Mots en English pour 'Using algebra.'
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adj
- Of, or relating to, algebra.
- of or relating to algebra
- (algebra, of a field) Whose every element is a root of some polynomial whose coefficients are rational.
- (chess, of notation) Describing squares by file (referred to in intrinsic order rather than by the piece starting on that file) and rank, both with reference to a fixed point rather than a player-dependent perspective.
- (algebra, number theory, of a number) Which is a root of some polynomial whose coefficients are rational.
- (mathematics, of an expression, equation, or function) Containing only numbers, letters, and arithmetic operators.
noun
- (algebra) A systematic method of adding multiplicative inverses to a ring.
- (software engineering) The act, process, or result of making a product suitable for use in a particular country or region.
- (translation studies, chiefly software, marketing) The act, process, or result of adapting translated text to fit a local culture; domestication.
- (algebra) A ring of fractions of a given ring, such that the complement of the set of allowed denominators is an ideal.
- The act of localizing.
- (Hong Kong politics, specifically) The switch of positions in power from the colonizing population to the local population.
- The state of being localized.
- (physiology) the principle that specific functions have relatively circumscribed locations in some particular part or organ of the body
- a determination of the place where something is
noun
adj
name
noun
- (algebra) A polynomial with two terms.
- (taxonomy) A scientific name at the rank of species, with two terms: a generic name and a specific name.
- (algebra) A quantity expressed as the sum or difference of two terms.
- (mathematics) a quantity expressed as a sum or difference of two terms; a polynomial with two terms
adj
noun
- A universal algebra.
- (figurative) A system or process (especially one that is complex or convoluted) that substitutes one thing for another, or uses signs or symbols to represent concepts or ideas.
- An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.
- (countable, set theory, mathematical analysis) A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).
- (uncountable, mathematics, sometimes capitalized) Abstract algebra: A broad field of study in modern mathematics (often mentioned alongside analysis) loosely characterized by its concern for abstraction and symmetry, dealing with the behavior, classification, and application of a large class of objects (called algebraic structures) and the maps between them (called, most generally, morphisms).
- (uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
- (uncountable, mathematics) Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
- the mathematics of generalized arithmetical operations
adj
- (algebra, of an algebraic structure) Having a commutative operation.
- (mathematics, of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation.
- Relating to exchange; interchangeable.
- (mathematics, of a diagram of morphisms) Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.
- (of a binary operation) independent of order; as in e.g.: ‘a x b’ = ‘b x a’
adj
- (algebra, of an ideal) Having its complement closed under multiplication.
- Early; blooming; being in the first stage.
- First in excellence, quality, or value.
- First in importance, degree, or rank.
- (algebra, of a nonzero module) Such that the annihilator of any nonzero submodule is equal to the annihilator of the whole module.
- First in time, order, or sequence.
- Marked or distinguished by the prime symbol.
- (mathematics, technical) Such that if it divides a product, it divides one of the multiplicands.
- (mathematics, lay) Having exactly two integral factors: itself and unity (1 in the case of integers).
- used of the first or originating agent
- being at the best stage of development
- first in rank or degree
- of or relating to or being an integer that cannot be factored into other integers
- of superior grade
noun
- (Christianity) The religious service appointed to this hour.
- (historical) The first hour of daylight; the first canonical hour.
- The symbol ′ used to indicate feet, minutes, derivation and other measures and mathematical operations.
- (algebra, number theory) A prime element of a mathematical structure, particularly a prime number.
- The most active, thriving, or successful stage or period.
- A feather, from the wing of the cock ostrich, that is of the palest possible shade.
- (psychology) A stimulus which causes priming.
- The chief or best individual or part.
- An inch, as composed of twelve seconds in the duodecimal system.
- (backgammon) A series of consecutive blocks. A prime of six prevents the opponent's pieces from passing.
- (fencing) The first defensive position, with the sword hand held at head height, and the tip of the sword at head height.
- (card games) A four-card hand containing one card of each suit in the game of primero; the opposite of a flush in poker.
- Something which is first in importance or rank: a prime defense company, mortgage lender, etc.
- (film) Contraction of prime lens, a film lens.
- (cycling) An intermediate sprint within a race, usually offering a prize and/or points.
- (music) The first note or tone of a musical scale.
- the period of greatest prosperity or productivity
- a natural number that has exactly two distinct natural number divisors: 1 and itself
- the second canonical hour; about 6 a.m.
- the time of maturity when power and vigor are greatest
verb
- (mathematics) To mark with a prime mark.
- (transitive) To fill or prepare the chamber of a mechanism for its main work.
- To apply priming to (a musket or cannon); to apply a primer to (a metallic cartridge).
- (intransitive, of a steam boiler) To work so that foaming occurs from too violent ebullition, which causes water to become mixed with, and be carried along with, the steam that is formed.
- (intransitive) To serve as priming for the charge of a gun.
- To prepare; to make ready.
- (transitive) To apply a coat of primer paint to.
- fill with priming liquid
- cover with a primer; apply a primer to
- insert a primer into (a gun, mine, or charge) preparatory to detonation or firing
noun
adj
- (Lie theory, of an element x of a Lie algebra L) Belonging to the derived algebra of L and such that the adjoint action of x is nilpotent (as a linear transformation on L).
- (of an algebra over a commutative ring) Such that there exists some natural number n (called the index of the algebra) such that all products (of elements in the given algebra) of length n are zero.
- (Lie theory, of a Lie algebra) Such that the lower central series terminates.
- (ring theory, of an ideal I) Such that there exists a natural number k with Iᵏ = 0.
- (semigroup theory, of a semigroup with zero) Containing only nilpotent elements.
- (mathematics, algebra, ring theory, of an element x of a ring) Such that, for some positive integer n, xⁿ = 0.
- (group theory, of a group) Admitting a central series of finite length.
- equal to zero when raised to a certain power
noun
adj
- (linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable.
- (complex analysis, physics, engineering) Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions).
- linear with respect to each of two variables or positions
adj
noun
- (taxonomy) A taxonomic designation (such as of a subspecies) consisting of more than two terms.
- (linguistics, Sinology) A type of term consisting of multiple parts.
- (algebra, strict sense) An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as a_nxⁿ+a_n-1xⁿ⁻¹+...+a_0x⁰.
- a mathematical function that is the sum of a number of terms
adj
- using or subjected to a methodology using algebra and calculus
- (mathematics) Of, or relating to algebra or a similar method of analysis.
- using or skilled in using analysis (i.e., separating a whole — intellectual or substantial — into its elemental parts or basic principles)
- 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
- 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.
adj
- (algebra, commutative algebra, of a ring element in a ring B relative to a subring A) Being the root of some monic polynomial in A.
- Constituting a whole together with other parts or factors; not omittable or removable.
- (mathematics) Relating to integration (“the process of finding the integral [noun] of a function”).
- (mathematics) Of, pertaining to, or being an integer.
- constituting the undiminished entirety; lacking nothing essential especially not damaged
- of or denoted by an integer
- existing as an essential constituent or characteristic
noun
- (mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.
- (mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign.
- (specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
- (mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;
- the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
noun
- (algebra, ring theory) Initialism of central simple algebra.
- (countable) Initialism of community service announcement.
- (uncountable) Initialism of child sexual abuse.
- (US) Initialism of combined statistical area.
- (algebra, Lie theory) Initialism of Cartan subalgebra.
- (uncountable) Initialism of community-supported agriculture.
name
- (Northern Ireland) Initialism of Central Services Agency.
- (British) Initialism of Child Support Agency.
- (Canada, space flight) Initialism of Canadian Space Agency.
- (Canada) Initialism of Canadian Standards Association.
- (US) Initialism of Confederate States of America.
- (US) Initialism of Controlled Substances Act.
noun
- (algebra) An operation on a group, analogous to negation.
- (grammar) Deviation from standard word order, as for example by putting the predicate before the subject. It takes place in questions with auxiliary verbs; in normal, affirmative clauses beginning with a negative particle, for the purpose of emphasis; and in other rhetorical devices or unusual situations.
- (meteorology) A situation where air temperature increases with altitude (the ground being colder than the surrounding air).
- The act of being in an inverted state; being upside down, inside out, or in a reverse sequence.
- (music) The reversal of an interval; the move of one pitch in an interval up or down an octave.
- A section of a roller coaster where passengers are temporarily turned upside down.
- (music) The position of a chord which has a note other than the root as its bass note.
- (biochemistry) The catalytic action of invertase.
- (genetics) A segment of DNA in the context of a chromosome that is reversed in orientation relative to a reference karyotype or genome.
- The action of inverting.
- (music) The flipping of a melody or contrapuntal line so that high notes become low and vice versa; the reversal of a pitch contour.
- the reversal of the normal order of words
- a chemical process in which the direction of optical rotation of a substance is reversed from dextrorotatory to levorotary or vice versa
- the layer of air near the earth is cooler than an overlying layer
- a term formerly used to mean taking on the gender role of the opposite sex
- abnormal condition in which an organ is turned inward or inside out (as when the upper part of the uterus is pulled into the cervical canal after childbirth)
- the act of turning inside out
- turning upside down; setting on end
- (counterpoint) a variation of a melody or part in which ascending intervals are replaced by descending intervals and vice versa
- (genetics) a kind of mutation in which the order of the genes in a section of a chromosome is reversed
name
- (algebraic geometry) Initialism of Éléments de géométrie algébrique.
- (military, US) Initialism of Eagle, Globe, and Anchor.
- (computer graphics) Initialism of enhanced graphics adapter, an obsolete computer display standard between CGA and VGA, offering sixteen colours on screen from a palette of sixty-four.
noun
- (algebra) A systematic method of adding multiplicative inverses to a ring.
- (software engineering) The act, process, or result of making a product suitable for use in a particular country or region.
- (translation studies, chiefly software, marketing) The act, process, or result of adapting translated text to fit a local culture; domestication.
- (algebra) A ring of fractions of a given ring, such that the complement of the set of allowed denominators is an ideal.
- The act of localizing.
- (Hong Kong politics, specifically) The switch of positions in power from the colonizing population to the local population.
- The state of being localized.
- (physiology) the principle that specific functions have relatively circumscribed locations in some particular part or organ of the body
- a determination of the place where something is
noun
adj
name
noun
- (algebra) A polynomial with two terms.
- (taxonomy) A scientific name at the rank of species, with two terms: a generic name and a specific name.
- (algebra) A quantity expressed as the sum or difference of two terms.
- (mathematics) a quantity expressed as a sum or difference of two terms; a polynomial with two terms
adj
noun
- A universal algebra.
- (figurative) A system or process (especially one that is complex or convoluted) that substitutes one thing for another, or uses signs or symbols to represent concepts or ideas.
- An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.
- (countable, set theory, mathematical analysis) A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).
- (uncountable, mathematics, sometimes capitalized) Abstract algebra: A broad field of study in modern mathematics (often mentioned alongside analysis) loosely characterized by its concern for abstraction and symmetry, dealing with the behavior, classification, and application of a large class of objects (called algebraic structures) and the maps between them (called, most generally, morphisms).
- (uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
- (uncountable, mathematics) Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
- the mathematics of generalized arithmetical operations
noun
adj
- (Lie theory, of an element x of a Lie algebra L) Belonging to the derived algebra of L and such that the adjoint action of x is nilpotent (as a linear transformation on L).
- (of an algebra over a commutative ring) Such that there exists some natural number n (called the index of the algebra) such that all products (of elements in the given algebra) of length n are zero.
- (Lie theory, of a Lie algebra) Such that the lower central series terminates.
- (ring theory, of an ideal I) Such that there exists a natural number k with Iᵏ = 0.
- (semigroup theory, of a semigroup with zero) Containing only nilpotent elements.
- (mathematics, algebra, ring theory, of an element x of a ring) Such that, for some positive integer n, xⁿ = 0.
- (group theory, of a group) Admitting a central series of finite length.
- equal to zero when raised to a certain power
noun
adj
- (linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable.
- (complex analysis, physics, engineering) Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions).
- linear with respect to each of two variables or positions
noun
- (algebra, ring theory) Initialism of central simple algebra.
- (countable) Initialism of community service announcement.
- (uncountable) Initialism of child sexual abuse.
- (US) Initialism of combined statistical area.
- (algebra, Lie theory) Initialism of Cartan subalgebra.
- (uncountable) Initialism of community-supported agriculture.
name
- (Northern Ireland) Initialism of Central Services Agency.
- (British) Initialism of Child Support Agency.
- (Canada, space flight) Initialism of Canadian Space Agency.
- (Canada) Initialism of Canadian Standards Association.
- (US) Initialism of Confederate States of America.
- (US) Initialism of Controlled Substances Act.
noun
- (algebra) An operation on a group, analogous to negation.
- (grammar) Deviation from standard word order, as for example by putting the predicate before the subject. It takes place in questions with auxiliary verbs; in normal, affirmative clauses beginning with a negative particle, for the purpose of emphasis; and in other rhetorical devices or unusual situations.
- (meteorology) A situation where air temperature increases with altitude (the ground being colder than the surrounding air).
- The act of being in an inverted state; being upside down, inside out, or in a reverse sequence.
- (music) The reversal of an interval; the move of one pitch in an interval up or down an octave.
- A section of a roller coaster where passengers are temporarily turned upside down.
- (music) The position of a chord which has a note other than the root as its bass note.
- (biochemistry) The catalytic action of invertase.
- (genetics) A segment of DNA in the context of a chromosome that is reversed in orientation relative to a reference karyotype or genome.
- The action of inverting.
- (music) The flipping of a melody or contrapuntal line so that high notes become low and vice versa; the reversal of a pitch contour.
- the reversal of the normal order of words
- a chemical process in which the direction of optical rotation of a substance is reversed from dextrorotatory to levorotary or vice versa
- the layer of air near the earth is cooler than an overlying layer
- a term formerly used to mean taking on the gender role of the opposite sex
- abnormal condition in which an organ is turned inward or inside out (as when the upper part of the uterus is pulled into the cervical canal after childbirth)
- the act of turning inside out
- turning upside down; setting on end
- (counterpoint) a variation of a melody or part in which ascending intervals are replaced by descending intervals and vice versa
- (genetics) a kind of mutation in which the order of the genes in a section of a chromosome is reversed
adj
- Of, or relating to, algebra.
- of or relating to algebra
- (algebra, of a field) Whose every element is a root of some polynomial whose coefficients are rational.
- (chess, of notation) Describing squares by file (referred to in intrinsic order rather than by the piece starting on that file) and rank, both with reference to a fixed point rather than a player-dependent perspective.
- (algebra, number theory, of a number) Which is a root of some polynomial whose coefficients are rational.
- (mathematics, of an expression, equation, or function) Containing only numbers, letters, and arithmetic operators.
adj
- (algebra, of an algebraic structure) Having a commutative operation.
- (mathematics, of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation.
- Relating to exchange; interchangeable.
- (mathematics, of a diagram of morphisms) Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.
- (of a binary operation) independent of order; as in e.g.: ‘a x b’ = ‘b x a’
adj
- (algebra, of an ideal) Having its complement closed under multiplication.
- Early; blooming; being in the first stage.
- First in excellence, quality, or value.
- First in importance, degree, or rank.
- (algebra, of a nonzero module) Such that the annihilator of any nonzero submodule is equal to the annihilator of the whole module.
- First in time, order, or sequence.
- Marked or distinguished by the prime symbol.
- (mathematics, technical) Such that if it divides a product, it divides one of the multiplicands.
- (mathematics, lay) Having exactly two integral factors: itself and unity (1 in the case of integers).
- used of the first or originating agent
- being at the best stage of development
- first in rank or degree
- of or relating to or being an integer that cannot be factored into other integers
- of superior grade
noun
- (Christianity) The religious service appointed to this hour.
- (historical) The first hour of daylight; the first canonical hour.
- The symbol ′ used to indicate feet, minutes, derivation and other measures and mathematical operations.
- (algebra, number theory) A prime element of a mathematical structure, particularly a prime number.
- The most active, thriving, or successful stage or period.
- A feather, from the wing of the cock ostrich, that is of the palest possible shade.
- (psychology) A stimulus which causes priming.
- The chief or best individual or part.
- An inch, as composed of twelve seconds in the duodecimal system.
- (backgammon) A series of consecutive blocks. A prime of six prevents the opponent's pieces from passing.
- (fencing) The first defensive position, with the sword hand held at head height, and the tip of the sword at head height.
- (card games) A four-card hand containing one card of each suit in the game of primero; the opposite of a flush in poker.
- Something which is first in importance or rank: a prime defense company, mortgage lender, etc.
- (film) Contraction of prime lens, a film lens.
- (cycling) An intermediate sprint within a race, usually offering a prize and/or points.
- (music) The first note or tone of a musical scale.
- the period of greatest prosperity or productivity
- a natural number that has exactly two distinct natural number divisors: 1 and itself
- the second canonical hour; about 6 a.m.
- the time of maturity when power and vigor are greatest
verb
- (mathematics) To mark with a prime mark.
- (transitive) To fill or prepare the chamber of a mechanism for its main work.
- To apply priming to (a musket or cannon); to apply a primer to (a metallic cartridge).
- (intransitive, of a steam boiler) To work so that foaming occurs from too violent ebullition, which causes water to become mixed with, and be carried along with, the steam that is formed.
- (intransitive) To serve as priming for the charge of a gun.
- To prepare; to make ready.
- (transitive) To apply a coat of primer paint to.
- fill with priming liquid
- cover with a primer; apply a primer to
- insert a primer into (a gun, mine, or charge) preparatory to detonation or firing
adj
noun
- (taxonomy) A taxonomic designation (such as of a subspecies) consisting of more than two terms.
- (linguistics, Sinology) A type of term consisting of multiple parts.
- (algebra, strict sense) An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as a_nxⁿ+a_n-1xⁿ⁻¹+...+a_0x⁰.
- a mathematical function that is the sum of a number of terms
adj
- using or subjected to a methodology using algebra and calculus
- (mathematics) Of, or relating to algebra or a similar method of analysis.
- using or skilled in using analysis (i.e., separating a whole — intellectual or substantial — into its elemental parts or basic principles)
- 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
- 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.
adj
- (algebra, commutative algebra, of a ring element in a ring B relative to a subring A) Being the root of some monic polynomial in A.
- Constituting a whole together with other parts or factors; not omittable or removable.
- (mathematics) Relating to integration (“the process of finding the integral [noun] of a function”).
- (mathematics) Of, pertaining to, or being an integer.
- constituting the undiminished entirety; lacking nothing essential especially not damaged
- of or denoted by an integer
- existing as an essential constituent or characteristic
noun
- (mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.
- (mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign.
- (specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
- (mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;
- the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)