Which Mean do you Mean? An Exposition on Means

The objective of this thesis is to give a brief exposition on the theory of means. In Greek mathematics, means are intermediate values between two extremes, while in modern mathematics, a mean is a measure of the central tendency for a set of numbers. We begin by exploring the origin of the antique...

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Main Author:	Faradj, Mabrouck K.
Other Authors:	David Kirshner
Format:	Others
Language:	en
Published:	LSU 2004
Subjects:	Mathematics
Online Access:	http://etd.lsu.edu/docs/available/etd-07082004-091436/

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spelling	ndltd-LSU-oai-etd.lsu.edu-etd-07082004-0914362013-01-07T22:49:24Z Which Mean do you Mean? An Exposition on Means Faradj, Mabrouck K. Mathematics The objective of this thesis is to give a brief exposition on the theory of means. In Greek mathematics, means are intermediate values between two extremes, while in modern mathematics, a mean is a measure of the central tendency for a set of numbers. We begin by exploring the origin of the antique means and list the classical means. Next, we present an overview of the theories of binary means and n-ary means. We include a general discussion on axiomatic systems for means and present theorems on properties that characterize the most common types of means. David Kirshner Stephen Shipman James Madden LSU 2004-07-08 text application/pdf http://etd.lsu.edu/docs/available/etd-07082004-091436/ http://etd.lsu.edu/docs/available/etd-07082004-091436/ en unrestricted I hereby certify that, if appropriate, I have obtained and attached herein a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to LSU or its agents the non-exclusive license to archive and make accessible, under the conditions specified below and in appropriate University policies, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.
collection	NDLTD
language	en
format	Others
sources	NDLTD
topic	Mathematics
spellingShingle	Mathematics Faradj, Mabrouck K. Which Mean do you Mean? An Exposition on Means
description	The objective of this thesis is to give a brief exposition on the theory of means. In Greek mathematics, means are intermediate values between two extremes, while in modern mathematics, a mean is a measure of the central tendency for a set of numbers. We begin by exploring the origin of the antique means and list the classical means. Next, we present an overview of the theories of binary means and n-ary means. We include a general discussion on axiomatic systems for means and present theorems on properties that characterize the most common types of means.
author2	David Kirshner
author_facet	David Kirshner Faradj, Mabrouck K.
author	Faradj, Mabrouck K.
author_sort	Faradj, Mabrouck K.
title	Which Mean do you Mean? An Exposition on Means
title_short	Which Mean do you Mean? An Exposition on Means
title_full	Which Mean do you Mean? An Exposition on Means
title_fullStr	Which Mean do you Mean? An Exposition on Means
title_full_unstemmed	Which Mean do you Mean? An Exposition on Means
title_sort	which mean do you mean? an exposition on means
publisher	LSU
publishDate	2004
url	http://etd.lsu.edu/docs/available/etd-07082004-091436/
work_keys_str_mv	AT faradjmabrouckk whichmeandoyoumeananexpositiononmeans
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Which Mean do you Mean? An Exposition on Means

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