In mathematics, the geometric mean is a mean or average which indicates a central tendency of a finite set of positive real numbers by using the product...
31 KB (4,686 words) - 14:13, 20 September 2024
AM–GM inequality (redirect from Arithmetic mean-geometric mean inequality)
the inequality of arithmetic and geometric means, or more briefly the AM–GM inequality, states that the arithmetic mean of a list of non-negative real numbers...
39 KB (7,830 words) - 16:18, 17 September 2024
arithmetic–geometric mean (AGM or agM) of two positive real numbers x and y is the mutual limit of a sequence of arithmetic means and a sequence of geometric means...
17 KB (2,935 words) - 16:03, 13 July 2024
mathematics, the geometric–harmonic mean M(x, y) of two positive real numbers x and y is defined as follows: we form the geometric mean of g0 = x and h0...
3 KB (453 words) - 11:54, 10 May 2021
In Euclidean geometry, the geometric mean theorem or right triangle altitude theorem is a relation between the altitude on the hypotenuse in a right triangle...
10 KB (1,307 words) - 20:09, 17 September 2024
In statistics, the weighted geometric mean is a generalization of the geometric mean using the weighted arithmetic mean. Given a sample x = ( x 1 , x...
1 KB (213 words) - 02:17, 23 May 2024
Arithmetic-geometric mean Arithmetic-harmonic mean Cesàro mean Chisini mean Contraharmonic mean Elementary symmetric mean Geometric-harmonic mean Grand mean Heinz...
16 KB (2,147 words) - 05:25, 1 October 2024
statistics, the geometric standard deviation (GSD) describes how spread out are a set of numbers whose preferred average is the geometric mean. For such data...
4 KB (710 words) - 03:07, 9 April 2024
The geometric mean filter is an image filtering process meant to smooth and reduce noise of an image. It is based on the mathematic geometric mean. The...
3 KB (397 words) - 01:17, 8 October 2021
arithmetic and geometric means that the geometric mean is lower than the mean. Similarly, the harmonic mean is lower than the geometric mean. The accompanying...
243 KB (40,380 words) - 08:10, 19 June 2024