'plural of ordered set'的English词汇
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noun
- the set of ordered pairs of two given sets
- (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.
noun
- the set of ordered pairs of two given sets
- (set theory) The set of all possible tuples whose elements are elements of given, separately specified, sets.
- (topology) A topological space analogously formed from two or more (up to an infinite number of) topological spaces.
- (group theory) Such a set of tuples formed from two or more groups, forming another group whose group operation is the component-wise application of the original group operations and of which the original groups are normal subgroups.
- (category theory) A high-level generalization of the preceding that applies to objects in an arbitrary category and produces a new object constructable by morphisms from each of the original objects.
- (ring theory) Such a set of tuples formed from two or more rings, forming another ring whose operations arise from the component-wise application of the corresponding original ring operations.
- (mathematics) Any of a number of mathematical objects analogously derived from a given ordered set of objects.
noun
- the set of ordered pairs of two given sets
- a consequence of someone's efforts or of a particular set of circumstances
- a quantity obtained by multiplication
- items for sale to the individual consumer
- a chemical substance formed as a result of a chemical reaction
- an artifact that has been created by someone or some process
- A consequence of someone's efforts or of a particular set of circumstances.
- Any tangible or intangible good or service that is a result of a process and that is intended for delivery to a customer or end user.
- (countable, uncountable) A commodity offered for sale.
- (arithmetic) A quantity obtained by multiplication of two or more numbers.
- The amount of an artifact that has been created by someone or some process.
- (chemistry) A chemical substance formed as a result of a chemical reaction.
- (US, slang) Illegal drugs, especially cocaine, when viewed as a commodity.
- (mathematics) Any operation or a result thereof which generalises multiplication of numbers, like the multiplicative operation in a ring, product of types or a categorical product.
- (cosmetics, uncountable) Ellipsis of beauty product: any preparation to be applied to the hair, skin, nails, etc. Often specifically a preparation used to hold one's hair in a desired arrangement.
- Anything that is produced; a result.
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
- (order theory) A partially ordered set.
- (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.
- (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).
- (set theory, of a set or algebraic structure) The number of elements contained within (the given object); formally, the cardinality (of the given object).
- 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
noun
prefix
name
prep
- Indicating an order or arrangement.
- Pertaining to; with regard to.
- Part of; a member of; out of; from among.
- Contained by; inside.
- Wearing (an item of clothing).
- Surrounded by; among; amidst.
- (grammar, phonetics) Characterized by.
- Used to indicate a language, script, tone, etc. of a text, speech, etc.
- Within (a certain elapsed time); by the end of.
- Indicates, connotatively, a place-like form of someone's (or something's) personality, as his, her or its psychic and physical characteristics.
- By (doing something); indicating action causing an effect or achieving a purpose.
- Denoting a state of the subject.
- Expressing abstract containment.
- At the end of (a period of time).
- Within the bounds or limits of.
- Into.
- (of something offered or given in an exchange) In the form of, in the denomination of.
- During (a period of time).
adj
- In fashion; popular.
- (of fire or fuel) (British, Ireland, Australia, New Zealand) Burning; ablaze.
- (not comparable) Located indoors, especially at home or at one's office or place of work.
- Of the tide, at or near its highest level.
- Having been collected or received.
- (not comparable) Located inside something.
- Inserted or fitted into something.
- (sports, of the ball or other playing implement) Falling or remaining within the bounds of the playing area.
- (informal) Having a favourable position, such as a position of influence or expected gain, in relation to another person.
- Incoming.
- Having familiarity or involvement with somebody.
- (cricket) Currently batting.
- Having used, consumed , or invested a certain amount.
- (nautical, of the sails of a vessel) Furled or stowed.
- (law) With privilege or possession; used to denote a holding, possession, or seisin
- currently fashionable
- holding office
- directed or bound inward
adv
- At or towards the interior of a defined space, such as a building or room.
- After the beginning of something.
- Towards the speaker or other reference point.
- So as to be enclosed or surrounded by something.
- (in combination, after a verb) Denotes a gathering of people assembled for the stated activity, sometimes, though not always, suggesting a protest.
- to or toward the inside of
noun
noun
- the set of ordered pairs of two given sets
- (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.
noun
- the set of ordered pairs of two given sets
- (set theory) The set of all possible tuples whose elements are elements of given, separately specified, sets.
- (topology) A topological space analogously formed from two or more (up to an infinite number of) topological spaces.
- (group theory) Such a set of tuples formed from two or more groups, forming another group whose group operation is the component-wise application of the original group operations and of which the original groups are normal subgroups.
- (category theory) A high-level generalization of the preceding that applies to objects in an arbitrary category and produces a new object constructable by morphisms from each of the original objects.
- (ring theory) Such a set of tuples formed from two or more rings, forming another ring whose operations arise from the component-wise application of the corresponding original ring operations.
- (mathematics) Any of a number of mathematical objects analogously derived from a given ordered set of objects.
noun
- the set of ordered pairs of two given sets
- a consequence of someone's efforts or of a particular set of circumstances
- a quantity obtained by multiplication
- items for sale to the individual consumer
- a chemical substance formed as a result of a chemical reaction
- an artifact that has been created by someone or some process
- A consequence of someone's efforts or of a particular set of circumstances.
- Any tangible or intangible good or service that is a result of a process and that is intended for delivery to a customer or end user.
- (countable, uncountable) A commodity offered for sale.
- (arithmetic) A quantity obtained by multiplication of two or more numbers.
- The amount of an artifact that has been created by someone or some process.
- (chemistry) A chemical substance formed as a result of a chemical reaction.
- (US, slang) Illegal drugs, especially cocaine, when viewed as a commodity.
- (mathematics) Any operation or a result thereof which generalises multiplication of numbers, like the multiplicative operation in a ring, product of types or a categorical product.
- (cosmetics, uncountable) Ellipsis of beauty product: any preparation to be applied to the hair, skin, nails, etc. Often specifically a preparation used to hold one's hair in a desired arrangement.
- Anything that is produced; a result.
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
- (order theory) A partially ordered set.
- (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.
- (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).
- (set theory, of a set or algebraic structure) The number of elements contained within (the given object); formally, the cardinality (of the given object).
- 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
noun
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