Baker, RD 2014, 'Mathematical modelling with generalised logarithm and exponential functions' , Mathematics Today, 50 (2) , pp. 98-101.
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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.
|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|
|Funders:||Non funded research|
|Depositing User:||Prof Rose Dawn Baker|
|Date Deposited:||08 Apr 2014 17:13|
|Last Modified:||08 Nov 2015 23:04|
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