- 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...
-
equations and
quantum field theory, e.g. in
mathematical models that
include ultrametric pseudo-differential
equations in a non-Archimedean space. The
study of...
-
example of an
additive distance matrix and its
corresponding tree: The
ultrametric distance matrix is
defined as an
additive matrix which models the constant...
-
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...
- ways p-adic
analysis is less
subtle than
classical analysis,
since the
ultrametric inequality means, for example, that
convergence of
infinite series of...
-
statistical mechanics. An
ultrametric pseudo-differential
equation is an
equation which contains p-adic
numbers in an
ultrametric space.
Mathematical models...
-
refers to
something without the
Archimedean property. This includes:
Ultrametric space in particular, a
domain with non-Archimedean
absolute value notably...
-
property |x + y| ≤ max(|x|, |y|) for all x and y, then |x| is
called an
ultrametric or non-Archimedean
absolute value, and
otherwise an
Archimedean absolute...
-
Archimedean or
satisfies the
stronger condition,
referred to as the
ultrametric triangle inequality, | x + y | ≤ max ( | x | , | y | ) , {\displaystyle...
- "valuation" (satisfying the
ultrametric inequality) is
called an "exponential valuation" or "non-Archimedean
absolute value" or "
ultrametric absolute value"; our...
