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About: Karhunen-Loeve Expansion

Module by: Don Johnson. E-mail the author

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Name: Karhunen-Loeve Expansion
ID: m11259
Language: English (en)
Subject: Science and Technology
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 1.0

Authors: Don Johnson (
Copyright Holders: Don Johnson (
Maintainers: Jeffrey Silverman (, Kevin Duh (, Elizabeth Gregory (, Don Johnson (, Eileen Krause (, Mariyah Poonawala (, Matthew Jeanes (, Kyle Clarkson (

Latest version: 1.3 (history)
First publication date: May 21, 2003 7:00 pm -0500
Last revision to module: Aug 8, 2003 5:44 pm -0500


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XML: m11259_1.3.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.
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Version History

Version: 1.3 Aug 8, 2003 5:44 pm -0500 by Charlet Reedstrom
fixed typos, fixed markup of 2nd derivative, added equation tags

Version: 1.2 Jul 7, 2003 12:00 am -0500 by Elizabeth Gregory
Adding Jeff as a maintainer

Version: 1.1 Jun 10, 2003 12:00 am -0500 by Elizabeth Gregory
adding Jeff as a maintainer (document not completed)

How to Reuse and Attribute This Content

If you derive a copy of this content using a OpenStax_CNX account and publish your version, proper attribution of the original work will be automatically done for you.

If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 1.0), you must include

  • the authors' names: Don Johnson
  • the title of the work: Karhunen-Loeve Expansion
  • the OpenStax_CNX URL where the work can be found:

See the citation section below for examples you can copy.

How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 1.0) of this work:

American Chemical Society (ACS) Style Guide:

Johnson, D. Karhunen-Loeve Expansion, OpenStax_CNX Web site., Aug 8, 2003.

American Medical Assocation (AMA) Manual of Style:

Johnson D. Karhunen-Loeve Expansion [OpenStax_CNX Web site]. August 8, 2003. Available at:

American Psychological Assocation (APA) Publication Manual:

Johnson, D. (2003, August 8). Karhunen-Loeve Expansion. Retrieved from the OpenStax_CNX Web site:

Chicago Manual of Style (Bibliography):

Johnson, Don. "Karhunen-Loeve Expansion." OpenStax_CNX. August 8, 2003.

Chicago Manual of Style (Note):

Don Johnson, "Karhunen-Loeve Expansion," OpenStax_CNX, August 8, 2003,

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

Johnson, D. 2003. Karhunen-Loeve Expansion. OpenStax_CNX, August 8, 2003.

Modern Languages Association (MLA) Style Manual:

Johnson, Don. Karhunen-Loeve Expansion. OpenStax_CNX. 8 Aug. 2003 <>.