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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
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General setting for triangle inequalities (terminology question)
Regarding the "mathematical object $(X, s)$" described below (in general, or under some more specific conditions) I'd like to know whether it is called a particular name, for reference in the literatu …
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Mapping in reference to a metric space (terminology question)
Thanks, Jeremy and Andreas, for your comments.
In the notes by Ackerman (http://www.math.upenn.edu/~nate/papers/paper_3/paper_3.pdf) already the first paragraph has the clue:
[...] the distance func …
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Mapping in reference to a metric space (terminology question)
Let the pair $( S, d \, )$ be a metric space, i.e.
$d\!: S^2 \rightarrow R$, where for any three distinct elements $k$, $p$, $q$ $\in S$:
$d[ \, p, q \, ] = d[ \, q, p \, ] > 0$,
$d[ \, p, q \, ] + d[ …