2 ms·
How? First have a clear statement of the context. Second, define and explain all the obscure terminology and mathematical notation -- at least give good refere
by graycat 2y ago
How?
First have a clear statement of the context. Second, define and explain all the obscure terminology and mathematical notation -- at least give good references.
Gee, in one discussion of Lagrangians, saw "configuration space" and "constraints". Okay, studied topological spaces, vector spaces, inner product spaces, measure spaces, Banach spaces, Hilbert spaces, probability spaces, but never saw a definition or explanation of a "configuration space".
"Constraints"? Kuhn-Tucker optimization theory has a lot on constraints, for one of the issues there was a question, and I solved and published it. Thought I had some background in "constraints", but the Lagrangian explanations didn't make clear what they meant by "constraints".
A "symmetry generator"? This is the first I ever heard of any such thing although ugrad math honors paper was on group representations.
Then there was "phase space": What does that have to do with "phase" in light waves and sound waves? Sounds like one word with two different meanings?
E.g., "Poisson algebra": Okay, there is the Poisson stochastic process, e.g., seems to get assumed in "half-life" calculations, and with more in
Erhan \c Cinlar,
{\it Introduction to Stochastic Processes,\/}
ISBN 0-13-498089-1,
Prentice-Hall,
Englewood Cliffs, NJ,
1975.\ \
and there is abstract algebra, e.g., groups, rings, fields, ... But a "Poisson algebra"?