The goal of this short note is the presentation of an elementary proof of the wellknown inequality between the arithmetic and geometric means. Our approach shows that the proof reduces to simple ...

First in a series. We asked ChatGPT which method is the best for examining portfolio returns. Then we asked our expert. Editor’s note: Today, we begin a new series in which we ask ChatGPT questions ...

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 ...

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 ...