Parole in English per '(mathematics) A certain approximation theorem in complex analysis.'
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noun
verb
verb
noun
- (logic) A syntactically correct expression that is deducible from the given axioms of a deductive system.
- (mathematics) A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas.
- (mathematics, colloquial, nonstandard) A mathematical statement that is expected to be true.
- a proposition deducible from basic postulates
- an idea accepted as a demonstrable truth
noun
- a close approximation
- a way of entering or leaving
- a relatively short golf shot intended to put the ball onto the putting green
- the event of one object coming closer to another
- the final path followed by an aircraft as it is landing
- the temporal property of becoming nearer in time
- ideas or actions intended to deal with a problem or situation
- the act of drawing spatially closer to something
- a tentative suggestion designed to elicit the reactions of others
- (also figuratively) An act of drawing near in place or time; an advancing or coming near.
- (climbing) A path taken to reach the climbing area, for example, from a car park, road, etc.
- (also figuratively) An avenue, passage, or way by which a building or place can be approached; an access.
- (aviation, also attributively) The way an aircraft comes in to land at an airport.
- (figuratively) A manner of making (a policy) or solving (a problem, etc.).
- (golf, tennis) Ellipsis of approach shot.
- A specific procedure used for approaching and landing at an airport.
- An act of coming near in character or value; an approximation.
- (bowling) The area before the lane in which a bowler may stand or run up before bowling the ball.
verb
- (transitive, mathematical analysis) Used when defining limits, preceded by as: To become arbitrarily close to some value, be it a number, vector or infinity and have an effect on another value.
- move towards
- begin to deal with
- come near or verge on, resemble, come nearer in quality, or character
- come near in time
- make advances to someone, usually with a proposal or suggestion
- (transitive) To bring (something) near something else; to cause (something) to draw near.
- (intransitive, golf, tennis) To play an approach shot.
- (intransitive) To come or go near, in place or time; to move toward; to advance nearer; to draw nigh.
- (ambitransitive, figuratively) Used intransitively, followed by to: to draw near (to someone or something); to make advances; to approximate or become almost equal.
- (transitive, also figuratively) To move toward (someone or something) in place, time, character, or value; to draw nearer to.
- (transitive) To bring up or propose to (someone) an idea, question, request, etc.
- (transitive, military) To take approaches to (a place); to move towards (a place) by using covered roads, trenches, or other works.
- (transitive, rarely intransitive) Of an immovable object or a number of such objects: to be positioned as to (notionally) appear to be moving towards (a place).
- (transitive) To attempt to make (a policy) or solve (a problem).
noun
- (countable, mathematics) An equivalence relation; ≡; ~
- (translation studies) The degree to which a term or text in one language is semantically similar to its translated counterpart.
- (uncountable, logic) The relationship between two propositions that are either both true or both false.
- (mathematics) A Boolean operation that is TRUE when both input variables are TRUE or both input variables are FALSE, but otherwise FALSE; the XNOR function.
- (geometry) A number in intersection theory. A positive-dimensional variety sometimes behaves formally as if it were a finite number of points; this number is its equivalence.
- (chemistry) The quantity of the combining power of an atom, expressed in hydrogen units; the number of hydrogen atoms can combine with, or be exchanged for; valency.
- (uncountable) The condition of being equivalent or essentially equal.
- qualities that are comparable
- a state of being essentially equal or equivalent; equally balanced
- essential equality and interchangeability
verb
noun
- (approximation theory, numerical analysis, of a function) The quantity measured by the modulus of smoothness.
- (mathematical analysis, of a function) The highest order of derivative (the differentiability class) over a given domain.
- The condition of being smooth; the degree or measure of said condition.
- the quality of having a level and even surface
- the quality of being free from errors or interruptions
- powerful and effective language
- the quality of being bland and gracious or ingratiating in manner
- a texture without roughness; smooth to the touch
adj
- (mathematics) Of, or relating to algebra or a similar method of analysis.
- Of, or relating to division into elements or principles.
- (mathematical analysis) Being defined in terms of objects of differential calculus such as derivatives.
- (mathematics, of a function) Being able to be locally represented by convergent power series around every point of the domain.
- (logic, of a proposition) that follows necessarily by definition; tautologous.
- Of, or relating to any form of analysis, or to analytics.
- (linguistics) Of a language, having a grammar principally dependent on the arrangement of uninflected function words within sentences to indicate meaning.
- Having the ability to analyse.
- using or skilled in using analysis (i.e., separating a whole — intellectual or substantial — into its elemental parts or basic principles)
- using or subjected to a methodology using algebra and calculus
- expressing a grammatical category by using two or more words rather than inflection
- of a proposition that is necessarily true independent of fact or experience
noun
- (mathematics) A calculation of an estimate of the value of some function outside the range of known values.
- (music) The diametric opposite of interpolation.
- An inference about some hypothetical situation based on known facts.
- (mathematics) calculation of the value of a function outside the range of known values
- an inference about the future (or about some hypothetical situation) based on known facts and observations
adj
- (mathematics, representation theory, topological algebra, of a representation) That is the result of a required adjustment of an induced representation that would, unadjusted, give rise to (only) a quasi-invariant measure.
- (mathematics, mathematical analysis, of a mapping from a multi-dimensional space or manifold to an equivalent space) Having certain properties in common with holomorphic functions of a single complex variable.
- (mathematics, ring theory, of an element r of a ring) Such that 1 − r is a unit (has a multiplicative inverse).
- Having some regular characteristics.
- (geometry, of a polyhedron or tessellation) That is semiregular with regular faces of precisely two types that alternate around each vertex.
noun
- (countable, physics) An approximation that allows aspects of a mathematical theory to be discussed in ordinary language.
- (countable) A sense given by an interpreter; an exposition or explanation given; meaning.
- (uncountable, linguistics, translation studies) The discipline or study of translating one spoken or signed language into another (as opposed to translation, which concerns itself with written language).
- (countable) An act or process of applying general principles or formulae to the explanation of the results obtained in special cases.
- (countable) An act of interpreting or explaining something unclear; a translation; a version.
- (uncountable) The power of explaining.
- (countable, logic, model theory) An assignment of a truth value to each propositional symbol of a propositional calculus.
- Short for heritage interpretation
- (countable) An artist's way of expressing thought or embodying a conception of nature through art.
- a mental representation of the meaning or significance of something
- the act of interpreting something as expressed in an artistic performance
- an explanation of something that is not immediately obvious
- an explanation that results from interpreting something
noun
- (mathematics) A method of proof of a theorem by first proving it for a specific case (often an integer; usually 0 or 1) and showing that, if it is true for one case then it must be true for the next.
- An act of inducting.
- (embryology) Given a group of cells that emits or displays a substance, the influence of this substance on the fate of a second group of cells.
- (logic) Derivation of general principles from specific instances.
- (mechanical engineering) The delivery of air to the cylinders of an internal combustion piston engine.
- The process of showing a newcomer around a place where they will work or study.
- (theater) Use of rumors to twist and complicate the plot of a play or to narrate in a way that does not have to state truth nor fact within the play.
- A formal ceremony in which a person is appointed to an office or into military service.
- An act of inducing.
- (physics) Generation of an electric current by a varying magnetic field.
- (medicine) The process of inducing labour for the childbirth process.
- stimulation that calls up (draws forth) a particular class of behaviors
- an electrical phenomenon whereby an electromotive force (EMF) is generated in a closed circuit by a change in the flow of current
- an act that sets in motion some course of events
- a formal entry into an organization or position or office
- reasoning from detailed facts to general principles
- the act of bringing about something (especially at an early time)
noun
- (mathematics) The absolute value of a complex number.
- (physics) A coefficient that expresses how much of a certain property is possessed by a certain substance.
- (computing, programming) An operator placed between two numbers, to get the remainder of the division of those numbers.
- (physics) A scalar field controlling the shape and size of extra dimensions in a compactification.
- (mathematics) The base with respect to which a congruence is computed.
- an integer that can be divided without remainder into the difference between two other integers
- the absolute value of a complex number
- (physics) a coefficient that expresses how much of a specified property is possessed by a specified substance
noun
- (countable, topology, mathematical analysis) An idealised point which is said to be approached by sequences of values whose magnitudes increase without bound.
- (countable, mathematics) A number that has an infinite numerical value that cannot be counted.
- (countable, uncountable) The symbol ∞.
- (uncountable) endlessness, unlimitedness, absence of a beginning, end or limits to size.
- (uncountable) A number which is very large compared to some characteristic number. For example, in optics, an object which is much further away than the focal length of a lens is said to be "at infinity", as the distance of the image from the lens varies very little as the distance increases further.
- time without end
noun
- an approximate definition or example
- a category of things distinguished by some common characteristic or quality
- a person of a particular character or nature
- an operation that segregates items into groups according to a specified criterion
- (typography) A piece of metal type used to print one letter, character, or symbol in a particular size and style.
- (mathematics) A type.
- (British, Australia, informal) A good-looking woman.
- (computing) An algorithm for sorting a list of items into a particular sequence.
- An act of sorting.
- (informal) A person evaluated in a certain way.
- A general type.
verb
- examine in order to test suitability
- arrange or order by classes or categories
- (transitive) To arrange into some sequence, usually numerically, alphabetically or chronologically.
- (transitive) To geld.
- (transitive) To separate items into different categories according to certain criteria that determine their sorts.
- (British, colloquial, transitive) To fix (a problem) or handle (a task).
- (intransitive) To join or associate with others, especially with others of the same kind or species; to agree.
- (British, colloquial, transitive) To attack physically.
- (transitive) To conjoin; to put together in distribution; to class.
- (intransitive) To suit; to fit; to be in accord; to harmonize.
adj
- (mathematics) of a number, able to be approximated to arbitrary precision by a computable function
- Capable of being computed, or enumerated.
- (computing theory) Of a problem, solvable by a Turing machine or any thereto Turing-equivalent model; Turing-computable.
- (mathematics, set theory) Of a countably infinite set, having a computable indicator function.
- may be computed or estimated
adj
- (computing, complexity theory) Bounded above by a constant.
- Consistently recurring over time; persistent.
- Firm; solid; not fluid.
- Unchanged through time or space; permanent.
- Steady in purpose, action, feeling, etc.
- unvarying in nature
- uninterrupted in time and indefinitely long continuing
- steadfast in purpose or devotion or affection
noun
- That which is permanent or invariable.
- (sciences) Any property of an experiment, determined numerically, that does not change under given circumstances.
- (computing) An identifier that is bound to an invariant value; a fixed value given a name to aid in readability of source code.
- (algebra) A quantity that remains at a fixed value throughout a given discussion or operation.
- a quantity that does not vary
- a number representing a quantity assumed to have a fixed value in a specified mathematical context
noun
name
phrase
adj
- (mathematics) Relying on simplifying assumptions in order to create a less complex alternative to a full analytical approach.
- Similar to or having the appearance of psychoanalysis.
- Having a false appearance of relying on legitimate analysis; based on technobabble, false assumptions, or false arguments.
noun
verb
noun
- a close approximation
- a way of entering or leaving
- a relatively short golf shot intended to put the ball onto the putting green
- the event of one object coming closer to another
- the final path followed by an aircraft as it is landing
- the temporal property of becoming nearer in time
- ideas or actions intended to deal with a problem or situation
- the act of drawing spatially closer to something
- a tentative suggestion designed to elicit the reactions of others
- (also figuratively) An act of drawing near in place or time; an advancing or coming near.
- (climbing) A path taken to reach the climbing area, for example, from a car park, road, etc.
- (also figuratively) An avenue, passage, or way by which a building or place can be approached; an access.
- (aviation, also attributively) The way an aircraft comes in to land at an airport.
- (figuratively) A manner of making (a policy) or solving (a problem, etc.).
- (golf, tennis) Ellipsis of approach shot.
- A specific procedure used for approaching and landing at an airport.
- An act of coming near in character or value; an approximation.
- (bowling) The area before the lane in which a bowler may stand or run up before bowling the ball.
verb
- (transitive, mathematical analysis) Used when defining limits, preceded by as: To become arbitrarily close to some value, be it a number, vector or infinity and have an effect on another value.
- move towards
- begin to deal with
- come near or verge on, resemble, come nearer in quality, or character
- come near in time
- make advances to someone, usually with a proposal or suggestion
- (transitive) To bring (something) near something else; to cause (something) to draw near.
- (intransitive, golf, tennis) To play an approach shot.
- (intransitive) To come or go near, in place or time; to move toward; to advance nearer; to draw nigh.
- (ambitransitive, figuratively) Used intransitively, followed by to: to draw near (to someone or something); to make advances; to approximate or become almost equal.
- (transitive, also figuratively) To move toward (someone or something) in place, time, character, or value; to draw nearer to.
- (transitive) To bring up or propose to (someone) an idea, question, request, etc.
- (transitive, military) To take approaches to (a place); to move towards (a place) by using covered roads, trenches, or other works.
- (transitive, rarely intransitive) Of an immovable object or a number of such objects: to be positioned as to (notionally) appear to be moving towards (a place).
- (transitive) To attempt to make (a policy) or solve (a problem).
noun
- (countable, mathematics) An equivalence relation; ≡; ~
- (translation studies) The degree to which a term or text in one language is semantically similar to its translated counterpart.
- (uncountable, logic) The relationship between two propositions that are either both true or both false.
- (mathematics) A Boolean operation that is TRUE when both input variables are TRUE or both input variables are FALSE, but otherwise FALSE; the XNOR function.
- (geometry) A number in intersection theory. A positive-dimensional variety sometimes behaves formally as if it were a finite number of points; this number is its equivalence.
- (chemistry) The quantity of the combining power of an atom, expressed in hydrogen units; the number of hydrogen atoms can combine with, or be exchanged for; valency.
- (uncountable) The condition of being equivalent or essentially equal.
- qualities that are comparable
- a state of being essentially equal or equivalent; equally balanced
- essential equality and interchangeability
verb
noun
- (approximation theory, numerical analysis, of a function) The quantity measured by the modulus of smoothness.
- (mathematical analysis, of a function) The highest order of derivative (the differentiability class) over a given domain.
- The condition of being smooth; the degree or measure of said condition.
- the quality of having a level and even surface
- the quality of being free from errors or interruptions
- powerful and effective language
- the quality of being bland and gracious or ingratiating in manner
- a texture without roughness; smooth to the touch
noun
- (mathematics) A calculation of an estimate of the value of some function outside the range of known values.
- (music) The diametric opposite of interpolation.
- An inference about some hypothetical situation based on known facts.
- (mathematics) calculation of the value of a function outside the range of known values
- an inference about the future (or about some hypothetical situation) based on known facts and observations
noun
- (countable, physics) An approximation that allows aspects of a mathematical theory to be discussed in ordinary language.
- (countable) A sense given by an interpreter; an exposition or explanation given; meaning.
- (uncountable, linguistics, translation studies) The discipline or study of translating one spoken or signed language into another (as opposed to translation, which concerns itself with written language).
- (countable) An act or process of applying general principles or formulae to the explanation of the results obtained in special cases.
- (countable) An act of interpreting or explaining something unclear; a translation; a version.
- (uncountable) The power of explaining.
- (countable, logic, model theory) An assignment of a truth value to each propositional symbol of a propositional calculus.
- Short for heritage interpretation
- (countable) An artist's way of expressing thought or embodying a conception of nature through art.
- a mental representation of the meaning or significance of something
- the act of interpreting something as expressed in an artistic performance
- an explanation of something that is not immediately obvious
- an explanation that results from interpreting something
noun
- (mathematics) A method of proof of a theorem by first proving it for a specific case (often an integer; usually 0 or 1) and showing that, if it is true for one case then it must be true for the next.
- An act of inducting.
- (embryology) Given a group of cells that emits or displays a substance, the influence of this substance on the fate of a second group of cells.
- (logic) Derivation of general principles from specific instances.
- (mechanical engineering) The delivery of air to the cylinders of an internal combustion piston engine.
- The process of showing a newcomer around a place where they will work or study.
- (theater) Use of rumors to twist and complicate the plot of a play or to narrate in a way that does not have to state truth nor fact within the play.
- A formal ceremony in which a person is appointed to an office or into military service.
- An act of inducing.
- (physics) Generation of an electric current by a varying magnetic field.
- (medicine) The process of inducing labour for the childbirth process.
- stimulation that calls up (draws forth) a particular class of behaviors
- an electrical phenomenon whereby an electromotive force (EMF) is generated in a closed circuit by a change in the flow of current
- an act that sets in motion some course of events
- a formal entry into an organization or position or office
- reasoning from detailed facts to general principles
- the act of bringing about something (especially at an early time)
noun
- (mathematics) The absolute value of a complex number.
- (physics) A coefficient that expresses how much of a certain property is possessed by a certain substance.
- (computing, programming) An operator placed between two numbers, to get the remainder of the division of those numbers.
- (physics) A scalar field controlling the shape and size of extra dimensions in a compactification.
- (mathematics) The base with respect to which a congruence is computed.
- an integer that can be divided without remainder into the difference between two other integers
- the absolute value of a complex number
- (physics) a coefficient that expresses how much of a specified property is possessed by a specified substance
noun
- (countable, topology, mathematical analysis) An idealised point which is said to be approached by sequences of values whose magnitudes increase without bound.
- (countable, mathematics) A number that has an infinite numerical value that cannot be counted.
- (countable, uncountable) The symbol ∞.
- (uncountable) endlessness, unlimitedness, absence of a beginning, end or limits to size.
- (uncountable) A number which is very large compared to some characteristic number. For example, in optics, an object which is much further away than the focal length of a lens is said to be "at infinity", as the distance of the image from the lens varies very little as the distance increases further.
- time without end
noun
- an approximate definition or example
- a category of things distinguished by some common characteristic or quality
- a person of a particular character or nature
- an operation that segregates items into groups according to a specified criterion
- (typography) A piece of metal type used to print one letter, character, or symbol in a particular size and style.
- (mathematics) A type.
- (British, Australia, informal) A good-looking woman.
- (computing) An algorithm for sorting a list of items into a particular sequence.
- An act of sorting.
- (informal) A person evaluated in a certain way.
- A general type.
verb
- examine in order to test suitability
- arrange or order by classes or categories
- (transitive) To arrange into some sequence, usually numerically, alphabetically or chronologically.
- (transitive) To geld.
- (transitive) To separate items into different categories according to certain criteria that determine their sorts.
- (British, colloquial, transitive) To fix (a problem) or handle (a task).
- (intransitive) To join or associate with others, especially with others of the same kind or species; to agree.
- (British, colloquial, transitive) To attack physically.
- (transitive) To conjoin; to put together in distribution; to class.
- (intransitive) To suit; to fit; to be in accord; to harmonize.
noun
name
phrase
verb
noun
- (logic) A syntactically correct expression that is deducible from the given axioms of a deductive system.
- (mathematics) A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas.
- (mathematics, colloquial, nonstandard) A mathematical statement that is expected to be true.
- a proposition deducible from basic postulates
- an idea accepted as a demonstrable truth
noun
- a close approximation
- a way of entering or leaving
- a relatively short golf shot intended to put the ball onto the putting green
- the event of one object coming closer to another
- the final path followed by an aircraft as it is landing
- the temporal property of becoming nearer in time
- ideas or actions intended to deal with a problem or situation
- the act of drawing spatially closer to something
- a tentative suggestion designed to elicit the reactions of others
- (also figuratively) An act of drawing near in place or time; an advancing or coming near.
- (climbing) A path taken to reach the climbing area, for example, from a car park, road, etc.
- (also figuratively) An avenue, passage, or way by which a building or place can be approached; an access.
- (aviation, also attributively) The way an aircraft comes in to land at an airport.
- (figuratively) A manner of making (a policy) or solving (a problem, etc.).
- (golf, tennis) Ellipsis of approach shot.
- A specific procedure used for approaching and landing at an airport.
- An act of coming near in character or value; an approximation.
- (bowling) The area before the lane in which a bowler may stand or run up before bowling the ball.
verb
- (transitive, mathematical analysis) Used when defining limits, preceded by as: To become arbitrarily close to some value, be it a number, vector or infinity and have an effect on another value.
- move towards
- begin to deal with
- come near or verge on, resemble, come nearer in quality, or character
- come near in time
- make advances to someone, usually with a proposal or suggestion
- (transitive) To bring (something) near something else; to cause (something) to draw near.
- (intransitive, golf, tennis) To play an approach shot.
- (intransitive) To come or go near, in place or time; to move toward; to advance nearer; to draw nigh.
- (ambitransitive, figuratively) Used intransitively, followed by to: to draw near (to someone or something); to make advances; to approximate or become almost equal.
- (transitive, also figuratively) To move toward (someone or something) in place, time, character, or value; to draw nearer to.
- (transitive) To bring up or propose to (someone) an idea, question, request, etc.
- (transitive, military) To take approaches to (a place); to move towards (a place) by using covered roads, trenches, or other works.
- (transitive, rarely intransitive) Of an immovable object or a number of such objects: to be positioned as to (notionally) appear to be moving towards (a place).
- (transitive) To attempt to make (a policy) or solve (a problem).
adj
- (mathematics) Of, or relating to algebra or a similar method of analysis.
- Of, or relating to division into elements or principles.
- (mathematical analysis) Being defined in terms of objects of differential calculus such as derivatives.
- (mathematics, of a function) Being able to be locally represented by convergent power series around every point of the domain.
- (logic, of a proposition) that follows necessarily by definition; tautologous.
- Of, or relating to any form of analysis, or to analytics.
- (linguistics) Of a language, having a grammar principally dependent on the arrangement of uninflected function words within sentences to indicate meaning.
- Having the ability to analyse.
- using or skilled in using analysis (i.e., separating a whole — intellectual or substantial — into its elemental parts or basic principles)
- using or subjected to a methodology using algebra and calculus
- expressing a grammatical category by using two or more words rather than inflection
- of a proposition that is necessarily true independent of fact or experience
adj
- (mathematics, representation theory, topological algebra, of a representation) That is the result of a required adjustment of an induced representation that would, unadjusted, give rise to (only) a quasi-invariant measure.
- (mathematics, mathematical analysis, of a mapping from a multi-dimensional space or manifold to an equivalent space) Having certain properties in common with holomorphic functions of a single complex variable.
- (mathematics, ring theory, of an element r of a ring) Such that 1 − r is a unit (has a multiplicative inverse).
- Having some regular characteristics.
- (geometry, of a polyhedron or tessellation) That is semiregular with regular faces of precisely two types that alternate around each vertex.
adj
- (mathematics) of a number, able to be approximated to arbitrary precision by a computable function
- Capable of being computed, or enumerated.
- (computing theory) Of a problem, solvable by a Turing machine or any thereto Turing-equivalent model; Turing-computable.
- (mathematics, set theory) Of a countably infinite set, having a computable indicator function.
- may be computed or estimated
adj
- (computing, complexity theory) Bounded above by a constant.
- Consistently recurring over time; persistent.
- Firm; solid; not fluid.
- Unchanged through time or space; permanent.
- Steady in purpose, action, feeling, etc.
- unvarying in nature
- uninterrupted in time and indefinitely long continuing
- steadfast in purpose or devotion or affection
noun
- That which is permanent or invariable.
- (sciences) Any property of an experiment, determined numerically, that does not change under given circumstances.
- (computing) An identifier that is bound to an invariant value; a fixed value given a name to aid in readability of source code.
- (algebra) A quantity that remains at a fixed value throughout a given discussion or operation.
- a quantity that does not vary
- a number representing a quantity assumed to have a fixed value in a specified mathematical context
adj
- (mathematics) Relying on simplifying assumptions in order to create a less complex alternative to a full analytical approach.
- Similar to or having the appearance of psychoanalysis.
- Having a false appearance of relying on legitimate analysis; based on technobabble, false assumptions, or false arguments.