Talk:Maupertuis's principle
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Reduced action[edit]
Hi Willow,
This may drive you nuts, but take a look at the "energy of a curve" in the article metric tensor. linas 01:40, 19 July 2006 (UTC)
Leibniz's Priority[edit]
"The present scholarly consensus seems to be that the quotations from Leibniz are indeed genuine". Without a reference this is worthless babble.
Mass Tensor[edit]
This article refers to "The Mass Tensor" which is not defined anywhere. Please can we have a definition? CosmoPeter (talk) 09:11, 24 March 2013 (UTC) — Preceding unsigned comment added by CosmoPeter (talk • contribs) 08:43, 24 March 2013 (UTC)
Input?[edit]
Is "input" a well established term? Why isn't "domain" used as a more commonly understood synonym?
In the section Mathematical Formulation, what do you think of changing "Note that the abbreviated action S0 is not a function, but a functional, i.e., something that takes as its input a function (in this case, the path between the two specified states) and returns a single number, a scalar." to "Note that the abbreviated action S0 is not a function, but a functional, i.e., something that has as its domain all differentiable functions (in this case, the path between the two specified states) and produces a Real single number, a scalar."
I am not sure to what order the functions have to be differentiable (once differentiable, twice differentiable,..., smooth). (All differentiable functions are continuous and integrable, of course.) I am also not sure that limiting the range to Reals is correct.
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