar System - Jaxa
A Dyson Sphere is a megastructure that could be built around a star to harness all the solar energy it gives off. In this video we talk about the different kinds of Dyson Spheres, Dyson Clouds and other megastructures that could be built - and how we might even detect them from Earth. ht
From playlist Guide to Space
Q&A - The Story of Spacetime - with Fay Dowker
If gravitational forces don’t exist, how can you explain acceleration? Fay Dowker answers questions from the audience following her talk on general relativity and the nature of spacetime. Watch the talk here: https://www.youtube.com/watch?v=XtptrdsToXU Subscribe for regular science videos:
From playlist Ri Talks
月周回衛星「かぐや」のHDTVが観測したオリエンタレ・ベイスン (C)JAXA/NHK
From playlist Earth's place in Solar System - Jaxa
The Story of Spacetime – with Fay Dowker
Fay Dowker tells the story of general relativity and its interactions with Newtonian physics, from Galileo to cutting edge research on the granularity of spacetime. Subscribe for regular science videos: http://bit.ly/RiSubscRibe Watch the Q&A that follows this talk here: https://www.youtu
From playlist Ri Talks
Fay Dowker Public Lecture - Spacetime Atoms and the Unity of Physics (Perimeter Public Lecture)
Fay Dowker speaks at a Perimeter Institute Public Lecture on November 2, 2011. Black holes are hot! This discovery made by Stephen Hawking ties together gravity, spacetime, quantum matter, and thermal systems into the beautiful and exciting science of "Black Hole Thermodynamics". Its be
From playlist Public Lecture Series
Einstein Vs. Newton on Space and Time
Albert Einstein's theories shook the very foundation of reality, challenging the Newtonian view that space and time are absolute. Science historian David Kaiser and physicist Fay Dowker set the stage for this evolution of understanding about time in this clip from the 2009 World Science Fe
From playlist The Life and Work of Albert Einstein
About Time: Metronomes at Perimeter
During the 2016 Time in Cosmology conference at Perimeter Institute, researchers gathered for a performance of Poeme Symphonique, a 1962 composition by György Ligeti for 100 metronomes. Speakers in the video are scientists participating in the conference, including Neil Turok, Lee Smolin,
From playlist Art and science
A01 An introduction to a series on space medicine
A new series on space medicine.
From playlist Space Medicine
PBS Member Stations rely on viewers like you. To support your local station, go to: http://to.pbs.org/DonateSPACE ↓ More info below ↓ Sign Up on Patreon to get access to the Space Time Discord! https://www.patreon.com/pbsspacetime Check out the Space Time Merch Store https://pbsspacetim
From playlist Space Time!
Emilie Purvine (3/3/23): Applied Topology for Discrete Structures
Discrete structures have a long history of use in applied mathematics. Graphs and hypergraphs provide models of social networks, biological systems, academic collaborations, and much more. Network science, and more recently hypernetwork science, have been used to great effect in analyzing
From playlist Vietoris-Rips Seminar
HUBBLE: Window to the Universe
The Hubble Space Telescope is one of the greatest technological achievements in our history, and for two decades has astonished us with dynamic images of our solar system and the world beyond. To celebrate this important twenty-year milestone, NASA looks back at the contributions of this
From playlist Great Experiments in Space - YouTube Space Lab
Vladimir Itskov (4/9/19): Directed complexes, sequence dimension and inverting a neural network
Title: Directed complexes, sequence dimension and inverting a neural network Abstract: What is the embedding dimension, and more generally, the geometry of a set of sequences? This problem arises in the context of neural coding and neural networks. Here one would like to infer the geometr
From playlist AATRN 2019
NASA's newest X-ray telescope will have a lengthy structure that unfolds in space, allowing it to see high-energy objects like feeding black holes.
From playlist NuSTAR
月周回衛星「かぐや」のHDTVが観測したアルキメデス (C)JAXA/NHK
From playlist Earth's place in Solar System - Jaxa
Chad Giusti (4/13/22): An approach to assigning semantics to persistent homology classes
Abstract: One of the most difficult questions to field when talking to scientists and engineers about persistent homology is, to paraphrase, "What does seeing this 'hole' mean in terms of my application?" In this talk, I will discuss some of the complexities inherent in addressing that que
From playlist AATRN 2022
Emilie Purvine (5/2/21): Homology of Graphs and Hypergraphs
Graphs and hypergraphs are typically studied from a combinatorial perspective. A graph being a collection of vertices and pairwise relationships (edges) among the vertices, and a hypergraph capturing multi-way or groupwise relationships (hyperedges) among the vertices. But both of these ob
From playlist TDA: Tutte Institute & Western University - 2021
国際宇宙ステーション(ISS)に長期滞在中の若田光一宇宙飛行士が、ISS内を紹介します。(2009年4月4日撮影)(C)NASA/JAXA
From playlist Living in Space - Jaxa
DSI | Hypergraphs and Topology for Data Science | By Emilie Purvine
Data scientists and applied mathematicians must grapple with complex data when analyzing complex systems. Analytical methods almost always represent phenomena as a much simpler level than the complex structure or dynamics inherent in systems, through either simpler measured or sampled data
From playlist DSI Virtual Seminar Series
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