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| ``Re: Ambiguity with Graph Theory''
by rspuzio on 2005-06-08 22:50:46 |
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| Graph in the sense of graph theory defined in Planet Math:
http://planetmath.org/encyclopedia/Graph.html
As for the geomtry sense of the term "field", there are sevaral entries on scalar fields, vector fields, etc.
In cases like these where the same term can have several meanings, it would help to have disambiguation pages which point out that the word can be used in several ways, link to definitions of these different senses, and perhaps offer advice on how one can guess which meaning is being used or how to write so as to make it clear which meaning is intended. An example of such a page (as far as I know, it's the only one that has been written so far) is:
http://planetmath.org/encyclopedia/Orthogonal.html
It would be nice to have such entries for the terms "graph" and "field". In addition, once several such entries are written, it would be nice to great to make a glossary of ambiguous mathematical terms. As far as I know, such a reference does not exist, and it could prove of great service to the beleaguered math student who, knowing only of graphs of functions, opens a topology book and is puzzled by the use of the term "graph" found there. |
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