File:E-to-the-i-pi.svg

Size of this PNG preview of this SVG file: 512 × 453 pixels. Other resolutions: 271 × 240 pixels | 543 × 480 pixels | 868 × 768 pixels | 1,157 × 1,024 pixels | 2,315 × 2,048 pixels.

Original file (SVG file, nominally 512 × 453 pixels, file size: 2 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

DescriptionE-to-the-i-pi.svg	English: Stub image for the Math-stub template on Wikipedia. Shows part of Euler's identity. Image made by myself in en:Inkscape. Provides a vector version for Image:E-to-the-i-pi.png. Because it uses no fonts, should render up in any system.
Date	21 March 2006 (original upload date)
Source	No machine-readable source provided. Own work assumed (based on copyright claims).
Author	No machine-readable author provided. Dermeister assumed (based on copyright claims).

Relation to Euler's formula

This mathematical term forms part of an identity, a special case of Euler's formula, written $e^{ix}=\cos(x)+i\sin(x)$ . Setting $x$ to a value of $\pi$ , as with the above term, Euler's formula reduces to a famous equation relating seven important mathematical symbols (and none that are unimportant!), namely $e^{i\pi }+1=0$ .

Licensing

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

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.

	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.
	This licensing tag was added to this file as part of the GFDL licensing update.CC BY-SA 3.0truetrue

This file is licensed under the Creative Commons Attribution 2.5 Generic 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.

You may select the license of your choice.

File history

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

	Date/Time	Dimensions	User	Comment
current	20:00, 27 August 2023	512 × 453 (2 KB)	Andrew Pertsev	svg code reduction
	22:16, 24 February 2009	320 × 283 (11 KB)	Камень	Pazl
	18:01, 9 May 2007	320 × 283 (4 KB)	Sven	background color fix
	09:53, 27 August 2006	320 × 283 (4 KB)	Fibonacci	Simplified code (too bad IE doesn't support PNG transparency, I could have removed the background as well).
	15:42, 17 June 2006	354 × 354 (8 KB)	Mets501	Removed transparant background because it was rendering really ugly in Internet Explorer.
	22:31, 21 March 2006	354 × 354 (7 KB)	Dermeister	Image made by myself in en:Inkscape. Provides a vector version for E-to-the-i-pi.png. {{CC-BY}}