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...

a,b\in P.} A preordered class is a class equipped with a preorder. Every set is a class and so every preordered set is a preordered class. Preorders play...

most one morphism. As such, a posetal category amounts to a preordered class (or a preordered set, if its objects form a set). As suggested by the name...

only if x is in the closure of {y}. We thus obtain a preordered set W(X) = <X, ≤>. For every preordered set X = <X, ≤> we always have W(T(X)) = X, i.e. the...

{\displaystyle -1} is not in P . {\displaystyle P.} A preordered field is a field equipped with a preordering P . {\displaystyle P.} Its non-zero elements P...

inflight meal preorder service, where specific dishes can be preordered in advance. First class is offered only on Airbus A350-900 aircraft, with cabins featuring...

reverse preordering is the reverse of a preordering, i.e. a list of the vertices in the opposite order of their first visit. Reverse preordering is not...

"KORD"), an airport in Chicago, U.S. Ord, the category of preordered sets Ord, the proper class of all ordinal numbers ord(V), the order type of a well-ordered...

category is called the free category generated by the graph. The class of all preordered sets with order-preserving functions (i.e., monotone-increasing...

very similar to representation categories of linear algebraic groups. A preordered monoid is a monoidal category in which for every two objects c , c ′ ∈...

frames corresponding to interior algebras are precisely the preordered sets. Preordered sets (also called S4-frames) provide the Kripke semantics of...

(geometry), the set of all planes through a given line Fan (order), a class of preorderings on a field FAN algorithm, an algorithm for automatic test pattern...

uniquely determined by ≤. Going in the other direction, suppose (X, ≤) is a preordered set. Define a topology τ on X by taking the open sets to be the upper...

Edition 1.9 JTDm was produced for the British market, where it had to be preordered by the customer. Its unofficial name was "quadrifoglio verde" (cloverleaf)...

order theory, a maximal element of a subset S {\displaystyle S} of some preordered set is an element of S {\displaystyle S} that is not smaller than any...

acyclic graphs) are called topological sorting. Every poset (and every preordered set) may be considered as a category where, for objects x {\displaystyle...

were released in the 1980s, but as so-called "Coterie" games, which are preordered editions and only go on limited sale at Japan's Game Market trade show...

than squaring. This corresponds to many-one reduction. A reduction is a preordering, that is a reflexive and transitive relation, on P(N)×P(N), where P(N)...

available online. Additionally, a promotion at Amazon.com allowed those who preordered Knife of Dreams from August 10 to October 10, 2005 to immediately download...

limited edition Early Adopters Box version was available to those that preordered the game, including the Space Marine faction from the start. The first...

{\displaystyle X,} the pair ( X , ≤ ) {\displaystyle (X,\leq )} is called a preordered vector space and we say that the preorder ≤ {\displaystyle \,\leq \,}...

Patrick's Day shows in the US, which begin in March 2023. For people who preordered the vinyl version of Okemah Rising through the band's website, received...

y'(x)=\left(x\mapsto -{\sqrt {2}}\right)'=0} . For functions between preordered sets, constant functions are both order-preserving and order-reversing;...

made in Bubenik et al., the indexing category P {\textstyle P} is any preordered set (not necessarily N {\displaystyle \mathbb {N} } or R {\displaystyle...

the domain of a criterion q ∈ Q {\displaystyle q\in Q} is completely preordered by an outranking relation ⪰ q {\displaystyle \succeq _{q}} ; x ⪰ q y {\displaystyle...

mathematician Évariste Galois. A Galois connection can also be defined on preordered sets or classes; this article presents the common case of posets. The literature...

Ricardo Sanchez, with art by Neil Googe for those who preordered. Also for those who preordered gained a 3 day head start before launch. Aion was in available...

figurines of licensed properties, like Marvel and Star Wars, which must be preordered. Hot Toys collectibles are primarily available to purchase from secondary...

released, along with content that was originally reserved for those who preordered the game. A new wave based game mode called "Exterminatus" was also made...

The first 450 telephones were sold at this event, while the rest of the preordered devices were shipped shortly after. In August 2015, version 1.1.9 "Eineheminlampi"...