Faster access than browser!Similarities between Laplace operator and Sobolev space
Laplace operator and Sobolev space have 15 things in common (in Unionpedia): Compact operator, Derivative, Differentiable function, Differential equation, Function (mathematics), Hilbert space, Lp space, Mathematics, Open set, Orthonormal basis, Partial derivative, Poincaré inequality, Smoothness, Spherical coordinate system, Unit sphere.
Compact operator
In functional analysis, a branch of mathematics, a compact operator is a linear operator L from a Banach space X to another Banach space Y, such that the image under L of any bounded subset of X is a relatively compact subset (has compact closure) of Y. Such an operator is necessarily a bounded operator, and so continuous.
Compact operator and Laplace operator · Compact operator and Sobolev space ·
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 Laplace operator · Derivative and Sobolev space ·
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 Laplace operator · Differentiable function and Sobolev space ·
Differential equation
A differential equation is a mathematical equation that relates some function with its derivatives.
Differential equation and Laplace operator · Differential equation and Sobolev space ·
Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
Function (mathematics) and Laplace operator · Function (mathematics) and Sobolev space ·
Hilbert space
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.
Hilbert space and Laplace operator · Hilbert space and Sobolev space ·
Lp space
In mathematics, the Lp spaces are function spaces defined using a natural generalization of the ''p''-norm for finite-dimensional vector spaces.
Laplace operator and Lp space · Lp space and Sobolev space ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Laplace operator and Mathematics · Mathematics and Sobolev space ·
Open set
In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.
Laplace operator and Open set · Open set and Sobolev space ·
Orthonormal basis
In mathematics, particularly linear algebra, an orthonormal basis for an inner product space V with finite dimension is a basis for V whose vectors are orthonormal, that is, they are all unit vectors and orthogonal to each other.
Laplace operator and Orthonormal basis · Orthonormal basis and Sobolev space ·
Partial derivative
In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary).
Laplace operator and Partial derivative · Partial derivative and Sobolev space ·
Poincaré inequality
In mathematics, the Poincaré inequality is a result in the theory of Sobolev spaces, named after the French mathematician Henri Poincaré.
Laplace operator and Poincaré inequality · Poincaré inequality and Sobolev space ·
Smoothness
In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.
Laplace operator and Smoothness · Smoothness and Sobolev space ·
Spherical coordinate system
In mathematics, a spherical coordinate system is a coordinate system for three-dimensional space where the position of a point is specified by three numbers: the radial distance of that point from a fixed origin, its polar angle measured from a fixed zenith direction, and the azimuth angle of its orthogonal projection on a reference plane that passes through the origin and is orthogonal to the zenith, measured from a fixed reference direction on that plane.
Laplace operator and Spherical coordinate system · Sobolev space and Spherical coordinate system ·
Unit sphere
In mathematics, a unit sphere is the set of points of distance 1 from a fixed central point, where a generalized concept of distance may be used; a closed unit ball is the set of points of distance less than or equal to 1 from a fixed central point.
Laplace operator and Unit sphere · Sobolev space and Unit sphere ·
The list above answers the following questions
- What Laplace operator and Sobolev space have in common
- What are the similarities between Laplace operator and Sobolev space
Laplace operator and Sobolev space Comparison
Laplace operator has 116 relations, while Sobolev space has 67. As they have in common 15, the Jaccard index is 8.20% = 15 / (116 + 67).
References
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