- {\displaystyle B} , respectively, the
product order (also
called the
coordinatewise order or
componentwise order) is a
partial order ≤ {\displaystyle \leq...
- a2 ≤ b2, ..., an ≤ bn (i.e. the
Cartesian product {0, 1}n is
ordered coordinatewise), then f(a1, ..., an) ≤ f(b1, ..., bn). In
other words, a
Boolean function...
-
distributive polytope (a
convex polytope closed under coordinatewise minimum and
coordinatewise maximum operations), with
these two
operations as the...
- ways: It is the
poset of
sequences of n
integers a1, ..., an,
ordered coordinatewise, such that i ≤ ai ≤ n and if i ≤ j ≤ ai then aj ≤ ai (Huang & Tamari...
-
convex polytopes, a
distributive polytope is a
convex polytope for
which coordinatewise minima and
maxima of
pairs of
points remain within the polytope. For...
-
collection of
triangle centers may be
given the
structure of a
group under coordinatewise multiplication of
trilinear coordinates; in this group, the incenter...
- the two-dimensional
integer lattice forms a free
abelian group, with
coordinatewise addition as its operation, and with the two
points (1, 0) and (0, 1)...
- with two elements; that is, in this
vector space,
vectors are
added coordinatewise modulo two. A 2-basis of G is a
basis of C(G) with the
property that...
-
structures is the
cartesian product of the sets with the
operations defined coordinatewise. The
isomorphism theorems,
which encomp**** the
isomorphism theorems...
- the
defining property of a
distributive polytope, a
polytope in
which coordinatewise maximization and
minimization form the meet and join
operations of a...
