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Mean.
Last seen on: Daily Celebrity Crossword – 2/16/19 Sports Fan Friday
Random information on the term “Mean”:
In mathematics, the arithmetic–geometric mean (AGM) of two positive real numbers x and y is defined as follows:
Call x and y a0 and g0:
Then define the two interdependent sequences (an) and (gn) as
where the square root takes the principal value. These two sequences converge to the same number, the arithmetic–geometric mean of x and y; it is denoted by M(x, y), or sometimes by agm(x, y).
The arithmetic-geometric mean is used in fast algorithms for exponential and trigonometric functions, as well as some mathematical constants, in particular, computing π {\displaystyle \pi } .
To find the arithmetic–geometric mean of a0 = 24 and g0 = 6, iterate as follows:
The first five iterations give the following values:
The number of digits in which an and gn agree (underlined) approximately doubles with each iteration. The arithmetic–geometric mean of 24 and 6 is the common limit of these two sequences, which is approximately 7001134581714817256♠13.4581714817256154207668131569743992430538388544.[1]