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About: Phasors: Beating between Tones

Module by: Louis Scharf. E-mail the author

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Name: Phasors: Beating between Tones
ID: m21468
Language: English (en)
Subject: Mathematics and Statistics
Keywords: beating, electrical engineering, engineering, phasors
License: Creative Commons Attribution License CC-BY 3.0

Authors: Louis Scharf (
Copyright Holders: Louis Scharf (
Maintainers: Louis Scharf (, Daniel Williamson (, C. Sidney Burrus (, Richard Baraniuk (

Latest version: 1.6 (history)
First publication date: Feb 27, 2009 12:26 am -0600
Last revision to module: Sep 17, 2009 10:47 am -0500


PDF: m21468_1.6.pdf PDF file, for viewing content offline and printing. Learn more.
XML: m21468_1.6.cnxml XML that defines the structure and contents of the module, minus any included media files. Can be reimported in the editing interface. Learn more.

Version History

Version: 1.6 Sep 17, 2009 10:47 am -0500 by Daniel Williamson
added google analytics tracking code

Version: 1.5 Jul 7, 2009 10:46 am -0500 by Daniel Williamson
accessibility, images, and link fixes

Version: 1.4 May 27, 2009 1:28 pm -0500 by Daniel Williamson
links added, images updated

Version: 1.3 Apr 12, 2009 1:18 am -0500 by Daniel Williamson
added disclaimer

Version: 1.2 Apr 8, 2009 2:59 pm -0500 by Kyle Barnhart
Improved image quality for web PNGs.

Version: 1.1 Apr 7, 2009 5:24 pm -0500 by Louis Scharf
init pub

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American Chemical Society (ACS) Style Guide:

Scharf, L. Phasors: Beating between Tones, OpenStax-CNX Web site., Sep 17, 2009.

American Medical Assocation (AMA) Manual of Style:

Scharf L. Phasors: Beating between Tones [OpenStax-CNX Web site]. September 17, 2009. Available at:

American Psychological Assocation (APA) Publication Manual:

Scharf, L. (2009, September 17). Phasors: Beating between Tones. Retrieved from the OpenStax-CNX Web site:

Chicago Manual of Style (Bibliography):

Scharf, Louis. "Phasors: Beating between Tones." OpenStax-CNX. September 17, 2009.

Chicago Manual of Style (Note):

Louis Scharf, "Phasors: Beating between Tones," OpenStax-CNX, September 17, 2009,

Chicago Manual of Style (Reference, in Author-Date style):

Scharf, L. 2009. Phasors: Beating between Tones. OpenStax-CNX, September 17, 2009.

Modern Languages Association (MLA) Style Manual:

Scharf, Louis. Phasors: Beating between Tones. OpenStax-CNX. 17 Sep. 2009 <>.