File:Stationary vs inflection pts.svg

From formulasearchengine
Jump to navigation Jump to search

Original file ‎(SVG file, nominally 479 × 297 pixels, file size: 32 KB)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Summary

Description
English: Graph of and shows stationary points (red circles) and inflection points (blue squares). The stationary points in this graph are all relative maxima or relative minima.
Date
Source

Mathematica source code: 

f := #1 + Sin[2 #1] &;
inflectionPoints = Table[{x, f[x]}, {x, -Pi, Pi, Pi/2}];
stationaryPoints = Union[Table[{x, f[x]}, {x, -2 Pi/3, Pi/3, Pi}], Table[{x, f[x]}, {x, -Pi/3, 2 Pi/3, Pi}]];
Show[Plot[f[x], {x, -Pi - 1, Pi + 1}], ListPlot[{stationaryPoints, inflectionPoints}, PlotMarkers -> {{Graphics@{Red, Disk[]}, 0.05}, {Graphics@{Blue, Rectangle[]}, 0.05}}], ImageSize -> 500]

After saving the image as an SVG from Mathematica, edit the raw SVG text by adding "width='479' height='297'" to the end of the SVG tag.
Author Self (with some Mathematica help)
SVG development
InfoField
 
The SVG code is valid.
 
This trigonometry was created with Mathematica.
 
This trigonometry uses embedded text/digits.

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
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.
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.
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

inception

19 October 2011

File history

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

Date/TimeThumbnailDimensionsUserComment
current17:48, 19 October 2011Thumbnail for version as of 17:48, 19 October 2011479 × 297 (32 KB)wikimediacommons>Bender2k14Added default image dimensions

The following page uses this file:

Retrieved from "https://en.formulasearchengine.com/wiki/File:Stationary_vs_inflection_pts.svg"