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...

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...

and are in turn generalized by (strictly) partially ordered sets and preorders. There are several common ways of formalizing weak orderings, that are...

A preorder economy is a type of proposed future economy where the exact demand for goods is known ahead of time, before any material production takes place...

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...

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...

well as transitive, so it is a preorder, R = { (1,1), (2,2), (3,3) } is reflexive as well as transitive, another preorder, R = { (1,2), (2,3), (1,3) } is...

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...

canonical preorder (specialization preorder) we obtain a representation of the interior algebra as a canonical preorder field. By replacing the preorder by its...

leximin order is a total preorder on finite-dimensional vectors. A more accurate but less common term is leximin preorder. The leximin order is particularly...

ordering, or rewrite preorder. If the latter (→) is moreover well-founded, it is called a reduction ordering, or a reduction preorder. Given a binary relation...

Peters, Jay (January 22, 2020). "Nintendo doesn't have to refund digital preorders, according to European court". The Verge. Retrieved January 22, 2020....

ground set. A preorder is a reflexive and transitive relation. The difference between a preorder and a partial-order is that a preorder allows two different...

{\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...

theorem proving and term rewriting, the containment, or encompassment, preorder (≤) on the set of terms, is defined by s ≤ t if a subterm of t is a substitution...

x ∈ X such that xRy. A preorder is a relation that is reflexive and transitive. A total preorder, also called linear preorder or weak order, is a relation...

Alexandrov topology is one whose open sets are the upper sets for some preorder on the space. Spaces with an Alexandrov topology are also known as Alexandrov-discrete...

targets Cofinality – Size of subsets in order theory Upper set – Subset of a preorder that contains all larger elements a subset U {\displaystyle U} of a partially...

set. Preorder. A preorder is a binary relation that is reflexive and transitive. Such orders may also be called quasiorders or non-strict preorder. The...

can be recovered from a natural preorder on X called the specialization preorder. For points x and y in X this preorder is defined by x ≤ y if and only...

Limited Run #68: Black Bird [PREORDER]". Limited Run Games. Retrieved 2021-04-30. "Limited Run #304: Blasphemous (PS4) [PREORDER]". Limited Run Games. Retrieved...

org/user/biteisme/album/1063015-live-rope/ "Swans announce new live album Live Rope preorder". Young God Records. September 10, 2024. Retrieved September 12, 2024....

In mathematics, a preordered class is a class equipped with a preorder. When dealing with a class C, it is possible to define a class relation on C as...

of a preorder has to be mentioned. A preorder is a relation that is reflexive and transitive, but not necessarily antisymmetric. Each preorder induces...

one, the discrete one, and the Sierpiński topology. The specialization preorder on the Sierpiński space {a,b} with {b} open is given by: a ≤ a, b ≤ b,...

well-ordering. Arrow stated that every preorder (reflexive and transitive relation) can be extended to a total preorder (transitive and connex relation). This...

reflexive K4 4 transitive S4 T, 4 preorder S5 T, 5 or D, B, 4 equivalence relation S4.3 T, 4, H total preorder S4.1 T, 4, M preorder, ∀ w ∃ u ( w R u ∧ ∀ v ( u...

orderings in which some pairs are comparable and others might not be Preorders, a generalization of partial orders allowing ties (represented as equivalences...

concepts Binary relation Boolean algebra Cyclic order Lattice Partial order Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein...