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About: Cauchy-Schwarz Inequality

Module by: Michael Haag, Justin Romberg

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Name: Cauchy-Schwarz Inequality
ID: m10757
Language: English (en)
Summary: This module defines the Cauchy-Schwarz Inequality and discusses some of its practical usefulness, especially in the Matched filter detector. Also, we will prove the CSI for real vector spaces.
Subject: Mathematics and Statistics, Science and Technology
Keywords: cauch-schwarz, cauchy, cauchy-schwarz inequality, csi, cuachy, frequency shift keying, fsk, hilbert, inner product, inner products, matched filter, matched filter detector, matched filters, schwarz
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License (CC-BY 1.0)
Authors: Michael Haag (mjhaag@gmail.com), Justin Romberg (jrom@ece.gatech.edu)
Copyright Holders: Michael Haag (mjhaag@gmail.com), Justin Romberg (jrom@ece.gatech.edu)
Maintainers: Justin Romberg (jrom@ece.gatech.edu), Richard Baraniuk (richb@rice.edu), Michael Haag (mjhaag@gmail.com), Mariyah Poonawala (mariyah@rice.edu), Prashant Singh (prash@ece.rice.edu)
Version: 2.5 (history)
Created: Jul 25, 2002 12:00 am GMT-5
Revised: Jun 23, 2005 9:33 pm GMT-5

Version History

Version: 2.5 Jun 23, 2005 9:33 pm GMT-5 by Charlet Reedstrom
Changes: 
update to cnxml-0.5, wrap msub in ci, add cnxns to figs, fix typo
Version: 2.4 Feb 7, 2004 11:22 pm US/Central by Richard Baraniuk
Changes: 
 fixed linear INdependent to linearly dependent around CSI.
thanks to Kimon Ioannides <krsgpsdf@klhi.net>
Version: 2.3 Jul 9, 2003 2:05 pm GMT-5 by Charlet Reedstrom
Changes: 
addmaintainers
Version: 2.2 Sep 6, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
Fixed proof in last section.
Version: 2.1 Jul 29, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
New module created.  Verified printing.
Version: 2.0 Jul 25, 2002 12:00 am GMT-5 by (Unknown)
Changes: 
Added initial template for new module m10757

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American Chemical Society (ACS) Style Guide:

Haag, M.; Romberg, J. Cauchy-Schwarz Inequality, Connexions Web site. http://cnx.org/content/m10757/2.5/, Jun 23, 2005.

American Medical Assocation (AMA) Manual of Style:

Haag M, Romberg J. Cauchy-Schwarz Inequality [Connexions Web site]. June 23, 2005. Available at: http://cnx.org/content/m10757/2.5/.

American Psychological Assocation (APA) Publication Manual:

Haag, M., & Romberg, J. (2005, June 23). Cauchy-Schwarz Inequality. Retrieved from the Connexions Web site: http://cnx.org/content/m10757/2.5/

Chicago Manual of Style (Bibliography):

Haag, Michael, and Justin Romberg. "Cauchy-Schwarz Inequality." Connexions. June 23, 2005. http://cnx.org/content/m10757/2.5/.

Chicago Manual of Style (Note):

Michael Haag and Justin Romberg, "Cauchy-Schwarz Inequality," Connexions, June 23, 2005, http://cnx.org/content/m10757/2.5/.

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

Haag, M., & Romberg, J. 2005. Cauchy-Schwarz Inequality. Connexions, June 23, 2005. http://cnx.org/content/m10757/2.5/.

Modern Languages Association (MLA) Style Manual:

Haag, Michael, and Justin Romberg. Cauchy-Schwarz Inequality. Connexions. 23 June 2005 <http://cnx.org/content/m10757/2.5/>.