n
(mathematics) A selection of a path for which two points moving simultaneously along lines that begin and end at a distance less than or equal to 1 apart always remain within a specified bounded distance of each other, independent of the lengths of the paths.
adj
(mathematics) Describing a graph, the removal of two of whose vertices leaves a subgraph the edges of which can be coloured with only three colours
n
(mathematics) bipartite graph
n
(mathematics) A second-order equation
n
(mathematics) A biquadratic equation.
n
(mathematics) A generalisation of a quandle that is a form of a birack
n
(mathematics) The property of two closed manifolds whose disjoint union is the boundary of a compact manifold
n
(differential geometry) For a surface with parametrization ⃑x(u,v), and letting i,j,k∈u,v, the Christoffel symbol 𝛤ᵢⱼᵏ is the component of the second derivative ⃑x_ij in the direction of the first derivative ⃑x_k, and it encodes information about the surface's curvature. Thus,
adj
(of a group action, or its group) Having a compact quotient space.
n
(mathematics) The amplitude of a cosine function
n
(geometry, uncountable) The field of mathematics which examines extremal problems of a combinatorial nature expressed geometrically.
adj
(mathematics, not comparable, of a set in an Euclidean space) Closed and bounded.
adj
(mathematical analysis) Of a set, that it is metrizable and, under such given metric, complete.
adj
(mathematics, mathematical analysis, of a function) Whose range is a subset of the complex numbers.
adj
(mathematics, more generally, of a function between two topological spaces) Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function).
adj
(mathematics) (of a topological set) Able to be reduced to one of its points by a continuous deformation
n
(computer science) A mathematical function where the line segment between any two points on the graph of the function lies above the graph in a vector space of at least two dimensions.
adj
(mathematics) Having a point in common
n
(mathematics) A kind of modular form with a zero constant coefficient in the Fourier series expansion.
n
(differential geometry) The set of smooth parametrizations of a given set X; the set of smooth maps S→X, where S is any open set ⊆ℝⁿ; the theory of such constructs.
n
(geometry, mathematical analysis) The study of geometry, especially geometric structures on differentiable manifolds, using techniques from calculus, linear algebra and multilinear algebra.
n
(mathematics) A tensor of order two and rank one.
adj
(mathematics) superparticular
adj
(geometry) Corresponding to something of lower dimension under a birational correspondence.
n
(mathematics) A mathematical set that has a non-integer and constant Hausdorff dimension; a geometric figure that is self-similar at all scales.
n
(graph theory) The property of being Hamiltonian.
n
(mathematics) Either of two functions that are solutions to Bessel's equation.
n
(topology) The conjecture, now proven false, that any two triangulations of a triangulable space have a common refinement, a single triangulation that is a subdivision of both of them.
n
(mathematics) A transformation of the complex plane associated with fluid flow
adj
(mathematics) Being the analog withing a module of a semidirect product in the corresponding group.
n
(mathematics) The square matrix of second-order partial derivatives of a scalar-valued function. It describes the local curvature of a function of many variables.
n
(mathematics) A mathematical entity made up of one or more independent quantities, or merates, as distinguished from a tensor.
adj
Of or pertaining to hyperarithmetic.
n
(mathematics) The state of being a hypercomplex number.
n
(mathematics) A point in the domain of a mathematical function at which the second derivative of the function is either zero or undefined.
adj
(mathematics, curve fitting) Increasing exponentially or as a higher polynomial power.
adj
(mathematics) hyper-order meromorphic
adj
(mathematics) A matrix M is hypernormal if, given any n by n diagonal matrix G with entries of 1 or -1, MᵀGM = G.
adj
(mathematics) Of an integral equation: containing Hadamard finite part integrals with f(t) unknown.
n
(mathematics) A vector or tensor whose components are themselves tensors.
n
The inverse of a hyperbolic function
adj
(calculus, of a scalar field) having a gradient of zero
n
(mathematics) A linear transformation that is its own inverse, i.e., that has period two.
n
(mathematics) A vector field on a Riemannian manifold (or pseudo-Riemannian manifold) that preserves the metric.
n
(mathematics) A polynomial equation of the first degree (such as x = 2y - 7)
n
(mathematics, chiefly historical) Synonym of pi
n
(mathematics, computing) A class of techniques for solving algebraic or differential equations that employs a hierarchy of discretizations
adj
(mathematics) Pertaining to a sum of terms whose monomials all have the same multidegree
adj
(mathematics) multiply quadratic
adj
(mathematics) Being a radial basis function of the form 𝜙(r)=√.
n
(mathematics) A set containing multiple rings.
adj
(mathematics) Designating a standard trigonometric function of an angle, as opposed to the logarithmic function.
n
(numerical analysis) Any of a group of formulas for numerical integration (quadrature) based on evaluating the integrand at equally spaced points.
n
(mathematics) A quotient space of a nilpotent Lie group modulo a closed subgroup, or (equivalently) a homogeneous space with a nilpotent Lie group acting transitively on it.
adj
2013-11-11, C. Herbert Clemens, A Scrapbook of Complex Curve Theory (University Series in Mathematics), Springer Science & Business Media, →ISBN, OCLC 1001480441, page 61:
v
(mathematical analysis) To endow (a vector space, etc.) with a norm.
n
(mathematics) A surface whose normal at all points is a null vector
n
(mathematics) The generation of an orbifold
n
(mathematics) Either of a pair of functions whose inner product is zero
n
(linear algebra) Relative to a set S in Rⁿ, the set of points y such that the inner product of x and y is not positive for any point x in S.
n
(mathematics) A mathematical function defined in terms of the sums of powers. (See reference for details.)
n
(mathematics, rare) polynomial
n
(computing) polynomial time
n
of a point, a vector going from the origin to that point; equivalently, the transpose of the point
n
(mathematics) A projective member of a category.
adj
(mathematics) Of a function: differentiable and increasing in any direction where it has a positive directional derivative.
n
(mathematics, physics) A quantity that transforms like a vector under a proper rotation but gains an additional change of sign under an improper rotation
n
(mathematics) The differential of a smooth map between smooth manifolds.
n
(mathematics) a polynomial equation of the second degree.
n
(statistics, multivariate statistics) A scalar quantity of the form εᵀ𝛬ε, where ε is a vector of n random variables, and 𝛬 is an n-dimensional symmetric matrix.
n
(mathematics, numerical analysis) The calculation of a definite integral by numerical means.
n
(mathematics) A kind of partially ordered algebraic structure that generalizes locales (point free topologies) as well as various multiplicative lattices of ideals from ring theory and functional analysis.
n
(mathematics) a covariant of degree 4
adj
(graph theory, of a graph) Such that its vertex set can be partitioned into finitely many sets, so that there exists an automorphism mapping a vertex to another vertex if and only if the two vertices belong to the same set in that partition.
adj
(mathematics) said of a function, if the inverse image of any set of the form (-∞,a) for that function is a convex set.
n
(mathematics) A particular algebraic structure in projective geometry
adj
(mathematics, of a graph) That becomes disconnected when a suitable subgraph is removed
n
(mathematics, physics) A function that assigns a scalar value to every point in space.
n
(mathematics) Ellipsis of sinc function. ( f = sin(x)/x)
n
(mathematics) Synonym of least common multiple
n
(mathematics) A subdivision of a cone
adj
(mathematics) Less than exponential
n
(mathematics) A constituent part of a tensor
n
(mathematics) A sub-semilattice of an uppersemilattice.
adj
(mathematics) Of or pertaining to a superalgebra
n
(mathematics) The attractor of an iterated function system
adj
(mathematics) Having a greater constant value than a related level set
adj
(especially mathematics) Describing a function (or rate of growth, etc) that eventually grows faster than any linear one.
n
(mathematics) The larger matrix from which a submatrix is derived.
n
(mathematics) A superreal number.
n
(mathematics) The formation of a supertransform
adj
(mathematics) greater than linear
adj
(mathematics) Of or relating to any number of the form a+bi, where a and b are surreal numbers.
n
(mathematics) The most general bilinear operation in various contexts (as with vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, modules, and so on), denoted by ⊗.
n
(mathematics) A set containing one member from each of a collection of disjoint sets.
n
(mathematical analysis) The inequality that states that the magnitude of the sum of two vectors is less than or equal to the sum of the magnitudes of the vectors, or any equivalent inequality in other spaces.
n
(mathematics) A measure of length given by "the square root of the squares." Denoted by ||·||₂, the two-norm of a vector ⃑v= is ||⃑v||₂=√. The two norm of an m⨯m matrix A is defined by max _(⃑v≠⃑0)|/} where ⃑v is an m-dimensional vector that is not the zero vector.
adj
(mathematics, physics) Whose properties are influenced by its immediate neighbours only
adj
(mathematics) Describing a metric whose triangle inequality has the stronger form d(x,z)< max d(x,y),d(y,z).
n
(differential geometry) a function which associates, to each point on a surface, a vector in the tangent plane of that point
adj
(mathematics) Having some characteristics of a vector.
n
(mathematics, algebra) a quadratic equation in the form y=a(x-h)²+k
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