File:EulerPhi100.svg

From formulasearchengine
Jump to navigation Jump to search

Original file(SVG file, nominally 703 × 521 pixels, file size: 48 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 the first 100 values for en:Euler's totient function.

Created with Sage 6.1.1.

Script:

P = (point((t, euler_phi(t)) for t in srange(1,100))
	+ plot(x-1, (x, 0, 100), linestyle="--", color="red", title="Euler's totient function $\\varphi(x)$")
	+ text("$y = x - 1$", (87,94), color="red", fontsize=14)
	)
P.save("EulerPhi100.svg", transparent=True)
Date
Source Own work
Author User:Sverdrup
Other versions Image:EulerPhi100.PNG
 
This diagram was created with SageMath.

Licensing

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.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

14 April 2014

File history

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

Date/TimeThumbnailDimensionsUserComment
current16:08, 14 April 2014Thumbnail for version as of 16:08, 14 April 2014703 × 521 (48 KB)wikimediacommons>SverdrupCorrect the mathematical errors pointed out about the previous version.

The following page uses this file: