Metricity preserving transforms
β Scribed by P.P. Das
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 213 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0167-8655
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In phylogenetic analysis, a standard problem is to approximate a given metric by an additive metric. Here it is shown that, given a metric D defined on some finite set X and a nonexpansive map f : X + R, the one-parameter family of the Gromov transforms DApf of D relative to f and A that starts with
A metric transformation between two metric spaces M 1 and M 2 is defined to be a function f such that for some function p:~+ ~ ~+, called the scale function associated with f, p(dl(x, y)) = dz(f(x), f(y)), for all x, y~M 1 . Here E+ = {t~lt >~ 0} and neither of the functions f or p is assumed to be