Science Fair Project Encyclopedia
Chisini mean
In mathematics, a function f of n variables
- x1, ..., xn
is a Chisini mean if for every vector
- <x1 ... xn>,
there exists a unique M such that
- f(M,M, ..., M) = f(x1,x2, ..., xn).
The arithmetic, harmonic, geometric and quadratic means are all Chisini means, as are the weighted variants thereof.
Reference
They were introduced by Oscar Chisini, in the paper Chisini, O. "Sul concetto di media." Periodico di Matematiche 4, 106-116, 1929.
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details