Properties of topological spaces
In topology, a topological space is said to be resolvable if it is expressible as the union of two disjoint dense subsets. For instance, the real numbers form a resolvable topological space because the rationals and irrationals are disjoint dense subsets. A topological space that is not resolvable is termed irresolvable. (Wikipedia).
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
Does space mean emptiness? How do you describe it?
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From playlist Science Unplugged: Physics
The Human Body in Space - What happens to your body in space? Start learning with Brilliant today for FREE: http://brilliant.org/aperture Follow me on Instagram: https://www.instagram.com/mcewen/ Space is the final frontier. But you know, it’s not like space has a lot going on. There is q
From playlist Science & Technology 🚀
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
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
Is the nothing of a black hole the same as empty space?
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From playlist Science Unplugged: Black Holes
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From playlist Science Unplugged: Special Relativity
What is the Universe expanding into?
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From playlist Science Unplugged: Cosmology
Charles Batty: Rates of decay associated with operator semigroups
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Dynamical Systems and Ordinary Differential Equations
Physics - Optics: Diffraction Grating (6 of 7) Resolving Power=? of Diffraction Grating
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the resolving power of the diffraction grating. Next video in series: http://youtu.be/rKRrdOQuBPU
From playlist PHYSICS 61 DIFFRACTION OF LIGHT
Gabriele Ciaramella : Onwaveform-relaxation methods for wave-type equations
The parallel-in-time integration of wave-type equations is well known to be a difficult task. When applying classical waveform-relaxation (WR) and parareal type methods, one generally experiences rapid error growth before reaching convergence in a finite number of iterations. This negative
From playlist Jean-Morlet Chair - Gander/Hubert
Lec 25 | MIT 2.71 Optics, Spring 2009
Lecture 25: Resolution; defocused optical systems Instructor: George Barbastathis, Colin Sheppard, Se Baek Oh View the complete course: http://ocw.mit.edu/2-71S09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 2.71 Optics, Spring 2009
Hidden Dimensions: Exploring Hyperspace
Extra dimensions of space—the idea that we are immersed in hyperspace—may be key to explaining the fundamental nature of the universe. Relativity introduced time as the fourth dimension, and Einstein’s subsequent work envisioned more dimensions still--but ultimately hit a dead end. Modern
From playlist Science
algebraic geometry 40 Examples of resolutions
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives some examples of resoutions of singularities, and describes an application of resolution to a problem about analytic continuation of integrals.
From playlist Algebraic geometry I: Varieties
Lecture 20: Compact Operators and the Spectrum of a Bounded Linear Operator on a Hilbert Space
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=SFDMFbzCsH0&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
M. Kisin - Hilbert's thirteenth problem and the moduli space of abelian varieties
The (multi-valued) solution of a general polynomial of degree n is a priori a function of n-1 variables. Hilbert's thirteenth problem and its variants ask when such functions can be written as a composite of functions in a smaller number of variables. I will explain some progress on this q
From playlist Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday
Robert Scheichl: Generalised finite elements: domain decomposition, optimal local approximation...
I will present an efficient implementation of the highly robust and scalable GenEO preconditioner in the high-performance PDE framework DUNE. The GenEO coarse space is constructed by combining low energy solutions of local generalised eigenproblems using a partition of unity. In this talk,
From playlist Numerical Analysis and Scientific Computing
Christa Cuchiero: Rough volatility from an affine point of view​
Abstract: We represent Hawkes process and their Volterra long term limits, which have recently been used as rough variance processes, as functionals of infinite dimensional affine Markov processes. The representations lead to several new views on affine Volterra processes considered by Abi
From playlist Probability and Statistics
Even More Paradoxical: The Twin Paradox in Curved Spacetime
The Twin Paradox gets a stranger, even more mind-bending upgrade in General Relativity's world of curved spacetime. We explore the surprising and relatively unknown results to these new scenarios, while getting our toes wet in some of GR's conceptual frameworks. And finally, after several
From playlist Summer of Math Exposition Youtube Videos
From playlist Measuring Further Shapes