𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Metricity preserving transforms

✍ 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.


πŸ“œ SIMILAR VOLUMES


Proper gromov transforms of metrics are
✍ A. Dress πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 312 KB

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

Metric transformations of ℝ intoHn
✍ Daryl Tingley πŸ“‚ Article πŸ“… 1984 πŸ› Springer 🌐 English βš– 403 KB

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