A polynomial that is a statistical prism

Osborne, Mark J and Osborne, Michael J (2003) A polynomial that is a statistical prism. Mathematical Gazette, 87 (508). pp. 76-85.

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The roots of a polynomial can be represented as points in the complex plane. The time value of money (TVM) equation commonly used in finance is a polynomial. Concepts from financial mathematics can be obtained from the pattern of the roots of the TVM equation. The concepts are given in terms of distances between the roots and other salient points in the plane. This note shows that this particular polynomial, and the technique, can be applied more generally. When a series of data is fed into the coefficients of the polynomial, the mean and standard deviation of the data are seen in the complex plane as combinations of distances between the roots and other salient points. The results are aesthetically pleasing as well as mathematically interesting.

Item Type: Article
Schools and Departments: University of Sussex Business School > Business and Management
Depositing User: Michael Osborne
Date Deposited: 06 Feb 2012 19:38
Last Modified: 23 Mar 2012 12:01
URI: http://sro.sussex.ac.uk/id/eprint/21584
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