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the very game

A Tutorial on Mathematical Modeling

Michael P. McLaughlin

www.geocities.com/~mikemclaughlin© Dr. Michael P. McLaughlin

1993-1999

This tutorial is distributed free of charge and may neither be sold nor repackaged for sale in

whole or in part.

Macintosh is a registered trademark of Apple Computer, Inc.

iiPREFACE

“OK, I’ve got some data. Now what?”

It is the quintessence of science, engineering, and numerous other disciplines to make

quantitative observations, record them, and then try to make some sense out of the resulting

dataset. Quite often, the latter is an easy task, due either to practiced familiarity with the

domain or to the fact that the goals of the exercise are undemanding. However, when working

at the frontiers of knowledge, this is not the case. Here, one encounters unknown territory,

with maps that are sometimes poorly defined and always incomplete.

The question posed above is nontrivial; the path from observation to understanding is, in

general, long and arduous. There are techniques to facilitate the journey but these are seldom

taught to those who need them most. My own observations, over the past twenty years, have

disclosed that, if a functional relationship is nonlinear, or a probability distribution something

other than Gaussian, Exponential, or Uniform, then analysts (those who are not statisticians)

are usually unable to cope. As a result, approximations are made and reports delivered

containing conclusions that are ...

A Tutorial on Mathematical Modeling

Michael P. McLaughlin

www.geocities.com/~mikemclaughlin© Dr. Michael P. McLaughlin

1993-1999

This tutorial is distributed free of charge and may neither be sold nor repackaged for sale in

whole or in part.

Macintosh is a registered trademark of Apple Computer, Inc.

iiPREFACE

“OK, I’ve got some data. Now what?”

It is the quintessence of science, engineering, and numerous other disciplines to make

quantitative observations, record them, and then try to make some sense out of the resulting

dataset. Quite often, the latter is an easy task, due either to practiced familiarity with the

domain or to the fact that the goals of the exercise are undemanding. However, when working

at the frontiers of knowledge, this is not the case. Here, one encounters unknown territory,

with maps that are sometimes poorly defined and always incomplete.

The question posed above is nontrivial; the path from observation to understanding is, in

general, long and arduous. There are techniques to facilitate the journey but these are seldom

taught to those who need them most. My own observations, over the past twenty years, have

disclosed that, if a functional relationship is nonlinear, or a probability distribution something

other than Gaussian, Exponential, or Uniform, then analysts (those who are not statisticians)

are usually unable to cope. As a result, approximations are made and reports delivered

containing conclusions that are ...

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Published by | Chuwyar |

Reads | 103 |

Language | English |

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