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Search references for PREORDER. Phrases containing PREORDER
See searches and references containing PREORDER!PREORDER
Reflexive and transitive binary relation
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
Preorder
Topics referred to by the same term
up preorder in Wiktionary, the free dictionary. The term preorder may refer to: In mathematics: Preorder, a reflexive, transitive relation Preorder field
Preorder_(disambiguation)
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
Specialization_preorder
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
Preorder_economy
Class of algorithms
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
Tree_traversal
Mathematical ranking of a set
and are in turn generalized by (strictly) partially ordered sets and preorders. There are several common ways of formalizing weak orderings, that are
Weak_ordering
Mathematical ordering with upper bounds
In mathematics, a directed set (or a directed preorder or a filtered set) is a preordered set in which every finite subset has an upper bound. In other
Directed_set
Type of binary relation
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
Transitive_relation
Algebraic concept in measure theory, also referred to as an algebra of sets
canonical preorder (specialization preorder) we obtain a representation of the interior algebra as a canonical preorder field. By replacing the preorder by its
Field_of_sets
Upcoming video game
Grand Theft Auto V's highest-grossing launch—including $1 billion in preorders. Rockstar requested employees cease remote work and return to offices
Grand_Theft_Auto_VI
Comparison between vectors
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
Leximin_order
Order placed for an item that has not yet been released
Peters, Jay (January 22, 2020). "Nintendo doesn't have to refund digital preorders, according to European court". The Verge. Retrieved January 22, 2020.
Pre-order
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
Simulation_(computer_science)
Mathematical ordering of a partial order
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
Linear_extension
Construction in order theory
{\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
Product_order
Type of topology in mathematics
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
Alexandrov_topology
Mathematical result on order relations
well-ordering. Arrow stated that every preorder (reflexive and transitive relation) can be extended to a total preorder (transitive and connex relation). This
Szpilrajn_extension_theorem
Glossary of terms used in branch of mathematics
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
Glossary_of_order_theory
Limited Run #68: Black Bird [PREORDER]". Limited Run Games. Retrieved 2021-04-30. "Limited Run #304: Blasphemous (PS4) [PREORDER]". Limited Run Games. Retrieved
List of Limited Run Games releases
List_of_Limited_Run_Games_releases
Mathematical property of subsets in order theory
targets Cofinality – Size of subsets in order theory Upper set – Subset of a preorder that contains all larger elementsPages displaying short descriptions of
Cofinal_(mathematics)
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
Rewrite_order
Subset of incomparable elements
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Antichain
Binary relation over a set and itself
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
Homogeneous_relation
Mathematical set with an ordering
a\leq c} . A non-strict partial order is also known as an antisymmetric preorder. An irreflexive, strong, or strict partial order is a homogeneous relation
Partially_ordered_set
Class equipped with a preorder
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
Preordered_class
Order whose elements are all comparable
on a subset of Rn defines a strict weak order and a corresponding total preorder on that subset. A binary relation that is antisymmetric, transitive, and
Total_order
Well-quasi-ordering of finite trees
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Kruskal's_tree_theorem
Type of binary relation
Equivalence relation Y ✗ ✗ ✗ ✗ ✗ Y ✗ ✗ Preorder (Quasiorder) ✗ ✗ ✗ ✗ ✗ ✗ Y ✗ ✗ Partial order ✗ Y ✗ ✗ ✗ ✗ Y ✗ ✗ Total preorder ✗ ✗ Y ✗ ✗ ✗ Y ✗ ✗ Total order ✗
Antisymmetric_relation
2026 film by Jon Erwin
13, 2025). "'Young Washington' Debuts Trailer With Angel Studios Ticket Preorder Campaign: 'Make This the No. 1 Movie in America' on Fourth of July 2026"
Young_Washington
Property of a relation on a set
Equivalence relation Y ✗ ✗ ✗ ✗ ✗ Y ✗ ✗ Preorder (Quasiorder) ✗ ✗ ✗ ✗ ✗ ✗ Y ✗ ✗ Partial order ✗ Y ✗ ✗ ✗ ✗ Y ✗ ✗ Total preorder ✗ ✗ Y ✗ ✗ ✗ Y ✗ ✗ Total order ✗
Connected_relation
Term ordering in abstract rewriting
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
Encompassment_ordering
Mathematical concept
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,
Finite_topological_space
Extreme element of a preorder
economics, one may relax the axiom of antisymmetry, using preorders (generally total preorders) instead of partial orders; the notion analogous to maximal
Maximal_and_minimal_elements
Smallest transitive relation containing a given binary relation
the union of two equivalence relations or two preorders. To obtain a new equivalence relation or preorder one must take the transitive closure (reflexivity
Transitive_closure
Branch of mathematics
of a preorder has to be mentioned. A preorder is a relation that is reflexive and transitive, but not necessarily antisymmetric. Each preorder induces
Order_theory
Algebraic structure used in logic
preorder ≼ by defining F≼G if G is an (intuitionist) logical consequence of F, that is, if G is provable from F. It is immediate that ≼ is a preorder
Heyting_algebra
Order-preserving mathematical function
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Monotonic_function
Reversal of the order of elements of a binary relation
trichotomous, a partial order, total order, strict weak order, total preorder (weak order), or an equivalence relation, its converse is too. If I {\displaystyle
Converse_relation
On chains and antichains in partial orders
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Dilworth's_theorem
Mixed reality smartglasses
expansion of HoloLens and publicized that HoloLens would be available for preorder in Australia, Ireland, France, Germany, New Zealand and the United Kingdom
Microsoft_HoloLens
Visual depiction of a partially ordered set
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Hasse_diagram
Partially ordered vector space, ordered as a lattice
a preordered vector space. Item 3 says that the preorder is a join semilattice. Because the preorder is compatible with the vector space structure, one
Riesz_space
Type of modal logic
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 and ∀ w ∃ u ( w R u ∧ ∀ v
Normal_modal_logic
Size of subsets in order theory
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Cofinality
Concept in order theory
Equivalence relation Y ✗ ✗ ✗ ✗ ✗ Y ✗ ✗ Preorder (Quasiorder) ✗ ✗ ✗ ✗ ✗ ✗ Y ✗ ✗ Partial order ✗ Y ✗ ✗ ✗ ✗ Y ✗ ✗ Total preorder ✗ ✗ Y ✗ ✗ ✗ Y ✗ ✗ Total order ✗
Join_and_meet
Digital single-lens reflex camera
2017. Nikon announced it could not fill the preorders on August 28, 2017 and filled less than 10% of preorders on the first shipping day. It is the successor
Nikon_D850
French actor (born 1966)
his way into the #TEKKEN8 roster! Pre-order TEKKEN 8 🤜 https://bnent.eu/Preorder-TEKKE..." (Tweet). Retrieved 2 November 2023 – via X (formerly Twitter)
Vincent_Cassel
Type of binary relation
b if and only if a ≤ b and a ≠ b. More generally, when working with a preorder ≤, it is common to use the relation < defined such that a < b if and only
Well-founded_relation
Thai-Chinese actress Fashion and Food Entrepreneur (born 1995)
..#HOWE #HOWEMAGAZINE #HOWE127 #50influentialpeople2024 #preorder #พรีออเดอร์ #หลิงหลิง #หลิงหลิงศิริลักษณ์ #หลิงหลิงคอง #linglingkwong"
Sirilak_Kwong
Algebraic object with an ordered structure
partial order Partially ordered space – Partially ordered topological space Preorder field – Algebraic concept in measure theory, also referred to as an algebra
Ordered_field
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Absolutely and completely monotonic functions and sequences
Absolutely_and_completely_monotonic_functions_and_sequences
American fantasy TV series
(September 23, 2024). "The House of the Dragon Season 2 4K Steelbook Is Up for Preorder and On Sale". IGN. Retrieved June 13, 2025. "House of the Dragon: Season
House_of_the_Dragon
Relationship between elements of two sets
irreflexive—and vice versa. The complement of a strict weak order is a total preorder—and vice versa. If R {\displaystyle R} is a binary homogeneous relation
Binary_relation
Mathematical proposition equivalent to the axiom of choice
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Zorn's_lemma
Polish rapper and martial arts fighter
WYSTARTOWAŁ PREORDER!". glamrap.pl. Retrieved 16 December 2012. ANDRZEJ PIASECZNY – TO CO DOBRE. onyx.pl "POPEK "MONSTER" – WYSTARTOWAŁ PREORDER!". Retrieved
Popek
2024 video game
Retrieved February 6, 2026. "FINAL FANTASY VII REBIRTH launch date and preorder information | Square Enix Blog". square-enix-games.com. Retrieved September
Final_Fantasy_VII_Rebirth
2021 Apple tablet computers
which are the same as its predecessor, the iPad Pro (4th generation). Preorders began on April 30, 2021, and the product was released worldwide on May
IPad_Pro_(5th_generation)
and mathematical optimization. Partially ordered set Preorder Totally ordered set Total preorder Chain Trichotomy Extended real number line Antichain
List_of_order_theory_topics
Home video game console by Sony
PS4 users to upgrade to the PS5 version of Horizon Forbidden West when preorders were announced, but after negative feedback from consumers (who pointed
PlayStation_5
2022 studio album by Oliver Tree
would be released on February 18, with the album cover being revealed and preorders being launched. On February 3, the second single, "Freaks & Geeks", was
Cowboy_Tears
Video game series
Yakuza series games since have included a new Kamutai Magazine issue as a preorder bonus in Japan, featuring a voice actress as cover girl. Hence this December
Yakuza_(franchise)
Characterizes the height of any finite partially ordered set
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Mirsky's_theorem
orderings in which some pairs are comparable and others might not be Preorders, a generalization of partial orders allowing ties (represented as equivalences
List of order structures in mathematics
List_of_order_structures_in_mathematics
American christian music superduo
work with Party Wave. The full album, Dawn Patrol was made available for preorder, while its second single, "Waste Some Time", was scheduled for upcoming
Party_Wave_(band)
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Locally_finite_poset
Binary relation that relates every element to itself
Equivalence relation Y ✗ ✗ ✗ ✗ ✗ Y ✗ ✗ Preorder (Quasiorder) ✗ ✗ ✗ ✗ ✗ ✗ Y ✗ ✗ Partial order ✗ Y ✗ ✗ ✗ ✗ Y ✗ ✗ Total preorder ✗ ✗ Y ✗ ✗ ✗ Y ✗ ✗ Total order ✗
Reflexive_relation
Topology on a partially ordered set
induced by the preorder is defined similarly in terms of the down-sets. The preorder inducing the upper topology is its specialization preorder, but the specialization
Upper_topology
Rooted binary tree data structure
{\text{BST}}} . A BST can be traversed through three basic algorithms: inorder, preorder, and postorder tree walks. Inorder tree walk: Nodes from the left subtree
Binary_search_tree
Subset of a preorder that contains all larger elements
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Upper_and_lower_sets
Alternative mathematical ordering
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Cyclic_order
2014 studio album by Apollo Brown
soundtracks. One single was released from the album, "The Answer", as a preorder bonus. According to Apollo Brown, the album was named after .38 caliber
Thirty_Eight
Type of monotone function
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Order_embedding
Chinese audio product brand by Anker
the first sleep earbuds with active noise cancellation: Here's how to preorder them". Mashable. Retrieved 17 August 2025. "I finally found sleep earbuds
Soundcore
Edge whose deletion would disconnect a graph
in preorder and number the nodes. Parent nodes in the forest now have lower numbers than child nodes. For each node v {\displaystyle v} in preorder (denoting
Bridge_(graph_theory)
(February 11, 2025). "Lenovo's Legion Go S With Windows Is Available To Preorder (Out Soon)". IGN. Retrieved July 23, 2025. Set to release on February 14
2025_in_video_games
Preorder on vectors of real numbers
In mathematics, majorization is a preorder on vectors of real numbers. For two such vectors, x , y ∈ R n {\displaystyle \mathbf {x} ,\ \mathbf {y} \in
Majorization
Term in the mathematical area of order theory
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Duality_(order_theory)
Topics referred to by the same term
album), 2003 OH (ohio), by Lambchop, 2008 Oh!, an EP that came with the preorders of Oh! Gravity. by Switchfoot, 2006 "O (Oh!)", 1920 by Ted Lewis, 1953
Oh
Mathematical symbol for "less than"
less-than-sign is sometimes used to represent a total order, partial order or preorder. However, the symbol ≺ {\displaystyle \prec } is often used when it would
Less-than_sign
2024 live album by Swans
progarchives.com/review.asp?id=3143421 "Swans announce new live album Live Rope preorder". Young God Records. September 10, 2024. Retrieved September 12, 2024.
Live_Rope
American singer (born 1994)
book of poetry, entitled I Would Leave Me If I Could, was available for preorder. The same year, she also released her first live album, Badlands (Live
Halsey_(singer)
2011 soundtrack album and remix album by Michael Jackson
Amazon.de. Retrieved November 19, 2011. "Immortal by Michael Jackson - Preorder Immortal on iTunes". Sony Music. iTunes.com. Retrieved November 19, 2011
Immortal (Michael Jackson album)
Immortal_(Michael_Jackson_album)
2023 flagship tablets by Samsung Electronics
Buondonno (26 July 2023). "Samsung's Galaxy Tab S9 tablets are up for preorder now — and we got to try them". CNN. Dan, Seifert (26 July 2023). "Samsung
Samsung_Galaxy_Tab_S9
Mathematical result or axiom on order relations
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Hausdorff_maximal_principle
Electric pickup truck
with a refundable US$100 deposit. On November 26, Musk announced 250,000 preorders in the five days since the unveiling. In October 2021, Tesla removed the
Tesla_Cybertruck
Generalised alphabetical order
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Lexicographic_order
2026 song by Kanye West featuring André Troutman
versions, West sings the word "lies" instead of "love" during the chorus. Preorder options for Bully, uploaded to the Yeezy website on January 3, 2026, included
All the Love (Kanye West song)
All_the_Love_(Kanye_West_song)
Partially ordered set in which all subsets have both a supremum and infimum
the lower adjoint part of a unique Galois connection. For any pair of preorders X and Y, a Galois connection is given by a pair of monotone functions
Complete_lattice
Home video game console
on November 7, 2017, with a 1 TB model priced at US$499 and a limited, preorder exclusive "Project Scorpio Edition", with a dark-gradient finish, vertical
Xbox_One
2025 Android smartphones developed by Google
music video of "I Can't Lose" which was also filmed on the Pixel 10 Pro. Preorders began the same day, and it was eventually released in the United States
Pixel_10
2025 studio album by the Weeknd
the concert on September 7, the album cover was revealed, with album preorders on vinyl and CDs subsequently being opened through the XO webstore. Four
Hurry_Up_Tomorrow
and then listing these numbers in the order they would be visited by a preorder traversal of the tree: the root first, then the left subtree, then the
Stack-sortable_permutation
2024 video game
Chris (18 November 2024). "Lego Horizon Adventures New Lego Set Is Up for Preorder". IGN. Archived from the original on 18 November 2024. Retrieved 14 March
Lego_Horizon_Adventures
Set theory concept
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Club_set
Season of South Korean television series
2022. Reed, Chris (October 22, 2021), Squid Game Funko Pops Are Up for Preorder, archived from the original on November 19, 2021, retrieved November 19
Squid_Game_season_1
English singer, songwriter and actor (born 1994)
August 2024). "Zendaya and Harry Styles Children's Books Are Available for Preorder". Entertainment Tonight. Archived from the original on 14 September 2024
Harry_Styles
Binary relation which never occurs in both directions
Equivalence relation Y ✗ ✗ ✗ ✗ ✗ Y ✗ ✗ Preorder (Quasiorder) ✗ ✗ ✗ ✗ ✗ ✗ Y ✗ ✗ Partial order ✗ Y ✗ ✗ ✗ ✗ Y ✗ ✗ Total preorder ✗ ✗ Y ✗ ✗ ✗ Y ✗ ✗ Total order ✗
Asymmetric_relation
Partially ordered set equipped with a rank function
Binary relation Boolean algebra Cyclic order Lattice Partially ordered set Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein
Graded_poset
2023 fantasy novel by Alix E. Harrow
Edition)". Barnes & Noble. Retrieved December 3, 2024. "Starling House (preorder)". Subterranean Press. Retrieved December 4, 2024. "Starling House". Kirkus
Starling_House
Mathematical concept for comparing objects
Equivalence relation Y ✗ ✗ ✗ ✗ ✗ Y ✗ ✗ Preorder (Quasiorder) ✗ ✗ ✗ ✗ ✗ ✗ Y ✗ ✗ Partial order ✗ Y ✗ ✗ ✗ ✗ Y ✗ ✗ Total preorder ✗ ✗ Y ✗ ✗ ✗ Y ✗ ✗ Total order ✗
Well-quasi-ordering
PREORDER
PREORDER
PREORDER
PREORDER
Girl/Female
Native American
Pretty flower.
Female
Yiddish
Yiddish form of Hebrew Diynah, DINE means "judgment."
Boy/Male
English
ModernJaron 'cry of rejoicing.
Girl/Female
American, Anglo, Australian, British, Chinese, Christian, English, French, German, Greek, Hebrew, Japanese
The Fifth Month of the Year; Kinswomen; May; The Month May was Goddess of Spring Growth; Bitter; Pearl; Beloved
Girl/Female
Latin
Warring.
Girl/Female
German
Of the race of women. White wave. Famous bearer: Saint Genevieve is the patron saint of Paris,...
Girl/Female
Australian, British, English, French, German
Renowned Battle; Famous Battle
Boy/Male
Hindu
Couple
Boy/Male
Tamil
Formless
Girl/Female
Tamil
PREORDER
PREORDER
PREORDER
PREORDER
PREORDER
v. t.
To order to arrange beforehand; to foreordain.