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noun
- (calculus) The operation of finding the integral of a function.
- (society) The process of fitting into a community, notably applied to minorities.
- The act or process of making whole or entire.
- (biology) In evolution, the process by which the manifold is compacted into the relatively simple and permanent; supposed to alternate with differentiation as an agent in species' development.
- (US) Ellipsis of racial integration.
- The process of combining with compatible elements in order to incorporate them.
- the action of incorporating a racial or religious group into a community
- the act of combining into an integral whole
- an operation used in the calculus whereby the integral of a function is determined
verb
noun
name
verb
- resolve (a polynomial) into factors
- (mathematics, transitive) To create a list of the factors of.
- (mathematics, transitive) To divide an expression into a list of items that, when multiplied together, will produce the original quantity.
- (US, transitive) To warn not to pay or give up goods.
- (US, transitive) To attach the effects of a debtor in the hands of a third party.
verb
- (mathematics) To estimate the value of a function between two tabulated points.
- (transitive, intransitive) To introduce (something) between other things; especially to insert (possibly spurious) words into a text.
- (computing) During the course of processing some data, and in response to a directive in that data, to fetch data from a different source and process it in-line along with the original data.
- insert words into texts, often falsifying it thereby
- estimate the value of something based on known values
noun
- (mathematics) A set of points constituting a graphical representation of a real function; (formally) a set of tuples (x_1,x_2,…,x_m,y)∈ R ᵐ⁺¹, where y=f(x_1,x_2,…,x_m) for a given function f: R ᵐ→ R . See also Graph of a function on Wikipedia.Wikipedia
- (topology) A topological space which represents some graph (ordered pair of sets) and which is constructed by representing the vertices as points and the edges as copies of the real interval [0,1] (where, for any given edge, 0 and 1 are identified with the points representing the two vertices) and equipping the result with a particular topology called the graph topology.
- (category theory, of a morphism f) A morphism Γ_f from the domain of f to the product of the domain and codomain of f, such that the first projection applied to Γ_f equals the identity of the domain, and the second projection applied to Γ_f is equal to f.
- (graph theory) A set of vertices (or nodes) connected together by edges; (formally) an ordered pair of sets (V,E), where the elements of V are called vertices or nodes and E is a set of pairs (called edges) of elements of V. See also Graph (discrete mathematics) on Wikipedia.Wikipedia
- (applied mathematics, statistics) A data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set, whose elements are indexed to those of the former set(s) and may or may not be numbers.
- (linguistics, typography) A graphical unit on the token-level, the abstracted fundamental shape of a character or letter as distinct from its ductus (realization in a particular typeface or handwriting on the instance-level) and as distinct by a grapheme on the type-level by not fundamentally distinguishing meaning.
- a visual display of information
- a written symbol that is used to represent speech
- a visual representation of the relations between certain quantities, represented as points, plotted with reference to a set of axes
verb
noun
- (mathematics) The set of values (points) which a function can obtain.
- The distance a vehicle (e.g., a car, bicycle, lorry, or aircraft) can travel without refueling.
- A line or series of mountains, buildings, etc.
- (US, historical) In the public land system, a row or line of townships lying between two succession meridian lines six miles apart.
- An area for practicing shooting at targets.
- The maximum distance or reach of capability (of a weapon, radio, detector, etc.).
- (programming) A sequential list of values specified by an iterator.
- (sports, baseball) The defensive area that a player can cover.
- An area for military training or equipment testing.
- (statistics) The length of the smallest interval which contains all the data in a sample; the difference between the largest and smallest observations in the sample.
- An aggregate of individuals in one rank or degree; an order; a class.
- (ecology) The geographical area or zone where a species is normally naturally found.
- The distance from a person or sensor to an object, target, emanation, or event.
- (music) The scale of all the tones a voice or an instrument can produce.
- A fireplace; a fire or other cooking apparatus; now specifically, a large cooking stove with many burners (hotplates).
- The extent or space taken in by anything excursive; compass or extent of excursion; reach; scope.
- Selection, array.
- An area of open, often unfenced, grazing land.
- A wandering or roving; a going to and fro; an excursion; a ramble; an expedition.
- The variety of roles that an actor can play in a satisfactory way.
- the limit of capability
- a variety of different things or activities
- (mathematics) the set of values of the dependent variable for which a function is defined
- the limits within which something can be effective
- a large tract of grassy open land on which livestock can graze
- a kitchen appliance used for cooking food
- a place for shooting (firing or driving) projectiles of various kinds
- a series of hills or mountains
- an area in which something acts or operates or has power or control:
verb
- (transitive) To set in a row, or in rows; to place in a regular line or lines, or in ranks; to dispose in the proper order.
- (transitive) To place among others in a line, row, or order, as in the ranks of an army; usually, reflexively and figuratively, to espouse a cause, to join a party, etc.
- (transitive) To rove over or through.
- (biology) To be native to, or live in, a certain district or region.
- (military, of artillery) To determine the range to a target.
- (intransitive) To be placed in order; to be ranked; to admit of arrangement or classification; to rank.
- (intransitive) To form a line or a row.
- (transitive) To bring (something) into a specified position or relationship (especially, of opposition) with something else.
- (intransitive) To travel over (an area, etc); to roam, wander.
- (baseball) Of a player, to travel a significant distance for a defensive play.
- (intransitive) Of a variable, to be able to take any of the values in a specified range.
- (transitive) To classify.
- To sail or pass in a direction parallel to or near.
- range or extend over; occupy a certain area
- feed as in a meadow or pasture
- lay out orderly or logically in a line or as if in a line
- let eat
- change or be different within limits
- move about aimlessly or without any destination, often in search of food or employment
- assign a rank or rating to
- have a range; be capable of projecting over a certain distance, as of a gun
noun
adj
- (topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.
- (number theory, of an integer) Unable to be factored into smaller integers; prime.
- (group theory, of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation.
- Not able to be brought to a simpler or reduced form.
- (algebra, of an element of a ring) Whose only divisors are units and associates.
- (mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x² + 1).
- (algebraic geometry, of an algebraic variety) Inexpressible as the union of two proper algebraic subvarieties.
- (number theory, of a fraction) Whose numerator and denominator share no common factor greater than 1.
- Not able to be reduced or lessened.
- incapable of being made smaller or simpler
adj
noun
- A foursome.
- (mathematics) A set of points with all the combinatorial properties of a quadric (a quadric being the set of points of PG(n, q) whose coordinates satisfy a quadratic equation).
- (grammar) A grammatical number referring to four (or more) things.
- (rhetoric) A set of four phrases, separated by pauses when speaking or commas when writing.
verb
- calculate the integral of; calculate by integration
- become one; become integrated
- open (a place) to members of all races and ethnic groups
- make into a whole or make part of a whole
- (transitive) To include as a constituent part or functionality.
- (transitive) To form into one whole; to make entire; to complete; to renew; to restore; to perfect.
- (mathematics, sciences, transitive) To give the sum or total of a varying quantity over an interval such as a period of time or an area.
- (transitive) To desegregate, as a school or neighborhood.
- (usually intransitive, sometimes reflexive) To join a group or an environment harmoniously; to make oneself fit in.
- (genetics, transitive) To combine compatible elements in order to incorporate them.
- (mathematics, sciences, transitive) To subject to the operation of integration; to find the integral of an equation.
noun
adj
adj
- (algebra) Of an algebraic expression in indeterminates, or more generally a function: capable of being expressed as the ratio of two polynomials.
- (algebraic geometry) Of a point on an algebraic variety over a field: whose coordinates belong to the field in question (in contrast to those points of the variety which are only defined over the algebraic closure of the base field).
- Logically sound; not self-contradictory or otherwise absurd.
- (of a person or personal characteristics) Healthy or balanced intellectually; exhibiting reasonableness.
- (arithmetic) Of a number, capable of being expressed as the ratio of two integers.
- (algebraic geometry) Of a variety: (informally) geometrically simple almost everywhere; (formally) birationally equivalent to projective space
- Capable of reasoning.
- (algebraic geometry) Of a function between varieties: acting as a morphism on an open subset of its domain.
- of or associated with or requiring the use of the mind
- having its source in or being guided by the intellect (as distinguished from experience or emotion)
- capable of being expressed as a quotient of integers
- consistent with or based on or using reason
noun
verb
- (algebra, transitive and intransitive, acts on a polynomial) To factor into linear factors.
- (transitive, intransitive, slang) To leave.
- (sports, especially baseball) For both teams involved in a doubleheader to win one game each and lose another.
- (intransitive, of a couple) To separate.
- (of an object which expresses the relationship between algebraic structures, particularly a short exact sequence) To contain an object which may be so expressed.
- (transitive) To share; to divide.
- To be broken; to be dashed to pieces.
- (ambitransitive) To (cause to) break up; to throw into discord.
- (intransitive, of something solid, particularly wood) To break along the grain fully or partly along a more or less straight line.
- (intransitive) To burst out laughing.
- (transitive, ergative, of something solid) To divide fully or partly along a more or less straight line.
- (intransitive, politics) To vote for candidates of opposite parties.
- (generally, of an algebraic structure) To be expressable as a direct sum of sub-modules, -algebras, etc.
- come open suddenly and violently, as if from internal pressure
- discontinue an association or relation; go different ways
- go one's own way; move apart
- separate or cut with a tool, such as a sharp instrument
- separate into parts or portions
adj
- (stock exchange, historical, of quotations) Given in sixteenths rather than eighths.
- (London stock exchange) Designating ordinary stock that has been divided into preferred ordinary and deferred ordinary.
- Divided.
- (algebra, of a short exact sequence) Having the middle object (group, module, etc.) equal to the direct sum of the others.
- (of coffee) Comprising half decaffeinated and half caffeinated espresso.
- (stock exchange, of an order, sale, etc.) Divided so as to be done or executed part at one time or price and part at another time or price.
- (especially of wood) cut or ripped longitudinally with the grain
- having been divided; having the unity destroyed
noun
- A crack or longitudinal fissure.
- A dessert or confection resembling a banana split.
- (bowling) A result of a first throw that leaves two or more pins standing with one or more pins between them knocked down.
- (baseball, slang) A split-finger fastball.
- A bottle of wine containing 37.5 centiliters, half the volume of a standard 75-centiliter bottle; a demi.
- (bodybuilding) A workout routine as seen by its distribution of muscle groups or the extent and manner they are targeted in a microcycle.
- A breach or separation, as in a political party; a division.
- A unit of measure used for champagne or other spirits: 18.75 centiliters or one quarter of a standard 75-centiliter bottle. Commercially comparable to ¹⁄₂₀ (US) gallon, which is ¹⁄₂ of a fifth.
- (gymnastics, cheerleading, dance, usually in the phrase "to do the splits") A maneuver of spreading or sliding the feet apart until the legs are flat on the floor 180 degrees apart, either sideways to the body or with one leg in front and one behind, thus lowering the body completely to the floor in an upright position.
- (systematics) The division of a single taxon into two or more taxa; as opposed to a lump.
- A piece that is split off, or made thin, by splitting; a splinter; a fragment.
- (construction) A tear resulting from tensile stresses.
- (music) A recording containing songs by multiple artists; a split single or split album.
- (gambling) A division of a stake happening when two cards of the kind on which the stake is laid are dealt in the same turn.
- A split shot or split stroke.
- (athletics, speedrunning) The elapsed time at specific intermediate points in a race or speedrun.
- (leather manufacture) One of the sections of a skin made by dividing it into two or more thicknesses.
- a promised or claimed share of loot or money
- a dessert of sliced fruit and ice cream covered with whipped cream and cherries and nuts
- (tenpin bowling) a divided formation of pins left standing after the first bowl
- a lengthwise crack in wood
- a bottle containing half the usual amount
- the act of rending or ripping or splitting something
- extending the legs at right angles to the trunk (one in front and the other in back)
- an increase in the number of outstanding shares of a corporation without changing the shareholders' equity
- an opening made forcibly as by pulling apart
- division of a group into opposing factions
adj
- of or relating to the multiplicative inverse of a quantity or function
- concerning each of two or more persons or things; especially given or done in return
- Done, given, felt, or owed in return.
- Mutually interchangeable.
- (grammar) Expressing mutual action, applied to pronouns and verbs; also in a broad sense: reflexive.
- Of a feeling, action or such: mutual, uniformly felt or done by each party towards the other or others; two-way.
- (mathematics) Used to denote different kinds of mutual relation; often with reference to the substitution of reciprocals for given quantities.
noun
- something (a term or expression or concept) that has an inverse relation to something else
- (mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the multiplicative inverse of 7 is 1/7
- hybridization involving a pair of crosses that reverse the sexes associated with each genotype
- (grammar) A construction expressing mutual action.
- (arithmetic) The number obtained by dividing 1 by another given number; the result of exchanging the numerator and the denominator of a fraction.
noun
- (linear algebra) The polynomial produced from a given square matrix by first subtracting the appropriate identity matrix multiplied by an indeterminant and then calculating the determinant.
- (mathematics) A polynomial P(r) corresponding to a homogeneous, linear, ordinary differential equation P(D) y = 0 where D is a differential operator (with respect to a variable t, if y is a function of t).
adj
- (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(
- (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).
- (set theory, order theory, of a relation) Holding between a set and itself; being an endorelation.
- (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;.
- (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
- (mathematics) A statistical technique, similar to independent component analysis, for separating correlated data.
- The process of reducing or eliminating confusion; clarification.
- (psychology) A stage of transactional analysis that consists in shedding light on repressed needs and feelings from an earlier child ego state.
noun
- any distinct quantity contained in a polynomial
- a limited period of time
- one of the substantive phrases in a logical proposition
- the end of gestation or point at which birth is imminent
- a word or expression used for some particular thing
- (usually plural) a statement of what is required as part of an agreement
- (architecture) a statue or a human bust or an animal carved out of the top of a square pillar; originally used as a boundary marker in ancient Rome
- A chronological limitation or restriction, a limited timespan.
- (astrology) An essential dignity in which unequal segments of every astrological sign have internal rulerships which affect the power and integrity of each planet in a natal chart.
- Part of a year, especially one of the divisions of an academic year.
- (mathematics) Any value (variable or constant) or expression separated from another term by a space or an appropriate character, in an overall expression or table.
- Specifically, the conditions in a legal contract that specify the price and also how and when payment must be made.
- A word or phrase (e.g., noun phrase, verb phrase, open compound), especially one from a specialised area of knowledge; a name for a concept.
- (of a patent) The maximum period during which the patent can be maintained into force.
- (logic) The subject or the predicate of a proposition; one of the three component parts of a syllogism, each one of which is used twice.
- Certain days on which rent is paid.
- Any of the binding conditions or promises in a legal contract.
- (computing, informal) A computer program that emulates a physical terminal.
- (nautical) A piece of carved work placed under each end of the taffrail.
- One whose employment has been terminated
- That which limits the extent of anything; limit, extremity, bound, boundary, terminus.
- (art) A statue of the upper body, sometimes without the arms, ending in a pillar or pedestal.
- The time during which legal courts are open.
- With respect to a pregnancy, the usual duration of gestation for the given species (for example, nine months in humans); (metonymic) the end of this duration: the timepoint at which birth usually happens (for example, in humans, approximately 40 weeks from conception), defining the due date.
- Duration of officeholding, or its limit; period in office of fixed length.
- Relations among people.
verb
adj
noun
- (calculus) The operation of finding the integral of a function.
- (society) The process of fitting into a community, notably applied to minorities.
- The act or process of making whole or entire.
- (biology) In evolution, the process by which the manifold is compacted into the relatively simple and permanent; supposed to alternate with differentiation as an agent in species' development.
- (US) Ellipsis of racial integration.
- The process of combining with compatible elements in order to incorporate them.
- the action of incorporating a racial or religious group into a community
- the act of combining into an integral whole
- an operation used in the calculus whereby the integral of a function is determined
noun
- (mathematics) A set of points constituting a graphical representation of a real function; (formally) a set of tuples (x_1,x_2,…,x_m,y)∈ R ᵐ⁺¹, where y=f(x_1,x_2,…,x_m) for a given function f: R ᵐ→ R . See also Graph of a function on Wikipedia.Wikipedia
- (topology) A topological space which represents some graph (ordered pair of sets) and which is constructed by representing the vertices as points and the edges as copies of the real interval [0,1] (where, for any given edge, 0 and 1 are identified with the points representing the two vertices) and equipping the result with a particular topology called the graph topology.
- (category theory, of a morphism f) A morphism Γ_f from the domain of f to the product of the domain and codomain of f, such that the first projection applied to Γ_f equals the identity of the domain, and the second projection applied to Γ_f is equal to f.
- (graph theory) A set of vertices (or nodes) connected together by edges; (formally) an ordered pair of sets (V,E), where the elements of V are called vertices or nodes and E is a set of pairs (called edges) of elements of V. See also Graph (discrete mathematics) on Wikipedia.Wikipedia
- (applied mathematics, statistics) A data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set, whose elements are indexed to those of the former set(s) and may or may not be numbers.
- (linguistics, typography) A graphical unit on the token-level, the abstracted fundamental shape of a character or letter as distinct from its ductus (realization in a particular typeface or handwriting on the instance-level) and as distinct by a grapheme on the type-level by not fundamentally distinguishing meaning.
- a visual display of information
- a written symbol that is used to represent speech
- a visual representation of the relations between certain quantities, represented as points, plotted with reference to a set of axes
verb
noun
- (mathematics) The set of values (points) which a function can obtain.
- The distance a vehicle (e.g., a car, bicycle, lorry, or aircraft) can travel without refueling.
- A line or series of mountains, buildings, etc.
- (US, historical) In the public land system, a row or line of townships lying between two succession meridian lines six miles apart.
- An area for practicing shooting at targets.
- The maximum distance or reach of capability (of a weapon, radio, detector, etc.).
- (programming) A sequential list of values specified by an iterator.
- (sports, baseball) The defensive area that a player can cover.
- An area for military training or equipment testing.
- (statistics) The length of the smallest interval which contains all the data in a sample; the difference between the largest and smallest observations in the sample.
- An aggregate of individuals in one rank or degree; an order; a class.
- (ecology) The geographical area or zone where a species is normally naturally found.
- The distance from a person or sensor to an object, target, emanation, or event.
- (music) The scale of all the tones a voice or an instrument can produce.
- A fireplace; a fire or other cooking apparatus; now specifically, a large cooking stove with many burners (hotplates).
- The extent or space taken in by anything excursive; compass or extent of excursion; reach; scope.
- Selection, array.
- An area of open, often unfenced, grazing land.
- A wandering or roving; a going to and fro; an excursion; a ramble; an expedition.
- The variety of roles that an actor can play in a satisfactory way.
- the limit of capability
- a variety of different things or activities
- (mathematics) the set of values of the dependent variable for which a function is defined
- the limits within which something can be effective
- a large tract of grassy open land on which livestock can graze
- a kitchen appliance used for cooking food
- a place for shooting (firing or driving) projectiles of various kinds
- a series of hills or mountains
- an area in which something acts or operates or has power or control:
verb
- (transitive) To set in a row, or in rows; to place in a regular line or lines, or in ranks; to dispose in the proper order.
- (transitive) To place among others in a line, row, or order, as in the ranks of an army; usually, reflexively and figuratively, to espouse a cause, to join a party, etc.
- (transitive) To rove over or through.
- (biology) To be native to, or live in, a certain district or region.
- (military, of artillery) To determine the range to a target.
- (intransitive) To be placed in order; to be ranked; to admit of arrangement or classification; to rank.
- (intransitive) To form a line or a row.
- (transitive) To bring (something) into a specified position or relationship (especially, of opposition) with something else.
- (intransitive) To travel over (an area, etc); to roam, wander.
- (baseball) Of a player, to travel a significant distance for a defensive play.
- (intransitive) Of a variable, to be able to take any of the values in a specified range.
- (transitive) To classify.
- To sail or pass in a direction parallel to or near.
- range or extend over; occupy a certain area
- feed as in a meadow or pasture
- lay out orderly or logically in a line or as if in a line
- let eat
- change or be different within limits
- move about aimlessly or without any destination, often in search of food or employment
- assign a rank or rating to
- have a range; be capable of projecting over a certain distance, as of a gun
noun
adj
- (topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.
- (number theory, of an integer) Unable to be factored into smaller integers; prime.
- (group theory, of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation.
- Not able to be brought to a simpler or reduced form.
- (algebra, of an element of a ring) Whose only divisors are units and associates.
- (mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x² + 1).
- (algebraic geometry, of an algebraic variety) Inexpressible as the union of two proper algebraic subvarieties.
- (number theory, of a fraction) Whose numerator and denominator share no common factor greater than 1.
- Not able to be reduced or lessened.
- incapable of being made smaller or simpler
noun
adj
verb
noun
name
noun
- (linear algebra) The polynomial produced from a given square matrix by first subtracting the appropriate identity matrix multiplied by an indeterminant and then calculating the determinant.
- (mathematics) A polynomial P(r) corresponding to a homogeneous, linear, ordinary differential equation P(D) y = 0 where D is a differential operator (with respect to a variable t, if y is a function of t).
noun
- (mathematics) A statistical technique, similar to independent component analysis, for separating correlated data.
- The process of reducing or eliminating confusion; clarification.
- (psychology) A stage of transactional analysis that consists in shedding light on repressed needs and feelings from an earlier child ego state.
noun
- any distinct quantity contained in a polynomial
- a limited period of time
- one of the substantive phrases in a logical proposition
- the end of gestation or point at which birth is imminent
- a word or expression used for some particular thing
- (usually plural) a statement of what is required as part of an agreement
- (architecture) a statue or a human bust or an animal carved out of the top of a square pillar; originally used as a boundary marker in ancient Rome
- A chronological limitation or restriction, a limited timespan.
- (astrology) An essential dignity in which unequal segments of every astrological sign have internal rulerships which affect the power and integrity of each planet in a natal chart.
- Part of a year, especially one of the divisions of an academic year.
- (mathematics) Any value (variable or constant) or expression separated from another term by a space or an appropriate character, in an overall expression or table.
- Specifically, the conditions in a legal contract that specify the price and also how and when payment must be made.
- A word or phrase (e.g., noun phrase, verb phrase, open compound), especially one from a specialised area of knowledge; a name for a concept.
- (of a patent) The maximum period during which the patent can be maintained into force.
- (logic) The subject or the predicate of a proposition; one of the three component parts of a syllogism, each one of which is used twice.
- Certain days on which rent is paid.
- Any of the binding conditions or promises in a legal contract.
- (computing, informal) A computer program that emulates a physical terminal.
- (nautical) A piece of carved work placed under each end of the taffrail.
- One whose employment has been terminated
- That which limits the extent of anything; limit, extremity, bound, boundary, terminus.
- (art) A statue of the upper body, sometimes without the arms, ending in a pillar or pedestal.
- The time during which legal courts are open.
- With respect to a pregnancy, the usual duration of gestation for the given species (for example, nine months in humans); (metonymic) the end of this duration: the timepoint at which birth usually happens (for example, in humans, approximately 40 weeks from conception), defining the due date.
- Duration of officeholding, or its limit; period in office of fixed length.
- Relations among people.
verb
adj
verb
noun
name
verb
- resolve (a polynomial) into factors
- (mathematics, transitive) To create a list of the factors of.
- (mathematics, transitive) To divide an expression into a list of items that, when multiplied together, will produce the original quantity.
- (US, transitive) To warn not to pay or give up goods.
- (US, transitive) To attach the effects of a debtor in the hands of a third party.
verb
- (mathematics) To estimate the value of a function between two tabulated points.
- (transitive, intransitive) To introduce (something) between other things; especially to insert (possibly spurious) words into a text.
- (computing) During the course of processing some data, and in response to a directive in that data, to fetch data from a different source and process it in-line along with the original data.
- insert words into texts, often falsifying it thereby
- estimate the value of something based on known values
verb
- calculate the integral of; calculate by integration
- become one; become integrated
- open (a place) to members of all races and ethnic groups
- make into a whole or make part of a whole
- (transitive) To include as a constituent part or functionality.
- (transitive) To form into one whole; to make entire; to complete; to renew; to restore; to perfect.
- (mathematics, sciences, transitive) To give the sum or total of a varying quantity over an interval such as a period of time or an area.
- (transitive) To desegregate, as a school or neighborhood.
- (usually intransitive, sometimes reflexive) To join a group or an environment harmoniously; to make oneself fit in.
- (genetics, transitive) To combine compatible elements in order to incorporate them.
- (mathematics, sciences, transitive) To subject to the operation of integration; to find the integral of an equation.
verb
- (algebra, transitive and intransitive, acts on a polynomial) To factor into linear factors.
- (transitive, intransitive, slang) To leave.
- (sports, especially baseball) For both teams involved in a doubleheader to win one game each and lose another.
- (intransitive, of a couple) To separate.
- (of an object which expresses the relationship between algebraic structures, particularly a short exact sequence) To contain an object which may be so expressed.
- (transitive) To share; to divide.
- To be broken; to be dashed to pieces.
- (ambitransitive) To (cause to) break up; to throw into discord.
- (intransitive, of something solid, particularly wood) To break along the grain fully or partly along a more or less straight line.
- (intransitive) To burst out laughing.
- (transitive, ergative, of something solid) To divide fully or partly along a more or less straight line.
- (intransitive, politics) To vote for candidates of opposite parties.
- (generally, of an algebraic structure) To be expressable as a direct sum of sub-modules, -algebras, etc.
- come open suddenly and violently, as if from internal pressure
- discontinue an association or relation; go different ways
- go one's own way; move apart
- separate or cut with a tool, such as a sharp instrument
- separate into parts or portions
adj
- (stock exchange, historical, of quotations) Given in sixteenths rather than eighths.
- (London stock exchange) Designating ordinary stock that has been divided into preferred ordinary and deferred ordinary.
- Divided.
- (algebra, of a short exact sequence) Having the middle object (group, module, etc.) equal to the direct sum of the others.
- (of coffee) Comprising half decaffeinated and half caffeinated espresso.
- (stock exchange, of an order, sale, etc.) Divided so as to be done or executed part at one time or price and part at another time or price.
- (especially of wood) cut or ripped longitudinally with the grain
- having been divided; having the unity destroyed
noun
- A crack or longitudinal fissure.
- A dessert or confection resembling a banana split.
- (bowling) A result of a first throw that leaves two or more pins standing with one or more pins between them knocked down.
- (baseball, slang) A split-finger fastball.
- A bottle of wine containing 37.5 centiliters, half the volume of a standard 75-centiliter bottle; a demi.
- (bodybuilding) A workout routine as seen by its distribution of muscle groups or the extent and manner they are targeted in a microcycle.
- A breach or separation, as in a political party; a division.
- A unit of measure used for champagne or other spirits: 18.75 centiliters or one quarter of a standard 75-centiliter bottle. Commercially comparable to ¹⁄₂₀ (US) gallon, which is ¹⁄₂ of a fifth.
- (gymnastics, cheerleading, dance, usually in the phrase "to do the splits") A maneuver of spreading or sliding the feet apart until the legs are flat on the floor 180 degrees apart, either sideways to the body or with one leg in front and one behind, thus lowering the body completely to the floor in an upright position.
- (systematics) The division of a single taxon into two or more taxa; as opposed to a lump.
- A piece that is split off, or made thin, by splitting; a splinter; a fragment.
- (construction) A tear resulting from tensile stresses.
- (music) A recording containing songs by multiple artists; a split single or split album.
- (gambling) A division of a stake happening when two cards of the kind on which the stake is laid are dealt in the same turn.
- A split shot or split stroke.
- (athletics, speedrunning) The elapsed time at specific intermediate points in a race or speedrun.
- (leather manufacture) One of the sections of a skin made by dividing it into two or more thicknesses.
- a promised or claimed share of loot or money
- a dessert of sliced fruit and ice cream covered with whipped cream and cherries and nuts
- (tenpin bowling) a divided formation of pins left standing after the first bowl
- a lengthwise crack in wood
- a bottle containing half the usual amount
- the act of rending or ripping or splitting something
- extending the legs at right angles to the trunk (one in front and the other in back)
- an increase in the number of outstanding shares of a corporation without changing the shareholders' equity
- an opening made forcibly as by pulling apart
- division of a group into opposing factions
adj
noun
- A foursome.
- (mathematics) A set of points with all the combinatorial properties of a quadric (a quadric being the set of points of PG(n, q) whose coordinates satisfy a quadratic equation).
- (grammar) A grammatical number referring to four (or more) things.
- (rhetoric) A set of four phrases, separated by pauses when speaking or commas when writing.
adj
- (algebra) Of an algebraic expression in indeterminates, or more generally a function: capable of being expressed as the ratio of two polynomials.
- (algebraic geometry) Of a point on an algebraic variety over a field: whose coordinates belong to the field in question (in contrast to those points of the variety which are only defined over the algebraic closure of the base field).
- Logically sound; not self-contradictory or otherwise absurd.
- (of a person or personal characteristics) Healthy or balanced intellectually; exhibiting reasonableness.
- (arithmetic) Of a number, capable of being expressed as the ratio of two integers.
- (algebraic geometry) Of a variety: (informally) geometrically simple almost everywhere; (formally) birationally equivalent to projective space
- Capable of reasoning.
- (algebraic geometry) Of a function between varieties: acting as a morphism on an open subset of its domain.
- of or associated with or requiring the use of the mind
- having its source in or being guided by the intellect (as distinguished from experience or emotion)
- capable of being expressed as a quotient of integers
- consistent with or based on or using reason
noun
adj
- of or relating to the multiplicative inverse of a quantity or function
- concerning each of two or more persons or things; especially given or done in return
- Done, given, felt, or owed in return.
- Mutually interchangeable.
- (grammar) Expressing mutual action, applied to pronouns and verbs; also in a broad sense: reflexive.
- Of a feeling, action or such: mutual, uniformly felt or done by each party towards the other or others; two-way.
- (mathematics) Used to denote different kinds of mutual relation; often with reference to the substitution of reciprocals for given quantities.
noun
- something (a term or expression or concept) that has an inverse relation to something else
- (mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the multiplicative inverse of 7 is 1/7
- hybridization involving a pair of crosses that reverse the sexes associated with each genotype
- (grammar) A construction expressing mutual action.
- (arithmetic) The number obtained by dividing 1 by another given number; the result of exchanging the numerator and the denominator of a fraction.
adj
- (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(
- (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).
- (set theory, order theory, of a relation) Holding between a set and itself; being an endorelation.
- (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;.
- (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