Mots en English pour '(linear algebra) A bilinear function.'
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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
- (mathematics, multilinear algebra, of a bilinear form) That is alternating and nondegenerate.
- (mathematics, multilinear algebra, of a vector space) That is equipped with an alternating nondegenerate bilinear form.
- (petrology, mineralogy) Of or pertaining to a symplectite; symplectitic.
- (group theory, of a group) Whose characteristic abelian subgroups are cyclic.
- That moves in the same direction as a system of synchronized waves.
- (mathematics) Of or pertaining to (the geometry of) a differentiable manifold equipped with a closed nondegenerate bilinear form.
- Placed in or among, as if woven together.
noun
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
noun
adj
noun
adj
- (object-oriented programming) Using or relating to covariance.
- (category theory, of a functor) Which preserves the order of morphism composition: formally, which associates each morphism f:X→Y to a morphism F(f):F(X)→F(Y).
- changing so that interrelations with another variable quantity or set of quantities remain unchanged
adj
- (linear algebra, of matrix) Having no inverse.
- Being the only one of the kind; unique.
- Being only one of a larger population; single, individual.
- (set theory, of a cardinal number) Not equal to its own cofinality.
- Distinguished by superiority: peerless, unmatched, eminent, exceptional, extraordinary.
- (linear algebra, of transformation) Having the property that the matrix of coefficients of the new variables has a determinant equal to zero.
- (chiefly law) Each; individual.
- (grammar) Referring to only one thing or person.
- Out of the ordinary; curious.
- unusual or striking
- the single one of its kind
- being a single and separate person or thing
- beyond or deviating from the usual or expected
- grammatical number category referring to a single item or unit
- composed of one member, set, or kind
noun
adj
- (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)
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’
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
- (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
- (algebra, of a coalgebra over an element g) An element x ∈ C such that μ(x) = x ⊗ g + g ⊗ x, where μ is the comultiplication and g is an element that maps to the multiplicative identity 1 of the base field under the counit (in particular, if C is a bialgebra, g = 1).
- (algebra, lattice theory, of a lattice) An element that is not a positive integer multiple of another element of the lattice.
- (algebra, field theory) An element that generates a simple extension.
- (number theory) Given a modulus n, a number g such that every number coprime to n is congruent (modulo n) to some power of g; equivalently, a generator of the multiplicative field of integers modulo n.
- (group theory, of a free group) An element of a free generating set of a given free group.
- (algebra, field theory, of a finite field) An element that generates the multiplicative group of a given Galois field (finite field).
adj
- (linear algebra) Being the space of all linear functionals of (some other space).
- (grammar) Pertaining to a grammatical number in certain languages that refers to two of something, such as a pair of shoes.
- Pertaining to two, pertaining to a pair of.
- (category theory) Being the dual of some other category; containing the same objects but with source and target reversed for all morphisms.
- (mathematics, physics) Exhibiting duality.
- Characterized by having two (usually equivalent) components.
- having more than one decidedly dissimilar aspects or qualities
- consisting of or involving two parts or components usually in pairs
- a grammatical number category referring to two items or units as opposed to one item (singular) or more than two items (plural)
noun
- (geometry) Of a regular polyhedron with V vertices and F faces, the regular polyhedron having F vertices and V faces.
- (wrestling) A head-to-head match or meet between two teams, such as two high schools or colleges.
- (grammar) The dual number.
- (mathematics) Of a vector in an inner product space, the linear functional corresponding to taking the inner product with that vector. The set of all duals is a vector space called the dual space.
- Of an item that is one of a pair, the other item in the pair.
verb
noun
adj
noun
- (mathematics, functional analysis) Of a bounded linear operator A, the set of scalar values λ such that the operator A—λI, where I denotes the identity operator, does not have a bounded inverse; intended as a generalisation of the linear algebra sense.
- (mathematics, linear algebra) The set of eigenvalues of a matrix.
- (psychology, education, usually with the) The autism spectrum.
- Specifically, a range of colours representing light (electromagnetic radiation) of contiguous frequencies; hence electromagnetic spectrum, visible spectrum, ultraviolet spectrum, etc.
- A range; a continuous, infinite, one-dimensional set, possibly bounded by extremes.
- The image of something seen that persists after the eyes are closed.
- (chemistry) The pattern of absorption or emission of radiation produced by a substance when subjected to energy (radiation, heat, electricity, etc.).
- (commutative algebra, algebraic geometry) An abstract object in mathematics created from a commutative ring R and denoted operatorname Spec(R) or operatorname SpecR and said to be the spectrum of R; useful in the study of such rings for providing a geometric object which encodes many of the properties R, and in modern geometry for generalizing the notion of an algebraic variety to that of an affine scheme. Formally, the set of all prime ideals R equipped with the Zariski topology and augmented with a sheaf of rings called the structure sheaf, generated by the B-sheaf on the distinguished open sets D_f which assigns the localization of R at f to each set D_f, regarded as a ring of functions on D_f. See Spectrum of a ring on Wikipedia.Wikipedia
- an ordered array of the components of an emission or wave
- a broad range of related objects or values or qualities or ideas or activities
noun
- (algebra) An algebraic structure which consists of a set with two binary operations: an additive operation and a multiplicative operation, such that the set is an abelian group under the additive operation, a monoid under the multiplicative operation, and such that the multiplicative operation is distributive with respect to the additive operation.
- (colloquial) A telephone call.
- (typography) A diacritical mark in the shape of a hollow circle placed above or under the letter; a kroužek.
- Any loud sound; the sound of numerous voices; a sound continued, repeated, or reverberated.
- In a jack plug, the connector between the tip and the sleeve.
- (Internet) Ellipsis of webring.
- A circular group of people or objects.
- (astronomy) A formation of various pieces of material orbiting around a planet or young star.
- (vulgar) The rectum, anus, or anal sphincters.
- (historical) An instrument, formerly used for taking the sun's altitude, consisting of a brass ring suspended by a swivel, with a hole at one side through which a solar ray entering indicated the altitude on the graduated inner surface opposite.
- (chemistry) A group of atoms linked by bonds to form a closed chain in a molecule.
- A piece of food in the shape of a ring.
- An exclusive group of people, usually involving some unethical or illegal practices.
- (mathematical analysis, measure theory) A family of sets that is closed under finite unions and set-theoretic differences.
- (geometry) A planar geometrical figure included between two concentric circles.
- (historical) An old English measure of corn equal to the coomb or half a quarter.
- The resonant sound of a bell, or a sound resembling it.
- A chime, or set of bells harmonically tuned.
- (algebra) An algebraic structure as above, but only required to be a semigroup under the multiplicative operation, that is, there need not be a multiplicative identity element.
- (figuratively) A sound or appearance that is characteristic of something.
- A long stripe of contrastive material, colour, etc, that encircles something.
- (computing theory) A hierarchical level of privilege in a computer system, usually at hardware level, used to protect data and functionality (also protection ring).
- (British) A large circular prehistoric stone construction such as Stonehenge.
- A circumscribing object, (roughly) circular and hollow, looking like an annual ring, earring, finger ring etc.
- A place where some sports or exhibitions take place; notably a circular or comparable arena, such as a boxing ring or a circus ring; hence the field of a political contest.
- (jewelry) A round piece of (precious) metal worn around the finger or through the ear, nose, etc.
- (networking) A network topology where connected devices form a circular data channel. All computers on the ring can see every message, and there are no collisions, and a single point of failure will occur if any part of the ring breaks.
- (firearms) Either of the pair of clamps used to hold a telescopic sight to a rifle.
- (figuratively) A pleasant or correct sound.
- (UK) A burner on a kitchen stove.
- The open space in front of a racecourse stand, used for betting purposes.
- (cartomancy) The twenty-fifth Lenormand card.
- (botany) A flexible band partly or wholly encircling the spore cases of ferns.
- (UK) A bird band, a round piece of metal put around a bird's leg used for identification and studies of migration.
- (mathematics, order theory) A family of sets closed under finite union and finite intersection.
- a strip of material attached to the leg of a bird to identify it (as in studies of bird migration)
- a platform usually marked off by ropes in which contestants box or wrestle
- (chemistry) a chain of atoms in a molecule that forms a closed loop
- an association of criminals
- a rigid circular band of metal or wood or other material used for holding or fastening or hanging or pulling
- a characteristic sound
- jewelry consisting of a circlet of precious metal (often set with jewels) worn on the finger
- the sound of a bell ringing
- a toroidal shape
verb
- (transitive) To enclose or surround.
- (intransitive) to resound, reverberate, echo.
- (transitive) To attach a ring to, especially for identification.
- To ring up (enter into a cash register or till)
- (intransitive, figuratively) To produce the sound of a bell or a similar sound.
- (transitive, colloquial, British, Australia, New Zealand) To telephone (someone).
- (Australia, transitive) To ride around (a group of animals, especially cattle) to keep them milling in one place; hence (intransitive), to work as a drover, to muster cattle.
- (transitive, figuratively) To make an incision around; to girdle; to cut away a circular tract of bark from a tree in order to kill it.
- (transitive) To make (a bell, etc.) produce a resonant sound.
- (transitive) To surround or fit with a ring, or as if with a ring.
- (intransitive) Of a bell, etc., to produce a resonant sound.
- (transitive) To steal and change the identity of (cars) in order to resell them.
- (transitive) To produce (a sound) by ringing.
- (falconry) To rise in the air spirally.
- (intransitive) To produce music with bells.
- (intransitive, figuratively) Of something spoken or written, to appear to be, to seem, to sound.
- sound loudly and sonorously
- ring or echo with sound
- attach a ring to the foot of, in order to identify
- get or try to get into communication (with someone) by telephone
- make (bells) ring, often for the purposes of musical edification
- extend on all sides of simultaneously; encircle
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
adj
noun
adj
- (object-oriented programming) Using or relating to covariance.
- (category theory, of a functor) Which preserves the order of morphism composition: formally, which associates each morphism f:X→Y to a morphism F(f):F(X)→F(Y).
- changing so that interrelations with another variable quantity or set of quantities remain unchanged
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
- (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
- (algebra, of a coalgebra over an element g) An element x ∈ C such that μ(x) = x ⊗ g + g ⊗ x, where μ is the comultiplication and g is an element that maps to the multiplicative identity 1 of the base field under the counit (in particular, if C is a bialgebra, g = 1).
- (algebra, lattice theory, of a lattice) An element that is not a positive integer multiple of another element of the lattice.
- (algebra, field theory) An element that generates a simple extension.
- (number theory) Given a modulus n, a number g such that every number coprime to n is congruent (modulo n) to some power of g; equivalently, a generator of the multiplicative field of integers modulo n.
- (group theory, of a free group) An element of a free generating set of a given free group.
- (algebra, field theory, of a finite field) An element that generates the multiplicative group of a given Galois field (finite field).
noun
adj
noun
- (mathematics, functional analysis) Of a bounded linear operator A, the set of scalar values λ such that the operator A—λI, where I denotes the identity operator, does not have a bounded inverse; intended as a generalisation of the linear algebra sense.
- (mathematics, linear algebra) The set of eigenvalues of a matrix.
- (psychology, education, usually with the) The autism spectrum.
- Specifically, a range of colours representing light (electromagnetic radiation) of contiguous frequencies; hence electromagnetic spectrum, visible spectrum, ultraviolet spectrum, etc.
- A range; a continuous, infinite, one-dimensional set, possibly bounded by extremes.
- The image of something seen that persists after the eyes are closed.
- (chemistry) The pattern of absorption or emission of radiation produced by a substance when subjected to energy (radiation, heat, electricity, etc.).
- (commutative algebra, algebraic geometry) An abstract object in mathematics created from a commutative ring R and denoted operatorname Spec(R) or operatorname SpecR and said to be the spectrum of R; useful in the study of such rings for providing a geometric object which encodes many of the properties R, and in modern geometry for generalizing the notion of an algebraic variety to that of an affine scheme. Formally, the set of all prime ideals R equipped with the Zariski topology and augmented with a sheaf of rings called the structure sheaf, generated by the B-sheaf on the distinguished open sets D_f which assigns the localization of R at f to each set D_f, regarded as a ring of functions on D_f. See Spectrum of a ring on Wikipedia.Wikipedia
- an ordered array of the components of an emission or wave
- a broad range of related objects or values or qualities or ideas or activities
noun
- (algebra) An algebraic structure which consists of a set with two binary operations: an additive operation and a multiplicative operation, such that the set is an abelian group under the additive operation, a monoid under the multiplicative operation, and such that the multiplicative operation is distributive with respect to the additive operation.
- (colloquial) A telephone call.
- (typography) A diacritical mark in the shape of a hollow circle placed above or under the letter; a kroužek.
- Any loud sound; the sound of numerous voices; a sound continued, repeated, or reverberated.
- In a jack plug, the connector between the tip and the sleeve.
- (Internet) Ellipsis of webring.
- A circular group of people or objects.
- (astronomy) A formation of various pieces of material orbiting around a planet or young star.
- (vulgar) The rectum, anus, or anal sphincters.
- (historical) An instrument, formerly used for taking the sun's altitude, consisting of a brass ring suspended by a swivel, with a hole at one side through which a solar ray entering indicated the altitude on the graduated inner surface opposite.
- (chemistry) A group of atoms linked by bonds to form a closed chain in a molecule.
- A piece of food in the shape of a ring.
- An exclusive group of people, usually involving some unethical or illegal practices.
- (mathematical analysis, measure theory) A family of sets that is closed under finite unions and set-theoretic differences.
- (geometry) A planar geometrical figure included between two concentric circles.
- (historical) An old English measure of corn equal to the coomb or half a quarter.
- The resonant sound of a bell, or a sound resembling it.
- A chime, or set of bells harmonically tuned.
- (algebra) An algebraic structure as above, but only required to be a semigroup under the multiplicative operation, that is, there need not be a multiplicative identity element.
- (figuratively) A sound or appearance that is characteristic of something.
- A long stripe of contrastive material, colour, etc, that encircles something.
- (computing theory) A hierarchical level of privilege in a computer system, usually at hardware level, used to protect data and functionality (also protection ring).
- (British) A large circular prehistoric stone construction such as Stonehenge.
- A circumscribing object, (roughly) circular and hollow, looking like an annual ring, earring, finger ring etc.
- A place where some sports or exhibitions take place; notably a circular or comparable arena, such as a boxing ring or a circus ring; hence the field of a political contest.
- (jewelry) A round piece of (precious) metal worn around the finger or through the ear, nose, etc.
- (networking) A network topology where connected devices form a circular data channel. All computers on the ring can see every message, and there are no collisions, and a single point of failure will occur if any part of the ring breaks.
- (firearms) Either of the pair of clamps used to hold a telescopic sight to a rifle.
- (figuratively) A pleasant or correct sound.
- (UK) A burner on a kitchen stove.
- The open space in front of a racecourse stand, used for betting purposes.
- (cartomancy) The twenty-fifth Lenormand card.
- (botany) A flexible band partly or wholly encircling the spore cases of ferns.
- (UK) A bird band, a round piece of metal put around a bird's leg used for identification and studies of migration.
- (mathematics, order theory) A family of sets closed under finite union and finite intersection.
- a strip of material attached to the leg of a bird to identify it (as in studies of bird migration)
- a platform usually marked off by ropes in which contestants box or wrestle
- (chemistry) a chain of atoms in a molecule that forms a closed loop
- an association of criminals
- a rigid circular band of metal or wood or other material used for holding or fastening or hanging or pulling
- a characteristic sound
- jewelry consisting of a circlet of precious metal (often set with jewels) worn on the finger
- the sound of a bell ringing
- a toroidal shape
verb
- (transitive) To enclose or surround.
- (intransitive) to resound, reverberate, echo.
- (transitive) To attach a ring to, especially for identification.
- To ring up (enter into a cash register or till)
- (intransitive, figuratively) To produce the sound of a bell or a similar sound.
- (transitive, colloquial, British, Australia, New Zealand) To telephone (someone).
- (Australia, transitive) To ride around (a group of animals, especially cattle) to keep them milling in one place; hence (intransitive), to work as a drover, to muster cattle.
- (transitive, figuratively) To make an incision around; to girdle; to cut away a circular tract of bark from a tree in order to kill it.
- (transitive) To make (a bell, etc.) produce a resonant sound.
- (transitive) To surround or fit with a ring, or as if with a ring.
- (intransitive) Of a bell, etc., to produce a resonant sound.
- (transitive) To steal and change the identity of (cars) in order to resell them.
- (transitive) To produce (a sound) by ringing.
- (falconry) To rise in the air spirally.
- (intransitive) To produce music with bells.
- (intransitive, figuratively) Of something spoken or written, to appear to be, to seem, to sound.
- sound loudly and sonorously
- ring or echo with sound
- attach a ring to the foot of, in order to identify
- get or try to get into communication (with someone) by telephone
- make (bells) ring, often for the purposes of musical edification
- extend on all sides of simultaneously; encircle
Aucun mot correspondant trouvé. Essayez une description plus large.
adj
- (mathematics, multilinear algebra, of a bilinear form) That is alternating and nondegenerate.
- (mathematics, multilinear algebra, of a vector space) That is equipped with an alternating nondegenerate bilinear form.
- (petrology, mineralogy) Of or pertaining to a symplectite; symplectitic.
- (group theory, of a group) Whose characteristic abelian subgroups are cyclic.
- That moves in the same direction as a system of synchronized waves.
- (mathematics) Of or pertaining to (the geometry of) a differentiable manifold equipped with a closed nondegenerate bilinear form.
- Placed in or among, as if woven together.
noun
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
- (linear algebra, of matrix) Having no inverse.
- Being the only one of the kind; unique.
- Being only one of a larger population; single, individual.
- (set theory, of a cardinal number) Not equal to its own cofinality.
- Distinguished by superiority: peerless, unmatched, eminent, exceptional, extraordinary.
- (linear algebra, of transformation) Having the property that the matrix of coefficients of the new variables has a determinant equal to zero.
- (chiefly law) Each; individual.
- (grammar) Referring to only one thing or person.
- Out of the ordinary; curious.
- unusual or striking
- the single one of its kind
- being a single and separate person or thing
- beyond or deviating from the usual or expected
- grammatical number category referring to a single item or unit
- composed of one member, set, or kind
noun
adj
- (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)
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
- (linear algebra) Being the space of all linear functionals of (some other space).
- (grammar) Pertaining to a grammatical number in certain languages that refers to two of something, such as a pair of shoes.
- Pertaining to two, pertaining to a pair of.
- (category theory) Being the dual of some other category; containing the same objects but with source and target reversed for all morphisms.
- (mathematics, physics) Exhibiting duality.
- Characterized by having two (usually equivalent) components.
- having more than one decidedly dissimilar aspects or qualities
- consisting of or involving two parts or components usually in pairs
- a grammatical number category referring to two items or units as opposed to one item (singular) or more than two items (plural)
noun
- (geometry) Of a regular polyhedron with V vertices and F faces, the regular polyhedron having F vertices and V faces.
- (wrestling) A head-to-head match or meet between two teams, such as two high schools or colleges.
- (grammar) The dual number.
- (mathematics) Of a vector in an inner product space, the linear functional corresponding to taking the inner product with that vector. The set of all duals is a vector space called the dual space.
- Of an item that is one of a pair, the other item in the pair.
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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