ordering

n. making of an official request for purchase; commanding; arranging

v. command; request something (i.e. "I wish to order coffee and cake"); arrange; manage

Order theory is a branch of mathematics that studies various kinds of binary relations that capture the intuitive notion of a mathematical ordering. This article gives a detailed introduction to the field and includes some of the most basic definitions. For a quick lookup of order-theoretic terms, there is also an order theory glossary. A list of order topics collects the various articles in the vicinity of order theory.
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Noun
1. logical or comprehensible arrangement of separate elements; "we shall consider these questions in the inverse order of their presentation"
(synonym) order, ordination
(hypernym) arrangement
(hyponym) bacteria order
(derivation) arrange, set up, put, order
2. putting in order; "there were mistakes in the ordering of items on the list"
(synonym) order
(hypernym) organization, organisation
(hyponym) rank order
(derivation) rate, rank, range, order, grade, place

Noun
1. (often plural) a command given by a superior (e.g., a military or law enforcement officer) that must be obeyed; "the British ships dropped anchor and waited for orders from London"
(hypernym) command, bid, bidding, dictation
(hyponym) marching orders
(derivation) prescribe, dictate
(classification) military, armed forces, armed services, military machine, war machine
(classification) plural, plural form
2. a degree in a continuum of size or quantity; "it was on the order of a mile"; "an explosion of a low order of magnitude"
(synonym) order of magnitude
(hypernym) magnitude
(derivation) rate, rank, range, grade, place
3. established customary state (especially of society); "order ruled in the streets"; "law and order"
(antonym) disorder
(hypernym) state
(hyponym) civil order, polity
(derivation) regulate, regularize, regularise, govern
4. logical or comprehensible arrangement of separate elements; "we shall consider these questions in the inverse order of their presentation"
(synonym) ordering, ordination
(hypernym) arrangement
(hyponym) bacteria order
(derivation) arrange, set up, put
5. a condition of regular or proper arrangement; "he put his desk in order"; "the machine is now in working order"
(synonym) orderliness
(antonym) disorderliness, disorder
(hypernym) condition, status
(hyponym) spit and polish
6. a legally binding command or decision entered on the court record (as if issued by a court or judge); "a friend in New Mexico said that the order caused no trouble out there"
(synonym) decree, edict, fiat, rescript
(hypernym) act, enactment
(hyponym) consent decree
(derivation) prescribe, dictate
(classification) law, jurisprudence
7. a commercial document used to request someone to supply something in return for payment and providing specifications and quantities; "IBM received an order for a hundred computers"
(synonym) purchase order
(hypernym) commercial document, commercial instrument
(hyponym) credit order, bill-me order
8. a formal association of people with similar interests; "he joined a golf club"; "they formed a small lunch society"; "men from the fraternal order will staff the soup kitchen today"
(synonym) club, society, guild, gild, lodge
(hypernym) association
(hyponym) athenaeum, atheneum
(member-meronym) club member
(derivation) ordain, consecrate, ordinate
9. a body of rules followed by an assembly
(synonym) rules of order, parliamentary law, parliamentary procedure
(hypernym) rule, prescript
(hyponym) interpellation
(class) proposer, mover
10. (usually plural) the status or rank or office of a Christian clergyman in an ecclesiastical hierarchy; "theologians still disagree over whether `bishop' should or should not be a separate order"
(synonym) holy order
(hypernym) status, position
(hyponym) acolyte
11. a group of person living under a religious rule; "the order of Saint Benedict"
(synonym) monastic order
(hypernym) sect, religious sect, religious order
(hyponym) Augustinian order
12. (biology) taxonomic group containing one or more families
(hypernym) taxonomic group, taxonomic category, taxon
(hyponym) animal order
(member-holonym) class
(member-meronym) suborder
(classification) biology, biological science
13. a request for food or refreshment (as served in a restaurant or bar etc.); "I gave the waiter my order"
(hypernym) request, asking
(hyponym) short order
14. (architecture) one of original three styles of Greek architecture distinguished by the type of column and entablature used or a style developed from the original three by the Romans
(hypernym) artistic style, idiom
(hyponym) Doric order, Dorian order
(classification) architecture
15. putting in order; "there were mistakes in the ordering of items on the list"
(synonym) ordering
(hypernym) organization, organisation
(hyponym) rank order
Verb
1. give instructions to or direct somebody to do something with authority; "I said to him to go home"; "She ordered him to do the shopping"; "The mother told the child to get dressed"
(synonym) tell, enjoin, say
(hypernym) request
(hyponym) direct
(derivation) decree, edict, fiat, rescript
2. make a request for something; "Order me some flowers"; "order a work stoppage"
(hypernym) request, bespeak, call for, quest
(hyponym) reorder
(derivation) purchase order
3. issue commands or orders for
(synonym) prescribe, dictate
(hypernym) inflict, bring down, visit, impose
(hyponym) mandate
(derivation) decree, edict, fiat, rescript
4. bring into conformity with rules or principles or usage; impose regulations; "We cannot regulate the way people dress"; "This town likes to regulate"
(synonym) regulate, regularize, regularise, govern
(hypernym) decide, make up one's mind, determine
(hyponym) standardize, standardise
5. bring order to or into; "Order these files"
(antonym) disorder, disarray
(hypernym) arrange, set up
(hyponym) tidy, tidy up, clean up, neaten, straighten, straighten out, square away
(derivation) ordering, ordination
6. place in a certain order; "order these files"
(hypernym) arrange, set up
(derivation) ordering, ordination
7. appoint to a clerical posts; "he was ordained in the Church"
(synonym) ordain, consecrate, ordinate
(hypernym) invest, vest, enthrone
(derivation) club, society, guild, gild, lodge
8. arrange thoughts, ideas, temporal events, etc.; "arrange my schedule"; "set up one's life"; "I put these memories with those of bygone times"
(synonym) arrange, set up, put
(hypernym) organize, organise
(hyponym) synchronize, synchronise, contemporize, contemporise
(derivation) ordering, ordination
9. assign a rank or rating to; "how would you rank these students?"; "The restaurant is rated highly in the food guide"
(synonym) rate, rank, range, grade, place
(hypernym) judge
(hyponym) superordinate
(derivation) order of magnitude

(p pr. & vb. n.)
of Order
  

(n.)
Disposition; distribution; management.
  

A relation.
See partial ordering, pre-order, total ordering.