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Holomorphic function and Manifold

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Holomorphic function and Manifold

Holomorphic function vs. Manifold

In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain. In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

Similarities between Holomorphic function and Manifold

Holomorphic function and Manifold have 17 things in common (in Unionpedia): Analytic function, Banach space, Boundary (topology), Compact space, Complex number, Curve, Derivative, Differentiable function, Disk (mathematics), Functional analysis, Harmonic function, Mathematics, Morphism of algebraic varieties, Neighbourhood (mathematics), Partial differential equation, Simply connected space, Smoothness.

Analytic function

In mathematics, an analytic function is a function that is locally given by a convergent power series.

Analytic function and Holomorphic function · Analytic function and Manifold · See more »

Banach space

In mathematics, more specifically in functional analysis, a Banach space (pronounced) is a complete normed vector space.

Banach space and Holomorphic function · Banach space and Manifold · See more »

Boundary (topology)

In topology and mathematics in general, the boundary of a subset S of a topological space X is the set of points which can be approached both from S and from the outside of S. More precisely, it is the set of points in the closure of S not belonging to the interior of S. An element of the boundary of S is called a boundary point of S. The term boundary operation refers to finding or taking the boundary of a set.

Boundary (topology) and Holomorphic function · Boundary (topology) and Manifold · See more »

Compact space

In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).

Compact space and Holomorphic function · Compact space and Manifold · See more »

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

Complex number and Holomorphic function · Complex number and Manifold · See more »

Curve

In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but that need not be straight.

Curve and Holomorphic function · Curve and Manifold · See more »

Derivative

The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).

Derivative and Holomorphic function · Derivative and Manifold · See more »

Differentiable function

In calculus (a branch of mathematics), a differentiable function of one real variable is a function whose derivative exists at each point in its domain.

Differentiable function and Holomorphic function · Differentiable function and Manifold · See more »

Disk (mathematics)

In geometry, a disk (also spelled disc).

Disk (mathematics) and Holomorphic function · Disk (mathematics) and Manifold · See more »

Functional analysis

Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense.

Functional analysis and Holomorphic function · Functional analysis and Manifold · See more »

Harmonic function

In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f: U → R where U is an open subset of Rn that satisfies Laplace's equation, i.e. everywhere on U. This is usually written as or.

Harmonic function and Holomorphic function · Harmonic function and Manifold · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Holomorphic function and Mathematics · Manifold and Mathematics · See more »

Morphism of algebraic varieties

In algebraic geometry, a morphism between algebraic varieties is a function between the varieties that is given locally by polynomials.

Holomorphic function and Morphism of algebraic varieties · Manifold and Morphism of algebraic varieties · See more »

Neighbourhood (mathematics)

In topology and related areas of mathematics, a neighbourhood (or neighborhood) is one of the basic concepts in a topological space.

Holomorphic function and Neighbourhood (mathematics) · Manifold and Neighbourhood (mathematics) · See more »

Partial differential equation

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.

Holomorphic function and Partial differential equation · Manifold and Partial differential equation · See more »

Simply connected space

In topology, a topological space is called simply connected (or 1-connected, or 1-simply connected) if it is path-connected and every path between two points can be continuously transformed (intuitively for embedded spaces, staying within the space) into any other such path while preserving the two endpoints in question.

Holomorphic function and Simply connected space · Manifold and Simply connected space · See more »

Smoothness

In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.

Holomorphic function and Smoothness · Manifold and Smoothness · See more »

The list above answers the following questions

Holomorphic function and Manifold Comparison

Holomorphic function has 87 relations, while Manifold has 286. As they have in common 17, the Jaccard index is 4.56% = 17 / (87 + 286).

References

This article shows the relationship between Holomorphic function and Manifold. To access each article from which the information was extracted, please visit:

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