Fractals | Dimension theory | Metric geometry
In mathematics, the notion of an (exact) dimension function (also known as a gauge function) is a tool in the study of fractals and other subsets of metric spaces. Dimension functions are a generalisation of the simple "diameter to the dimension" power law used in the construction of s-dimensional Hausdorff measure. (Wikipedia).
Dimensions (1 of 3: The Traditional Definition - Directions)
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From playlist Exploring Mathematics: Fractals
Chapter 2 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.
From playlist Dimensions
Chapter 1 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.
From playlist Dimensions
Overview of position functions in calculus and how they relate to velocity and acceleration.
From playlist Calculus
Chapter 5 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.
From playlist Dimensions
Chapter 4 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.
From playlist Dimensions
Chapter 6 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.
From playlist Dimensions
(New Version Available) Inverse Functions
New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/
From playlist Exponential and Logarithmic Expressions and Equations
We introduce the idea of dimensional analysis and its use in finding unknown quantities' dependence on relevant dimensionful variables.
From playlist Mathematical Physics I Uploads
Ergün Yalcin: Representation rings for fusion systems and dimension functions
The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: Workshop "Fusion systems and equivariant algebraic topology"
From playlist HIM Lectures: Junior Trimester Program "Topology"
Xavier Ros-Oton: Regularity of free boundaries in obstacle problems, Lecture II
Free boundary problems are those described by PDE that exhibit a priori unknown (free) interfaces or boundaries. Such type of problems appear in Physics, Geometry, Probability, Biology, or Finance, and the study of solutions and free boundaries uses methods from PDE, Calculus of Variations
From playlist Hausdorff School: Trending Tools
Commutative algebra 59: Krull's principal ideal theorem
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 some applications of the theorems we proved about the dimension of local rings. We first show that the dimension of a
From playlist Commutative algebra
Session 2 - Bootstrapping Theories with Four Supercharge: Sheer El-Showk
https://strings2015.icts.res.in/talkTitles.php
From playlist Strings 2015 conference
8ECM Plenary Lecture: Xavier Cabré
From playlist 8ECM Plenary Lectures
Supersymmetry, Dimensional Reduction and Avalanches in Random-field Models by Gilles Tarjus
DISCUSSION MEETING : CELEBRATING THE SCIENCE OF GIORGIO PARISI (ONLINE) ORGANIZERS : Chandan Dasgupta (ICTS-TIFR, India), Abhishek Dhar (ICTS-TIFR, India), Smarajit Karmakar (TIFR-Hyderabad, India) and Samriddhi Sankar Ray (ICTS-TIFR, India) DATE : 15 December 2021 to 17 December 2021 VE
From playlist Celebrating the Science of Giorgio Parisi (ONLINE)
Alessandro Vichi - Anatomy of the Ising model from Conformal Bootstrap
The Ising model is the one the simplest and yet non-trivial Conformal Field Theory. For decades it has been a dream to study such an intricate strongly coupled theory non-perturbatively using symmetries and other consistency conditions. This idea, called the conformal bootstrap, saw some s
From playlist 100…(102!) Years of the Ising Model
John GRACEY - Generalized Gross-Neveu Universality Class with Non-abelian Symmetry
We use the large N expansion to compute d-dimensional critical exponents at O(1/N^3) for a generalization of the Gross-Neveu Yukawa universality class that includes a non-abelian symmetry. Specific groups correspond to certain phase transitions in condensed matter physics such as graphene.
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
The concept of “dimension” in measured signals
This is part of an online course on covariance-based dimension-reduction and source-separation methods for multivariate data. The course is appropriate as an intermediate applied linear algebra course, or as a practical tutorial on multivariate neuroscience data analysis. More info here:
From playlist Dimension reduction and source separation
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