Fractals | Dimension theory

Box counting

Box counting is a method of gathering for analyzing complex patterns by breaking a dataset, object, image, etc. into smaller and smaller pieces, typically "box"-shaped, and analyzing the pieces at each smaller scale. The essence of the process has been compared to zooming in or out using optical or computer based methods to examine how observations of detail change with scale. In box counting, however, rather than changing the magnification or resolution of a lens, the investigator changes the used to inspect the object or pattern (see ). Computer based box counting algorithms have been applied to patterns in 1-, 2-, and 3-dimensional spaces. The technique is usually implemented in software for use on patterns from digital media, although the can be used to investigate some patterns physically. The technique arose out of and is used in fractal analysis. It also has application in related fields such as lacunarity and multifractal analysis. (Wikipedia).

Box counting
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From playlist Physics

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Statistics - How to make a box and whisker plot

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From playlist Statistics

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Microsoft Excel lesson 5 - count and countif functions

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From playlist Microsoft Excel tutorials

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From playlist Mathematics General Interest

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Excel Magic Trick 1156: Count with Two Conditions / Criteria From Non-Proper Data Set (2 Methods)

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From playlist Excel Series: Magic Tricks (6th 200 videos)

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From playlist Statistics Playlist 1

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Excel Magic Trick 658: COUNT Vs. COUNTA function

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From playlist Excel Series: Magic Tricks (4th 200 videos)

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Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Find the Five Number Summary and Create a Boxplot in StatCrunch

From playlist Statistics

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PROG2006: Rust - smart pointers

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From playlist PROG2006 - Programming

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From playlist Analysis and its Applications

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Tying up some loose ends

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From playlist Space trees and stuff

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From playlist 23C3: Who can you trust

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From playlist Rust Atomics and Locks 같이 읽기

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From playlist PROG2006 - Programming

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From playlist Recent Developments in S-matrix Theory (Online)

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Eureka Math Grade 5 Module 5 Lesson 2

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From playlist Eureka Math Grade 5 Module 5

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Stanford Lecture: Advanced TeXarcana - Session 5 (March 6, 1981)

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From playlist Donald Knuth Lectures

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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

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PivotTable or FREQUENCY function? How They Are Different For Counting Numbers Excel Magic Trick 1720

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From playlist Excel Accounting Playlist Of Videos

Related pages

Lacunarity | Fractal analysis | Minkowski–Bouligand dimension | Digital image | Fractal | Fractal dimension