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Complex differential form

💡 Words with a Similar Meaning to "Complex differential form"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
complex quadratic polynomialA complex quadratic polynomial is a quadratic polynomial whose coefficients and variable are complex numbers.
complex geometrynoun(countable) Used other than figuratively or idiomatically: see complex, geometry.
stein manifoldIn mathematics, in the theory of several complex variables and complex manifolds, a Stein manifold is a complex submanifold of the vector space of n complex dimensions.
symplectic manifoldIn differential geometry, a subject of mathematics, a symplectic manifold is a smooth manifold, , equipped with a closed nondegenerate differential 2-form , called the symplectic form.
holomorphic functionIn mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood of each point in a domain in complex coordinate space .
complex projective spaceIn mathematics, complex projective space is the projective space with respect to the field of complex numbers.
complex lie groupIn geometry, a complex Lie group is a Lie group over the complex numbers; i.e., it is a complex-analytic manifold that is also a group in such a way is holomorphic.
differential equationnoun(calculus) An equation involving the derivatives of a function.
complex measurenoun(mathematical analysis) A function whose domain is a σ-algebra, whose codomain is the set of complex numbers, and which is countably additive.
differential formnoun(differential geometry, tensor calculus, sometimes as "differential p-form") A completely antisymmetric tensor (of order p) that is defined on a Riemannian manifold; an expression, derived by applying a formalism to said tensor, that represents an integrand over the manifold.
partial differential equationnoun(calculus) A differential equation that involves the partial derivatives of a function of several variables.
ordinary differential equationnoun(calculus) An equation involving the derivatives of a function of only one independent variable.
holomorphic vector bundleIn mathematics, a holomorphic vector bundle is a complex vector bundle over a complex manifold such that the total space is a complex manifold and the projection map is holomorphic.
integro-differential equationIn mathematics, an integro-differential equation is an equation that involves both integrals and derivatives of a function.
differential structurenoun(topology) A structure defined for a (topological) manifold so that it supports differentiation of functions defined on it.
complex logarithmIn mathematics, a complex logarithm is a generalization of the natural logarithm to nonzero complex numbers.
differentiable manifoldnoun(differential geometry) A manifold that is locally similar enough to a Euclidean space (ℝⁿ) to allow one to do calculus;
riemann surfacenoun(mathematics) A one-dimensional complex manifold; a generalization of the complex plane.
exterior derivativenoun(calculus) A differential operator which acts on a differential k-form to yield a differential (k+1)-form, unless the k-form is a pseudoscalar, in which case it yields 0.
complex analysisnoun(mathematics) The branch of mathematics that studies holomorphic functions.

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