Fractal derivative

Fractal Derivative

In this video, I define a neat concept called the fractal derivative (which shouldn't be confused with fractional derivatives). Then I provide a couple of examples, and finally I present an application of this concept to the study of anomalous diffusion in physics. Enjoy!

From playlist Calculus

Research: What is a fractal?

Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/leioslabs

From playlist research

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

mandelbrot fractal animation 5

another mandelbrot/julia fractal animation/morph.

From playlist Fractal

mandelbrot fractal animation 2

just me having my usual fun.

From playlist Fractal

Summer of math exposition submission- fractal calculus

Fractal Calculus

From playlist Summer of Math Exposition Youtube Videos

Stereolab - Fractal Dream of a Thing

From playlist the absolute best of stereolab

mandelbrot fractal animation 3

red and green.

From playlist Fractal

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

Halley's Method

Halley's Method (the method of tangent hyperbolas) for finding roots including history, derivation, examples, and fractals. Also discusses Taylor's Theorem relating to Halley's Method as well as Halley's Comet. Sample code and images available on GitHub https://www.github.com/osveliz/numer

From playlist Root Finding

Successive Parabolic Interpolation - Jarratt's Method

Optimization method for finding extrema of functions using three points to create a parabola that is then used to find the next approximation to the solution. This lesson visualizes the behavior of the method with numeric examples as well as its convergence through fractals. Based off the

From playlist Numerical Methods

mandelbrot julia rotation 4

rotation around some two axes at some offset.

From playlist Fractal

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

Laguerre's Method

Laguerre's method for finding real and complex roots of polynomials. Includes history, derivation, examples, and discussion of the order of convergence as well as visualizations of convergence behavior. Example code available on github https://www.github.com/osveliz/numerical-veliz Chapte

From playlist Root Finding

Newton Fractals

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

Householder's Method

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

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

What Is Fracking?

You’ve heard of fracking, and you’re pretty sure lots of people don’t like it, but do you know how it actually works? Learn more at HowStuffWorks.com: http://science.howstuffworks.com/environmental/energy/hydraulic-fracking.htm Share on Facebook: http://goo.gl/M5kx1i Share on Twitter: ht

From playlist Visually-Striking Episodes From the 2010s

Fractonic Gauge Theories by Vijay B Shenoy

DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental

From playlist Novel Phases of Quantum Matter 2019