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Mathematical modelling with generalised logarithm and exponential functions

Baker, RD 2014, 'Mathematical modelling with generalised logarithm and exponential functions' , Mathematics Today, 50 (2) , pp. 98-101.

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Abstract

That `elementary transcendental function', the logarithm, is a very familiar function, that we learn early on, and I can still recall a mathematics teacher at school telling the class solemnly that `all logarithms are indices'. It seemed like a Zen koan at the time, but we were soon equipped with log tables and wrestling with the mysteries of the `bar' notation. A lost art to the youth of today who merely have to press the `ln' button on their calculator. Quite a few years on it seemed a good idea to try to generalise the logarithm and its inverse function, the exponential, by adding a parameter. From a practical viewpoint, this would mean that any model including logarithms or exponentials could be immediately generalised in the attempt to fit data better.

Item Type: Article
Themes: Subjects outside of the University Themes
Schools: Schools > Salford Business School
Schools > Salford Business School > Business and Management Research Centre
Journal or Publication Title: Mathematics Today
Publisher: Institute of Mathematics and its Applications
Refereed: Yes
ISSN: 1361-2042
Funders: Non funded research
Depositing User: Prof Rose Dawn Baker
Date Deposited: 08 Apr 2014 17:13
Last Modified: 08 Nov 2015 23:04
URI: http://usir.salford.ac.uk/id/eprint/31157

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