This permits efficiently approximating the gamma function of rational arguments to high precision using quadratically convergent arithmetic-geometric mean iterations.
42.
Similarly, one can calculate the value of shape parameters required for the geometric mean to equal 1 / 2.
43.
Each ratio is computed, and then the geometric mean of those ratios is computed to produce an overall value.
44.
The inequality of arithmetic and geometric means gives an upper bound which is close to the actual optimum value.
45.
It is known from the inequality of arithmetic and geometric means that the geometric mean is lower than the mean.
46.
It is known from the inequality of arithmetic and geometric means that the geometric mean is lower than the mean.
47.
First, the geometric mean of the arithmetic and harmonic means is equal to the geometric mean of the two values:
48.
First, the geometric mean of the arithmetic and harmonic means is equal to the geometric mean of the two values:
49.
Those like geNORM or BestKeeper can compare pairs or geometric means for a matrix of different reference genes and tissues.
50.
This makes the choice of the geometric mean less obvious than one would expect from the " Properties " section above.
