totally ordered set
partially ordered set
ordered set
linear order
order
poset
forward
totally ordered
chain
backorder
Frink ideal
systematic
bank
distribute
stagger
sequence
commission
orderable
alphabetical
inorder
alphabetized
alphabetic
alphabetised
cofinal
in
taxo-
marshal
filtration
permutation
total ordering relation
lectic
meandric number
alphabetise
severally
seriate
order up
respectively
alphabetically
alphabetize
alphasorted
orderedness
semiorder
enumerate
reorder
methodically
combination
randomize
well-order
pomset
randomise
organize
ordering
set
catalog
set up
methodical
arrange
melonic
catalogue
family
syntax
pseudoideal
lexicographic order
ungraded
unranked
tomset
unordered
polyton
neaten
dictatingly
straighten
straighten out
square away
make
make up
tidy
tidy up
clean up
settle
dispose
array
subsequence
stairsteps
ordain
sorted
Zorn's lemma
forward
totally ordered
systematic
orderable
alphabetical
alphabetized
alphabetic
alphabetised
cofinal
lectic
alphasorted
seriate
methodical
melonic
ungraded
unranked
unordered
stairsteps
sorted
tidy
forward
severally
respectively
alphabetically
methodically
dictatingly
totally ordered set
partially ordered set
ordered set
linear order
order
poset
chain
Frink ideal
filtration
sequence
permutation
total ordering relation
meandric number
orderedness
semiorder
combination
pomset
ordering
catalog
catalogue
family
syntax
pseudoideal
lexicographic order
tomset
polyton
array
subsequence
backorder
bank
order
distribute
stagger
sequence
commission
inorder
marshal
alphabetise
seriate
order up
alphabetize
enumerate
reorder
randomize
well-order
randomise
organize
set
set up
arrange
neaten
straighten
straighten out
square away
make
make up
tidy
tidy up
clean up
settle
dispose
ordain
noun
noun
- A partially ordered set.
- The relation on a partially ordered set that determines that it is, in fact, a partially ordered set.
- The state of being well arranged.
- A group of religious adherents, especially monks or nuns, set apart within their religion by adherence to a particular rule or set of principles.
- The overall power of the rate law of a chemical reaction, expressed as a polynomial function of concentrations of reactants and products.
- A number of things or persons arranged in a fixed or suitable place, or relative position; a rank; a row; a grade; especially, a rank or class in society; a distinct character, kind, or sort.
- A position in an arrangement, disposition, or sequence.
- A request for some product or service; a commission to purchase, sell, or supply goods.
- The disposition of a column and its component parts, and of the entablature resting upon it, in classical architecture; hence (since the column and entablature are the characteristic features of classical architecture) a style or manner of architectural design.
- The number of vertices in a graph.
- The cardinality, or number of elements in a set, group, or other structure regardable as a set.
- The sequence in which a side’s batsmen bat; the batting order.
- A written direction to furnish someone with money or property; compare money order, postal order.
- An association of knights.
- Arrangement, disposition, or sequence.
- Any group of people with common interests.
- A decoration, awarded by a government, a dynastic house, or a religious body to an individual, usually for distinguished service to a nation or to humanity.
- A category in the classification of organisms, ranking below class and above family; a taxon at that rank.
- Conformity with law or decorum; freedom from disturbance; general tranquillity; public quiet.
- A command.
- An ecclesiastical rank or position, usually for the sake of ministry, (especially, when plural) holy orders.
- A power of polynomial function in an electronic circuit’s block, such as a filter, an amplifier, etc.
- For given group G and element g ∈ G, the smallest positive natural number n, if it exists, such that (using multiplicative notation), gⁿ = e, where e is the identity element of G; if no such number exists, the element is said to be of infinite order (or sometimes zero order).
- The sum of the exponents on the variables in a monomial, or the highest such among all monomials in a polynomial.
verb
adj
- Having the usual order or sequence.
- Acting in or pertaining to the direction of travel or movement.
- Situated toward or at the front of something.
- Situated toward or near the enemy lines.
- Without customary restraint or modesty; bold, cheeky, pert, presumptuous or pushy.
- Expected or scheduled to take place in the future.
- Advanced beyond the usual degree; advanced for the season; precocious.
- Moving in the desired direction of progress.
- Acting in or pertaining to the direction in which someone or something is facing.
adv
- In the usual order or sequence.
- To an earlier point in time. See also bring forward.
- In the direction in which someone or something is facing.
- At, near or towards the front of something.
- Into the future.
- At, near, or towards the bow of a vessel (with the frame of reference within the vessel).
- In the desired or usual direction of movement or progress, physically or figuratively; onwards.
- So that front and back are in the usual orientation.
verb
- To send (a letter, email etc.) on to a third party.
- To assemble (a book) by sewing sections, attaching cover boards, and so on.
- To advance, promote.
noun
- One of the eight players (comprising two props, one hooker, two locks, two flankers and one number eight, collectively known as the pack) whose primary task is to gain and maintain possession of the ball (compare back).
- A player on a team in football (soccer) in the row nearest to the opposing team's goal, who are therefore principally responsible for scoring goals.
- The small forward or power forward position; two frontcourt positions that are taller than guards but shorter than centers.
- An umbrella term for a centre or winger in ice hockey.
- The front part of a vessel.
- An e-mail message that is forwarded to another recipient or recipients; an electronic chain letter.
- A direct agreement between two parties to buy or sell an asset at a specific point in the future; distinguished from a futures contract in that the latter is standardized and traded on an exchange.
noun
- A totally ordered set, especially a totally ordered subset of a poset.
- A series of interconnected links of known length, used as a measuring device.
- A series of stores or businesses with the same brand name.
- A number of atoms in a series, which combine to form a molecule.
- A unit of length equal to 22 yards. The length of a Gunter's surveying chain. The length of a cricket pitch. Equal to 20.12 metres, 4 rods, or 100 links.
- That which confines, fetters, or secures; a bond.
- A series of interconnected rings or links usually made of metal.
- Iron links bolted to the side of a vessel to bold the dead-eyes connected with the shrouds; also, the channels.
- A long measuring tape.
- A sequence of linked house purchases, each of which is dependent on the preceding and succeeding purchase (said to be "broken" if a buyer or seller pulls out).
- A livery collar, a chain of office.
- The warp threads of a web.
- A series of interconnected things.
verb
- To link multiple items together.
- To connect as if with a chain, due to dependence, addiction, or other feelings
- To measure a distance using a 66-foot long chain, as in land surveying.
- To relate data items with a chain of pointers.
- To obstruct the mouth of a river etc with a chain.
- To obligate.
- To fasten something with a chain.
- To secure someone with fetters.
- To load and automatically run (a program).
- To be chained to another data item.
verb
- To arrange or order in a row.
- To put into a bank.
- To raise a mound or dike about; to enclose, defend, or fortify with a bank; to embank.
- To provide additional power for a train ascending a bank (incline) by attaching another locomotive.
- To conceal in the rectum for use in prison.
- To deal with a bank or financial institution, or for an institution to provide financial services to a client.
- To cause (an aircraft) to bank.
- To roll or incline laterally in order to turn.
- To form into a bank or heap, to bank up.
- To cover the embers of a fire with ashes in order to retain heat.
noun
- An institution where one can place and borrow money and take care of financial affairs.
- The ground at the top of a shaft.
- A contiguous block of memory that is of fixed, hardware-dependent size, but often larger than a page and partitioning the memory such that two distinct banks do not overlap.
- Money; profit.
- An edge of river, lake, or other watercourse.
- The incline of an aircraft, especially during a turn.
- The regular term of a court of law, or the full court sitting to hear arguments upon questions of law, as distinguished from a sitting at nisi prius, or a court held for jury trials. See banc
- A row or panel of items stored or grouped together.
- A row of keys on a musical keyboard or the equivalent on a typewriter keyboard.
- An incline, a hill.
- A slope of earth, sand, etc.; an embankment.
- The sum of money etc. which the dealer or banker has as a fund from which to draw stakes and pay losses.
- A fund from deposits or contributions, to be used in transacting business; a joint stock or capital.
- A branch office of such an institution.
- A device used to store coins or currency.
- An elevation, or rising ground, under the sea; a shallow area of shifting sand, gravel, mud, and so forth (for example, a sandbank or mudbank).
- A mass noun for a quantity of clouds.
- The face of the coal at which miners are working.
- An underwriter or controller of a card game.
- A set of multiple adjacent drop targets.
- A bench, as for rowers in a galley; also, a tier of oars.
- A bench or seat for judges in court.
- A deposit of ore or coal, worked by excavations above water level.
- In certain games, such as dominos, a fund of pieces from which the players are allowed to draw.
- A safe and guaranteed place of storage for and retrieval of important items or goods.
- A bench, or row of keys belonging to a keyboard, as in an organ.
verb
- to arrange in a systematic order
- administer or bestow, as in small portions
- distribute or disperse widely
- release
- give to several people
- cause to be distributed
- cause to become widely known
- spread throughout a given area
- be distributed or spread, as in statistical analyses
- be mathematically distributive
verb
- to arrange in an order
- to determine the order of things, especially of amino acids in a protein, or of bases in a nucleic acid
- to produce (music) with a sequencer
noun
- A set of things next to each other in a set order; a series
- An ordered list of objects, typically indexed with natural numbers.
- A series of shots that depict a single action or style in a film, television show etc.
- A series of musical phrases where a theme or melody is repeated, with some change each time, such as in pitch or length (example: opening of Beethoven's Fifth Symphony).
- The state of being sequent or following; order of succession.
- A musical composition used in some Catholic Masses between the readings. The most famous sequence is the Dies Irae (Day of Wrath) formerly used in funeral services.
- A meld consisting of three or more cards of successive ranks in the same suit, such as the four, five and six of hearts.
verb
noun
- a special group delegated to consider some matter
- a fee for services rendered based on a percentage of an amount received or collected or agreed to be paid (as distinguished from a salary)
- the act of granting authority to undertake certain functions
- the state of being in good working order and ready for operation
- a group of representatives or delegates
- a formal statement of a command or injunction to do something
- an official document issued by a government and conferring on the recipient the rank of an officer in the armed forces
- the act of committing a crime
- a special assignment that is given to a person or group
prep
- Indicating an order or arrangement.
- Within the bounds or limits of.
- During (a period of time).
- Into.
- Indicates, connotatively, a place-like form of someone's (or something's) personality, as his, her or its psychic and physical characteristics.
- Used to indicate a language, script, tone, etc. of a text, speech, etc.
- Characterized by.
- In replacing the faucet washers, he felt he was making his contribution to the environment.
- Surrounded by; among; amidst.
- Denoting a state of the subject.
- Less water gets in your boots this way.
- In the form of, in the denomination of.
- Contained by.
- Part of; a member of; out of; from among.
- Within (a certain elapsed time); by the end of.
- At the end of (a period of time).
- Wearing (an item of clothing).
- Used to indicate limit, qualification, condition, or circumstance.
- Pertaining to; with regard to.
noun
- One who, or that which, is in; especially, one who is in office.
- A position of power or influence, or a way to get it.
- A re-entrant angle; a nook or corner.
- The state of a batter/batsman who is currently batting; see innings.
adj
- In fashion; popular.
- Falling or remaining within the bounds of the playing area.
- (Britain, Ireland, Australia, New Zealand) Burning; ablaze.
- Having familiarity or involvement with somebody.
- Inserted or fitted into something.
- With privilege or possession; used to denote a holding, possession, or seisin
- Incoming.
- Located indoors, especially at home or at one's office or place of work.
- Having been collected or received.
- Of the tide, at or near its highest level.
- Currently batting.
- He is very in with the Joneses.
- Having a favourable position, such as a position of influence or expected gain, in relation to another person.
- Furled or stowed.
- Located inside something.
adv
- After the beginning of something.
- The show still didn't become interesting 20 minutes in.
- Denotes a gathering of people assembled for the stated activity, sometimes, though not always, suggesting a protest.
- Towards the speaker or other reference point.
- At or towards the interior of a defined space, such as a building or room.
- So as to be enclosed or surrounded by something.
prefix
noun
- An ordering of a finite set of distinct elements.
- A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.
- One of the ways something exists, or the ways a set of objects can be ordered.
- A one-to-one mapping from a finite set to itself.
noun
noun
- the act of arranging elements into specified groups without regard to order
- a collection of things that have been combined; an assemblage of separate parts or qualities
- a coordinated sequence of chess moves
- a sequence of numbers or letters that opens a combination lock
- a group of people (often temporary) having a common purpose
- an alliance of people or corporations or countries for a special purpose (formerly to achieve some antisocial end but now for general political or economic purposes)
- the act of combining things to form a new whole
verb
- To arrange in working order.
- To furnish with organs; to give an organic structure to; to endow with capacity for the functions of life
- To constitute in parts, each having a special function, act, office, or relation; to systematize.
- To sing in parts.
- To band together into a group or union that can bargain and act collectively; to unionize.
verb
- To arrange (type).
- To put in order in a particular manner; to prepare.
- To devise and assign (work) to.
- To have a certain direction of motion; to flow; to move on; to tend.
- To arrange with dishes and cutlery, to set the table.
- To direct (the ball) to a teammate for an attack.
- To place or fix in a setting.
- To extend and bring into position; to spread.
- To place plants or shoots in the ground; to plant.
- To prepare (a stage or film set).
- To lower into place and fix solidly, as the blocks of cut stone in a structure.
- To defeat a contract.
- To become fixed or rigid; to be fastened.
- To put (something) down, to rest.
- To produce after pollination.
- To render stiff or solid; especially, to convert into curd; to curdle.
- To acknowledge a dancing partner by facing him or her and moving first to one side and then to the other, while she or he does the opposite.
- To give a pitch to, as a tune; to start by fixing the keynote.
- To reduce from a dislocated or fractured state.
- To punch (a nail) into wood so that its head is below the surface.
- To hunt game with the aid of a setter.
- To sit (be in a seated position).
- To be fixed for growth; to strike root; to begin to germinate or form.
- To introduce or describe.
- To solidify.
- To rest or lie somewhere, on something, etc.; to occupy a certain place.
- To apply oneself; to undertake earnestly.
- Of a heavenly body, to disappear below the horizon of a planet, etc, as the latter rotates.
- Of a dog, to indicate the position of game.
- To fit (someone) up in a situation.
- To put in a specified condition or state; to cause to be.
- To adjust.
- To compile, to make (a puzzle or challenge).
- To suit; to become.
- To establish as a rule; to furnish; to prescribe; to assign.
- To determine or settle.
- To fit music to words.
- To adorn with something infixed or affixed; to stud; to variegate with objects placed here and there.
- To start (a fire).
- To divide a class group in a subject according to ability
- To locate (a play, etc.); to assign a backdrop to, geographically or temporally.
- To attach or affix (something) to something else, or in or upon a certain place.
noun
- A punch for setting nails in wood.
- The full number of eggs set under a hen.
- The initial or basic formation of dancers.
- A device for receiving broadcast radio waves (or, more recently, broadcast data); a radio or television.
- A young oyster when first attached.
- The act of directing the ball to a teammate for an attack.
- The setting of the sun or other luminary; (by extension) the close of the day.
- The scenery for a film or play.
- Set theory.
- the general locations and area where a movie’s, a film’s, or a video’s scenery is arranged to be filmed also including places for actors, assorted crew, director, producers which are typically not filmed.
- A complete series of games, forming part of a match.
- A group of repetitions of a single exercise performed one after the other without rest.
- The amount the teeth of a saw protrude to the side in order to create the kerf.
- A rudimentary fruit.
- An object made up of several parts.
- General movement; direction; drift; tendency.
- A piece placed temporarily upon the head of a pile when the latter cannot otherwise be reached by the weight, or hammer.
- The camber of a curved roofing tile.
- A drum kit, a drum set.
- A class group in a subject where pupils are divided by ability.
- A bias of mind; an attitude or pattern of behaviour.
- A collection of zero or more objects, possibly infinite in size, and disregarding any order or repetition of the objects which may be contained within it.
- A musical performance by a band, disc jockey, etc., consisting of several musical pieces.
- Three of a kind, especially if two cards are in one's hand and the third is on the board. Compare trips (“three of a kind, especially with two cards on the board and one in one's hand”).
- A young plant fit for setting out; a slip; shoot.
- A small tuber or bulb used instead of seed, particularly onion sets and potato sets.
- Collectively, the crop of young oysters in any locality.
- A series or group of something. (Note the similar meaning in Etymology 4, Noun)
- A group of people, usually meeting socially.
- The manner, state, or quality of setting or fitting; fit.
- The pattern of a tartan, etc.
- A collection of various objects for a particular purpose.
- A permanent change of shape caused by excessive strain, as from compression, tension, bending, twisting, etc.
- A matching collection of similar things. (Note the similar meaning in Etymology 2, Noun.)
- A complete series of points, forming part of a match.
adj
verb
- put into a proper or systematic order
- set up or found
- create by putting components or members together
- construct, build, or erect
- get ready for a particular purpose or event
- begin, or enable someone else to begin, a venture by providing the means, logistics, etc.
- take or catch as if in a snare or trap
- produce
- set up for use
- place
- arrange the outcome of by means of deceit
- erect and fasten
- arrange thoughts, ideas, temporal events
- equip with sails or masts
- make ready or suitable or equip in advance for a particular purpose or for some use, event, etc
noun
- A collection of sets, especially of subsets of a given set.
- A group of instruments having the same basic method of tone production.
- A nuclear family: a mother and father who are married and cohabiting and their child or children.
- A (close-knit) group of people related by blood, friendship, marriage, law, or custom, especially if they live or work together.
- A category in the classification of organisms, ranking below order and above genus; a taxon at that rank.
- An extended family: a group of people who are related to one another by blood or marriage.
- A group of people who are closely related to one another (by blood, marriage or adoption); kin; in particular, a set of parents and their children; an immediate family.
- Members of one's family collectively.
- Lineage, especially honorable or noble lineage.
- Any group or aggregation of things classed together as kindred or related from possessing in common characteristics which distinguish them from other things of the same order.
- A group of languages believed to have descended from the same ancestral language.
adj
name
noun
- Given sets (A₁, A₂, ..., Aₙ) and their total orderings (<₁, <₂, ..., <ₙ), the order <ᵈ of A₁ × A₂ × ... × Aₙ such that (a₁, a₂, ..., aₙ) <ᵈ (b₁,b₂, ..., bₙ) iff (∃m > 0) (∀ i < m) (aᵢ = bᵢ ) and (aₘ <ₘ bₘ )
- Formally, given two partially ordered sets A and B, the order ≤ on the Cartesian product A × B such that (a,b) ≤ (a′,b′) if and only if a < a′ or (a = a′ and b ≤ b′).
verb
- put in order or neaten
- engage in
- give certain properties to something
- make or cause to be or to become
- cause to do; cause to act in a specified manner
- give rise to; cause to happen or occur, not always intentionally
- create or manufacture a man-made product
- make, formulate, or derive in the mind
- compel or make somebody or something to act in a certain way
- create by artistic means
- earn on some commercial or business transaction; earn as salary or wages
- create or design, often in a certain way
- to compose or represent
- reach a goal
- be or be capable of being changed or made into
- make by shaping or bringing together constituents
- perform, produce, or carry out
- make by combining materials and parts
- change from one form into another
- act in a certain way so as to acquire
- charge with a function; charge to be
- achieve a point or goal
- reach a destination, either real or abstract
- institute, enact, or establish
- carry out or commit
- form by assembling individuals or constituents
- organize or be responsible for
- head into a specified direction
- have a bowel movement
- undergo fabrication or creation
- be suitable for
- add up to
- amount to
- constitute the essence of
- appear to begin an activity
- proceed along a path
- reach in time
- gather and light the materials for
- prepare for eating by applying heat
- induce to have sex
- assure the success of
- represent fictitiously, as in a play, or pretend to be or act like
- consider as being
- calculate as being
- cause to be enjoyable or pleasurable
- favor the development of
- develop into
- behave in a certain manner
- eliminate urine
noun
verb
- arrange or fix in the desired order
- settle into a position, usually on a surface or ground
- bring to an end; settle conclusively
- settle conclusively; come to terms
- take up residence and become established
- come to terms
- go under
- become settled or established and stable in one's residence or life style
- become resolved, fixed, established, or quiet
- establish or develop as a residence
- come to rest
- accept despite lack of complete satisfaction
- end a legal dispute by arriving at a settlement
- dispose of; make a financial settlement
- become clear by the sinking of particles
- cause to become clear by forming a sediment (of liquids)
- sink down or precipitate
- fix firmly
- get one's revenge for a wrong or an injury
- make final; put the last touches on; put into final form
- form a community
- come as if by falling
noun
English words for 'A set having a specified total order.'
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