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ball_volume [2013/09/09 16:58] nikolaj |
ball_volume [2014/03/21 11:11] (current) |
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===== Ball volume ===== | ===== Ball volume ===== | ||
- | ==== Definition ==== | + | ==== Set ==== |
- | | @#88DDEE: $ p\in \mathbb N $ | | + | | @#55CCEE: context | @#55CCEE: $ p\in \mathbb N $ | |
- | | @#FFBB00: $V_p:\mathbb R_+\to \mathbb R_+$ | | + | | @#FFBB00: definiendum | @#FFBB00: $V_p:\mathbb R_+\to \mathbb R_+$ | |
- | | @#FFBB00: $V_p(r):=\beta^p(B_0(r))$ | | + | | @#FFBB00: definiendum | @#FFBB00: $V_p(r):=\beta^p(B_0(r))$ | |
==== Discussion ==== | ==== Discussion ==== | ||
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Wikipedia: [[http://en.wikipedia.org/wiki/Volume_of_an_n-ball|Volume of an n-ball]] | Wikipedia: [[http://en.wikipedia.org/wiki/Volume_of_an_n-ball|Volume of an n-ball]] | ||
==== Parents ==== | ==== Parents ==== | ||
- | === Requirements === | ||
- | [[Lebesgue-Borel measure]], [[Open ball]] | ||
=== Context === | === Context === | ||
- | [[Archimedes' constant π]] | + | [[Lebesgue-Borel measure]], [[Open ball]] |