18/01/11 20:14:11.83 dLTvfhGd.net
>>399
>スレ主に分かり易いのはコーシーの剛性定理だろう。
おっちゃん、19世紀の人間かい？
ところで、下記にen.wikipediaにいろいろあるが
コーシーは、７番目”7.Cauchy's theorem on geometry of convex polytopes states that a convex polytope is uniquely determined by the geometry of its faces and combinatorial adjacency rules.”
やね
で、１番目と２番目見えるか？（＾＾
”1.Harmonic functions ・・・.”
”2.Holomorphic functions ・・・.”
１番目、２番目とも、１変数解析函数からみよ（＾＾
URLﾘﾝｸ(en.wikipedia.org)(mathematics)
Rigidity (mathematics)
(抜粋)
In mathematics, a rigid collection C of mathematical objects (for instance sets or functions) is one in which every c ∈ C is uniquely determined by less information about c than one would expect.
The above statement does not define a mathematical property. Instead, it describes in what sense the adjective rigid is typically used in mathematics, by mathematicians.
Some examples include:
1.Harmonic functions on the unit disk are rigid in the sense that they are uniquely determined by their boundary values.
2.Holomorphic functions are determined by the set of all derivatives at a single point.
A smooth function from the real line to the complex plane is not, in general, determined by all its derivatives at a single point, but it is if we require additionally that it be possible to extend the function to one on a neighbourhood of the real line in the complex plane. The Schwarz lemma is an example of such a rigidity theorem.
つづく