Palavras em English para 'Alternative spelling of set-theoretic.'
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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
- (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
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) 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 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.
adj
- (set theory) A type of set of natural numbers, related to mathematical logic.
- Tending to create things, or having the ability to create; often, excellently, in a novel fashion, or any or all of these.
- (euphemistic, of art) bad, unartistic, busy.
- Designed or executed to deceive or mislead.
- (of a created thing) Original, expressive and imaginative.
- promoting construction or creation
- having the ability or power to create
noun
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
- (set theory) A technique used to prove the consistency of certain axioms in set theory. See forcing (mathematics).
- (climatology, countable) The net flux of energy in or out of a system; the net change in an energy balance.
- (horticulture) The art of raising plants at an earlier season than is normal, especially by using a hotbed
- (photography) An extension in the development time of an underexposed negative in order to bring out detail
adj
verb
noun
noun
- (set theory) A small model of (a fragment of) Zermelo-Fraenkel set theory with desirable properties (depending on the context).
- (historical) A small cushion for a woman's hair.
- A quiet or shy person.
- A match used in firing guns or blasting.
- (computing) An input device that is moved over a pad or other flat surface to produce a corresponding movement of a pointer on a graphical display.
- (nautical) A turn or lashing of spun yarn or small stuff, or a metallic clasp or fastening, uniting the point and shank of a hook to prevent its unhooking or straightening out.
- Part of a hind leg of beef, next to the round.
- (computing) A pointer.
- A rodent, typically having a small body, dark fur, and a long tail.
- Any small rodent of the genus Mus.
- (boxing) A facial hematoma or black eye.
- a hand-operated electronic device that controls the coordinates of a cursor on your computer screen as you move it around on a pad; on the bottom of the device is a ball that rolls on the surface of the pad
- person who is quiet or timid
- a swollen bruise caused by a blow to the eye
- any of numerous small rodents typically resembling diminutive rats having pointed snouts and small ears on elongated bodies with slender usually hairless tails
verb
- (intransitive) To hunt or catch mice (the rodents), usually of cats. [from 12th c.]
- (intransitive, computing) To navigate by means of a computer mouse.
- (intransitive) To move cautiously or furtively, in the manner of a mouse (the rodent) (frequently used in the phrasal verb to mouse around).
- (transitive, nautical) To close the mouth of a hook by a careful binding of marline or wire.
- manipulate the mouse of a computer
- to go stealthily or furtively
noun
- (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.
- (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.
- (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) 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
adj
- (set theory) Of a set: such that, considered as a subset of a (usually larger) topological space, it is in a precise sense small or negligible.
- Poor, deficient or inferior in amount, quality or extent
- (mineralogy) Dry and harsh to the touch (e.g., as chalk).
- Having little flesh; lean; thin.
- deficient in amount or quality or extent
verb
adj
- (set theory) Of a set: such that, considered as a subset of a (usually larger) topological space, it is in a precise sense small or negligible.
- Deficient or inferior in amount, quality or extent
- (mineralogy) Dry and harsh to the touch (e.g., as chalk).
- Having little flesh; lean; thin.
- deficient in amount or quality or extent
noun
verb
noun
- (especially set theory; also casually) (symbol: ⊇) With respect to another set, a set such that each of the elements of the other set is also an element of the set.
- (weightlifting) Two or more different physical exercises performed back to back (i.e., without a period of rest between them). The exercises may employ the same muscle group, or opposing muscle groups.
verb
noun
- (mathematics, set theory) An element of a set that is not itself a set; an urelement.
- (Canada, usually attributive) An age group division in hockey for nine- to eleven-year-olds.
- (philosophy) In logical atomism, a fundamental fact that cannot be further broken down.
- (historical) The smallest medieval unit of time, equal to fifteen ninety-fourths of a second.
- (programming, Microsoft Windows) An integer representing a particular string.
- (now generally regarded figuratively) The smallest, indivisible constituent part or unit of something.
- A mote of dust in a sunbeam.
- (mathematics) A non-zero member of a partially ordered set that has only zero below it (assuming that the poset has a least element, its "zero").
- (chemistry, physics) The smallest possible amount of matter which still retains its identity as a chemical element, now known to consist of a nucleus surrounded by electrons.
- A very small amount; a whit.
- (programming, Lisp) An individual number or symbol, as opposed to a list; a scalar value.
- (history of science) A hypothetical particle posited by Greek philosophers as an ultimate and indivisible component of matter.
- (physics and chemistry) the smallest component of an element having the chemical properties of the element
- (nontechnical usage) a tiny piece of anything
name
adj
character
noun
- (television) Initialism of subtitles.
- (American Library Association) Initialism of sextodecimo (book size, 15-17.5 cm in height).
- (music) Initialism of soprano.
- Initialism of season (group of episodes of a series).
- Initialism of south.
- (usually clothing) Initialism of small (the manufactured size or an item of that size).
- (thermodynamics) a thermodynamic quantity representing the amount of energy in a system that is no longer available for doing mechanical work
- the 19th letter of the Roman alphabet
- a unit of conductance equal to the reciprocal of an ohm
- an abundant tasteless odorless multivalent nonmetallic element; best known in yellow crystals; occurs in many sulphide and sulphate minerals and even in native form (especially in volcanic regions)
- the cardinal compass point that is at 180 degrees
num
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
- (loosely, metonymic) The set itself; a lexemic family.
- (loosely, metonymic) The wordform chosen to represent such a set or family.
- (computing) An individual instance of a continuous character sequence without spaces, used in lexical analysis.
- (strictly) The abstract minimum unit of language or meaning that underlies such a set.
- a minimal unit (as a word or stem) in the lexicon of a language; ‘go’ and ‘went’ and ‘gone’ and ‘going’ are all members of the English lexeme ‘go’
adj
- (set theory, order theory, of a relation) Holding between a set and itself; being an endorelation.
- (ring theory, of an element of a graded ring) Belonging to one of the summands of the grading (if the ring is graded over the natural numbers and the element is in the kth summand, it is said to be homogeneous of degree k; if the ring is graded over a commutative monoid I, and the element is an element of the ith summand, it is said to be of grade i)
- (of a linear differential equation) Having its degree-zero term equal to zero; admitting the trivial solution.
- (algebra, of a polynomial) Such that all its nonzero terms have the same degree.
- Having the same composition throughout; of uniform make-up.
- (probability theory, Fourier analysis, of a distribution S on Euclidean n-space (or on ℝⁿmathbf 0)) Informally: Determined by its restriction to the unit sphere. Formally: Such that, for all real t>0 and test functions ϕ( mathbf x), the equality S[t⁻ⁿϕ( mathbf x/t)]=t^(mS)[ϕ( mathbf x)] holds for some fixed real or complex m.
- Of the same kind; alike, similar.
- (of a linear map f between vector spaces graded by a commutative monoid I) Which respects the grading of its domain and codomain. Formally: Satisfying f(V_j)⊆W_i+j for fixed i (called the degree or grade of f), V_j the jth component of the grading of f 's domain, W_k the kth component of the grading of f 's codomain, and + representing the monoid operation in I.
- (geometry, of a space equipped with a group action) Informally: Everywhere the same, uniform, in the sense that any point can be moved to any other (via the group action) while respecting the structure of the space. Formally: Such that the group action is transitively and acts by automorphisms on the space (some authors also require that the action be faithful).
- (of a first-order differential equation) Capable of being written in the form f(x,y) mathop dy=g(x,y) mathop dx where f and g are homogeneous functions of the same degree as each other.
- (linear algebra, by specialization, of a system of linear equations) Such that all the constant terms are zero.
- (mathematics) In any of several technical senses uniform; scalable; having its behavior or form determined by, or the same as, its behavior on or form at a smaller component (of its domain of definition, of itself, etc.).
- (geometry) Of or relating to homogeneous coordinates.
- The function f(x,y)#61;x²#43;x²ʸ#43;y² is not homogeneous on all of #92;mathbb#123;R#125;² because f(2,2)#61;16#92;neq 2ᵏ#42;3#61;2ᵏf(1,1) for any k, but f is homogeneous on the subspace of #92;mathbb#123;R#125;² spanned by (1,0) because f(#92;alphax,#92;alphay)#61;#92;alphax²#61;#92;alpha²f(x,y) for all (x,y)#92;in#92;operatorname#123;Span#125;#92;#123;(1,0)#92;#125;.
- (mathematical analysis, generalizing the case of polynomial functions, of a function f) Such that if each of f 's inputs are multiplied by the same scalar, f 's output is multiplied by the same scalar to some fixed power (called the degree of homogeneity or degree of f). (Formally and more generally, of a partial function f between vector spaces whose domain is a linear cone) Satisfying the equality f(s mathbf x)=sᵏᶠ(
- (of a general differential equation) Homogeneous as a function of the dependent variable and its derivatives.
- (chemistry) In the same state of matter.
- all of the same or similar kind or nature
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
noun
- (set theory, of a set or algebraic structure) The number of elements contained within (the given object); formally, the cardinality (of the given object).
- (Christianity) An ecclesiastical rank or position, usually for the sake of ministry, (especially, when plural) holy orders.
- (countable) An association of knights.
- (sciences, engineering, logic) Scale: size or scope.
- (order theory) A partially ordered set.
- (algebra, of a monomial) The sum of the exponents of the variables involved in the expression.
- (architecture) 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.
- (countable) Conformity with law or decorum; freedom from disturbance; general tranquillity; public quiet.
- (chemistry) The overall power of the rate law of a chemical reaction, expressed as a polynomial function of concentrations of reactants and products.
- (countable) A request for some product or service; a commission to purchase, sell, or supply goods.
- (uncountable) The state of being well arranged.
- (graph theory, of a graph) The number of vertices in the graph (i.e. the set-theoretic order of the set of vertices of the graph).
- 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.
- Any group of people with common interests.
- (countable) A command.
- (electronics) A power of polynomial function in an electronic circuit’s block, such as a filter, an amplifier, etc.
- (order theory) The relation with which a partially ordered set is equipped.
- (finance) A written direction to furnish someone with money or property; compare money order, postal order.
- (countable) A position in an arrangement, disposition, or sequence.
- (group theory, of an element g of a group G) The smallest positive natural number n such that (denoting the group operation multiplicatively) gⁿ is the identity element of G, if such an n exists; if no such n exists the element is said to be of infinite order (or sometimes zero order).
- (countable) 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.
- (countable, biology, taxonomy) A category in the classification of organisms, ranking below class and above family; a taxon at that rank.
- (cricket) The sequence in which a side’s batsmen bat; the batting order.
- (algebra, of a polynomial in one variable) The order of the leading monomial; (equivalently) the largest power of the variable involved in the given expression.
- (countable) Arrangement, disposition, or sequence.
- (countable) A group of religious adherents, especially monks or nuns, set apart within their religion by adherence to a particular rule or set of principles.
- a request for something to be made, supplied, or served
- established customary state (especially of society)
- logical or comprehensible arrangement of separate elements
- a body of rules followed by an assembly
- a formal association of people with similar interests
- a commercial document used to request someone to supply something in return for payment and providing specifications and quantities
- the act of putting things in a sequential arrangement
- a degree in a continuum of size or quantity
- a condition of regular or proper arrangement
- (often plural) a command given by a superior (e.g., a military or law enforcement officer) that must be obeyed
- a group of person living under a religious rule
- (biology) taxonomic group containing one or more families
- a legally binding command or decision entered on the court record (as if issued by a court or judge)
- (architecture) one of original three styles of Greek architecture distinguished by the type of column and entablature used or a style developed from the original three by the Romans
verb
- (transitive) To set in some sort of order.
- (transitive) To issue a command to; to charge.
- (transitive) To arrange, set in proper order.
- To admit to holy orders; to ordain; to receive into the ranks of the ministry.
- (transitive) To request some product or service; to secure by placing an order.
- give instructions to or direct somebody to do something with authority
- issue commands or orders for
- arrange thoughts, ideas, temporal events
- bring into conformity with rules or principles or usage; impose regulations
- bring order to or into
- make a request for something
- appoint to a clerical posts
- place in a certain order
- assign a rank or rating to
noun
- (set theory, countable) A relation.
- (uncountable) Newspaper or news stories.
- (countable) An agreement of situations or objects with an expected outcome.
- (countable or uncountable) Postal or other written communications.
- (uncountable) Reciprocal exchange of civilities, especially conversation between persons by means of letters.
- (theology, Swedenborgianism) A similarity between physical and spiritual things (e.g. light to wisdom, or warmth to love)
- compatibility of observations
- communication by the exchange of letters
- (mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane
- the relation of corresponding in degree or size or amount
- similarity by virtue of corresponding
noun
- (set theory) A function that maps distinct x in the domain to distinct y in the codomain; formally, a f: X → Y such that f(a) = f(b) implies a = b for any a, b in the domain.
- (internal combustion engines) Fuel injection: the pressurized introduction of fuel into a cylinder.
- (computer security) The insertion of program code into an application, URL, hardware, etc.; especially when malicious or when the target is not designed for such insertion.
- (space science) The act of putting a spacecraft into a particular orbit, especially for changing a stable orbit into a transfer orbit, e.g. trans-lunar injection.
- The act of injecting, or something that is injected.
- (construction) The act of inserting materials like concrete grout or gravel by using high pressure pumps.
- (mathematics) A relation on sets (X,Y) that associates each element of Y with at most one element of X.
- (category theory) A morphism from either one of the two components of a coproduct to that coproduct.
- (figuratively) The supply of additional funding to a person or a business.
- (steam engines) The act of throwing cold water into a condenser to produce a vacuum.
- A specimen prepared by injection.
- (medicine) Congestion (of a body part, with blood or other fluid), such as hyperemia.
- (steam engines) The cold water thrown into a condenser to produce a vacuum.
- (medicine) Something injected subcutaneously, intravenously, or intramuscularly by use of a syringe and a needle.
- the forceful insertion of a substance under pressure
- any solution that is injected (as into the skin)
- the act of putting a liquid into the body by means of a syringe
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
adj
- (set theory, of a relation on a set) Having the property that if an element a is related to b and b is related to c, then a is necessarily related to c.
- (algebra, of a group action) Such that, for any two elements of the acted-upon set, some group element maps the first to the second.
- (grammar, of a verb) Taking a direct object or objects.
- Affected by transference of signification.
- Making a transit or passage.
- (probability) Of a set of dice: not having the intransitive property.
- (graph theory, of a graph) Such that, for any two vertices there exists an automorphism which maps one to the other.
- designating a verb that requires a direct object to complete the meaning
noun
noun
adj
verb
noun
- (mathematics, set theory) The set of input (argument) values for which a function is defined.
- (geology) An area of more or less uniform mineralization.
- A group of related items, topics, or subjects.
- (data processing) A form of technical metadata that represent the type of a data item, its characteristics, name, and usage.
- (physics) A small region of a magnetic material with a consistent magnetization direction.
- A geographic area owned or controlled by a single person or organization.
- (taxonomy) The highest rank in the classification of organisms, above kingdom; in the three-domain system, one of the taxa Bacteria, Archaea, or Eukaryota.
- (mathematics, topology, mathematical analysis) An open and connected set in some topology. For example, the interval (0,1) as a subset of the real numbers.
- (more generally, of a binary relation R between A and B) The set A; The subset of A consisting of elements a of A such that there exists an element b in B with (a,b) in R.
- A field or sphere of activity, influence or expertise.
- (computing) The collection of computers identified by a domain's domain names.
- (computing, Internet) Any DNS domain name, particularly one which has been delegated and has become representative of the delegated domain name and its subdomains.
- (biochemistry) A folded section of a protein molecule that has a discrete function; the equivalent section of a chromosome.
- (mathematics) A ring with no zero divisors; that is, in which no product of nonzero elements is zero.
- (computing) Such a region used as a data storage element in a bubble memory.
- (computing, Internet) A collection of DNS or DNS-like domain names consisting of a delegated domain name and all its subdomains.
- (computing) A collection of information having to do with a domain, the computers named in the domain, and the network on which the computers named in the domain reside.
- the content of a particular field of knowledge
- territory over which rule or control is exercised
- (mathematics) the set of values of the independent variable for which a function is defined
- a particular environment or walk of life
- people in general; especially a distinctive group of people with some shared interest
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) 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
- (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) 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 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, 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
- (set theory) A technique used to prove the consistency of certain axioms in set theory. See forcing (mathematics).
- (climatology, countable) The net flux of energy in or out of a system; the net change in an energy balance.
- (horticulture) The art of raising plants at an earlier season than is normal, especially by using a hotbed
- (photography) An extension in the development time of an underexposed negative in order to bring out detail
adj
verb
noun
noun
- (set theory) A small model of (a fragment of) Zermelo-Fraenkel set theory with desirable properties (depending on the context).
- (historical) A small cushion for a woman's hair.
- A quiet or shy person.
- A match used in firing guns or blasting.
- (computing) An input device that is moved over a pad or other flat surface to produce a corresponding movement of a pointer on a graphical display.
- (nautical) A turn or lashing of spun yarn or small stuff, or a metallic clasp or fastening, uniting the point and shank of a hook to prevent its unhooking or straightening out.
- Part of a hind leg of beef, next to the round.
- (computing) A pointer.
- A rodent, typically having a small body, dark fur, and a long tail.
- Any small rodent of the genus Mus.
- (boxing) A facial hematoma or black eye.
- a hand-operated electronic device that controls the coordinates of a cursor on your computer screen as you move it around on a pad; on the bottom of the device is a ball that rolls on the surface of the pad
- person who is quiet or timid
- a swollen bruise caused by a blow to the eye
- any of numerous small rodents typically resembling diminutive rats having pointed snouts and small ears on elongated bodies with slender usually hairless tails
verb
- (intransitive) To hunt or catch mice (the rodents), usually of cats. [from 12th c.]
- (intransitive, computing) To navigate by means of a computer mouse.
- (intransitive) To move cautiously or furtively, in the manner of a mouse (the rodent) (frequently used in the phrasal verb to mouse around).
- (transitive, nautical) To close the mouth of a hook by a careful binding of marline or wire.
- manipulate the mouse of a computer
- to go stealthily or furtively
noun
- (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.
- (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.
- (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) 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
- (especially set theory; also casually) (symbol: ⊇) With respect to another set, a set such that each of the elements of the other set is also an element of the set.
- (weightlifting) Two or more different physical exercises performed back to back (i.e., without a period of rest between them). The exercises may employ the same muscle group, or opposing muscle groups.
verb
noun
- (mathematics, set theory) An element of a set that is not itself a set; an urelement.
- (Canada, usually attributive) An age group division in hockey for nine- to eleven-year-olds.
- (philosophy) In logical atomism, a fundamental fact that cannot be further broken down.
- (historical) The smallest medieval unit of time, equal to fifteen ninety-fourths of a second.
- (programming, Microsoft Windows) An integer representing a particular string.
- (now generally regarded figuratively) The smallest, indivisible constituent part or unit of something.
- A mote of dust in a sunbeam.
- (mathematics) A non-zero member of a partially ordered set that has only zero below it (assuming that the poset has a least element, its "zero").
- (chemistry, physics) The smallest possible amount of matter which still retains its identity as a chemical element, now known to consist of a nucleus surrounded by electrons.
- A very small amount; a whit.
- (programming, Lisp) An individual number or symbol, as opposed to a list; a scalar value.
- (history of science) A hypothetical particle posited by Greek philosophers as an ultimate and indivisible component of matter.
- (physics and chemistry) the smallest component of an element having the chemical properties of the element
- (nontechnical usage) a tiny piece of anything
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
- (loosely, metonymic) The set itself; a lexemic family.
- (loosely, metonymic) The wordform chosen to represent such a set or family.
- (computing) An individual instance of a continuous character sequence without spaces, used in lexical analysis.
- (strictly) The abstract minimum unit of language or meaning that underlies such a set.
- a minimal unit (as a word or stem) in the lexicon of a language; ‘go’ and ‘went’ and ‘gone’ and ‘going’ are all members of the English lexeme ‘go’
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
noun
- (set theory, of a set or algebraic structure) The number of elements contained within (the given object); formally, the cardinality (of the given object).
- (Christianity) An ecclesiastical rank or position, usually for the sake of ministry, (especially, when plural) holy orders.
- (countable) An association of knights.
- (sciences, engineering, logic) Scale: size or scope.
- (order theory) A partially ordered set.
- (algebra, of a monomial) The sum of the exponents of the variables involved in the expression.
- (architecture) 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.
- (countable) Conformity with law or decorum; freedom from disturbance; general tranquillity; public quiet.
- (chemistry) The overall power of the rate law of a chemical reaction, expressed as a polynomial function of concentrations of reactants and products.
- (countable) A request for some product or service; a commission to purchase, sell, or supply goods.
- (uncountable) The state of being well arranged.
- (graph theory, of a graph) The number of vertices in the graph (i.e. the set-theoretic order of the set of vertices of the graph).
- 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.
- Any group of people with common interests.
- (countable) A command.
- (electronics) A power of polynomial function in an electronic circuit’s block, such as a filter, an amplifier, etc.
- (order theory) The relation with which a partially ordered set is equipped.
- (finance) A written direction to furnish someone with money or property; compare money order, postal order.
- (countable) A position in an arrangement, disposition, or sequence.
- (group theory, of an element g of a group G) The smallest positive natural number n such that (denoting the group operation multiplicatively) gⁿ is the identity element of G, if such an n exists; if no such n exists the element is said to be of infinite order (or sometimes zero order).
- (countable) 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.
- (countable, biology, taxonomy) A category in the classification of organisms, ranking below class and above family; a taxon at that rank.
- (cricket) The sequence in which a side’s batsmen bat; the batting order.
- (algebra, of a polynomial in one variable) The order of the leading monomial; (equivalently) the largest power of the variable involved in the given expression.
- (countable) Arrangement, disposition, or sequence.
- (countable) A group of religious adherents, especially monks or nuns, set apart within their religion by adherence to a particular rule or set of principles.
- a request for something to be made, supplied, or served
- established customary state (especially of society)
- logical or comprehensible arrangement of separate elements
- a body of rules followed by an assembly
- a formal association of people with similar interests
- a commercial document used to request someone to supply something in return for payment and providing specifications and quantities
- the act of putting things in a sequential arrangement
- a degree in a continuum of size or quantity
- a condition of regular or proper arrangement
- (often plural) a command given by a superior (e.g., a military or law enforcement officer) that must be obeyed
- a group of person living under a religious rule
- (biology) taxonomic group containing one or more families
- a legally binding command or decision entered on the court record (as if issued by a court or judge)
- (architecture) one of original three styles of Greek architecture distinguished by the type of column and entablature used or a style developed from the original three by the Romans
verb
- (transitive) To set in some sort of order.
- (transitive) To issue a command to; to charge.
- (transitive) To arrange, set in proper order.
- To admit to holy orders; to ordain; to receive into the ranks of the ministry.
- (transitive) To request some product or service; to secure by placing an order.
- give instructions to or direct somebody to do something with authority
- issue commands or orders for
- arrange thoughts, ideas, temporal events
- bring into conformity with rules or principles or usage; impose regulations
- bring order to or into
- make a request for something
- appoint to a clerical posts
- place in a certain order
- assign a rank or rating to
noun
- (set theory, countable) A relation.
- (uncountable) Newspaper or news stories.
- (countable) An agreement of situations or objects with an expected outcome.
- (countable or uncountable) Postal or other written communications.
- (uncountable) Reciprocal exchange of civilities, especially conversation between persons by means of letters.
- (theology, Swedenborgianism) A similarity between physical and spiritual things (e.g. light to wisdom, or warmth to love)
- compatibility of observations
- communication by the exchange of letters
- (mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane
- the relation of corresponding in degree or size or amount
- similarity by virtue of corresponding
noun
- (set theory) A function that maps distinct x in the domain to distinct y in the codomain; formally, a f: X → Y such that f(a) = f(b) implies a = b for any a, b in the domain.
- (internal combustion engines) Fuel injection: the pressurized introduction of fuel into a cylinder.
- (computer security) The insertion of program code into an application, URL, hardware, etc.; especially when malicious or when the target is not designed for such insertion.
- (space science) The act of putting a spacecraft into a particular orbit, especially for changing a stable orbit into a transfer orbit, e.g. trans-lunar injection.
- The act of injecting, or something that is injected.
- (construction) The act of inserting materials like concrete grout or gravel by using high pressure pumps.
- (mathematics) A relation on sets (X,Y) that associates each element of Y with at most one element of X.
- (category theory) A morphism from either one of the two components of a coproduct to that coproduct.
- (figuratively) The supply of additional funding to a person or a business.
- (steam engines) The act of throwing cold water into a condenser to produce a vacuum.
- A specimen prepared by injection.
- (medicine) Congestion (of a body part, with blood or other fluid), such as hyperemia.
- (steam engines) The cold water thrown into a condenser to produce a vacuum.
- (medicine) Something injected subcutaneously, intravenously, or intramuscularly by use of a syringe and a needle.
- the forceful insertion of a substance under pressure
- any solution that is injected (as into the skin)
- the act of putting a liquid into the body by means of a syringe
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
adj
verb
noun
- (mathematics, set theory) The set of input (argument) values for which a function is defined.
- (geology) An area of more or less uniform mineralization.
- A group of related items, topics, or subjects.
- (data processing) A form of technical metadata that represent the type of a data item, its characteristics, name, and usage.
- (physics) A small region of a magnetic material with a consistent magnetization direction.
- A geographic area owned or controlled by a single person or organization.
- (taxonomy) The highest rank in the classification of organisms, above kingdom; in the three-domain system, one of the taxa Bacteria, Archaea, or Eukaryota.
- (mathematics, topology, mathematical analysis) An open and connected set in some topology. For example, the interval (0,1) as a subset of the real numbers.
- (more generally, of a binary relation R between A and B) The set A; The subset of A consisting of elements a of A such that there exists an element b in B with (a,b) in R.
- A field or sphere of activity, influence or expertise.
- (computing) The collection of computers identified by a domain's domain names.
- (computing, Internet) Any DNS domain name, particularly one which has been delegated and has become representative of the delegated domain name and its subdomains.
- (biochemistry) A folded section of a protein molecule that has a discrete function; the equivalent section of a chromosome.
- (mathematics) A ring with no zero divisors; that is, in which no product of nonzero elements is zero.
- (computing) Such a region used as a data storage element in a bubble memory.
- (computing, Internet) A collection of DNS or DNS-like domain names consisting of a delegated domain name and all its subdomains.
- (computing) A collection of information having to do with a domain, the computers named in the domain, and the network on which the computers named in the domain reside.
- the content of a particular field of knowledge
- territory over which rule or control is exercised
- (mathematics) the set of values of the independent variable for which a function is defined
- a particular environment or walk of life
- people in general; especially a distinctive group of people with some shared interest
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
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
adj
- (set theory) A type of set of natural numbers, related to mathematical logic.
- Tending to create things, or having the ability to create; often, excellently, in a novel fashion, or any or all of these.
- (euphemistic, of art) bad, unartistic, busy.
- Designed or executed to deceive or mislead.
- (of a created thing) Original, expressive and imaginative.
- promoting construction or creation
- having the ability or power to create
noun
adj
- (set theory) Of a set: such that, considered as a subset of a (usually larger) topological space, it is in a precise sense small or negligible.
- Poor, deficient or inferior in amount, quality or extent
- (mineralogy) Dry and harsh to the touch (e.g., as chalk).
- Having little flesh; lean; thin.
- deficient in amount or quality or extent
verb
adj
- (set theory) Of a set: such that, considered as a subset of a (usually larger) topological space, it is in a precise sense small or negligible.
- Deficient or inferior in amount, quality or extent
- (mineralogy) Dry and harsh to the touch (e.g., as chalk).
- Having little flesh; lean; thin.
- deficient in amount or quality or extent
noun
verb
adj
- (set theory, order theory, of a relation) Holding between a set and itself; being an endorelation.
- (ring theory, of an element of a graded ring) Belonging to one of the summands of the grading (if the ring is graded over the natural numbers and the element is in the kth summand, it is said to be homogeneous of degree k; if the ring is graded over a commutative monoid I, and the element is an element of the ith summand, it is said to be of grade i)
- (of a linear differential equation) Having its degree-zero term equal to zero; admitting the trivial solution.
- (algebra, of a polynomial) Such that all its nonzero terms have the same degree.
- Having the same composition throughout; of uniform make-up.
- (probability theory, Fourier analysis, of a distribution S on Euclidean n-space (or on ℝⁿmathbf 0)) Informally: Determined by its restriction to the unit sphere. Formally: Such that, for all real t>0 and test functions ϕ( mathbf x), the equality S[t⁻ⁿϕ( mathbf x/t)]=t^(mS)[ϕ( mathbf x)] holds for some fixed real or complex m.
- Of the same kind; alike, similar.
- (of a linear map f between vector spaces graded by a commutative monoid I) Which respects the grading of its domain and codomain. Formally: Satisfying f(V_j)⊆W_i+j for fixed i (called the degree or grade of f), V_j the jth component of the grading of f 's domain, W_k the kth component of the grading of f 's codomain, and + representing the monoid operation in I.
- (geometry, of a space equipped with a group action) Informally: Everywhere the same, uniform, in the sense that any point can be moved to any other (via the group action) while respecting the structure of the space. Formally: Such that the group action is transitively and acts by automorphisms on the space (some authors also require that the action be faithful).
- (of a first-order differential equation) Capable of being written in the form f(x,y) mathop dy=g(x,y) mathop dx where f and g are homogeneous functions of the same degree as each other.
- (linear algebra, by specialization, of a system of linear equations) Such that all the constant terms are zero.
- (mathematics) In any of several technical senses uniform; scalable; having its behavior or form determined by, or the same as, its behavior on or form at a smaller component (of its domain of definition, of itself, etc.).
- (geometry) Of or relating to homogeneous coordinates.
- The function f(x,y)#61;x²#43;x²ʸ#43;y² is not homogeneous on all of #92;mathbb#123;R#125;² because f(2,2)#61;16#92;neq 2ᵏ#42;3#61;2ᵏf(1,1) for any k, but f is homogeneous on the subspace of #92;mathbb#123;R#125;² spanned by (1,0) because f(#92;alphax,#92;alphay)#61;#92;alphax²#61;#92;alpha²f(x,y) for all (x,y)#92;in#92;operatorname#123;Span#125;#92;#123;(1,0)#92;#125;.
- (mathematical analysis, generalizing the case of polynomial functions, of a function f) Such that if each of f 's inputs are multiplied by the same scalar, f 's output is multiplied by the same scalar to some fixed power (called the degree of homogeneity or degree of f). (Formally and more generally, of a partial function f between vector spaces whose domain is a linear cone) Satisfying the equality f(s mathbf x)=sᵏᶠ(
- (of a general differential equation) Homogeneous as a function of the dependent variable and its derivatives.
- (chemistry) In the same state of matter.
- all of the same or similar kind or nature
adj
- (set theory, of a relation on a set) Having the property that if an element a is related to b and b is related to c, then a is necessarily related to c.
- (algebra, of a group action) Such that, for any two elements of the acted-upon set, some group element maps the first to the second.
- (grammar, of a verb) Taking a direct object or objects.
- Affected by transference of signification.
- Making a transit or passage.
- (probability) Of a set of dice: not having the intransitive property.
- (graph theory, of a graph) Such that, for any two vertices there exists an automorphism which maps one to the other.
- designating a verb that requires a direct object to complete the meaning