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| ``Encyclopedia entry for "isoperimetric inequality"''
by VR on 2006-04-04 10:58:48 |
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| | I think this entry needs to be re-written somewhat. It contains an undefined term, "figure", in two crucial places (e.g. first sentence). Presumably, continuous "curve" (f : [a, b] --> IR^2, oo \le a < b \le oo) is meant. Also, it is unclear if the inequality is valid for any rectifiable plane curve (including even "curves" continuous only a.e.). In most presentations in books, the curve is assumed to be C^1 or at least piecewise differentiable. |
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