Properties of topological spaces
In mathematics, a dyadic compactum is a Hausdorff topological space that is the continuous image of a product of discrete two-point spaces, and a dyadic space is a topological space with a compactification which is a dyadic compactum. However, many authors use the term dyadic space with the same meaning as dyadic compactum above. Dyadic compacta and spaces satisfy the Suslin condition, and were introduced by Russian mathematician Pavel Alexandrov. Polyadic spaces are generalisation of dyadic spaces. (Wikipedia).
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
Three-Dimensional Coordinates and the Right-Hand Rule
We've done tons of stuff with the coordinate plane, but that depicts only two spatial dimensions. We experience the world in three spatial dimensions, so sometimes we will need to communicate coordinates in three-dimensional space. Let's look at some rules regarding this system, and a few
From playlist Mathematics (All Of It)
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)
This video explains the definition of a vector space and provides examples of vector spaces.
From playlist Vector Spaces
Covariant Phase Space with Boundaries - Daniel Harlow
More videos on http://video.ias.edu
From playlist Natural Sciences
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From playlist Science Unplugged: Special Relativity
On the dyadic Hilbert transform – Stefanie Petermichl – ICM2018
Analysis and Operator Algebras Invited Lecture 8.10 On the dyadic Hilbert transform Stefanie Petermichl Abstract: The Hilbert transform is an average of dyadic shift operators. These can be seen as a coefficient shift and multiplier in a Haar wavelet expansion or as a time shifted operat
From playlist Analysis & Operator Algebras
Gerard Cornuejols: Dyadic linear programming
A finite vector is dyadic if each of its entries is a dyadic rational number, i.e. if it has an exact floating point representation. We study the problem of finding a dyadic optimal solution to a linear program, if one exists. This is joint work with Ahmad Abdi, Bertrand Guenin and Levent
From playlist Workshop: Continuous approaches to discrete optimization
Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 2)
In this course we give an introduction to the ergodic theory behind common number expansions, like expansions to integer and non-integer bases, Luroth series and continued fraction expansion. Starting with basic ideas in ergodic theory such as ergodicity, the ergodic theorem and natural ex
From playlist École d’été 2013 - Théorie des nombres et dynamique
Ben Jaye: Reflectionless measures for singular integral operators
The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Harmonic Analysis and Partial Differential Equations. 15.7.2014
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
Tuomas Hytonen: Two-weight inequalities meet R-boundedness
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 Analysis and its Applications
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
Part 9 of the APL study group. Details here: https://forums.fast.ai/t/apl-array-programming/97188 Discuss this session here: https://forums.fast.ai/t/fast-ai-apl-study-session-9/97510
From playlist fast.ai APL Study Group
All are welcome to join our APL study group! Details here: https://forums.fast.ai/t/apl-array-programming/97188 Discuss this session here: https://forums.fast.ai/t/apl-study-session-1/97258
From playlist fast.ai APL Study Group
Part 14 of the APL study group. Details here: https://forums.fast.ai/t/apl-array-programming/97188 Discuss this session here: https://forums.fast.ai/t/fast-ai-apl-study-session-14/98070
From playlist fast.ai APL Study Group
Discover the Future of Graph Neural Networks | Beyond message passing
The next step for Graph Neural Networks (GNN). Based on their underlying topological spaces, they operate on. Graphs are per definition DYADIC Systems. The future of GNN explained. MY other videos on Graph Neural Networks (as mentioned): https://youtu.be/11bAAy8b4sI https://youtu.be/dBeYB
From playlist Learn Graph Neural Networks: code, examples and theory
Calculus 3: Vector Calculus in 2D (17 of 39) What is the Position Vector?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is the position vector. The position vector indicates the position of a particle relative to the origin. The position usually depends on, or is a function of, a parametric variable (ex. t
From playlist CALCULUS 3 CH 3 VECTOR CALCULUS
Part 13 of the APL study group. Details here: https://forums.fast.ai/t/apl-array-programming/97188 Discuss this session here: https://forums.fast.ai/t/fast-ai-apl-study-session-13/98031
From playlist fast.ai APL Study Group
A WEIRD VECTOR SPACE: Building a Vector Space with Symmetry | Nathan Dalaklis
We'll spend time in this video on a weird vector space that can be built by developing the ideas around symmetry. In the process of building a vector space with symmetry at its core, we'll go through a ton of different ideas across a handful of mathematical fields. Naturally, we will start
From playlist The New CHALKboard