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About: DFT: Computational Complexity

Module by: Don Johnson

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Name: DFT: Computational Complexity
ID: m0503
Language: English (en)
Summary: A brief explanation of calculation complexity and how the complexity of the discrete Fourier transform is order N squared.
Subject: Mathematics and Statistics, Science and Technology
Keywords: computational complexity, discrete fourier transform
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License (CC-BY 1.0)

Authors: Don Johnson (dhj@rice.edu)
Copyright Holders: Don Johnson (dhj@rice.edu)
Maintainers: CJ Ganier (seejaie@rice.edu), Don Johnson (dhj@rice.edu), John Cottrell (jac3@rice.edu)

Version: 2.11 (history)
Created: Jul 18, 2000 12:00 am GMT-5
Revised: Apr 13, 2005 9:22 am GMT-5

Version History

Version: 2.11 Apr 13, 2005 9:22 am GMT-5 by Charlet Reedstrom
Changes:
update to cnxml-0.5, update mathml

Version: 2.10 Jul 27, 2003 3:59 pm GMT-5 by Don Johnson
Changes:
Fixed intermodule link errors.

Version: 2.9 Nov 20, 2002 12:00 am US/Central by (Unknown)
Changes:
Fixed typos.

Version: 2.8 Aug 13, 2002 12:00 am GMT-5 by (Unknown)
Changes:
Upgraded to 0.4.

Version: 2.7 Aug 3, 2002 12:00 am GMT-5 by (Unknown)
Changes:
fixed some typos.

Version: 2.6 Apr 19, 2002 12:00 am GMT-5 by (Unknown)
Changes:
audited for mathml and cnxml errors

Version: 2.5 Sep 11, 2001 12:00 am GMT-5 by Brent Hendricks
Changes:
Converted to CNXML 0.3.5

Version: 2.4 Aug 22, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Made O() a function

Version: 2.3 Jul 17, 2001 12:00 am GMT-5 by (Unknown)
Changes:
added keywords
made John Cottrell a maintainer
fixed minor errors

Version: 2.2 Jun 5, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Corrected big O notation to be a presentation ML notation rather than a function in Content ML.  Also fixed some capitalization.

Version: 2.1 May 31, 2001 12:00 am GMT-5 by (Unknown)
Changes:
Replaced some emphasis with term.

Version: 2.0 Oct 17, 2000 12:00 am GMT-5 by Brent Hendricks
Changes:
Bumped version to 2.0

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  • the authors' names: Don Johnson
  • the title of the work: DFT: Computational Complexity
  • the Connexions URL where the work can be found: http://cnx.org/content/m0503/2.11/

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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. DFT: Computational Complexity, Connexions Web site. http://cnx.org/content/m0503/2.11/, Apr 13, 2005.

American Medical Assocation (AMA) Manual of Style:

Johnson D. DFT: Computational Complexity [Connexions Web site]. April 13, 2005. Available at: http://cnx.org/content/m0503/2.11/.

American Psychological Assocation (APA) Publication Manual:

Johnson, D. (2005, April 13). DFT: Computational Complexity. Retrieved from the Connexions Web site: http://cnx.org/content/m0503/2.11/

Chicago Manual of Style (Bibliography):

Johnson, Don. "DFT: Computational Complexity." Connexions. April 13, 2005. http://cnx.org/content/m0503/2.11/.

Chicago Manual of Style (Note):

Don Johnson, "DFT: Computational Complexity," Connexions, April 13, 2005, http://cnx.org/content/m0503/2.11/.

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

Johnson, D. 2005. DFT: Computational Complexity. Connexions, April 13, 2005. http://cnx.org/content/m0503/2.11/.

Modern Languages Association (MLA) Style Manual:

Johnson, Don. DFT: Computational Complexity. Connexions. 13 Apr. 2005 <http://cnx.org/content/m0503/2.11/>.