Using Newton's Method to create Fractals by plotting convergence behavior on the complex plane. Functions used in this video include arctan(z), z^3-1, sin(z), z^8-15z^4+16. Example code and images available at https://github.com/osveliz/numerical-veliz Correction: The derivative of arctan
From playlist Root Finding
Fractals are typically not self-similar
An explanation of fractal dimension. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: https://3b1b.co/fractals-thanks And by Affirm: https://www.affirm.com/careers H
From playlist Explainers
Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/leioslabs
From playlist research
What are fractals? Just look at your broccoli to find out! License: Creative Commons BY-NC-SA More information at http://k12videos.mit.edu/terms-conditions
From playlist Measurement
Summer of math exposition submission- fractal calculus
Fractal Calculus
From playlist Summer of Math Exposition Youtube Videos
Fractals from Newton’s Method | Lecture 18 | Numerical Methods for Engineers
Determines the three complex cube roots of unity and discusses how to generate a Newton fractal using Newton's method of root finding. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-eng
From playlist Numerical Methods for Engineers
The Newton Fractal Explained | Deep Dive Maths
A Newton fractal is obtained by iterating Newton's method to find the roots of a complex function. The iconic picture of this fractal is what I call The Newton Fractal, and is generated from the function f(z)=z^3-1, whose roots are the three cube roots of unity. What is the history of th
From playlist Deep Dive Maths
8.2: Fractal Recursion - The Nature of Code
This video looks at how to write functions in Processing that call themselves (recursion) for the purpose of drawing fractals. (If I reference a link or project and it's not included in this description, please let me know!) Read along: http://natureofcode.com/book/chapter-8-fractals/#ch
From playlist The Nature of Code: Simulating Natural Systems
Alain Arneodo: Wavelet-based multifractal analysis of dynamic infrared thermograms [...]
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 30 years of wavelets
Semiclassical analysis, chaotic dynamics, and fractal uncertainty principle - Semyon Dyatlov
Emerging Topics Working Group Topic: Semiclassical analysis, chaotic dynamics, and fractal uncertainty principle Speaker: Semyon Dyatlov Affiliation: Massachusetts Institute of Technology Date: October 10, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Musimathics: Fractals & Self-Similarity (Part 10)
Welcome to the Musimathics series! Musimathics gives an overview of some of the most interesting topics in the field of mathematical music theory! You are watching the tenth video in the series. In this video, Chloe goes over the basics of fractals and self-similarity, as well as their ap
From playlist Musimathics: Music & Math
Additive Energy of Regular Measures in One and Higher Dimensions, and the Fractal... - Laura Cladek
Analysis & Mathematical Physics Topic: Additive Energy of Regular Measures in One and Higher Dimensions, and the Fractal Uncertainty Principle Speaker: Laura Cladek Affiliation: von Neumann Fellow, School Of Mathematics Date: December 14, 2022 We obtain new bounds on the additive energy
From playlist Mathematics
Real Analysis Ep 17: The Cantor Set
Episode 17 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is about the Cantor set. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker webpage: http://faculty.fairfie
From playlist Math 3371 (Real analysis) Fall 2020
Householder's Method for finding roots of equations including history, derivation, examples, and fractals. Example code is available on GitHub https://github.com/osveliz/numerical-veliz Chapters 0:00 Intro 0:25 Derivation 1:58 History 2:34 Householder's Method 4:07 Householder's Method Ex
From playlist Root Finding
Asymptotic Analysis of Spectral Problems in Thick Junctions with the Branched...by Taras Mel’nyk
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)
Time Series Analysis of Terrorist events in the Global Terrorism Database by Sunil Kumar
Program Summer Research Program on Dynamics of Complex Systems ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATE : 15 May 2019 to 12 July 2019 VENUE : Madhava hall for Summer School & Ramanujan hall f
From playlist Summer Research Program On Dynamics Of Complex Systems 2019
Fractal uncertainty principle and its applications - Semyon Dyatlov
Emerging Topics Working Group Topic:Fractal uncertainty principle and its applications Speaker: Semyon Dyatlov Affiliation: Massachusetts Institute of Technology Date: October 9, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Learn how to find multiple solutions to a trigonometric equation
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given
From playlist Solve Trig Equations [0,2pi) (Multi)(Power) #AnalyticTrig
Maryna Kachanovska: Transparent boundary conditions for wave propagation in fractal trees
CONFERENCE Recorded during the meeting " Herglotz-Nevanlinna Functions and their Applications to Dispersive Systems and Composite Materials " the May 25, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video a
From playlist Mathematics in Science & Technology