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→Function spaces and generalized coordinate spaces: really? where? |
Geometry guy (talk | contribs) |
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:Really? I don't see where that notation is used. The only thing I see is '''F'''<sup>∞</sup> used to mean <math>\bigoplus_{i=1}^\infty \mathbf F</math> rather than '''F'''<sup>'''N'''</sup>. I believe this notation is somewhat standard (note that ∞ is not a set here, just a symbol). I agree that ''V''<sup>''X''</sup> should be used to mean the set of all maps from ''X'' to ''V''. -- [[User:Fropuff|Fropuff]] 18:47, 12 February 2007 (UTC)
::I must be hallucinating! You are right '''F'''<sup>''X''</sup> does not seem to appear anywhere. I guess what disconcerted me was that I was expecting to find a discussion of '''F'''<sup>n</sup> and '''F'''<sup>'''N'''</sup> as special cases of '''F'''<sup>''X''</sup>, instead of which, I saw '''F'''<sup>n</sup> and '''F'''<sup>∞</sup> as special cases of the direct sum over ''X'' (what do you think of a notation like <math>\mathbf F^{\oplus X}</math> for this?). Anyway, there is nothing wrong with that approach - certainly I'm happy with the notation '''F'''<sup>∞</sup> - but I still think it would be nice to mention '''F'''<sup>''X''</sup> explicitly and give some subexamples. Do you agree? [[User:Geometry guy|Geometry guy]] 19:07, 12 February 2007 (UTC)
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