Arithmetic dynamics | Base-dependent integer sequences | Diophantine equations
In number theory, a perfect digital invariant (PDI) is a number in a given number base that is the sum of its own digits each raised to a given power. (Wikipedia).
Review of Linear Time Invariant Systems
http://AllSignalProcessing.com for more great signal-processing content: ad-free videos, concept/screenshot files, quizzes, MATLAB and data files. Review: systems, linear systems, time invariant systems, impulse response and convolution, linear constant-coefficient difference equations
From playlist Introduction and Background
Properties of Fourier Transforms
http://AllSignalProcessing.com for more great signal-processing content: ad-free videos, concept/screenshot files, quizzes, MATLAB and data files. Basic properties of the Fourier transform and discrete-time Fourier transform: convolution-multiplication, multiplication-convolution (windowi
From playlist Introduction and Background
Symmetry in Physics | Noether's theorem
▶ Topics ◀ Global / Local Symmetries, Continuous / Discrete Symmetries ▶ Social Media ◀ [Instagram] @prettymuchvideo ▶ Music ◀ TheFatRat - Fly Away feat. Anjulie https://open.spotify.com/track/1DfFHyrenAJbqsLcpRiOD9 If you want to help us get rid of ads on YouTube, you can support us on
From playlist Symmetry
Introduction to Linear Time Invariant System Descriptions
http://AllSignalProcessing.com for free e-book on frequency relationships and more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Introduces systems and their use in signal processing; defines linearity, time invariance, and causal sys
From playlist Introduction and Background
Lorentz Covariance VS Lorentz Invariance: What's the Difference? | Special Relativity
In special relativity, Lorentz covariance and Lorentz invariance are two very important concepts. But what exactly are these concepts? In this video, we will find out! Contents: 00:00 Definitions 00:51 Examples If you want to help us get rid of ads on YouTube, you can support us on Patr
From playlist Special Relativity, General Relativity
http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Noncausal filtering of stored data to obtain zero-phase response using the time-reversal property of the DFT, as implemented by the "filtfilt" comma
From playlist Introduction to Filter Design
Closed loop discrete controller Lecture 2019-04-08
Evaluating the response of a continuous system controlled by a discrete controller using several methods
From playlist Discrete
Gabriele Vezzosi - Applications of non-commutative algebraic geometry to arithmetic geometry
Abstract: We will briefly recall the general philosophy of non-commutative (and derived) algebraic geometry in order to establish a precise link between dg-derived category of singularities of Landau-Ginzburg models and vanishing cohomology, over an arbitrary henselian trait. We will then
From playlist Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday
Four theorems about the Euler characteristic and some space invaders
A talk about Euler characteristics and digital topology meant for a general quantitatively literate audience- hopefully understandable to anybody who can handle basic mathematical ideas. I gave this talk at the weekly colloquium for the Fairfield University summer research groups, includin
From playlist Research & conference talks
AMMI 2022 Course "Geometric Deep Learning" - Lecture 4 (Geometric Priors II) - Joan Bruna
Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July 2022 by Michael Bronstein (Oxford), Joan Bruna (NYU), Taco Cohen (Qualcomm), and Petar Veličković (DeepMind) Video recording of the course "Geometric Deep Learning" taught
From playlist AMMI Geometric Deep Learning Course - Second Edition (2022)
Introduction to the z-Transform
http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Introduces the definition of the z-transform, the complex plane, and the relationship between the z-transform and the discrete-time Fourier transfor
From playlist The z-Transform
Stéphane Mallat: "Scattering Invariant Deep Networks for Classification, Pt. 2"
Graduate Summer School 2012: Deep Learning, Feature Learning "Scattering Invariant Deep Networks for Classification, Pt. 2" Stéphane Mallat, École Polytechnique Institute for Pure and Applied Mathematics, UCLA July 18, 2012 For more information: https://www.ipam.ucla.edu/programs/summer
From playlist GSS2012: Deep Learning, Feature Learning
Elena Celledoni: Deep learning of diffeomorphisms for optimal reparametrizations of shapes
CONFERENCE Recorded during the meeting "Energy-Based Modeling, Simulation, and Control of Complex Constrained Multiphysical Systems" the April 18, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other
From playlist Numerical Analysis and Scientific Computing
Nicola Quercioli (1/13/21): Group equivariant non-expansive operators and their use in Deep Learning
Full Title: On the topological and geometrical properties of group equivariant non-expansive operators and their use in Deep Learning
From playlist ATMCS/AATRN 2020
Why are we drawn to symmetry? Because it provides order in a seemingly chaotic world? Because our brains are the product of the very same laws that yield the flower, the snowflake and the solar system? Because evolution selects for structures with symmetry? In this Salon, we will ask an in
From playlist Deeper Dives 2016
Experimental and Numerical Explorations Around the 4th Millenium problem....by Bérengère Dubrulle
Program Turbulence: Problems at the Interface of Mathematics and Physics (ONLINE) ORGANIZERS: Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (Indian Institute of Science, Bengaluru) DATE: 07 December 202
From playlist Turbulence: Problems at The Interface of Mathematics and Physics (Online)
You can learn more about The Great Courses Plus here: http://ow.ly/3qDN30hIvdb Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/DonateSPACE Some see string theory as the one great hope for a theory of everything – that it will
From playlist Understanding the Holographic Universe
Symmetries show up everywhere in physics. But what is a symmetry? While the symmetries of shapes can be interesting, a lot of times, we are more interested in symmetries of space or symmetries of spacetime. To describe these, we need to build "invariants" which give a mathematical represen
From playlist Relativity