In mathematics, a function f of n variables

x_{1}, ..., x_{n}

leads to a Chisini mean M if for every vector <x_{1} ... x_{n}>, there exists a unique M such that

f(M,M, ..., M) = f(x_{1},x_{2}, ..., x_{n}).

The arithmetic, harmonic, geometric, generalised, Heronian and quadratic means are all Chisini means, as are the weighted variants thereof.

**References**

They were introduced by Oscar Chisini, in the paper Chisini, O. "Sul concetto di media." Periodico di Matematiche 4, 106-116, 1929.

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