chain
ordered set
totally ordered set
Frink ideal
partially ordered set
family
totally ordered
order type
discrete topology
order
filtration
sequence
Zorn's lemma
order tree
hyperstructure
poset
subboset
classically
tomset
metaset
lot
linear order
cofinal
lattice
Galois connection
stagger
distribute
hierarchy
setwise
hom-set
pomset
relation
multichain
readying
preparation
principal ultrafilter
sum
join
combination
axiom of union
union
marshal
neaten
straighten
tidy up
arrange
straighten out
collection
square away
clean up
set up
tidy
forward
base
complete lattice
dispose
total ordering relation
catalogue
multiset
greedoid
subset
methodically
axiom of infinity
catalog
inorder
recursively enumerable
systematic
set theoretically
lectic
block design
permutation
polymerous
absolute complement
backorder
seriate
semiorder
one-to-one
algebraic poset
syntax
two
rowmotion
locale
algebraic structure
dismantlable
put store by
sets
systematize
set
randomize
subconfiguration
hyperoperator
randomise
put store in
domain theory
totally ordered
cofinal
setwise
forward
recursively enumerable
systematic
lectic
polymerous
seriate
one-to-one
dismantlable
classically
forward
methodically
set theoretically
chain
ordered set
totally ordered set
Frink ideal
partially ordered set
family
order type
discrete topology
order
filtration
sequence
order tree
hyperstructure
poset
subboset
tomset
metaset
lot
linear order
lattice
Galois connection
hierarchy
hom-set
pomset
relation
multichain
readying
preparation
principal ultrafilter
sum
join
combination
axiom of union
union
collection
base
complete lattice
total ordering relation
catalogue
multiset
greedoid
subset
axiom of infinity
catalog
block design
permutation
absolute complement
semiorder
algebraic poset
syntax
rowmotion
locale
algebraic structure
sets
set
subconfiguration
hyperoperator
domain theory
stagger
distribute
marshal
neaten
straighten
tidy up
arrange
straighten out
square away
clean up
set up
tidy
dispose
inorder
order
backorder
sequence
put store by
systematize
randomize
randomise
put store in
seriate
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.
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.
name
adj
noun
- The relation on a partially ordered set that determines that it is, in fact, a partially ordered set.
- 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
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
noun
- All members of a set; everything.
- That which happens without human design or forethought.
- One or more items auctioned or sold as a unit, separate from other items.
- A large quantity or number; a great deal.
- Anything (as a die, pebble, ball, or slip of paper) used in determining a question by chance, or without human choice or will.
- A number of people taken collectively.
- A distinct portion or plot of land, usually smaller than a field.
- A separate portion; a number of things taken collectively.
- A prize in a lottery.
- Allotment; lottery.
- An old unit of weight used in many European countries from the Middle Ages, often defined as 1/30 or 1/32 of a (local) pound.
- The part, or fate, that falls to one, as it were, by chance, or without one's planning.
noun
noun
- A partially ordered set in which every pair of elements has a unique supremum and a unique infimum.
- A regular spacing or arrangement of geometric points, often decorated with a motif.
- A discrete subgroup of Rⁿ which is isomorphic to Zⁿ (considered as an additive group) and spans the real vector space Rⁿ.
- A flat panel constructed with widely-spaced crossed thin strips of wood or other material, commonly used as a garden trellis.
- A bearing with vertical and horizontal bands that cross each other.
- A discrete subgroup L of a given locally compact group G whose quotient space G/L has finite invariant measure.
- A model of the tuning relationships of a just intonation system, comprising an array of points in a periodic multidimensional pattern.
verb
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
noun
- Specifically, a set of ordered pairs; a binary relation.
- The manner in which two things may be associated.
- A set of ordered tuples.
- A set of ordered tuples retrievable by a relational database; a table.
- The act of intercourse.
- The act of relating a story.
- A member of one's extended family; a relative.
- A statement of equality of two products of generators, used in the presentation of a group.
- A subobject of a product of objects.
noun
- the activity of putting or setting in order in advance of some act or purpose
- a substance prepared according to a formula
- the cognitive process of thinking about what you will do in the event of something happening
- the state of having been made ready or prepared for use or action (especially military action)
- (music) a note that produces a dissonant chord is first heard in a consonant chord
- activity leading to skilled behavior
- preparatory school work done outside school (especially at home)
- the act of preparing something (as food) by the application of heat
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
noun
- a set containing all and only the members of two or more given sets
- an organization of employees formed to bargain with the employer
- the act of pairing a male and female for reproductive purposes
- the state of being joined or united or linked
- the state of being a married couple voluntarily joined for life (or until divorce)
- healing process involving the growing together of the edges of a wound or the growing together of broken bones
- a political unit formed from previously independent people or organizations
- the occurrence of a uniting of separate parts
- a device on a national flag emblematic of the union of two or more sovereignties (typically in the upper inner corner)
- the act of making or becoming a single unit
adj
noun
- A set of sets; used because such a thing is in general too large to comply with the formal definition of a set.
- A set of college exams generally taken at the start of the term.
- The jurisdiction of a collector of excise.
- The activity of collecting.
- Multiple related objects associated as a group.
- The quality of being collected; calm composure.
- A gathering of money for charitable or other purposes, as by passing a contribution box for donations.
- A set of items or amount of material procured or gathered together.
- Debt collection.
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
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.
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.
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.
verb
noun
- The set of sets from which a topology is generated.
- A basic but essential component or ingredient.
- Foundation: a cosmetic cream to make the face appear uniform.
- A topological space, looked at in relation to one of its covering spaces, fibrations, or bundles.
- The smallest kind of cannon.
- A line in a survey which, being accurately determined in length and position, serves as the origin from which to compute the distances and positions of any points or objects connected with it by a system of triangles.
- The forces and relations of production that produce the necessities and amenities of life.
- The name of the controlling terminal of a bipolar transistor (BJT).
- Something from which other things extend; a foundation.
- A safe zone in the children's games of tag and hide-and-go-seek.
- The lowest side of a triangle or other polygon, or the lowest face of a cone, pyramid or other polyhedron laid flat.
- freebase cocaine
- A nucleotide's nucleobase in the context of a DNA or RNA biopolymer.
- The starting point of a logical deduction or thought; basis.
- In hand-to-hand balance, the person who supports the flyer; the person that remains in contact with the ground.
- A group of voters who almost always support a single party's candidates for elected office.
- A substance used as a mordant in dyeing.
- A material that holds paint or other materials together; a binder.
- A number raised to the power of an exponent.
- A supporting, lower or bottom component of a structure or object.
- Any of a class of generally water-soluble compounds, having bitter taste, that turn red litmus blue, and react with acids to form salts.
- The end of a leaf, petal or similar organ where it is attached to its support.
- A kind of skirt (often of velvet or brocade, but sometimes of mail or other armour) which hung from the middle to about the knees, or lower.
- A sequence of elements not jointly stabilized by any nontrivial group element.
- The lowermost part of a column, between the shaft and the pedestal or pavement.
- A morpheme (or morphemes) that serves as a basic foundation on which affixes can be attached.
- Synonym of radix.
- The game of prisoners' bars.
- The lowest third of a shield or escutcheon.
- The lower part of the field. See escutcheon.
- The place where decisions for an organization are made; headquarters.
- A permanent structure for housing military personnel and material.
- One of the four places that a runner can stand without being subject to being tagged out when the ball is in play.
adj
- Low in place or position.
- Morally reprehensible, immoral; cowardly.
- Not held by honourable service.
- Not considered precious or noble.
- Not classical or correct.
- Alloyed with inferior metal; debased.
verb
noun
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
- A partially ordered set with the following additional axiomatic properties: any finite subset of it has a meet, any arbitrary subset of it has a join, and distributivity, which states that a binary meet distributes with respect to an arbitrary join. (Note: locales are just like frames except that the category of locales is opposite to the category of frames.)
- The set of settings related to the language and region in which a computer program executes. Examples are language, currency and time formats, character encoding etc.
- The place where something happens.
noun
- a mathematical object comprising a carrier set (aka underlying set or domain), an optional scalar set, a set of operations (typically binary operations, but otherwise each of finite arity) and a set of identities (axioms) which the operations must satisfy.
- Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra;
adj
- The property of an ordered set such that its elements can be listed in an order such that, for every element, the element is irreducible (has exactly one upper or lower cover) in the subset consisting of that element and all subsequent elements.
- The property of a graph such that its vertices can be listed in an order such that, for every vertex, the vertex is a subdominant vertex (has an adjacent vertex that is adjacent to every other vertex that it is adjacent to) in the induced subgraph generated by that vertex and all subsequent vertices.
- Capable of being dismantled, or taken apart.
noun
noun
- Set theory.
- 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.
- 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
- Fixed in one’s opinion.
- Fixed in a certain style.
- Ready, prepared.
- Rigid, solidified.
- Prearranged.
- Fixed in position.
- Intent, determined (to do something).
verb
- 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 put in order in a particular manner; to prepare.
- 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 arrange (type).
- 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.
English words for 'A totally ordered set, especially a totally ordered subset of a poset.'
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