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Original file (WebM audio/video file, VP9/Opus, length 4 min 32 s, 1,080 × 720 pixels, 551 kbps overall, file size: 17.88 MB)
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Summary
| Description |
English: The animation gives four perspectives of a converging complex Fourier series as more terms are added. 1) The front plane shows a two arm aggregation of series terms where one arm is the sum of the positive rotating terms and the other arm is the sum of the negative rotating terms. 2) The back plane shows a one arm zigzag aggregation of series terms where positive and negative rotating terms are added as pairs producing the zigzag appearance. 3) The intermediate planes (trapezoid baseline) show the frequency and phase information as rotating trapezoids representing individually scaled and rotating terms of the complex geometric series. 4) The audio is what those rotating trapezoids would sound like if they were rotating 3530 times faster. |
| Date | |
| Source | Own work |
| Author | Greg Sepesi |
The Julia source code for generating the frames of the animation are in the appendix of the essay Zeno's Enduring Example at https://towardsdatascience.com/zenos-illustrative-example-bb371b99f25a?source=friends_link&sk=8a6f90c96adf5b4a28d223a4a0db7350
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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This file was uploaded as part of Wiki Science Competition 2021. |
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 17:07, 28 December 2021 | 4 min 32 s, 1,080 × 720 (17.88 MB) | Gj7 | Uploaded own work with UploadWizard |
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