Fractals | Complex dynamics

Multibrot set

In mathematics, a Multibrot set is the set of values in the complex plane whose absolute value remains below some finite value throughout iterations by a member of the general monic univariate polynomial family of recursions. The name is a portmanteau of multiple and Mandelbrot set. The same can be applied to the Julia set, this being called Multijulia set. where d ≥ 2. The exponent d may be further generalized to negative and fractional values. (Wikipedia).

Multibrot set
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Multibrot Shape Forming

My deepest and longest zoom yet! Final magnification: 10^150. To start, I need a minibrot to get my embedded Julia sets from. The minibrot has to be deep enough so there isn't much distortion. (This also causes the layers to be more spread apart.) I chose the minibrot at 0:18, at a si

From playlist Mandelbrot Set Videos

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Epicycloids and Hypocycloids - A Link Between Curve Stitching and the Mandelbrot Set #SoME2

Epicycloids and Hypocycloids appear everywhere in math; especially the cardioid. These shapes act as a fascinating link between curve stitching, and the Mandelbrot set (as well as the Multibrot sets). Below are links to some programs and resources. I encourage anyone to explore and play

From playlist Summer of Math Exposition 2 videos

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Electronic measurement equipment and multimeters - Part 1

In this video series I show different measurement equipment (multimeters, etc) and why / how I use them. In later videos I'll explore different features and highlight pro's and con's. A list of my multimeters can be purchased here: http://astore.amazon.com/m0711-20?_encoding=UTF8&node=

From playlist Electronic Measurement Equipment

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Stirring the Mandelbrot Set

http://code.google.com/p/mandelstir/

From playlist mandelstir

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Mandelbrot Set Computer Rendered

Bask in the beauty of the Mandelbrot set, one of the most incredible and otherworldly constructions in mathematics. This video explores the set as generated by a computer program developed by me.

From playlist Fun

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The Mandelbrot set is a churning machine

Its job is to fling off the red pixels and hang onto the green ones. Audio by @Dorfmandesign

From playlist mandelstir

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Stirring the Mandelbrot Set: a checkerboard

http://code.google.com/p/mandelstir/

From playlist mandelstir

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Multimeter Review / DMM Review / buyers guide / tutorial

A list of my multimeters can be purchased here: http://astore.amazon.com/m0711-20?_encoding=UTF8&node=5 In this video I do a review of several digital multimeters. I compare features and functionality. I explain safety features, number of digits, display count, accuracy and resolution. Th

From playlist Multimeter reviews, buyers guide and comparisons.

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Electrical Engineering: Basic Laws (27 of 31) The Multi Range Meter

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a multi range voltmeter. Next video in this series can be seen at: https://youtu.be/2l8TiDglwO4

From playlist ELECTRICAL ENGINEERING 2 BASIC LAWS

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Set Game

SET is an awesome game that really gets your brain working. Play it! Read more about SET here: http://theothermath.com/index.php/2020/03/27/set/

From playlist Games and puzzles

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Mandelbrot Set Introduction

The Mandelbrot set is a complex fractal, arguably one of the most beautiful structures in mathematics. It is introduced in this video.

From playlist Fun

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Power Set of the Power Set of the Power Set of the Empty Set | Set Theory

The power set of the power set of the power set of the empty set, we'll go over how to find just that in today's set theory video lesson! We'll also go over the power set of the empty set, the power set of the power set of the empty set, and we'll se the power set of the power set of the p

From playlist Set Theory

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Set Theory (Part 1): Notation and Operations

Please feel free to leave comments/questions on the video and practice problems below! In this video series, we'll explore the basics of set theory. I assume no experience with set theory in the video series and anyone who's "been around town" in math should understand the videos. To make

From playlist Set Theory by Mathoma

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Hereditarily finite sets

In this video I give an implementation of the power set operation for a crude notion of sets. I then use it to general the hereditarily finite set. I'm motivated both by providing a nice elaboration of a simple model of the ZFC axioms as well as giving a bridge to talk about the AVL-tree d

From playlist Programming

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The perfect number of axioms | Axiomatic Set Theory, Section 1.1

In this video we introduce 6 of the axioms of ZFC set theory. My Twitter: https://twitter.com/KristapsBalodi3 Intro: (0:00) The Axiom of Existence: (2:39) The Axiom of Extensionality: (4:20) The Axiom Schema of Comprehension: (6:15) The Axiom of Pair (12:16) The Axiom of Union (15:15) T

From playlist Axiomatic Set Theory

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Introduction to Sets and Set Notation

This video defines a set, special sets, and set notation.

From playlist Sets (Discrete Math)

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What is the Power Set of the Empty Set? | Set Theory

What is the power set of the empty set? We will answer this question in today’s math lesson! We will write the empty set like so: { }. Recall that the power set of a set A is the set containing all subsets of A. So, for example, P({ 1 }) = { { }, { 1 } }. Also, recall that if the cardinali

From playlist Set Theory

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SUBSETS AND POWER SETS - DISCRETE MATHEMATICS

Today we look at subsets and power sets. This includes the empty set, and the power set of the empty set. Support me on Patreon: http://bit.ly/2EUdAl3 Visit my website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.y

From playlist Discrete Math 1

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What is Set Subtraction?

What is set subtraction? In this video we go over that, the set minus set operation, and an example of subtraction in set theory. This is a handy concept to grasp to understand the complement of a set and universal sets, which I also have videos on. Links below. I hope you find this vide

From playlist Set Theory

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Find All Subsets of a Set (Example Problems) | Set Theory Exercises

How do you find all subsets of a given set? We go over eight subset example problems in today's lesson, including sets with the empty set, the empty set itself, sets with strange elements like the real numbers and the rationals, and more. We also briefly mention power sets, and the number

From playlist Set Theory

Related pages

Lyapunov exponent | Complex plane | Julia set | Monic polynomial | Hypocycloid | Recursion | Mandelbrot set