File:Fourier series for trig poly high degree.gif

Fourier_series_for_trig_poly_high_degree.gif(480 × 360 pixels, file size: 19 KB, MIME type: image/gif, looped, 48 frames, 26 s)

Summary

Description
English: This shows the Fourier series converging to a the trigonometric polynomial . The convergence is exact, but it takes many coefficients to get there.
Date
Source Own work
Author Thenub314
 
This diagram was created with Mathematica.

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
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.
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
You may select the license of your choice.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

15 November 2010

File history

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

Date/TimeThumbnailDimensionsUserComment
current18:58, 15 November 2010Thumbnail for version as of 18:58, 15 November 2010480 × 360 (19 KB)Thenub314{{Information |Description={{en|1=This shows the Fourier series converging to a the trigonometric polynomial <math>f(x)=5sin(x)cos^2(2x)+sin^{14}(12x)</math>. The convergence is exact, but it takes many coefficients to get there.}} |Source={{own}} |Autho

The following page uses this file: