Topology

Bitopological space

In mathematics, a bitopological space is a set endowed with two topologies. Typically, if the set is and the topologies are and then the bitopological space is referred to as . The notion was introduced by J. C. Kelly in the study of quasimetrics, i.e. distance functions that are not required to be symmetric. (Wikipedia).

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What is space?

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

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What is a dimension? In 3D...and 2D... and 1D

1D - it's the new 3D! Tweet it - http://bit.ly/mP3FFo Facebook it - http://on.fb.me/qtTraR minutephysics is now on Google+ - http://bit.ly/qzEwc6 And facebook - http://facebook.com/minutephysics Minute Physics provides an energetic and entertaining view of old and new problems

From playlist MinutePhysics

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Subspaces and Span

Now that we know what vector spaces are, let's learn about subspaces. These are smaller spaces contained within a larger vector space that are themselves vector spaces. Script by Howard Whittle Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath Classical Physics Tutorials:

From playlist Mathematics (All Of It)

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Basis and Dimension

Now we know about vector spaces, so it's time to learn how to form something called a basis for that vector space. This is a set of linearly independent vectors that can be used as building blocks to make any other vector in the space. Let's take a closer look at this, as well as the dimen

From playlist Mathematics (All Of It)

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Intersection of Planes on Geogebra

In this video, we look at a strategy for finding the intersection of planes on Geogebra.

From playlist Geogebra

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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

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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

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[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

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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

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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

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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

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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

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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

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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

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What is a Vector Space? (Abstract Algebra)

Vector spaces are one of the fundamental objects you study in abstract algebra. They are a significant generalization of the 2- and 3-dimensional vectors you study in science. In this lesson we talk about the definition of a vector space and give a few surprising examples. Be sure to su

From playlist Abstract Algebra

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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?

Related pages

Topological space | Map (mathematics) | Mathematics | Set (mathematics)