- ≤ d ( x , y ) + d ( y , z ) {\displaystyle d(x,z)\leq d(x,y)+d(y,z)}
Quasimetrics are
common in real life. For example,
given a set X of
mountain villages...
- example,
pseudometrics violate property (2),
identity of indiscernibles;
quasimetrics violate property (3), symmetry; and
semimetrics violate property (4)...
-
induced by
inner products.
Every Finsler manifold becomes an
intrinsic quasimetric space when the
distance between two
points is
defined as the infimum...
-
symmetric and does not
satisfy the
triangle inequality (making it a semi-
quasimetric).
Another interpretation of the KL
divergence is the "unnecessary surprise"...
- second-countable. However, the
topology of a
Sorgenfrey line is
generated by a
quasimetric. R l {\displaystyle \mathbb {R} _{l}} is a
Baire space. R l {\displaystyle...
-
after the
developing committee,
their metric is
called CMC l:c. The
quasimetric (i.e. it
violates symmetry:
parameter T is
based on the hue of the reference...
- ,\tau )} . The
notion was
introduced by J. C.
Kelly in the
study of
quasimetrics, i.e.
distance functions that are not
required to be symmetric. A map...
-
space is not even regular. S is
generated by the
hemimetric (or pseudo-
quasimetric) d ( 0 , 1 ) = 0 {\displaystyle d(0,1)=0} and d ( 1 , 0 ) = 1. {\displaystyle...
- gallons.
Following metrification, Portugal's
tonelada de
junta used a
quasimetric tonelada of
exactly 800
liters while Brazil used a
kiloliter tonelada...
- \Lambda _{R}(x,y)} This is an
asymmetric metric (also
sometimes called a
quasimetric), i.e. it only
fails symmetry d R ( x , y ) = d R ( y , x ) {\displaystyle...
