The right-hand side formula above is generally the preferred alternative for implementation in computer languages. This is because calculating the product of many numbers can lead to an arithmetic overflow or arithmetic underflow. This is less likely to occur when you first take the logarithm of each number and sum these. ==Properties== This makes...
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http://en.wikipedia.org/wiki/Geometric_mean
Given x in R^n+ and a weight vector, a in the simplex, S_n, the geometric mean is the value: x(1)^a(1) * x(2)^a(2) * ... * x(n)^a(n) For example, for a=(.5, .5), the geometric mean of x = (1, 9) is 1*3, which is 3. A fundamental inequality that provides a foundation for geometric programming is that the geometric mean is never greater than...
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http://glossary.computing.society.informs.org/index.php?page=G.html
An average calculated by multiplying a series of numbers and taking the nth root where n is the number of numbers in the series....
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http://moneyterms.co.uk/d/
(from the article `mean`) ...that 1/ = /2, or 2 = 12; hence ... This is called the geometric mean of 1 and 2. The geometric mean of numbers 1, 2, …, is defined...
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http://www.britannica.com/eb/a-z/g/22
The geometric mean of n numbers is the n-th root of the product of the numbers.
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http://www.daviddarling.info/encyclopedia/G/geometric_mean.html
Geometric mean is a kind of average of a set of numbers that is different from the arithmetic average. The geometric mean is well defined only for sets of positive real numbers. Geometric mean of A and B is the square root of (A*B). The geometric mean of A, B, and C is the cube root of (A*B*C). And so forth. Contrast this to the arithmetic means, w...
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http://www.econterms.com/glossary.cgi?query=geometric+mean
The mean calculated as the antilogarithm of the arithmetic mean of the logarithms of the individual values; it can also be calculated as the nth root of the product of n values. ... (05 Mar 2000) ...
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http://www.encyclo.co.uk/local/20973
Type: Term Definitions: 1. the mean calculated as the antilogarithm of the arithmetic mean of the logarithms of the individual values; it can also be calculated as the nth root of the product of n values.
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http://www.medilexicon.com/medicaldictionary.php?t=53275
The geometric mean is the average value of a set of n integers, terms, or quantities, expressed as the nth root of their product.
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http://www.probertencyclopaedia.com/browse/AG.HTM
[
n] - the mean of n numbers expressed as the n-th root of their product
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http://www.webdictionary.co.uk/definition.php?query=geometric%20mean
A statistic calculated by multiplying n data values together and taking the n-th root of the result. It is often used as a measure of central tendency for positively skewed distributions. The geometric mean may also be calculated by computing the arithmetic mean of the logarithms of the data values and taking the inverse logarithm of the result.
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https://www.encyclo.co.uk/local/20687
noun the mean of n numbers expressed as the n-th root of their product
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https://www.encyclo.co.uk/local/20974
In mathematics, the
nth root of the product of
n positive numbers. The geometric mean
m of two numbers
p and
q is such that
m = √(
p ×
q). For example, the geometric mean of 2 and 8 is...
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https://www.encyclo.co.uk/local/21221
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