# Meaning of 'Field'

March 25th Fact-of-the-DayThe term 'field'
is very familiar to everyone who has studied technical aspects
of radio. Beginners read about magnetic, electric, and electromagnetic
fields. Those with more advanced knowledge frequently refer to those same
fields in routine discussions with each other. Even so, many do not know
what the term actually means and, because of that, tend to think fields
are mysterious. A mystery is by definition something that isn't understood,
so as to themselves, they are correct. However, fields are not mysterious
to mathematicians. In mathematics a field is a set of elements where the
distributive property holds, that is an Abelian group with respect to
an operation called addition, and that is an Abelian group with respect
to an operation called multiplication. A set of real numbers with addition
and multiplication defined in the usual way is an example of a field. *©2005
Martek International All rights reserved.*

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