Palavras em English para '(set theory) Cardinality.'
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noun
- (set theory) Cardinality.
- (biblical, in the plural) In Christian angelology, an intermediate level of angels, ranked above archangels, but exact position varies by classification scheme.
- (metonymic, chiefly in the plural) The people in charge of legal or political power, the government.
- Physical force or strength.
- (social) The ability to coerce, influence, or control.
- (physics) The rate at which work is done or energy is transferred, expressed in units of energy per unit of time.
- The ability to do or undergo something.
- Any of the elementary forms or parts of machines: three primary (the lever, inclined plane, and pulley) and three secondary (the wheel-and-axle, wedge, and screw).
- (colloquial, dated outside the phrase 'power of good') A large amount or number.
- The strength by which a lens or mirror magnifies an optical image.
- (quiz bowl) A bonus point awarded for answering correctly before a certain part of the tossup is read.
- The ability or authority to control, govern, command, coerce, etc., such as in a legal, political or business sphere.
- (trucking) A tractor.
- (physics, mechanics) A measure of the effectiveness that a force producing a physical effect has over time. If linear, the quotient of: (force multiplied by the displacement of or in an object) ÷ time. If rotational, the quotient of: (force multiplied by the angle of displacement) ÷ time.
- (statistics) The probability that a statistical test will reject the null hypothesis when the alternative hypothesis is true.
- (attributive) Designating one who does something forcefully or on a large or grand scale.
- The production or flow of energy providing means to do work; energy per time unit.
- (metonymic) A strong or influential nation, company, or other such body.
- (countable) The ability to affect or influence.
- A product of equal factors (and generalizations of this notion): xⁿ, read as "x to the power of n" or the like, is called a power and denotes the product x×x×⋯×x, where x appears n times in the product; x is called the base and n the exponent.
- (specifically) Electricity or a supply of electricity.
- a mathematical notation indicating the number of times a quantity is multiplied by itself
- energy made available by the flow of electric charge through a conductor
- (of a government or government official) holding an office means being in power
- a state powerful enough to influence events throughout the world
- one possessing or exercising power or influence or authority
- physical strength
- (physics) the rate of doing work; measured in watts (= joules/second)
- possession of controlling influence
- a very wealthy or powerful businessperson
- possession of the qualities (especially mental qualities) required to do something or get something done
adj
intj
verb
noun
- A cardinalate.
- A colour between red and blue; violet, though often closer to magenta.
- Any of the species of large butterflies, usually marked with purple or blue, of the genus Basilarchia (formerly Limenitis).
- (colour theory) Any non-spectral colour on the line of purples on a colour chromaticity diagram or a colour wheel between violet and red.
- The purple haze cultivar of cannabis in the kush family, either pure or mixed with others, or by extension any variety of smoked marijuana.
- Earcockle, a disease of wheat.
- (by extension) Imperial power.
- (UK, slang) Synonym of snakebite and black.
- Cloth, or a garment, dyed a purple colour; especially, a purple robe, worn as an emblem of rank or authority; specifically, the purple robe or mantle worn by Ancient Roman emperors as the emblem of imperial dignity.
- Any of various species of mollusks from which Tyrian purple dye was obtained, especially the common dog whelk.
- (slang, US) Ellipsis of purple drank.
- (medicine) Purpura.
- (in ancient Rome) position of imperial status
- (Roman Catholic Church) official dress of a cardinal; so named after the Tyrial purple color of the robes
- a color between red and blue
adj
- (motor racing) Of a sector, lap, etc., completed in the fastest time so far in a given session.
- (Belgium, Netherlands) Mixed between social democrats and liberals.
- Of a purple hue.
- Imperial; regal.
- (US politics) Not predominantly red or blue, but having a mixture of Democrat and Republican support.
- (literature) Of language, extravagantly ornate, like purple prose.
- Blood-red; bloody.
- excessively elaborate or showily expressed
- of a color intermediate between red and blue
- belonging to or befitting a supreme ruler
verb
- (intransitive) To turn purple in colour.
- (intransitive, US, Canada informal) To pursue the opposite gender in inappropriate circumstances, usually of adolescents. (From the metaphor of mixing blue [boys] and pink [girls].)
- (transitive) To dye purple.
- (transitive) To clothe in purple.
- become purple
- color purple
adj
- (set theory, of a cardinal number) Not equal to its own cofinality.
- Being the only one of the kind; unique.
- Being only one of a larger population; single, individual.
- (linear algebra, of matrix) Having no inverse.
- Distinguished by superiority: peerless, unmatched, eminent, exceptional, extraordinary.
- (linear algebra, of transformation) Having the property that the matrix of coefficients of the new variables has a determinant equal to zero.
- (chiefly law) Each; individual.
- (grammar) Referring to only one thing or person.
- Out of the ordinary; curious.
- unusual or striking
- the single one of its kind
- being a single and separate person or thing
- beyond or deviating from the usual or expected
- grammatical number category referring to a single item or unit
- composed of one member, set, or kind
noun
noun
- (religion) The status of being cardinalitial
- (set theory, of a set) The number of elements a given set contains.
- (type theory) The number of terms that can inhabit a type; the possible values of a type.
- (data modeling, databases) The property of a relationship between a database table and another one, specifying whether it is one-to-one, one-to-many, many-to-one, or many-to-many.
- (mathematics) the number of elements in a set or group (considered as a property of that grouping)
num
- (set theory) The cardinality of the smallest nonempty set.
- (number theory) The first positive number in the set of natural numbers.
- (mathematics) The ordinality of an element which has no predecessor, usually called first or number one.
- The number represented by the Arabic numeral 1; the numerical value equal to that cardinal number.
adj
- Sole, only.
- Of a period of time, being particular.
- In agreement.
- Whole, entire.
- Being a single, unspecified thing; a; any.
- The same.
- (informal) very; used informally as an intensifier
- being a single entity made by combining separate components
- eminent beyond or above comparison
- indefinite in time or position
- of the same kind or quality
- used of a single unit or thing; not two or more
- having the indivisible character of a unit
det
noun
- A person or thing (having some specified characteristic or attribute).
- (cricket) One run scored by hitting the ball and running between the wickets; a single.
- (colloquial) A particularly special or compatible person or thing.
- (US) A one-dollar bill.
- One o'clock, either a.m. or p.m.
- A joke or amusing anecdote.
- (Internet slang, leetspeak, sarcastic) Deliberate misspelling of !, used to amplify an exclamation, parodying unskilled typists who forget to press the shift key while typing exclamation points, thus typing "1".
- An act of sexual intercourse.
- The digit or figure 1.
- (followed by for) A person with a tendency to do something.
- (mathematics) The identity element with respect to multiplication in a ring.
- An alcoholic drink, especially a pint or can of beer.
- a single person or thing
- the smallest whole number or a numeral representing this number
particle
- A nominalizer used to form a noun phrase without a head noun.
- Used at the end of a sentence to highlight the likelihood of something occurring, as a characteristic of something else.
- Used at the end of a sentence to highlight the originator of something.
- Used at the end of a sentence to highlight the characteristics of someone or something.
pron
- (Singlish, less common) Used as a relative pronoun at the end of a relative clause.
- (impersonal pronoun, sometimes with "the") The first mentioned of two things or people, as opposed to the other.
- (indefinite personal pronoun) Any person (applying to people in general).
- (pronoun) Any person, entity or thing.
- (impersonal pronoun, indefinite) One thing (among a group of others); one member of a group.
verb
noun
- (set theory) Such a number generalised to correspond to any cardinal number (the size of some set); formally, the order type of some well-ordered set of some cardinality a, which represents an equivalence class of well-ordered sets (exactly those of cardinality a) under the equivalence relation "existence of an order-preserving bijection".
- (grammar) A word that expresses the relative position of an item in a sequence.
- (arithmetic) A natural number used to denote position in a sequence.
- the number designating place in an ordered sequence
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
adj
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
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) 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)
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) 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
noun
- (category theory) The pullback of a corner of monics.
- (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
- (set theory) The set containing all the elements that are common to two or more sets.
- The junction of two (or more) paths, streets, highways, or other thoroughfares.
- 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
verb
noun
- (typography, nonstandard, rare) The háček symbol.
- (figuratively) Any receptacle from which names or numbers are pulled out in a lottery.
- (programming, informal) The caret symbol ^.
- (video games) A hat switch.
- (typography, mathematics) The circumflex symbol.
- (figuratively, by extension) The lottery or draw itself.
- (Internet slang) User rights on a website, such as the right to edit pages others cannot.
- (clothing) A covering for the head, often in the approximate form of a cone, dome or cylinder closed at its top end, and sometimes having a brim and other decoration.
- (figuratively) A particular role or capacity that a person might fill.
- an informal term for a person's role
- headdress that protects the head from bad weather; has shaped crown and usually a brim
adj
noun
noun
- (set theory) Cardinality.
- (biblical, in the plural) In Christian angelology, an intermediate level of angels, ranked above archangels, but exact position varies by classification scheme.
- (metonymic, chiefly in the plural) The people in charge of legal or political power, the government.
- Physical force or strength.
- (social) The ability to coerce, influence, or control.
- (physics) The rate at which work is done or energy is transferred, expressed in units of energy per unit of time.
- The ability to do or undergo something.
- Any of the elementary forms or parts of machines: three primary (the lever, inclined plane, and pulley) and three secondary (the wheel-and-axle, wedge, and screw).
- (colloquial, dated outside the phrase 'power of good') A large amount or number.
- The strength by which a lens or mirror magnifies an optical image.
- (quiz bowl) A bonus point awarded for answering correctly before a certain part of the tossup is read.
- The ability or authority to control, govern, command, coerce, etc., such as in a legal, political or business sphere.
- (trucking) A tractor.
- (physics, mechanics) A measure of the effectiveness that a force producing a physical effect has over time. If linear, the quotient of: (force multiplied by the displacement of or in an object) ÷ time. If rotational, the quotient of: (force multiplied by the angle of displacement) ÷ time.
- (statistics) The probability that a statistical test will reject the null hypothesis when the alternative hypothesis is true.
- (attributive) Designating one who does something forcefully or on a large or grand scale.
- The production or flow of energy providing means to do work; energy per time unit.
- (metonymic) A strong or influential nation, company, or other such body.
- (countable) The ability to affect or influence.
- A product of equal factors (and generalizations of this notion): xⁿ, read as "x to the power of n" or the like, is called a power and denotes the product x×x×⋯×x, where x appears n times in the product; x is called the base and n the exponent.
- (specifically) Electricity or a supply of electricity.
- a mathematical notation indicating the number of times a quantity is multiplied by itself
- energy made available by the flow of electric charge through a conductor
- (of a government or government official) holding an office means being in power
- a state powerful enough to influence events throughout the world
- one possessing or exercising power or influence or authority
- physical strength
- (physics) the rate of doing work; measured in watts (= joules/second)
- possession of controlling influence
- a very wealthy or powerful businessperson
- possession of the qualities (especially mental qualities) required to do something or get something done
adj
intj
verb
noun
- A cardinalate.
- A colour between red and blue; violet, though often closer to magenta.
- Any of the species of large butterflies, usually marked with purple or blue, of the genus Basilarchia (formerly Limenitis).
- (colour theory) Any non-spectral colour on the line of purples on a colour chromaticity diagram or a colour wheel between violet and red.
- The purple haze cultivar of cannabis in the kush family, either pure or mixed with others, or by extension any variety of smoked marijuana.
- Earcockle, a disease of wheat.
- (by extension) Imperial power.
- (UK, slang) Synonym of snakebite and black.
- Cloth, or a garment, dyed a purple colour; especially, a purple robe, worn as an emblem of rank or authority; specifically, the purple robe or mantle worn by Ancient Roman emperors as the emblem of imperial dignity.
- Any of various species of mollusks from which Tyrian purple dye was obtained, especially the common dog whelk.
- (slang, US) Ellipsis of purple drank.
- (medicine) Purpura.
- (in ancient Rome) position of imperial status
- (Roman Catholic Church) official dress of a cardinal; so named after the Tyrial purple color of the robes
- a color between red and blue
adj
- (motor racing) Of a sector, lap, etc., completed in the fastest time so far in a given session.
- (Belgium, Netherlands) Mixed between social democrats and liberals.
- Of a purple hue.
- Imperial; regal.
- (US politics) Not predominantly red or blue, but having a mixture of Democrat and Republican support.
- (literature) Of language, extravagantly ornate, like purple prose.
- Blood-red; bloody.
- excessively elaborate or showily expressed
- of a color intermediate between red and blue
- belonging to or befitting a supreme ruler
verb
- (intransitive) To turn purple in colour.
- (intransitive, US, Canada informal) To pursue the opposite gender in inappropriate circumstances, usually of adolescents. (From the metaphor of mixing blue [boys] and pink [girls].)
- (transitive) To dye purple.
- (transitive) To clothe in purple.
- become purple
- color purple
noun
- (religion) The status of being cardinalitial
- (set theory, of a set) The number of elements a given set contains.
- (type theory) The number of terms that can inhabit a type; the possible values of a type.
- (data modeling, databases) The property of a relationship between a database table and another one, specifying whether it is one-to-one, one-to-many, many-to-one, or many-to-many.
- (mathematics) the number of elements in a set or group (considered as a property of that grouping)
noun
- (set theory) Such a number generalised to correspond to any cardinal number (the size of some set); formally, the order type of some well-ordered set of some cardinality a, which represents an equivalence class of well-ordered sets (exactly those of cardinality a) under the equivalence relation "existence of an order-preserving bijection".
- (grammar) A word that expresses the relative position of an item in a sequence.
- (arithmetic) A natural number used to denote position in a sequence.
- the number designating place in an ordered sequence
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) 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) 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
noun
- (category theory) The pullback of a corner of monics.
- (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
- (set theory) The set containing all the elements that are common to two or more sets.
- The junction of two (or more) paths, streets, highways, or other thoroughfares.
- 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
verb
noun
- (typography, nonstandard, rare) The háček symbol.
- (figuratively) Any receptacle from which names or numbers are pulled out in a lottery.
- (programming, informal) The caret symbol ^.
- (video games) A hat switch.
- (typography, mathematics) The circumflex symbol.
- (figuratively, by extension) The lottery or draw itself.
- (Internet slang) User rights on a website, such as the right to edit pages others cannot.
- (clothing) A covering for the head, often in the approximate form of a cone, dome or cylinder closed at its top end, and sometimes having a brim and other decoration.
- (figuratively) A particular role or capacity that a person might fill.
- an informal term for a person's role
- headdress that protects the head from bad weather; has shaped crown and usually a brim
adj
- (set theory, of a cardinal number) Not equal to its own cofinality.
- Being the only one of the kind; unique.
- Being only one of a larger population; single, individual.
- (linear algebra, of matrix) Having no inverse.
- Distinguished by superiority: peerless, unmatched, eminent, exceptional, extraordinary.
- (linear algebra, of transformation) Having the property that the matrix of coefficients of the new variables has a determinant equal to zero.
- (chiefly law) Each; individual.
- (grammar) Referring to only one thing or person.
- Out of the ordinary; curious.
- unusual or striking
- the single one of its kind
- being a single and separate person or thing
- beyond or deviating from the usual or expected
- grammatical number category referring to a single item or unit
- composed of one member, set, or kind
noun
adj
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
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) 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