n
(linear algebra) An eigenvalue.
n
(topology) Any of various procedures of enlarging a topological space to make it compact.
n
(algebraic topology) The kernel of the kα΅Κ° boundary homomorphism (of a given chain complex).
adj
(mathematics, of an eigenvalue) Having multiple different (linearly independent) eigenvectors.
n
Alternative form of eigendecomposition [(linear algebra) The factorization of a matrix into a canonical form, whereby the matrix is represented in terms of its eigenvalues and eigenvectors.]
n
An operator that, when applied to the boundary of a brane, produces that same brane tensored with a fixed vector space.
v
(mathematics) To form the eigendecomposition of a matrix
n
(linear algebra) The factorization of a matrix into a canonical form, whereby the matrix is represented in terms of its eigenvalues and eigenvectors.
n
(mathematics) A function π such that, for a given linear operator D, Dπ=ππ for some scalar π (called an eigenvalue).
n
(mathematics) The graph in which data points function as nodes and connectivity between nodes is governed by the proximity or correlation between data points.
adj
(mathematics) simplified by transforming with a matrix of eigenvectors
n
(mathematics) A subdivision of an eigenspace.
n
A pairing of a skill for solving a set of tasks with a generative model that operates on the skill's input space.
n
(mathematics, number theory) A higher-dimensional generalization of an eigencurve.
n
(linear algebra) given a linear transformation A, a vector x such that Ax=πx for some scalar π
n
(mathematics) Any of a set of special polynomials for a square matrix A, namely projection matrices Aα΅’ associated with the eigenvalues and eigenvectors of A.
n
(mathematics) An oriented link invariant that arises as the homology of a chain complex. It may be regarded as a categorification of the Jones polynomial.
n
(computing theory) An iterative algorithm that is an adaptation of power methods to find the most useful eigenvalues and eigenvectors of an nth-order linear system with a limited number of operations, m, where m is much smaller than n.
n
(linear algebra) An eigenvalue corresponding to the left transform of a given linear operator; i.e. π! such that urm A=uπ!.
n
(linear algebra) An eigenvector corresponding to the left transform of a given linear operator; i.e. u such that urm A=uπ!.
n
(linear algebra) A map between vector spaces which respects addition and multiplication.
n
(commutative algebra) A subset of a ring which contains the ringβs unity and which is multiplicatively closed, i.e., it is closed with respect to the ringβs multiplicative operation.
adj
(mathematics, of a topological space) In which every open cover admits an open locally finite refinement.
adj
(linear algebra) Said of a real, square matrix: that the product of it with a column vector on its right side and the transpose of that column vector on its left side is greater or equal to zero, only equaling zero if the vector itself is zero.
adj
(mathematics) of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone.
n
(algebra) An algebra such that every subalgebra generated by one element is associative.
n
(mathematics) The specification of a group by generators and relators.
n
(linear algebra) An idempotent linear transformation which maps vectors from a vector space onto a subspace.
n
(mathematics) A formula used in the min-max theorem to find exact eigenvalues, and in eigenvalue algorithms to obtain an eigenvalue approximation from an eigenvector approximation; it has applications in quantum mechanics.
n
(linear algebra) An eigenvector corresponding to the right transform of a given linear operator; i.e. u such that rm Au=πu!.
n
(mathematics) A graph of the eigenvalues of factors
n
Alternative form of scree plot [(mathematics) A graph of the eigenvalues of factors]
n
(group theory) A group which has no normal subgroups apart from the trivial group and itself.
n
(mathematics) Those theories extending the eigenvalue and eigenvector theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces.
n
(mathematics, linear algebra) The set of eigenvalues of a matrix.
n
(mathematics) An eigenvector that has a vanishingly small eigenvalue
n
(logic, algebra) A Boolean-valued polynomial formed as a XOR-sum (or "ring sum") of conjunctions.
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