- theory, a
preorder or
quasiorder is a
binary relation that is
reflexive and transitive. The name
preorder is
meant to
suggest that
preorders are almost...
- up
preorder in Wiktionary, the free dictionary. The term
preorder may
refer to: In mathematics:
Preorder, a reflexive,
transitive relation Preorder field...
- and are in turn
generalized by (strictly)
partially ordered sets and
preorders.
There are
several common ways of
formalizing weak orderings, that are...
-
while (leaf + 1) % (k * 2) ≠ k i ← (i - 1)/2 k ← 2 * k
return i
procedure preorder(array) i ← 0
while i ≠ array.size visit(array[i]) if i = size - 1 i ← size...
-
mathematics known as topology, the
specialization (or canonical)
preorder is a
natural preorder on the set of the
points of a
topological space. For most spaces...
-
canonical preorder (specialization
preorder) we
obtain a
representation of the
interior algebra as a
canonical preorder field. By
replacing the
preorder by its...
-
simulation preorder—is
indeed a
preorder relation. Note that
there can be more than one
relation that is both a
simulation and a
preorder; the term simulation...
- In mathematics, a
directed set (or a
directed preorder or a
filtered set) is a
nonempty set A {\displaystyle A}
together with a
reflexive and transitive...
-
specialization preorders. Indeed,
given any
preorder ≤ on a set X,
there is a
unique Alexandrov topology on X for
which the
specialization preorder is ≤. The...
- {\displaystyle \left(I_{a},\leq \right)} is a
preordered set. Then the
product preorder on ∏ a ∈ A I a {\displaystyle \prod _{a\in A}I_{a}} is
defined by declaring...
