English-Wörter für 'Relating to a multivector'
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noun
noun
- (multivariable calculus) The Jacobian matrix of a function of several variables.
- (calculus, of a univariate differentiable function f(x)) A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f.
- Any of several generalizations of this concept to functions of several variables or to higher orders: the partial differential, total differential, Gateaux differential, etc.
- One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other.
- The differential gear in an automobile, etc.
- A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all.
- (differential geometry, of a smooth map ϕ between smooth manifolds) The pushforward or total derivative of ϕ: a linear map from the tangent space at a point x in ϕ's domain to the tangent space at ϕ(x) which is, in a technical sense, the best linear approximation of ϕ at x; denoted operatorname d!ϕₓ.
- (mathematics) Any of several generalizations of the concept(s) above: e.g. the Kähler differential in the setting of schemes, the quadratic differential in the theory of Riemann surfaces, etc.
- (calculus) A quantity representing an infinitesimal change in a variable, now only used as a heuristic aid except in nonstandard analysis but considered rigorous until the 20th century; a fluxion in Newtonian calculus, now usually written in Leibniz's notation as operatorname d!x.
- A qualitative or quantitative difference between similar or comparable things.
- a quality that differentiates between similar things
- a bevel gear that permits rotation of two shafts at different speeds; used on the rear axle of automobiles to allow wheels to rotate at different speeds on curves
- the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
adj
adj
- (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, multilinear algebra, of a bilinear form) That is alternating and nondegenerate.
- (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
noun
- a generalization of the concept of a vector
- any of several muscles that cause an attached structure to become tense or firm
- (engineering, computing) A multidimensional array with (at least) two dimensions.
- (anatomy) A muscle that tightens or stretches a part, or renders it tense.
- (mathematics, linear algebra, physics) A mathematical object that describes linear relations on scalars, vectors, matrices and other algebraic objects, and is represented as a multidimensional array.
verb
noun
adj
noun
- a vector that is the product of two other vectors
- (linear algebra) a vector with the size given by the product of two vectors computed as the product of the magnitudes of the vectors and the sine of the angle between their directions, and directed perpendicular to the given two vectors, with positive orientation.
adj
noun
- (mathematics) A type of four-dimensional hypercomplex number consisting of a real part and three imaginary parts (real multiples of distinct, independent square roots of −1 denoted by i, j and k); commonly used in vector mathematics and as an alternative to matrix algebra in calculating the rotation of three-dimensional objects.
- A group or set of four people or things.
- A word of four syllables.
- the cardinal number that is the sum of three and one
adj
adj
noun
noun
- (multivariable calculus) The Jacobian matrix of a function of several variables.
- (calculus, of a univariate differentiable function f(x)) A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f.
- Any of several generalizations of this concept to functions of several variables or to higher orders: the partial differential, total differential, Gateaux differential, etc.
- One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other.
- The differential gear in an automobile, etc.
- A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all.
- (differential geometry, of a smooth map ϕ between smooth manifolds) The pushforward or total derivative of ϕ: a linear map from the tangent space at a point x in ϕ's domain to the tangent space at ϕ(x) which is, in a technical sense, the best linear approximation of ϕ at x; denoted operatorname d!ϕₓ.
- (mathematics) Any of several generalizations of the concept(s) above: e.g. the Kähler differential in the setting of schemes, the quadratic differential in the theory of Riemann surfaces, etc.
- (calculus) A quantity representing an infinitesimal change in a variable, now only used as a heuristic aid except in nonstandard analysis but considered rigorous until the 20th century; a fluxion in Newtonian calculus, now usually written in Leibniz's notation as operatorname d!x.
- A qualitative or quantitative difference between similar or comparable things.
- a quality that differentiates between similar things
- a bevel gear that permits rotation of two shafts at different speeds; used on the rear axle of automobiles to allow wheels to rotate at different speeds on curves
- the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
adj
noun
- a generalization of the concept of a vector
- any of several muscles that cause an attached structure to become tense or firm
- (engineering, computing) A multidimensional array with (at least) two dimensions.
- (anatomy) A muscle that tightens or stretches a part, or renders it tense.
- (mathematics, linear algebra, physics) A mathematical object that describes linear relations on scalars, vectors, matrices and other algebraic objects, and is represented as a multidimensional array.
verb
noun
adj
noun
- a vector that is the product of two other vectors
- (linear algebra) a vector with the size given by the product of two vectors computed as the product of the magnitudes of the vectors and the sine of the angle between their directions, and directed perpendicular to the given two vectors, with positive orientation.
noun
- (mathematics) A type of four-dimensional hypercomplex number consisting of a real part and three imaginary parts (real multiples of distinct, independent square roots of −1 denoted by i, j and k); commonly used in vector mathematics and as an alternative to matrix algebra in calculating the rotation of three-dimensional objects.
- A group or set of four people or things.
- A word of four syllables.
- the cardinal number that is the sum of three and one
adj
- (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, multilinear algebra, of a bilinear form) That is alternating and nondegenerate.
- (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.