- In mathematics, an
ultrametric space is a
metric space in
which the
triangle inequality is
strengthened to d ( x , z ) ≤ max { d ( x , y ) , d ( y , z...
-
absolute value is
called an
ultrametric, non-Archimedean or p {\displaystyle p} -adic
place of K {\displaystyle K} . For any
ultrametric place v we have that...
-
example of an
additive distance matrix and its
corresponding tree: The
ultrametric distance matrix is
defined as an
additive matrix which models the constant...
-
statistical mechanics. An
ultrametric pseudo-differential
equation is an
equation which contains p-adic
numbers in an
ultrametric space.
Mathematical models...
- ways p-adic
analysis is less
subtle than
classical analysis,
since the
ultrametric inequality means, for example, that
convergence of
infinite series of...
-
equations and
quantum field theory, e.g. in
mathematical models that
include ultrametric pseudo-differential
equations in a non-Archimedean space. The
study of...
-
Archimedean or
satisfies the
stronger condition,
referred to as the
ultrametric triangle inequality, | x + y | ≤ max ( | x | , | y | ) , {\displaystyle...
- make
sense and is
replaced with an
ultrametric inequality. This
leads to the
notion of a
generalized ultrametric.
These generalizations still induce...
- and
sufficient condition for
convergence due to the non-Archimedean
ultrametric triangle inequality.
Unlike stronger convergence tests, the term test...
- "
Ultrametric Model of Mind, I: Review", P-Adic Numbers,
Ultrametric Analysis, and Applications, 4 (3): 193-206. Murtagh, F. (2012), "
Ultrametric Model...
