Fractals | Dimension theory | Metric geometry
In mathematics — specifically, in fractal geometry — the Assouad dimension is a definition of fractal dimension for subsets of a metric space. It was introduced by in his 1977 PhD thesis and later published in 1979, although the same notion had been studied in 1928 by Georges Bouligand. As well as being used to study fractals, the Assouad dimension has also been used to study quasiconformal mappings and embeddability problems. (Wikipedia).
From playlist Dimensions Arabe/Arabic / العربية
From playlist Dimensions Arabe/Arabic / العربية
From playlist Dimensions Arabe/Arabic / العربية
From playlist Dimensions Arabe/Arabic / العربية
From playlist Dimensions Arabe/Arabic / العربية
From playlist Dimensions Arabe/Arabic / العربية
From playlist Dimensions Arabe/Arabic / العربية
From playlist Dimensions Arabe/Arabic / العربية
From playlist Dimensions Arabe/Arabic / العربية
Nexus Trimester - Suresh Venkatasubramanian (University of Utah) 2/3
From Pigeons to Fano, and beyond Suresh Venkatasubramanian (University of Utah) February 17, 2016 Abstract: Fano's inequality can be viewed as capturing a deep interplay between information and computation. It links storage, reconstruction and transmission in one inequality, generalizing
From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme
This video was made possible by our Patreon community! ❤️ See new videos early, participate in exclusive Q&As, and more! ➡️ https://www.patreon.com/EconomicsExplained ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ South Africa is an economy that is really important to understand as a kind of potential outcom
From playlist Countries Economies Explained
Nexus Trimester - Suresh Venkatasubramanian (University of Utah) 1/3
From Pigeons to Fano, and beyond Suresh Venkatasubramanian (University of Utah) February 17, 2016 Abstract: Fano's inequality can be viewed as capturing a deep interplay between information and computation. It links storage, reconstruction and transmission in one inequality, generalizing
From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme
Nexus Trimester - Suresh Venkatasubramanian (University of Utah) 3/3
From Pigeons to Fano, and beyond Suresh Venkatasubramanian (University of Utah) February 17, 2016 Abstract: Fano's inequality can be viewed as capturing a deep interplay between information and computation. It links storage, reconstruction and transmission in one inequality, generalizing
From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme
Commutative algebra 53: Dimension Introductory survey
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We give an introductory survey of many different ways of defining dimension. Reading: Section Exercises:
From playlist Commutative algebra
Kenneth Falconer: Intermediate dimensions, capacities and projections
The talk will review recent work on intermediate dimensions which interpolate between Hausdorff and box dimensions. We relate these dimensions to capacities which leading to ‘Marstrand-type’ theorems on the intermediate dimensions of projections of a set in $\mathbb{R}^{n}$ onto almost all
From playlist Analysis and its Applications
algebraic geometry 14 Dimension
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the dimension of a topological space, algebraic set, or ring.
From playlist Algebraic geometry I: Varieties
Juan M. Maldacena - Are there Extra Dimensions?
Free access to Closer to Truth's library of 5,000 videos: http://bit.ly/2UufzC7 Extra dimensions—beyond length, width, height—seem like the stuff of science fiction. What would extra dimensions be like? Is time the fourth dimension? Does string theory require ten or eleven dimensions? Cou
From playlist Exploring the Multiverse - Closer To Truth - Core Topic
Dave Richeson - A Romance of Many (and Fractional) Dimensions - CoM Oct 2021
Dimension seems like an intuitive idea. We are all familiar with zero-dimensional points, one-dimensional curves, two-dimensional surfaces, and three-dimensional solids. Yet dimension is a slippery idea that took mathematicians many years to understand. We will discuss the history of dimen
From playlist Celebration of Mind 2021
Are there Extra Dimensions? | Episode 406 | Closer To Truth
Extra dimensions -beyond length, width, height- seem the stuff of science fiction. What would extra dimensions be like? Is time the fourth dimension? Could deep reality be so strange? And, anyway, why would we care? Featuring interviews with Lawrence Krauss, Michio Kaku, David Gross, Nima
From playlist Closer To Truth | Season 4