The simple definition of a mean is that of a numeric quantity which represents the center of a collection of numbers. Here the trick lies in defining the exact type of numeric collection, as beyond ...

The GEOMEAN and HARMEAN are advanced statistical functions that typically require a deeper understanding of mathematics. This is probably why they aren't taught as often as the AVERAGE function.

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This is a preview. Log in through your library . Abstract The arithmetic-geometric-harmonic inequality has played a special role in elementary mathematics. During the past twenty five years (see [1], ...

A. M. Fink and Max Jodeit, Jr. It is shown that the arithmetic mean of $x_1 w_1,\ldots, x_n w_n$ exceeds the geometric mean of $x_1,\ldots, x_n$ unless all the $x$'s ...

Matrix inequalities and means constitute a vibrant area of contemporary mathematical research, blending classical matrix theory with modern applications in numerical analysis, control theory and ...