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noun
- (set theory, countable) A collection of sets, especially of subsets of a given set.
- (uncountable) Lineage, especially honorable or noble lineage.
- (music) A group of instruments having the same basic method of tone production.
- (uncountable, gay slang) The gay community.
- A (close-knit) group of people related by blood, friendship, marriage, law, or custom, especially if they live or work together.
- 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.
- (linguistics) A group of languages believed to have descended from the same ancestral language.
- 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 nuclear family: a mother and father who are married and cohabiting and their child or children.
- (biology, taxonomy) A category in the classification of organisms, ranking below order and above genus; a taxon at that rank.
- (uncountable) Members of one's family collectively.
- An extended family: a group of people who are related to one another by blood or marriage.
- a person having kinship with another or others
- a social unit living together
- people descended from a common ancestor
- a loose affiliation of gangsters in charge of organized criminal activities
- an association of people who share common beliefs or activities
- a collection of things sharing a common attribute
- primary social group; parents and children
- (biology) a taxonomic group containing one or more genera
adj
noun
noun
- (set theory) The set containing all the elements that are common to two or more sets.
- (geometry) The point or set of points common to two geometrical objects (such as the point where two lines meet or the line where two planes intersect).
- Any overlap, confluence, or crossover.
- (sports) The element where two or more straight lines of synchronized skaters pass through each other.https://web.archive.org/web/20120214131704/http://www.isu.org/vsite/vcontent/content/transnews/0,10869,4844-128590-19728-18885-295370-3787-4771-layout160-129898-news-item,00.html
- The junction of two (or more) paths, streets, highways, or other thoroughfares.
- (category theory) The pullback of a corner of monics.
- a point or set of points common to two or more geometric configurations
- the act of intersecting (as joining by causing your path to intersect your target's path)
- the set of elements common to two or more sets
- a point where lines intersect
- a representation of common ground between theories or phenomena
- a junction where one street or road crosses another
noun
- (mathematics) A bracketed list that shows the elements of a set.
- A schedule or timetable setting out shift times and dates for each employee of a business.
- A list of the jobs to be performed by members of an organization and often with the date and time that they are expected to perform them.
- A list of individuals or groups, usually for an organization of some kind such as military officers and enlisted personnel enrolled in a particular unit; a muster roll; a sports team, with the names of players who are eligible to be placed in the lineup for a particular game; or a list of students officially enrolled in a school or class.
- a list of names
verb
adj
- (set theory) 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.
- (graph theory) 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
- (set theory, of two sets X and Y) The set of all possible ordered pairs of elements, the being first from X, the second from Y, written X×Y. Formally, the set (x,y);|;x∈X;and;y∈Y.
- (mathematics) Any of several generalizations of the set-theoretic sense, especially one which shares the geometrical intuition outlined above, i.e. one such that the product can be thought of as an object in its own right and not just as a set of pairs.
- (geometry, of an m-dimensional space X and an n-dimensional space Y) An (m+n)-dimensional space, formally composed of all possible ordered pairs of points from X and Y, but thought of as an independent (m+n)-dimensional space (in the sense that if, e.g. X and Y are vector spaces, the elements of X×Y are thought of as (m+n)-tuples instead of ordered pairs) and written X×Y.
- (databases) All possible combinations of rows between all of the tables listed.
- the set of ordered pairs of two given sets
noun
- (set theory) An element of a set.
- Part of an animal capable of performing a distinct office; an organ; a limb.
- (Australia, law) the judge or adjudicator in a consumer court.
- (object-oriented programming) A function or piece of data associated with each separate instance of a class.
- (mathematics) Either of the two parts of an algebraic equation, connected by the equality sign.
- (euphemistic) The penis.
- One who belongs to a group.
- A part of a whole.
- A part of a discourse or of a period, sentence, or verse; a clause.
- (logic) One of the propositions making up a syllogism.
- (computing) A file stored within an archive file.
- the male sex organ
- one of the persons who compose a social group (especially individuals who have joined and participate in a group organization)
- an external body part that projects from the body
- anything that belongs to a set or class
- an organization that is a member of another organization (especially a state that belongs to a group of nations)
noun
- (countable, set theory) The set containing all of the elements of two or more sets.
- (countable) A trade union; a workers' union.
- (historical) An affiliation of several parishes for joint support and management of their poor; also the jointly-owned workhouse.
- (countable) The act or state of marriage.
- (countable) An association of students at a university for social and/or political purposes; also in some cases a debating body.
- (countable) A joint or other connection uniting parts of machinery, such as pipes.
- (countable) The act of uniting or joining two or more things into one.
- (countable, programming) A data structure that can store any of various types of item, but only one at a time.
- (countable) Something united, or made one; something formed by a combination or coalition of parts or members; a confederation; a consolidated body; a league.
- (uncountable) The state of being united or joined; a state of unity or harmony.
- the act of pairing a male and female for reproductive purposes
- healing process involving the growing together of the edges of a wound or the growing together of broken bones
- a device on a national flag emblematic of the union of two or more sovereignties (typically in the upper inner corner)
- an organization of employees formed to bargain with the employer
- the act of making or becoming a single unit
- the state of being a married couple voluntarily joined for life (or until divorce)
- a set containing all and only the members of two or more given sets
- a political unit formed from previously independent people or organizations
- the state of being joined or united or linked
- the occurrence of a uniting of separate parts
adj
verb
noun
- (in plural, “sets”, mathematics, informal) Set theory.
- The full number of eggs set under a hen.
- The pattern of a tartan, etc.
- The amount by which the teeth of a saw protrude to the side in order to create the kerf.
- A collection of various objects for a particular purpose.
- (horticulture) A small tuber or bulb used instead of seed, particularly onion sets and potato sets.
- A rudimentary fruit.
- (engineering) 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.)
- (music) A musical performance by a band, disc jockey, etc., consisting of several musical pieces.
- (volleyball) A complete series of points, forming part of a match.
- (exercise) A group of repetitions of a single exercise performed one after the other without rest.
- A young plant fit for setting out; a slip; shoot.
- A device for receiving broadcast radio waves (or, more recently, broadcast data); a radio or television.
- (tennis) A complete series of games, forming part of a match.
- A group of people, usually meeting socially or connected through some shared interest, activity, attribute, etc.
- A young oyster when first attached.
- The scenery for a film or play.
- (poker, slang) 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”).
- The setting of the sun or other luminary; (by extension) the close of the day.
- (music) A drum kit, a drum set.
- (piledriving) A piece placed temporarily upon the head of a pile when the latter cannot otherwise be reached by the weight, or hammer.
- An object made up of several parts.
- A tool for dressing forged iron.
- A punch for setting nails in wood.
- (volleyball) The act of directing the ball to a teammate for an attack.
- Collectively, the crop of young oysters in any locality.
- (UK, education) A class group in a subject where pupils are divided by ability.
- (literally and figuratively) General movement; direction; drift; tendency.
- Alternative form of sett (“piece of quarried stone”).
- A bias of mind; an attitude or pattern of behaviour.
- Alternative form of sett (“a hole made and lived in by a badger”).
- (dance) The initial or basic formation of dancers.
- (colloquial) The manner, state, or quality of setting or fitting; fit.
- (set theory) 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.
- 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 series or group of something. (Note the similar meaning in Etymology 4, Noun)
- The camber of a curved roofing tile.
- Alternative form of sett (“pattern of threads and yarns”).
- an unofficial association of people or groups
- a group of things of the same kind that belong together and are so used
- several exercises intended to be done in series
- (mathematics) an abstract collection of numbers or symbols
- (psychology) being temporarily ready to respond in a particular way
- a relatively permanent inclination to react in a particular way
- the process of becoming hard or solid by cooling or drying or crystallization
- the act of putting something in position
- the descent of a heavenly body below the horizon
- a unit of play in tennis or squash
- any electronic equipment that receives or transmits radio or tv signals
- representation consisting of the scenery and other properties used to identify the location of a dramatic production
adj
- Intent, determined (to do something).
- Rigid, solidified.
- Fixed in one’s opinion.
- Fixed in position.
- Ready, prepared.
- (of hair) Fixed in a certain style.
- Prearranged.
- determined or decided upon as by an authority
- situated in a particular spot or position
- set down according to a plan
- fixed and unmoving
- converted to solid form (as concrete)
- (usually followed by ‘to’ or ‘for’) on the point of or strongly disposed
- being below the horizon
verb
- (transitive, volleyball) To direct (the ball) to a teammate for an attack.
- (transitive) To render stiff or solid; especially, to convert into curd; to curdle.
- (intransitive, country dancing) 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.
- (transitive) To put in a specified condition or state; to cause to be.
- (transitive, bridge) To defeat a contract.
- To establish as a rule; to furnish; to prescribe; to assign.
- (transitive) To punch (a nail) into wood so that its head is below the surface.
- (transitive) To introduce or describe.
- (transitive) To put (something) down, to rest.
- To become fixed or rigid; to be fastened.
- (UK, education) To divide a class group in a subject according to ability
- (intransitive, of fruit) To be fixed for growth; to strike root; to begin to germinate or form.
- (ambitransitive) To fit music to words.
- To reduce from a dislocated or fractured state.
- (transitive) To compile, to make (a puzzle or challenge).
- (transitive) To arrange (type).
- (ambitransitive) To place plants or shoots in the ground; to plant.
- To put in order in a particular manner; to prepare.
- (transitive) To locate (a play, etc.); to assign a backdrop to, geographically or temporally.
- (transitive) To adjust.
- To extend and bring into position; to spread.
- (transitive) To prepare (a stage or film set).
- (transitive) To arrange with dishes and cutlery, to set the table.
- To cause (a domestic fowl) to sit on eggs to brood.
- (intransitive, now dialectal) To sit or lie (easily etc.) on the stomach; to be digested in a certain manner.
- (intransitive) To solidify.
- (transitive) To attach or affix (something) to something else, or in or upon a certain place.
- (transitive) To start (a fire).
- To give a pitch to, as a tune; to start by fixing the keynote.
- (intransitive, Southern US, Midwestern US, dialects) To rest or lie somewhere, on something, etc.; to occupy a certain place.
- To apply oneself; to undertake earnestly.
- (transitive) To fit (someone) up in a situation.
- (transitive) To determine or settle.
- (transitive) To devise and assign (work) to.
- To have a certain direction of motion; to flow; to move on; to tend.
- (intransitive, Southern US, Midwestern US, dialects) To sit (be in a seated position).
- To hunt game with the aid of a setter.
- (intransitive) Of a heavenly body, to disappear below the horizon of a planet, etc, as the latter rotates.
- To adorn with something infixed or affixed; to stud; to variegate with objects placed here and there.
- (masonry) To lower into place and fix solidly, as the blocks of cut stone in a structure.
- (transitive, botany) To produce after pollination.
- (hunting, ambitransitive) Of a dog, to indicate the position of game.
- To place or fix in a setting.
- (Scotland) To suit; to become.
- urge to attack someone
- put or set (seeds, seedlings, or plants) into the ground
- equip with sails or masts
- set in type
- arrange attractively
- alter or regulate so as to achieve accuracy or conform to a standard
- put into a certain state; cause to be in a certain state
- fix conclusively or authoritatively
- become gelatinous
- disappear beyond the horizon
- set to a certain position or cause to operate correctly
- give a fine, sharp edge to a knife or razor
- insert (a nail or screw below the surface, as into a countersink)
- put into a certain place or abstract location
- produce fruit
- make ready or suitable or equip in advance for a particular purpose or for some use, event, etc
- put into a position that will restore a normal state
- get ready for a particular purpose or event
- locate
- adapt for performance in a different way
- decide upon or fix definitely
- establish as the highest level or best performance
- fix in a border
- apply or start
- estimate
noun
- (set theory) Given two sets, the set containing one set's elements that are not members of the other set (whether a relative complement or an absolute complement).
- (grammar, linguistics) A word or group of words that completes a grammatical construction in the predicate and that describes or is identified with the subject or object.
- (economics) Abbreviation of complementary good.
- (electronics) A voltage level with the opposite logical sense to the given one.
- (biochemistry) Synonym of alexin.
- Something which completes, something which combines with something else to make up a complete whole; loosely, something perceived to be a harmonious or desirable partner or addition.
- (immunology) One of several blood proteins that work with antibodies during an immune response.
- (astronomy, geometry) An angle which, together with a given angle, makes a right angle.
- (music) An interval which, together with the given interval, makes an octave.
- (palaeography, phonetics) A phonetic complement is a graphic element that modifies another, such as (in Linear B script) a small syllabogram that is attached to a logogram as an abbreviation of its reading (as opposed to an adjunct that abbreviates an adjective that modifies that logogram).
- (genetics) A nucleotide sequence in which each base is replaced by the complementary base of the given sequence: adenine (A) by thymine (T) or uracil (U), cytosine (C) by guanine (G), and vice versa.
- The totality, the full amount or number which completes something.
- (computing, mathematics) The diminished radix complement of a number; the nines' complement of a decimal number; the ones' complement of a binary number.
- (nautical) The whole working force of a vessel.
- (computing, mathematics) The numeric complement of a number.
- (logic) An expression related to some other expression such that it is true under the same conditions that make other false, and vice versa.
- (optics) The color which, when mixed with the given color, gives black (for mixing pigments) or white (for mixing light).
- (computing) A bit with the opposite value to the given one; the logical complement of a number.
- (computing, mathematics) The radix complement of a number; the two's complement of a binary number.
- Obsolete spelling or misspelling of compliment.
- number needed to make up a whole force
- either of two parts that mutually complete each other
- a word or phrase used to complete a grammatical construction
- a complete number or quantity
- one of a series of enzymes in the blood serum that are part of the immune response
- something added to complete or embellish or make perfect
verb
- To complete, to bring to perfection, to make whole.
- To change a voltage, number, color, etc. to its complement.
- To provide what the partner lacks and lack what the partner provides, thus forming part of a whole.
- Obsolete spelling or misspelling of compliment.
- make complete or perfect; supply what is wanting or form the complement to
noun
- (set theory) The set of all possible tuples whose elements are elements of given, separately specified, sets.
- (topology) A topological space analogously formed from two or more (up to an infinite number of) topological spaces.
- (group theory) Such a set of tuples formed from two or more groups, forming another group whose group operation is the component-wise application of the original group operations and of which the original groups are normal subgroups.
- (category theory) A high-level generalization of the preceding that applies to objects in an arbitrary category and produces a new object constructable by morphisms from each of the original objects.
- (ring theory) Such a set of tuples formed from two or more rings, forming another ring whose operations arise from the component-wise application of the corresponding original ring operations.
- (mathematics) Any of a number of mathematical objects analogously derived from a given ordered set of objects.
- the set of ordered pairs of two given sets
noun
- (set theory) A finite sequence of terms.
- (databases) A single row in a relational database.
- (programming) A fixed-size container data type similar to a list that can hold different types of elements.
- (computing) A set of comma-separated values passed to a program or operating system as a parameter to a function call.
noun
- (set theory, of a set) The number of elements a given set contains.
- (religion) The status of being cardinalitial
- (type theory) The number of terms that can inhabit a type; the possible values of a type.
- (data modeling, databases) The property of a relationship between a database table and another one, specifying whether it is one-to-one, one-to-many, many-to-one, or many-to-many.
- (mathematics) the number of elements in a set or group (considered as a property of that grouping)
noun
- (set theory) A collection of non-empty, disjoint subsets of a set whose union is the set itself (i.e. all elements of the set are contained in exactly one of the subsets).
- A vertical structure that divides a room.
- (mathematics) An approach to division in which one asks what the size of each part is, rather than (as in quotition) how many parts there are.
- The division of a territory into two or more autonomous ones.
- (music) A musical score.
- (databases) A division of a database or one of its constituting elements such as tables into separate independent parts.
- A part divided off by walls; an apartment; a compartment.
- An action which divides a thing into parts, or separates one thing from another.
- (computing) A division of a data stream, such as a messaging queue or topic (often representing a unit of parallelism, and of fault tolerance).
- A part of something that has been divided.
- That which divides or separates; that by which different things, or distinct parts of the same thing, are separated; boundary; dividing line or space.
- (computing) A section of a hard disk separately formatted.
- (law) The severance of common or undivided interests, particularly in real estate. It may be effected by consent of parties, or by compulsion of law.
- (computer science) the part of a hard disk that is dedicated to a particular operating system or application and accessed as a single unit
- a vertical structure that divides or separates (as a wall divides one room from another)
- (anatomy) a structure that separates areas in an organism
- the act of dividing or partitioning; separation by the creation of a boundary that divides or keeps apart
verb
noun
- (set theory, topology, mathematical analysis) 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 items or amount of material procured, gathered or presented together.
- (Oxford University, usually in the plural) A set of college exams generally taken at the start of the term.
- A gathering of money for charitable or other purposes, as by passing a contribution box for donations.
- The activity of collecting.
- (music) A set of pitch classes used by a composer.
- The quality of being collected; calm composure.
- (law) Debt collection.
- (UK) The jurisdiction of a collector of excise.
- request for a sum of money
- a publication containing a variety of works
- the act of gathering something together
- several things grouped together or considered as a whole
noun
- (countable, set theory, mathematical analysis) A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).
- (figurative) A system or process (especially one that is complex or convoluted) that substitutes one thing for another, or uses signs or symbols to represent concepts or ideas.
- An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.
- (uncountable, mathematics, sometimes capitalized) Abstract algebra: A broad field of study in modern mathematics (often mentioned alongside analysis) loosely characterized by its concern for abstraction and symmetry, dealing with the behavior, classification, and application of a large class of objects (called algebraic structures) and the maps between them (called, most generally, morphisms).
- (uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
- (uncountable, mathematics) Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
- A universal algebra.
- the mathematics of generalized arithmetical operations
noun
- (set theory) One of the objects in a set.
- One of the simplest or essential parts or principles of which anything consists, or upon which the constitution or fundamental powers of anything are based.
- A factor, one of the conditions contributing to a result.
- (chemistry) A chemical substance made entirely of one such type of atom; any one of the simplest chemical substances that cannot be decomposed in a chemical reaction or by any chemical means and made up of atoms all having the same number of protons.
- (usually in the plural) A basic, simple substance out of which something is made, raw material.
- A place or state of being that a person or object is best suited to.
- (chemistry) Any one of the types of atom distinguished by having a certain number of protons in its nucleus.
- (in the plural only, with "the") Atmospheric forces such as strong winds and rains.
- A group of people within a larger group having a particular common characteristic.
- A small but present amount of a quality, a hint.
- (law) A required aspect or component of a cause of action. A deed is regarded as a violation of law only if each element can be proved.
- A component in electrical equipment, often in the form of a coil, having a high resistance, thereby generating heat when a current is passed through it.
- (astronomy) An orbital element; one of the parameters needed to uniquely specify a particular orbit.
- (computing) One of the conceptual objects in a markup language, usually represented in text by tags.
- One of the four basic building blocks of matter in theories of ancient philosophers and alchemists: water, earth, fire, and air.
- (mathematics) One of the entries of a matrix.
- (Christianity, usually in the plural) The bread and wine taken at Holy Communion.
- Any of the teeth of a zip fastener.
- A small part of the whole.
- (in the plural only) The basic principles of a field of knowledge, basics, fundamentals, rudiments.
- (mathematics) An infinitesimal interval of a quantity, a differential.
- an abstract part of something
- one of four substances thought in ancient and medieval cosmology to constitute the physical universe
- a straight line that generates a cylinder or cone
- any of the more than 100 known substances (of which 92 occur naturally) that cannot be separated into simpler substances and that singly or in combination constitute all matter
- the situation in which you are happiest and most effective
- the most favorable environment for a plant or animal
- an artifact that is one of the individual parts of which a composite entity is made up; especially a part that can be separated from or attached to a system
noun
- (set theory) A collection of sets definable by a shared property, especially one which is not itself a set (in which case the class is called proper).
- Best of its kind.
- (uncountable) Admirable behavior; elegance.
- (countable) A group, collection, category or set sharing characteristics or attributes.
- (military) A group of people subject to be conscripted in the same military draft, or more narrowly those persons actually conscripted in a particular draft.
- (uncountable) The division of society into classes.
- (sociology, countable) A social grouping, based on job, wealth, etc. In Britain, society is commonly split into three main classes: upper class, middle class and working class.
- (taxonomy, countable) A rank in the classification of organisms, below phylum and above order; a taxon of that rank.
- (India) a grade, standard, level of education.
- (countable) A group of students who commenced or completed their education during a particular year. A school class.
- A series of lessons covering a single subject.
- (statistics) A grouping of data values in an interval, often used for computation of a frequency distribution.
- (education, countable and uncountable) A group of students in a regularly scheduled meeting with a teacher.
- (countable) A category of seats in an airplane, train or other means of mass transportation.
- A single lesson in a series.
- (object-oriented programming, countable) A set of objects having the same behavior (but typically differing in state), or a template defining such a set in terms of its common properties, functions, etc.
- One of the sections into which a Methodist church or congregation is divided, supervised by a class leader.
- elegance in dress or behavior
- a body of students who graduate together
- (biology) a taxonomic group containing one or more orders
- education imparted in a series of lessons or meetings
- a league ranked by quality
- a collection of things sharing a common attribute
- people having the same social, economic, or educational status
- a body of students who are taught together
adj
verb
noun
verb
noun
- (set theory) A set of ordered pairs; a binary relation.
- (set theory) A set of ordered tuples.
- The manner in which two things may be associated.
- (mathematics) A statement of equality of two products of generators, used in the presentation of a group.
- (chiefly in the plural) A relationship; the manner in which and tone with which people or states, etc. interact.
- The act of relating a story.
- (category theory) A subobject of a product of objects.
- (databases) A set of tuples, implemented as a table in a relational database.
- (often collocated: sexual relation, often in the plural) The act of intercourse.
- A member of one's extended family; a relative.
- sexual activity between individuals, especially the insertion of a man's penis into a woman's vagina until orgasm and ejaculation occur
- (law) the principle that an act done at a later time is deemed by law to have occurred at an earlier time
- a person related by blood or marriage
- an act of narration
- an abstraction belonging to or characteristic of two entities or parts together
- (usually plural) mutual dealings or connections among persons or groups
noun
adj
noun
- (set theory) A collection of sets, considered small or negligible, such that every subset of each member and the union of any two members are also members of the collection.
- (algebra) A subsemigroup with the property that if any semigroup element outside of it is added to any one of its members, the result must lie outside of it.
- (algebra, order theory, lattice theory) A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).
- A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.
- (algebra, Lie theory) A Lie subalgebra (subspace that is closed under the Lie bracket) 𝖍 of a given Lie algebra 𝖌 such that the Lie bracket [𝖌,𝖍] is a subset of 𝖍.
- (algebra, ring theory) A two-sided ideal; a subset of a ring which is closed under both left and right multiplication by elements of the ring.
- model of excellence or perfection of a kind; one having no equal
- the idea of something that is perfect; something that one hopes to attain
adj
- Existing only in the mind; conceptual, imaginary.
- Optimal; being the best possibility.
- Teaching or relating to the doctrine of idealism.
- Pertaining to ideas, or to a given idea.
- Perfect, flawless, having no defects.
- (mathematics) Not actually present, but considered as present when limits at infinity are included.
- of or relating to the philosophical doctrine of the reality of ideas
- conforming to an ultimate standard of perfection or excellence; embodying an ideal
- constituting or existing only in the form of an idea or mental image or conception
adj
- (set theory, of a class) Not being a set.
- (algebraic geometry, of a morphism of schemes) Separated, of finite type, and universally closed.
- (usually postpositive) In the strict sense; within the strict definition or core (of a specified place, taxonomic order, idea, etc).
- (mathematics, physics) Eigen-; designating a function or value which is an eigenfunction or eigenvalue.
- (topology, of a function) Continuous, mapping closed sets to closed sets, and such that the preimage of every point is compact.
- (often postpositive) In the very strictest sense of the word.
- (mathematics) Being strictly part of some other thing (not necessarily explicitly mentioned, but of definitional importance), and not being the thing itself.
- Excellent, of high quality; such as the specific person or thing should ideally be. (Now often merged with later senses.)
- Belonging to oneself or itself; own.
- Following the established standards of behavior or manners; correct or decorous.
- Suited or acceptable to the purpose or circumstances; fit, suitable.
- (heraldry) Portrayed in natural or usual coloration, as opposed to conventional tinctures.
- (of a city or town) Including only the core areas while excluding surrounding suburbs
- (algebraic geometry, of a variety over a field k) Such that unique morphism from the variety to k is proper (as above).
- (mathematical analysis, of a metric space) Such that every closed ball is compact.
- (now regional) Attractive, elegant.
- (grammar) Used to designate a particular person, place, or thing. Proper nouns are usually written with an initial capital letter.
- Pertaining exclusively to a specific thing or person; particular.
- (now colloquial) Utter, complete.
- (topology, of a function) Such that the preimage of every compact set is compact.
- appropriate for a condition or purpose or occasion or a person's character, needs
- limited to the thing specified
- marked by suitability or rightness or appropriateness
- having all the qualities typical of the thing specified
adv
noun
noun
- (set theory, countable) A collection of sets, especially of subsets of a given set.
- (uncountable) Lineage, especially honorable or noble lineage.
- (music) A group of instruments having the same basic method of tone production.
- (uncountable, gay slang) The gay community.
- A (close-knit) group of people related by blood, friendship, marriage, law, or custom, especially if they live or work together.
- 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.
- (linguistics) A group of languages believed to have descended from the same ancestral language.
- 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 nuclear family: a mother and father who are married and cohabiting and their child or children.
- (biology, taxonomy) A category in the classification of organisms, ranking below order and above genus; a taxon at that rank.
- (uncountable) Members of one's family collectively.
- An extended family: a group of people who are related to one another by blood or marriage.
- a person having kinship with another or others
- a social unit living together
- people descended from a common ancestor
- a loose affiliation of gangsters in charge of organized criminal activities
- an association of people who share common beliefs or activities
- a collection of things sharing a common attribute
- primary social group; parents and children
- (biology) a taxonomic group containing one or more genera
adj
noun
noun
- (set theory) The set containing all the elements that are common to two or more sets.
- (geometry) The point or set of points common to two geometrical objects (such as the point where two lines meet or the line where two planes intersect).
- Any overlap, confluence, or crossover.
- (sports) The element where two or more straight lines of synchronized skaters pass through each other.https://web.archive.org/web/20120214131704/http://www.isu.org/vsite/vcontent/content/transnews/0,10869,4844-128590-19728-18885-295370-3787-4771-layout160-129898-news-item,00.html
- The junction of two (or more) paths, streets, highways, or other thoroughfares.
- (category theory) The pullback of a corner of monics.
- a point or set of points common to two or more geometric configurations
- the act of intersecting (as joining by causing your path to intersect your target's path)
- the set of elements common to two or more sets
- a point where lines intersect
- a representation of common ground between theories or phenomena
- a junction where one street or road crosses another
noun
- (mathematics) A bracketed list that shows the elements of a set.
- A schedule or timetable setting out shift times and dates for each employee of a business.
- A list of the jobs to be performed by members of an organization and often with the date and time that they are expected to perform them.
- A list of individuals or groups, usually for an organization of some kind such as military officers and enlisted personnel enrolled in a particular unit; a muster roll; a sports team, with the names of players who are eligible to be placed in the lineup for a particular game; or a list of students officially enrolled in a school or class.
- a list of names
verb
noun
- (set theory, of two sets X and Y) The set of all possible ordered pairs of elements, the being first from X, the second from Y, written X×Y. Formally, the set (x,y);|;x∈X;and;y∈Y.
- (mathematics) Any of several generalizations of the set-theoretic sense, especially one which shares the geometrical intuition outlined above, i.e. one such that the product can be thought of as an object in its own right and not just as a set of pairs.
- (geometry, of an m-dimensional space X and an n-dimensional space Y) An (m+n)-dimensional space, formally composed of all possible ordered pairs of points from X and Y, but thought of as an independent (m+n)-dimensional space (in the sense that if, e.g. X and Y are vector spaces, the elements of X×Y are thought of as (m+n)-tuples instead of ordered pairs) and written X×Y.
- (databases) All possible combinations of rows between all of the tables listed.
- the set of ordered pairs of two given sets
noun
- (set theory) An element of a set.
- Part of an animal capable of performing a distinct office; an organ; a limb.
- (Australia, law) the judge or adjudicator in a consumer court.
- (object-oriented programming) A function or piece of data associated with each separate instance of a class.
- (mathematics) Either of the two parts of an algebraic equation, connected by the equality sign.
- (euphemistic) The penis.
- One who belongs to a group.
- A part of a whole.
- A part of a discourse or of a period, sentence, or verse; a clause.
- (logic) One of the propositions making up a syllogism.
- (computing) A file stored within an archive file.
- the male sex organ
- one of the persons who compose a social group (especially individuals who have joined and participate in a group organization)
- an external body part that projects from the body
- anything that belongs to a set or class
- an organization that is a member of another organization (especially a state that belongs to a group of nations)
noun
- (countable, set theory) The set containing all of the elements of two or more sets.
- (countable) A trade union; a workers' union.
- (historical) An affiliation of several parishes for joint support and management of their poor; also the jointly-owned workhouse.
- (countable) The act or state of marriage.
- (countable) An association of students at a university for social and/or political purposes; also in some cases a debating body.
- (countable) A joint or other connection uniting parts of machinery, such as pipes.
- (countable) The act of uniting or joining two or more things into one.
- (countable, programming) A data structure that can store any of various types of item, but only one at a time.
- (countable) Something united, or made one; something formed by a combination or coalition of parts or members; a confederation; a consolidated body; a league.
- (uncountable) The state of being united or joined; a state of unity or harmony.
- the act of pairing a male and female for reproductive purposes
- healing process involving the growing together of the edges of a wound or the growing together of broken bones
- a device on a national flag emblematic of the union of two or more sovereignties (typically in the upper inner corner)
- an organization of employees formed to bargain with the employer
- the act of making or becoming a single unit
- the state of being a married couple voluntarily joined for life (or until divorce)
- a set containing all and only the members of two or more given sets
- a political unit formed from previously independent people or organizations
- the state of being joined or united or linked
- the occurrence of a uniting of separate parts
adj
verb
noun
- (in plural, “sets”, mathematics, informal) Set theory.
- The full number of eggs set under a hen.
- The pattern of a tartan, etc.
- The amount by which the teeth of a saw protrude to the side in order to create the kerf.
- A collection of various objects for a particular purpose.
- (horticulture) A small tuber or bulb used instead of seed, particularly onion sets and potato sets.
- A rudimentary fruit.
- (engineering) 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.)
- (music) A musical performance by a band, disc jockey, etc., consisting of several musical pieces.
- (volleyball) A complete series of points, forming part of a match.
- (exercise) A group of repetitions of a single exercise performed one after the other without rest.
- A young plant fit for setting out; a slip; shoot.
- A device for receiving broadcast radio waves (or, more recently, broadcast data); a radio or television.
- (tennis) A complete series of games, forming part of a match.
- A group of people, usually meeting socially or connected through some shared interest, activity, attribute, etc.
- A young oyster when first attached.
- The scenery for a film or play.
- (poker, slang) 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”).
- The setting of the sun or other luminary; (by extension) the close of the day.
- (music) A drum kit, a drum set.
- (piledriving) A piece placed temporarily upon the head of a pile when the latter cannot otherwise be reached by the weight, or hammer.
- An object made up of several parts.
- A tool for dressing forged iron.
- A punch for setting nails in wood.
- (volleyball) The act of directing the ball to a teammate for an attack.
- Collectively, the crop of young oysters in any locality.
- (UK, education) A class group in a subject where pupils are divided by ability.
- (literally and figuratively) General movement; direction; drift; tendency.
- Alternative form of sett (“piece of quarried stone”).
- A bias of mind; an attitude or pattern of behaviour.
- Alternative form of sett (“a hole made and lived in by a badger”).
- (dance) The initial or basic formation of dancers.
- (colloquial) The manner, state, or quality of setting or fitting; fit.
- (set theory) 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.
- 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 series or group of something. (Note the similar meaning in Etymology 4, Noun)
- The camber of a curved roofing tile.
- Alternative form of sett (“pattern of threads and yarns”).
- an unofficial association of people or groups
- a group of things of the same kind that belong together and are so used
- several exercises intended to be done in series
- (mathematics) an abstract collection of numbers or symbols
- (psychology) being temporarily ready to respond in a particular way
- a relatively permanent inclination to react in a particular way
- the process of becoming hard or solid by cooling or drying or crystallization
- the act of putting something in position
- the descent of a heavenly body below the horizon
- a unit of play in tennis or squash
- any electronic equipment that receives or transmits radio or tv signals
- representation consisting of the scenery and other properties used to identify the location of a dramatic production
adj
- Intent, determined (to do something).
- Rigid, solidified.
- Fixed in one’s opinion.
- Fixed in position.
- Ready, prepared.
- (of hair) Fixed in a certain style.
- Prearranged.
- determined or decided upon as by an authority
- situated in a particular spot or position
- set down according to a plan
- fixed and unmoving
- converted to solid form (as concrete)
- (usually followed by ‘to’ or ‘for’) on the point of or strongly disposed
- being below the horizon
verb
- (transitive, volleyball) To direct (the ball) to a teammate for an attack.
- (transitive) To render stiff or solid; especially, to convert into curd; to curdle.
- (intransitive, country dancing) 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.
- (transitive) To put in a specified condition or state; to cause to be.
- (transitive, bridge) To defeat a contract.
- To establish as a rule; to furnish; to prescribe; to assign.
- (transitive) To punch (a nail) into wood so that its head is below the surface.
- (transitive) To introduce or describe.
- (transitive) To put (something) down, to rest.
- To become fixed or rigid; to be fastened.
- (UK, education) To divide a class group in a subject according to ability
- (intransitive, of fruit) To be fixed for growth; to strike root; to begin to germinate or form.
- (ambitransitive) To fit music to words.
- To reduce from a dislocated or fractured state.
- (transitive) To compile, to make (a puzzle or challenge).
- (transitive) To arrange (type).
- (ambitransitive) To place plants or shoots in the ground; to plant.
- To put in order in a particular manner; to prepare.
- (transitive) To locate (a play, etc.); to assign a backdrop to, geographically or temporally.
- (transitive) To adjust.
- To extend and bring into position; to spread.
- (transitive) To prepare (a stage or film set).
- (transitive) To arrange with dishes and cutlery, to set the table.
- To cause (a domestic fowl) to sit on eggs to brood.
- (intransitive, now dialectal) To sit or lie (easily etc.) on the stomach; to be digested in a certain manner.
- (intransitive) To solidify.
- (transitive) To attach or affix (something) to something else, or in or upon a certain place.
- (transitive) To start (a fire).
- To give a pitch to, as a tune; to start by fixing the keynote.
- (intransitive, Southern US, Midwestern US, dialects) To rest or lie somewhere, on something, etc.; to occupy a certain place.
- To apply oneself; to undertake earnestly.
- (transitive) To fit (someone) up in a situation.
- (transitive) To determine or settle.
- (transitive) To devise and assign (work) to.
- To have a certain direction of motion; to flow; to move on; to tend.
- (intransitive, Southern US, Midwestern US, dialects) To sit (be in a seated position).
- To hunt game with the aid of a setter.
- (intransitive) Of a heavenly body, to disappear below the horizon of a planet, etc, as the latter rotates.
- To adorn with something infixed or affixed; to stud; to variegate with objects placed here and there.
- (masonry) To lower into place and fix solidly, as the blocks of cut stone in a structure.
- (transitive, botany) To produce after pollination.
- (hunting, ambitransitive) Of a dog, to indicate the position of game.
- To place or fix in a setting.
- (Scotland) To suit; to become.
- urge to attack someone
- put or set (seeds, seedlings, or plants) into the ground
- equip with sails or masts
- set in type
- arrange attractively
- alter or regulate so as to achieve accuracy or conform to a standard
- put into a certain state; cause to be in a certain state
- fix conclusively or authoritatively
- become gelatinous
- disappear beyond the horizon
- set to a certain position or cause to operate correctly
- give a fine, sharp edge to a knife or razor
- insert (a nail or screw below the surface, as into a countersink)
- put into a certain place or abstract location
- produce fruit
- make ready or suitable or equip in advance for a particular purpose or for some use, event, etc
- put into a position that will restore a normal state
- get ready for a particular purpose or event
- locate
- adapt for performance in a different way
- decide upon or fix definitely
- establish as the highest level or best performance
- fix in a border
- apply or start
- estimate
noun
- (set theory) Given two sets, the set containing one set's elements that are not members of the other set (whether a relative complement or an absolute complement).
- (grammar, linguistics) A word or group of words that completes a grammatical construction in the predicate and that describes or is identified with the subject or object.
- (economics) Abbreviation of complementary good.
- (electronics) A voltage level with the opposite logical sense to the given one.
- (biochemistry) Synonym of alexin.
- Something which completes, something which combines with something else to make up a complete whole; loosely, something perceived to be a harmonious or desirable partner or addition.
- (immunology) One of several blood proteins that work with antibodies during an immune response.
- (astronomy, geometry) An angle which, together with a given angle, makes a right angle.
- (music) An interval which, together with the given interval, makes an octave.
- (palaeography, phonetics) A phonetic complement is a graphic element that modifies another, such as (in Linear B script) a small syllabogram that is attached to a logogram as an abbreviation of its reading (as opposed to an adjunct that abbreviates an adjective that modifies that logogram).
- (genetics) A nucleotide sequence in which each base is replaced by the complementary base of the given sequence: adenine (A) by thymine (T) or uracil (U), cytosine (C) by guanine (G), and vice versa.
- The totality, the full amount or number which completes something.
- (computing, mathematics) The diminished radix complement of a number; the nines' complement of a decimal number; the ones' complement of a binary number.
- (nautical) The whole working force of a vessel.
- (computing, mathematics) The numeric complement of a number.
- (logic) An expression related to some other expression such that it is true under the same conditions that make other false, and vice versa.
- (optics) The color which, when mixed with the given color, gives black (for mixing pigments) or white (for mixing light).
- (computing) A bit with the opposite value to the given one; the logical complement of a number.
- (computing, mathematics) The radix complement of a number; the two's complement of a binary number.
- Obsolete spelling or misspelling of compliment.
- number needed to make up a whole force
- either of two parts that mutually complete each other
- a word or phrase used to complete a grammatical construction
- a complete number or quantity
- one of a series of enzymes in the blood serum that are part of the immune response
- something added to complete or embellish or make perfect
verb
- To complete, to bring to perfection, to make whole.
- To change a voltage, number, color, etc. to its complement.
- To provide what the partner lacks and lack what the partner provides, thus forming part of a whole.
- Obsolete spelling or misspelling of compliment.
- make complete or perfect; supply what is wanting or form the complement to
noun
- (set theory) The set of all possible tuples whose elements are elements of given, separately specified, sets.
- (topology) A topological space analogously formed from two or more (up to an infinite number of) topological spaces.
- (group theory) Such a set of tuples formed from two or more groups, forming another group whose group operation is the component-wise application of the original group operations and of which the original groups are normal subgroups.
- (category theory) A high-level generalization of the preceding that applies to objects in an arbitrary category and produces a new object constructable by morphisms from each of the original objects.
- (ring theory) Such a set of tuples formed from two or more rings, forming another ring whose operations arise from the component-wise application of the corresponding original ring operations.
- (mathematics) Any of a number of mathematical objects analogously derived from a given ordered set of objects.
- the set of ordered pairs of two given sets
noun
- (set theory) A finite sequence of terms.
- (databases) A single row in a relational database.
- (programming) A fixed-size container data type similar to a list that can hold different types of elements.
- (computing) A set of comma-separated values passed to a program or operating system as a parameter to a function call.
noun
- (set theory, of a set) The number of elements a given set contains.
- (religion) The status of being cardinalitial
- (type theory) The number of terms that can inhabit a type; the possible values of a type.
- (data modeling, databases) The property of a relationship between a database table and another one, specifying whether it is one-to-one, one-to-many, many-to-one, or many-to-many.
- (mathematics) the number of elements in a set or group (considered as a property of that grouping)
noun
- (set theory) A collection of non-empty, disjoint subsets of a set whose union is the set itself (i.e. all elements of the set are contained in exactly one of the subsets).
- A vertical structure that divides a room.
- (mathematics) An approach to division in which one asks what the size of each part is, rather than (as in quotition) how many parts there are.
- The division of a territory into two or more autonomous ones.
- (music) A musical score.
- (databases) A division of a database or one of its constituting elements such as tables into separate independent parts.
- A part divided off by walls; an apartment; a compartment.
- An action which divides a thing into parts, or separates one thing from another.
- (computing) A division of a data stream, such as a messaging queue or topic (often representing a unit of parallelism, and of fault tolerance).
- A part of something that has been divided.
- That which divides or separates; that by which different things, or distinct parts of the same thing, are separated; boundary; dividing line or space.
- (computing) A section of a hard disk separately formatted.
- (law) The severance of common or undivided interests, particularly in real estate. It may be effected by consent of parties, or by compulsion of law.
- (computer science) the part of a hard disk that is dedicated to a particular operating system or application and accessed as a single unit
- a vertical structure that divides or separates (as a wall divides one room from another)
- (anatomy) a structure that separates areas in an organism
- the act of dividing or partitioning; separation by the creation of a boundary that divides or keeps apart
verb
noun
- (set theory, topology, mathematical analysis) 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 items or amount of material procured, gathered or presented together.
- (Oxford University, usually in the plural) A set of college exams generally taken at the start of the term.
- A gathering of money for charitable or other purposes, as by passing a contribution box for donations.
- The activity of collecting.
- (music) A set of pitch classes used by a composer.
- The quality of being collected; calm composure.
- (law) Debt collection.
- (UK) The jurisdiction of a collector of excise.
- request for a sum of money
- a publication containing a variety of works
- the act of gathering something together
- several things grouped together or considered as a whole
noun
- (countable, set theory, mathematical analysis) A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).
- (figurative) A system or process (especially one that is complex or convoluted) that substitutes one thing for another, or uses signs or symbols to represent concepts or ideas.
- An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.
- (uncountable, mathematics, sometimes capitalized) Abstract algebra: A broad field of study in modern mathematics (often mentioned alongside analysis) loosely characterized by its concern for abstraction and symmetry, dealing with the behavior, classification, and application of a large class of objects (called algebraic structures) and the maps between them (called, most generally, morphisms).
- (uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
- (uncountable, mathematics) Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
- A universal algebra.
- the mathematics of generalized arithmetical operations
noun
- (set theory) One of the objects in a set.
- One of the simplest or essential parts or principles of which anything consists, or upon which the constitution or fundamental powers of anything are based.
- A factor, one of the conditions contributing to a result.
- (chemistry) A chemical substance made entirely of one such type of atom; any one of the simplest chemical substances that cannot be decomposed in a chemical reaction or by any chemical means and made up of atoms all having the same number of protons.
- (usually in the plural) A basic, simple substance out of which something is made, raw material.
- A place or state of being that a person or object is best suited to.
- (chemistry) Any one of the types of atom distinguished by having a certain number of protons in its nucleus.
- (in the plural only, with "the") Atmospheric forces such as strong winds and rains.
- A group of people within a larger group having a particular common characteristic.
- A small but present amount of a quality, a hint.
- (law) A required aspect or component of a cause of action. A deed is regarded as a violation of law only if each element can be proved.
- A component in electrical equipment, often in the form of a coil, having a high resistance, thereby generating heat when a current is passed through it.
- (astronomy) An orbital element; one of the parameters needed to uniquely specify a particular orbit.
- (computing) One of the conceptual objects in a markup language, usually represented in text by tags.
- One of the four basic building blocks of matter in theories of ancient philosophers and alchemists: water, earth, fire, and air.
- (mathematics) One of the entries of a matrix.
- (Christianity, usually in the plural) The bread and wine taken at Holy Communion.
- Any of the teeth of a zip fastener.
- A small part of the whole.
- (in the plural only) The basic principles of a field of knowledge, basics, fundamentals, rudiments.
- (mathematics) An infinitesimal interval of a quantity, a differential.
- an abstract part of something
- one of four substances thought in ancient and medieval cosmology to constitute the physical universe
- a straight line that generates a cylinder or cone
- any of the more than 100 known substances (of which 92 occur naturally) that cannot be separated into simpler substances and that singly or in combination constitute all matter
- the situation in which you are happiest and most effective
- the most favorable environment for a plant or animal
- an artifact that is one of the individual parts of which a composite entity is made up; especially a part that can be separated from or attached to a system
noun
- (set theory) A collection of sets definable by a shared property, especially one which is not itself a set (in which case the class is called proper).
- Best of its kind.
- (uncountable) Admirable behavior; elegance.
- (countable) A group, collection, category or set sharing characteristics or attributes.
- (military) A group of people subject to be conscripted in the same military draft, or more narrowly those persons actually conscripted in a particular draft.
- (uncountable) The division of society into classes.
- (sociology, countable) A social grouping, based on job, wealth, etc. In Britain, society is commonly split into three main classes: upper class, middle class and working class.
- (taxonomy, countable) A rank in the classification of organisms, below phylum and above order; a taxon of that rank.
- (India) a grade, standard, level of education.
- (countable) A group of students who commenced or completed their education during a particular year. A school class.
- A series of lessons covering a single subject.
- (statistics) A grouping of data values in an interval, often used for computation of a frequency distribution.
- (education, countable and uncountable) A group of students in a regularly scheduled meeting with a teacher.
- (countable) A category of seats in an airplane, train or other means of mass transportation.
- A single lesson in a series.
- (object-oriented programming, countable) A set of objects having the same behavior (but typically differing in state), or a template defining such a set in terms of its common properties, functions, etc.
- One of the sections into which a Methodist church or congregation is divided, supervised by a class leader.
- elegance in dress or behavior
- a body of students who graduate together
- (biology) a taxonomic group containing one or more orders
- education imparted in a series of lessons or meetings
- a league ranked by quality
- a collection of things sharing a common attribute
- people having the same social, economic, or educational status
- a body of students who are taught together
adj
verb
noun
verb
noun
- (set theory) A set of ordered pairs; a binary relation.
- (set theory) A set of ordered tuples.
- The manner in which two things may be associated.
- (mathematics) A statement of equality of two products of generators, used in the presentation of a group.
- (chiefly in the plural) A relationship; the manner in which and tone with which people or states, etc. interact.
- The act of relating a story.
- (category theory) A subobject of a product of objects.
- (databases) A set of tuples, implemented as a table in a relational database.
- (often collocated: sexual relation, often in the plural) The act of intercourse.
- A member of one's extended family; a relative.
- sexual activity between individuals, especially the insertion of a man's penis into a woman's vagina until orgasm and ejaculation occur
- (law) the principle that an act done at a later time is deemed by law to have occurred at an earlier time
- a person related by blood or marriage
- an act of narration
- an abstraction belonging to or characteristic of two entities or parts together
- (usually plural) mutual dealings or connections among persons or groups
noun
adj
noun
- (set theory) A collection of sets, considered small or negligible, such that every subset of each member and the union of any two members are also members of the collection.
- (algebra) A subsemigroup with the property that if any semigroup element outside of it is added to any one of its members, the result must lie outside of it.
- (algebra, order theory, lattice theory) A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).
- A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.
- (algebra, Lie theory) A Lie subalgebra (subspace that is closed under the Lie bracket) 𝖍 of a given Lie algebra 𝖌 such that the Lie bracket [𝖌,𝖍] is a subset of 𝖍.
- (algebra, ring theory) A two-sided ideal; a subset of a ring which is closed under both left and right multiplication by elements of the ring.
- model of excellence or perfection of a kind; one having no equal
- the idea of something that is perfect; something that one hopes to attain
adj
- Existing only in the mind; conceptual, imaginary.
- Optimal; being the best possibility.
- Teaching or relating to the doctrine of idealism.
- Pertaining to ideas, or to a given idea.
- Perfect, flawless, having no defects.
- (mathematics) Not actually present, but considered as present when limits at infinity are included.
- of or relating to the philosophical doctrine of the reality of ideas
- conforming to an ultimate standard of perfection or excellence; embodying an ideal
- constituting or existing only in the form of an idea or mental image or conception
adj
- (set theory) 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.
- (graph theory) 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.
adj
- (set theory, of a class) Not being a set.
- (algebraic geometry, of a morphism of schemes) Separated, of finite type, and universally closed.
- (usually postpositive) In the strict sense; within the strict definition or core (of a specified place, taxonomic order, idea, etc).
- (mathematics, physics) Eigen-; designating a function or value which is an eigenfunction or eigenvalue.
- (topology, of a function) Continuous, mapping closed sets to closed sets, and such that the preimage of every point is compact.
- (often postpositive) In the very strictest sense of the word.
- (mathematics) Being strictly part of some other thing (not necessarily explicitly mentioned, but of definitional importance), and not being the thing itself.
- Excellent, of high quality; such as the specific person or thing should ideally be. (Now often merged with later senses.)
- Belonging to oneself or itself; own.
- Following the established standards of behavior or manners; correct or decorous.
- Suited or acceptable to the purpose or circumstances; fit, suitable.
- (heraldry) Portrayed in natural or usual coloration, as opposed to conventional tinctures.
- (of a city or town) Including only the core areas while excluding surrounding suburbs
- (algebraic geometry, of a variety over a field k) Such that unique morphism from the variety to k is proper (as above).
- (mathematical analysis, of a metric space) Such that every closed ball is compact.
- (now regional) Attractive, elegant.
- (grammar) Used to designate a particular person, place, or thing. Proper nouns are usually written with an initial capital letter.
- Pertaining exclusively to a specific thing or person; particular.
- (now colloquial) Utter, complete.
- (topology, of a function) Such that the preimage of every compact set is compact.
- appropriate for a condition or purpose or occasion or a person's character, needs
- limited to the thing specified
- marked by suitability or rightness or appropriateness
- having all the qualities typical of the thing specified