'Alternative spelling of set theoretically.'에 대한 English 단어
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noun
noun
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
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
- (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
noun
name
noun
noun
name
noun
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
name
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
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
noun
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
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
- (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
noun
noun
noun
noun
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
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
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