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About: Partial Fraction Expansion

Module by: Thanos Antoulas, JP Slavinsky. E-mail the authors

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Metadata

Name: Partial Fraction Expansion
ID: m2111
Language: English (en)
Summary: This module describes the method of partial fraction expansion, in which a ratio of polynomials can be split into a sum of small polynomials. The Heaviside cover-up method is discussed in detail with examples. Finding a partial fraction expansion in matlab is also discussed.
Subject: Science and Technology
Keywords: cover-up, fraction, heaviside, partial fraction, polynomial, repeated root
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 1.0

Authors: Thanos Antoulas (aca@rice.edu), JP Slavinsky (jps@alumni.rice.edu)
Copyright Holders: Thanos Antoulas (aca@rice.edu), JP Slavinsky (jps@alumni.rice.edu)
Maintainers: JP Slavinsky (jps@alumni.rice.edu), Thanos Antoulas (aca@rice.edu), Roy Ha (rha@alumni.rice.edu), Elizabeth Chan (lizychan@rice.edu)

Latest version: 2.14 (history)
First publication date: Jan 30, 2001 12:00 am -0600
Last revision to module: Nov 24, 2003 1:34 pm -0600

Downloads

PDF: m2111_2.14.pdf PDF file, for viewing content offline and printing. Learn more.
XML: m2111_2.14.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.
Source Export ZIP: m2111_2.14.zip ZIP containing the module XML plus any included media files. Can be reimported in the editing interface. Learn more.

Version History

Version: 2.14 Nov 24, 2003 1:34 pm -0600 by Erin Maloney
Changes:
cnxml 0.5

Version: 2.13 Dec 12, 2002 12:00 am -0600 by (Unknown)
Changes:
- added missing namespaces
- deleted unnecessary Makefile

Version: 2.12 Oct 24, 2002 12:00 am -0500 by (Unknown)
Changes:
update for author

Version: 2.11 Oct 9, 2002 12:00 am -0500 by (Unknown)
Changes:
added author

Version: 2.10 May 24, 2002 12:00 am -0500 by (Unknown)
Changes:
remove mode=inline in the tag of math.
Liqun

Version: 2.9 May 24, 2002 12:00 am -0500 by (Unknown)
Changes:
Fixing some problems:
1> using MathML for simple variables.
2> using hard code for the reference of equations.
3> not suing evaluateat csymbol for the form |x=a.
4> using <m:ci>r-1</m:ci> in the sub part instead of <m:mrow><m:mi>r</m:mi><m:mo>-</m:mo><m:mn>1</m:mn>
Liqun

Version: 2.8 Apr 5, 2002 12:00 am -0600 by (Unknown)
Changes:
added an honorific tag and checked for best practices

Version: 2.7 Apr 5, 2002 12:00 am -0600 by (Unknown)
Changes:
added an honorific tag and checked for best practices

Version: 2.6 Jan 9, 2002 12:00 am -0600 by (Unknown)
Changes:
used Emacs to indent source code

Version: 2.5 Nov 8, 2001 12:00 am -0600 by (Unknown)
Changes:
updated this module from 0.3 to 0.3.5 by adding the metadata tags and corrected anything else that caused trouble to converting this module into pdf file

Version: 2.4 Jun 5, 2001 12:00 am -0500 by (Unknown)
Changes:
Added keyword

Version: 2.3 Jun 5, 2001 12:00 am -0500 by (Unknown)
Changes:
Added abstract

Version: 2.2 Jun 5, 2001 12:00 am -0500 by (Unknown)
Changes:
Updated to cnxml ver 0.3

Version: 2.1 Jun 4, 2001 12:00 am -0500 by (Unknown)
Changes:
Sample text

Version: 2.0 Jan 30, 2001 12:00 am -0600 by Brent Hendricks
Changes:
Bumped version to 2.0

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  • the authors' names: Thanos Antoulas, John Slavinsky
  • the title of the work: Partial Fraction Expansion
  • the OpenStax-CNX URL where the work can be found: http://cnx.org/content/m2111/2.14/

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:

Antoulas, T.; Slavinsky, J. Partial Fraction Expansion, OpenStax-CNX Web site. http://cnx.org/content/m2111/2.14/, Nov 24, 2003.

American Medical Assocation (AMA) Manual of Style:

Antoulas T, Slavinsky J. Partial Fraction Expansion [OpenStax-CNX Web site]. November 24, 2003. Available at: http://cnx.org/content/m2111/2.14/.

American Psychological Assocation (APA) Publication Manual:

Antoulas, T., & Slavinsky, J. (2003, November 24). Partial Fraction Expansion. Retrieved from the OpenStax-CNX Web site: http://cnx.org/content/m2111/2.14/

Chicago Manual of Style (Bibliography):

Antoulas, Thanos, and John Slavinsky. "Partial Fraction Expansion." OpenStax-CNX. November 24, 2003. http://cnx.org/content/m2111/2.14/.

Chicago Manual of Style (Note):

Thanos Antoulas and John Slavinsky, "Partial Fraction Expansion," OpenStax-CNX, November 24, 2003, http://cnx.org/content/m2111/2.14/.

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

Antoulas, T., & Slavinsky, J. 2003. Partial Fraction Expansion. OpenStax-CNX, November 24, 2003. http://cnx.org/content/m2111/2.14/.

Modern Languages Association (MLA) Style Manual:

Antoulas, Thanos, and John Slavinsky. Partial Fraction Expansion. OpenStax-CNX. 24 Nov. 2003 <http://cnx.org/content/m2111/2.14/>.