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Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.
51
votes
What are some examples of colorful language in serious mathematics papers?
I was always amazed that Clifford Truesdell could get away with a quote like this:
Nowadays, when the common student
seeks a secure berth by grafting
himself upon some modest little
professo …
29
votes
Accepted
What is a symplectic form intuitively?
To elaborate on a comment of Steve Huntsman: the symplectic form turns a form $d H$ into a flow $X_H$ with a number of properties, but other types of forms can do a similar job. Indeed, there are a n …
15
votes
Is symplectic reduction interesting from a physical point of view?
Inviscid fluid mechanics is one example of a physical system where symplectic reduction actually tells you a great deal, which would be very hard to obtain by other means.
The unreduced configuration …