File:Gauss Lucas Theorem animation.webm

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Original file ‎(WebM audio/video file, VP9, length 12 s, 1,280 × 720 pixels, 1.99 Mbps overall, file size: 2.85 MB)

Captions

Captions

Illustration of Gauss Lucas theorem, displaying the evolution of the roots of the derivatives of a polynomial.

Summary

[edit]
Description
English: The Gauss Lucas theorem (https://en.wikipedia.org/wiki/Gauss%E2%80%93Lucas_theorem) states that the roots of derivative of a polynomial belongs to the convex hull of the roots of the polynomial. This figure shows how these roots (and those of higher order derivative) evolves when the roots of the initial polynomial are animated.
Date
Source Own work
Author Gpeyre

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
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You are free:
  • to share – to copy, distribute and transmit the work
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Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

File history

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Date/TimeThumbnailDimensionsUserComment
current12:04, 19 April 202012 s, 1,280 × 720 (2.85 MB)Gpeyre (talk | contribs)Uploaded own work with UploadWizard

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Transcode status

Update transcode status
Format Bitrate Download Status Encode time
VP9 720P 2.41 Mbps Completed 12:05, 19 April 2020 47 s
Streaming 720p (VP9) 2.41 Mbps Completed 16:54, 27 March 2024 1.0 s
VP9 480P 1.24 Mbps Completed 12:05, 19 April 2020 36 s
Streaming 480p (VP9) 1.24 Mbps Completed 12:35, 12 March 2024 1.0 s
VP9 360P 645 kbps Completed 12:05, 19 April 2020 31 s
Streaming 360p (VP9) Not ready Unknown status
VP9 240P 342 kbps Completed 12:05, 19 April 2020 29 s
Streaming 240p (VP9) 343 kbps Completed 00:55, 22 December 2023 1.0 s
WebM 360P 579 kbps Completed 12:04, 19 April 2020 11 s
Streaming 144p (MJPEG) 1.08 Mbps Completed 00:42, 14 November 2023 2.0 s

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