Chisini mean

leads to a Chisini mean M if for every vector <x1 ... xn>, there exists a unique M such that

f(M,M, ..., M) = f(x1,x2, ..., xn).

In mathematics, a function f of n variables

x1, ..., xn

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

They were introduced by Oscar Chisini in 1929.

See also

References

  • Chisini, O. "Sul concetto di media." Periodico di Matematiche 4, 106116, 1929.
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