1. ultrametric - Noun
2. ultrametric - Adjective
(mathematics) Describing a metric whose triangle inequality has the stronger form
d
(
x
,
z
)
≤
max
{
d
(
x
,
y
)
,
d
(
y
,
z
)
}
{\displaystyle d(x,z)\leq \max\{d(x,y),d(y,z)\}}
.
Describing a phylogeny in which every tip is the same distance from the root.
ultrametric (plural ultrametrics)
A metric whose triangle inequality has the stronger form
d
(
x
,
z
)
≤
max
{
d
(
x
,
y
)
,
d
(
y
,
z
)
}
{\displaystyle d(x,z)\leq \max\{d(x,y),d(y,z)\}}
.