File:Distance function animation.gif

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Original file (800 × 800 pixels, file size: 115 KB, MIME type: image/gif, looped, 6 frames, 6.0 s)

Summary

Description
English: The visualization was made in the R environment. The value r = 1 yields Manhattan distance and r = 2 is the usual Pythagorean distance. [1]
Date
Source Own work
Author Ldecola

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

  1. ↑ (2022) The big bang of numbers : how to build the universe using only math. New York, NY, W.W. Norton & Company, p.347, New York NY: W.W. Norton & Company, p. 347 ISBN: 1324065931.

Captions

Animation using a heatmap to visualize the function d(x, y) = (abs(x)^r + abs(y)^r)^(1/r) for various values of r., where d(x, y) is the distance from (0,0) to the point with cartesian coordinates (x, y).

Items portrayed in this file

depicts

metric function

animation

distance

inception

11 August 2024

media type

image/gif

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current19:58, 11 August 2024Thumbnail for version as of 19:58, 11 August 2024800 × 800 (115 KB)wikimediacommons>LdecolaUploaded own work with UploadWizard

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