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...

is canonically associated to a preordered set by taking the open sets to be the upper sets. Conversely, the preordered set can be recovered from the Alexandrov...

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

{\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...

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

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

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

order is variously used to refer to at least three similar, but distinct, classes of partially ordered sets, characterized by particular completeness properties...

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...

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...

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...

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

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...

and cook for the finest of French palates. Among a multitude of classic preordered dishes served, he serves one small creation of his own (the small pastry...

Players who preordered before November 2, 2014, received an experience boost that granted twelve times multiplicative experience for class-related missions...

than a hastily assembled collection of songs.[citation needed] Capitol preordered 500,000 copies—the largest pressing of a debut album in the label's prior...

offered in both rear-wheel drive and all-wheel drive (xDrive) variants. Preordered 530e LCI models come without the hybrid blue inserts for the BMW logos...

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

served as a prequel, and players who preordered the game gained access to "Codebreakers". Those who preordered the game using GAME unlocked the Light...

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...

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

\rangle } , where ⟨ W , ≤ ⟩ {\displaystyle \langle W,\leq \rangle } is a preordered Kripke frame, and ⊩ {\displaystyle \Vdash } satisfies the following conditions:...

(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...

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...

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...

\leq ,{\mathcal {F}})} where ( X , ≤ ) {\displaystyle (X,\leq )} is a preordered set and ( X , F ) {\displaystyle (X,{\mathcal {F}})} is a field of sets...

of each RS model), these limited edition vehicles quickly sell out. Preordering is available at each dealership on a first-come, first-served basis....

and Ignition in the Deep and a flare gun for multiplayer. Players who preordered the game at GameStop gained access to the "Monkey Business Pack", which...