-
equipped with a
binary operator ⋅ {\displaystyle \cdot } is said to be
idempotent under ⋅ {\displaystyle \cdot } if x ⋅ x = x {\displaystyle x\cdot x=x}...
- algebra, an
idempotent matrix is a
matrix which, when
multiplied by itself,
yields itself. That is, the
matrix A {\displaystyle A} is
idempotent if and only...
- mathematics, an
idempotent element or
simply idempotent of a ring is an
element a such that a2 = a. That is, the
element is
idempotent under the ring's...
- In
mathematical analysis,
idempotent analysis is the
study of
idempotent semirings, such as the
tropical semiring. The lack of an
additive inverse in the...
- mathematics, an
idempotent measure on a
metric group is a
probability measure that
equals its
convolution with itself; in
other words, an
idempotent measure is...
- c-semiring is an
idempotent semiring and with
addition defined over
arbitrary sets. An
additively idempotent semiring with
idempotent multiplication, x...
- In mathematics, an
idempotent binary relation is a
binary relation R on a set X (a
subset of
Cartesian product X × X) for
which the
composition of relations...
-
Karoubi envelope (or
Cauchy completion or
idempotent completion) of a
category C is a
classification of the
idempotents of C, by
means of an
auxiliary category...
-
methods PUT and DELETE, and safe
methods are
defined as
idempotent. Safe
methods are
trivially idempotent,
since they are
intended to have no
effect on the...
- b_{i}=\sum a_{i}\otimes b_{i}a.} Such an
element p is
called a
separability idempotent,
since regarded as an
element of the
algebra A ⊗ A o p {\displaystyle...
