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About: Riemann Area Optimization and Histogram Construction

Module by: Leif Anderson

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Name: Riemann Area Optimization and Histogram Construction
ID: m13108
Language: English (en)
Summary: The purpose of this module is to assist histogram design. The module presents an integral in terms of the Riemann sum equation for finding the area of a data-set. It builds on an associative technique (from a discrete to continuous function) suggested by the sub-interval in the delta-x and bin number in the histogram. The resulting area spectrum contains possible areas and an actual area for a data-set. The module concludes with statements on the possible optimization of the integral by calculating the actual area. Building a histogram in this way may imply compression qualities for variance in the data-set frequency distribution.
Subject: Mathematics and Statistics
Keywords: Area, Frequency Distribution, Histogram, Optimization, Riemann, Statistical Analysis
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License (CC-BY 2.0)
Authors: Leif Anderson (lfanders@mail.uh.edu)
Copyright Holders: Leif Anderson (lfanders@mail.uh.edu)
Maintainers: Leif Anderson (lfanders@mail.uh.edu)
Version: 1.4 (history)
Created: Oct 18, 2005 8:05 pm GMT-5
Revised: Nov 30, 2005 7:01 pm US/Central

Version History

Version: 1.4 Nov 30, 2005 7:01 pm US/Central by Leif Anderson
Changes: 
 Misc.
Version: 1.3 Nov 16, 2005 1:12 am US/Central by Leif Anderson
Changes: 
 fixed URL link for 'reiteration'
Version: 1.2 Nov 16, 2005 1:09 am US/Central by Leif Anderson
Changes: 
 fixed 'reiteration' link
Version: 1.1 Nov 16, 2005 12:52 am US/Central by Leif Anderson
Changes: 
all points verified (11/16/05)

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American Chemical Society (ACS) Style Guide:

Anderson, L. Riemann Area Optimization and Histogram Construction, Connexions Web site. http://cnx.org/content/m13108/1.4/, Nov 30, 2005.

American Medical Assocation (AMA) Manual of Style:

Anderson L. Riemann Area Optimization and Histogram Construction [Connexions Web site]. November 30, 2005. Available at: http://cnx.org/content/m13108/1.4/.

American Psychological Assocation (APA) Publication Manual:

Anderson, L. (2005, November 30). Riemann Area Optimization and Histogram Construction. Retrieved from the Connexions Web site: http://cnx.org/content/m13108/1.4/

Chicago Manual of Style (Bibliography):

Anderson, Leif. "Riemann Area Optimization and Histogram Construction." Connexions. November 30, 2005. http://cnx.org/content/m13108/1.4/.

Chicago Manual of Style (Note):

Leif Anderson, "Riemann Area Optimization and Histogram Construction," Connexions, November 30, 2005, http://cnx.org/content/m13108/1.4/.

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

Anderson, L. 2005. Riemann Area Optimization and Histogram Construction. Connexions, November 30, 2005. http://cnx.org/content/m13108/1.4/.

Modern Languages Association (MLA) Style Manual:

Anderson, Leif. Riemann Area Optimization and Histogram Construction. Connexions. 30 Nov. 2005 <http://cnx.org/content/m13108/1.4/>.