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Manifold and Spherical harmonics

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

Difference between Manifold and Spherical harmonics

Manifold vs. Spherical harmonics

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. In mathematics and physical science, spherical harmonics are special functions defined on the surface of a sphere.

Similarities between Manifold and Spherical harmonics

Manifold and Spherical harmonics have 16 things in common (in Unionpedia): Analytic function, Ball (mathematics), Cartesian coordinate system, Covering space, Derivative, Divergence, Group (mathematics), Harmonic function, Hilbert space, Laplace operator, Lie group, Mathematical induction, Mathematics, Partial differential equation, Smoothness, Sphere.

Analytic function

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

Analytic function and Manifold · Analytic function and Spherical harmonics · See more »

Ball (mathematics)

In mathematics, a ball is the space bounded by a sphere.

Ball (mathematics) and Manifold · Ball (mathematics) and Spherical harmonics · See more »

Cartesian coordinate system

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.

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Covering space

In mathematics, more specifically algebraic topology, a covering map (also covering projection) is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p (as shown in the image); the precise definition is given below.

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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).

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Divergence

In vector calculus, divergence is a vector operator that produces a scalar field, giving the quantity of a vector field's source at each point.

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Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

Group (mathematics) and Manifold · Group (mathematics) and Spherical harmonics · 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.

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Hilbert space

The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.

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Laplace operator

In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a function on Euclidean space.

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Lie group

In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.

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Mathematical induction

Mathematical induction is a mathematical proof technique.

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Mathematics

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

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Partial differential equation

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

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Smoothness

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

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Sphere

A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").

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The list above answers the following questions

Manifold and Spherical harmonics Comparison

Manifold has 286 relations, while Spherical harmonics has 146. As they have in common 16, the Jaccard index is 3.70% = 16 / (286 + 146).

References

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

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