Dirichlet eigenvalue and Hilbert space

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

Difference between Dirichlet eigenvalue and Hilbert space

Dirichlet eigenvalue vs. Hilbert space

In mathematics, the Dirichlet eigenvalues are the fundamental modes of vibration of an idealized drum with a given shape. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.

Calculus of variations

Calculus of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real numbers.

Calculus of variations and Dirichlet eigenvalue · Calculus of variations and Hilbert space · See more »

Eigenvalues and eigenvectors

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.

Dirichlet eigenvalue and Eigenvalues and eigenvectors · Eigenvalues and eigenvectors and Hilbert space · See more »

Hearing the shape of a drum

To hear the shape of a drum is to infer information about the shape of the drumhead from the sound it makes, i.e., from the list of overtones, via the use of mathematical theory.

Dirichlet eigenvalue and Hearing the shape of a drum · Hearing the shape of a drum and Hilbert space · See more »

Infimum and supremum

In mathematics, the infimum (abbreviated inf; plural infima) of a subset S of a partially ordered set T is the greatest element in T that is less than or equal to all elements of S, if such an element exists.

Dirichlet eigenvalue and Infimum and supremum · Hilbert space and Infimum and supremum · See more »

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.

Dirichlet eigenvalue and Laplace operator · Hilbert space and Laplace operator · See more »

Limit point

In mathematics, a limit point (or cluster point or accumulation point) of a set S in a topological space X is a point x that can be "approximated" by points of S in the sense that every neighbourhood of x with respect to the topology on X also contains a point of S other than x itself.

Dirichlet eigenvalue and Limit point · Hilbert space and Limit point · See more »

Mathematics

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

Dirichlet eigenvalue and Mathematics · Hilbert space and Mathematics · See more »

Sobolev space

In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of ''Lp''-norms of the function itself and its derivatives up to a given order.

Dirichlet eigenvalue and Sobolev space · Hilbert space and Sobolev space · See more »

Square-integrable function

In mathematics, a square-integrable function, also called a quadratically integrable function, is a real- or complex-valued measurable function for which the integral of the square of the absolute value is finite.

Dirichlet eigenvalue and Square-integrable function · Hilbert space and Square-integrable function · See more »