(chess, of notation) Describing squares by file (referred to in intrinsic order rather than by the piece starting on that file) and rank, both with reference to a fixed point rather than a player-dependent perspective.

(obsolete, mathematics) topology

(mathematics) An inverse hyperbolic function

Alternative form of arc-connected [(of a topological space) Such that every pair of points in the space comprises the boundary of some arc embedded in the space.]

Abbreviation of basis spline. [(mathematics) A spline function that has minimal support with respect to a given degree, smoothness, and domain partition. Any spline function of given degree can be expressed as a linear combination of basis splines of that degree.]

(mathematics) The set of points in a topological space lying within some open set containing a given point.

(algebraic geometry) A T-stable cellular decomposition of a smooth T-variety.

(algebra) Any of the numbers w+xi+yj+zk! where w, x, y, and z are complex numbers and the elements of {1, i, j, k} multiply as in the quaternion group.

(mathematics) Equipped with two distinct arbitrary topologies.

(mathematics) Describing a form of locally convex space which, in some sense, possesses the minimum amount of structure needed to address questions of boundedness of sets and functions.

(geometry) The set of points in an (m + n)-dimensional Cartesian space corresponding to all possible pairs of points from the two sets from spaces of dimension m and n. Notation: X⨯Y=(x_1,...x_m,y_1,...y_n)|(x_1,...x_m)∈X∧(y_1,...y_n)∈Y.

(mathematics) A 2-dimensional CW complex encoding information about a group and its presentation.

(group theory, of a group) Whose center is trivial (contains only the identity element).

(mathematics) Of or pertaining to a coalgebra

(of two manifolds of the same dimension) Such that their disjoint union bounds a manifold.

(algebraic geometry) A connected and reduced curve with irreducible components consisting of a smooth subcurve (called the handle) and one or more additional irreducible components (called teeth) that each intersect the handle in a single point that is unequal to the unique point of intersection for any of the other teeth.

(geometry, theory of matroids, countable) A simple matroid.

(complex analysis, analytic geometry) A 1-dimensional affine subspace of a vector space over the complex numbers.

(formally) an ordered pair comprising a space and the group of conformal transformations that act on the space.

(mathematics) A certain generalization of a manifold, capable of containing conical singularities.

(differential geometry, countable) Given a smooth manifold of odd dimensionality, a distribution (subset) of the tangent bundle that satisfies the condition of complete nonintegrability, or equivalently may be locally defined as the kernel of a maximally nondegenerate differential 1-form;

(mathematics, contact geometry) A smooth manifold of odd dimensionality in contact geometry.

(topology) A crisp, clearly-defined object that exists within a more vaguely defined object.

A Lorentzian manifold in Minkowski space which is the analogue of the sphere in ordinary Euclidean space.

To have a deformation retract as a subspace.

(mathematics, of a closed convex subset C of a Banach space Y) Admitting slices of arbitrarily small diameter, where a slice of C is a subset of the form S(𝜆,𝛼) = y∈C;|;𝜆(y)≥||𝜆||_(∞,C)-𝛼 for some 𝜆∈Y^* and some 𝛼>0.

(differential geometry) A manifold that is locally similar enough to a Euclidean space (ℝⁿ) to allow one to do calculus;

(mathematical analysis) In the space ℝⁿ, the metric d(⃑x,⃑y)=√ where ⃑x=(x_1,...,x_n) and ⃑y=(y_1,...,y_n).

(mathematics) A norm of an ordinary Euclidean space, for which the Pythagorean theorem holds, defined by |x|=√

(mechanics, analytical mechanics) A differential equation which describes a function mathbf q(t) which describes a stationary point of a functional, S( mathbf q)=∫L(t, mathbf q(t), mathbf ̇q(t)),dt, which represents the action of mathbf q(t), with L representing the Lagrangian. The said equation (found through the calculus of variations) is ∂L/∂ mathbf q=d/dt∂L/∂ mathbf ̇q and its solution for mathbf q(t) represents the trajectory of a particle or object, and such trajectory should satisfy the principle of least action.

(mathematics) A certain kind of matroid, describing sets of vertices that can be reached by vertex-disjoint paths in a directed graph.

(mathematics) A vector space upon which matroids may be paved

(mathematics) A groupoid whose binary operation satisfies certain axioms, used with gyrovectors.

(algebraic geometry) The smooth, irreducible subcurve of a comb which connects to each of the other components in exactly one point.

(geometry) A point on a modular curve that is the image of a quadratic imaginary point of the upper half-plane.

(combinatorics) A value associated with a metric space, being one less than the Helly number of the family of metric balls in that space.

(mathematics) An abstraction of distance; a function, d, with two arguments that satisfies d(x,x) = 0 and d(x, y) + d(y,z) ≥ d(x,z) (the triangle inequality) for all x,y,z in the domain.

A mathematical method of converting a particular two-dimensional scalar magnetic field map to a particular two-dimensional vector map.

Relating to a hyperalgebra.

(mathematics) Pertaining to a boolean function on the field F_(2ⁿ) such that f(xᵏ) is bent for every k co-prime with 2ⁿ - 1.

(geometry, topology, of an automorphism) Whose domain has two (possibly ideal) fixed points joined by a line mapped to itself by translation.

(mathematics) A set functions that are analogues of the trigonometric functions for hyperbolic spaces. They can be derived from some arithmetic operations on the exponential function with base e and the inverse function, and was named after the corresponding similar trigonometric function.

(mathematics, abstract algebra) A nonassociative algebra over the real numbers with elements of the form: q = a + bi + cj + dk, a,b,c,d {R}

(mathematics) a hyperbolic function that is written in symbol tanh and defined as the following:

(mathematics) A hypercomplex number.

(mathematics, physics) A finite cyclic quotient of a conifold.

(mathematics) Of a metric space: injective.

(mathematics) Pertaining to a class of operators closely related to the theory of negative definite functions on abelian semigroups.

(mathematics) A related group of hypertrees

(geometry, of a manifold) Being a quaternionic analogue of a Kähler manifold.

(mathematics) Synonym of hyperfibonacci

(mathematics) A module over a hyperring

(mathematics) Any path that is longer than the shortest path possible

(mathematics) Having a bounded local distance of operators in a nested algebra or reflexive subspace

(mathematics) A generalisation of a scalar in a higher dimension.

(mathematics) Exhibiting hyperstability

A higher-dimensional superstring

(mathematics) A set of sets or a system of systems.

(mathematics) Relating to a hypertorus

(mathematics) Hypoelliptic and converging to regularity.

(calculus) Related to or involving hypoelliptic operators.

(mathematics) A discrete-time dynamical system that maps one point to another on the plane, known for exhibiting chaotic behavior.

(mathematics) Either of two spaces between which an isometry exists

(mathematical analysis) A subset of k-dimensional Euclidean space which is obtained by taking the Cartesian product of k intervals (closed, open, or half-closed) which are subsets of the coordinate axes of the ambient Euclidean space.

(mathematics) A manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure.

(mathematics) linear-quadratic-Gaussian

(linear algebra) The entries of a square matrix from the top left to the bottom right.

(mathematics) Describing a specific form of symplectic group.

(mathematics, mathematical analysis, topology) Any set on which a metric is defined, giving a distance between any two elements.

(mathematics) The process or result of metrizing a topological space.

(mathematics) A special function with which elliptic functions and modular forms can be described.

(mathematics) Of a bounded linear operator, having a norm equal to its spectral radius.

(mathematics, topology) A decomposition of a 3-manifold into a link and a fibration over the circle by surfaces bounded by that link.

(mathematics) a form of tacinvariant of hypersurfaces that have a point in common

(mathematics) Describing a frame (in linear algebra) having a set of functions more than a basis

(topology) The orientable surface of genus zero having three boundary components.

(mathematics, of a manifold) Whose tangent bundle is a trivial bundle.

(mathematics) The golden ratio.

Alternative spelling of piecewise linear [(mathematics) Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces]

A mnemonic to aid in memorizing the digits of pi.

(mathematics) A method of realizing the Grassmannian Gr_k(V) of all k-dimensional subspaces of an n-dimensional vector space V as a subvariety of a projective space.

(mathematics) A matroid of a real matrix with nonnegative maximal minors

(mathematics) An incomplete metric space with an inner product.

(mathematics) An infinite finitary matroid.

(mathematics) Relating to a pretopology

(algebraic geometry) A Zariski closed subvariety of a projective space; the zero-locus of a set of homogeneous polynomials that generates a prime ideal.

(differential geometry) A generalization of a Riemannian manifold

(mathematics) Describing a generalization of a metric space in which the distance between two distinct points can be zero.

(mathematics) A class of algebras of a given signature, closed under the taking of homomorphic images, subalgebras and finitary direct products.

(differential geometry) The map between cotangent bundles of manifolds corresponding to a smooth map between smooth manifolds, which at each point is the dual map to the corresponding pushforward.

(topology) Of a Banach space X: such that the quotient X ′′ / J(X) has finite dimension d. (It is then said to be "quasireflexive of order d".)

(mathematics) A specific form of groupoid

(topology) A solid torus whose boundary is a leaf of a foliation of the ambient 3-dimensional manifold.

(mathematics) A subset of Euclidean space in which tensors are used to describe distance, angle, and curvature

(mathematics) A one-dimensional complex manifold; a generalization of the complex plane.

(differential geometry, Riemannian geometry) A real, smooth differentiable manifold whose each point has a tangent space equipped with a positive definite inner product;

(complex analysis) A conformal map of the upper half-plane or the complex unit disk onto the interior of a simple polygon; used in potential theory and some of its applications, including minimal surfaces, hyperbolic art, and fluid dynamics.

(topology) The state of being simply connected.

A manifold which is infinitely differentiable (C ᪲).

(mathematics, of a group) Whose Cayley graph is an initially subamenable graph.

(topology) The topological space that is a Cartesian product of the two-dimensional disk and the circle.

(mathematics) A kind of submanifold involved in the soul theorem of Riemannian geometry.

(algebraic geometry) A subcurve of a comb that includes the handle.

(topology) A cover which is a subset of another cover.

(mathematics)

(mathematics) A nonempty subset of a lattice.

(mathematics)

(mathematics) An additional coordinate in a superconformal algebra

(mathematics) That has a zero Jacquet functor for every proper parabolic subgroup

(mathematics) parameterization using higher-level parameters

(mathematics)

(mathematics)

(mathematics) A hypertensor.

(mathematics) A specific form of a trace in a superalgebra

(mathematics)

(mathematics) A hypercomplex number of the form t=w+xi+yj+zk, quad w,x,y,z∈ℝ where ij=ji=k, quad i²=-1, quad j²=+1.

(mathematics) Of or relating to topology.

(topology) A topological space which is a product of two circles.

(mathematical analysis) In Euclidean spaces: a set of points obtained by adding a given fixed vector to each point of a given set.

(mathematics) Between points in a space.

(algebra, obsolete) A numerical coefficient in a case of the binomial theorem.

(mathematics) A certain generalization of a differentiable manifold

(geometry) A statement in Euclidean geometry that deals with the construction of a particular parallelogram (the Varignon parallelogram) from an arbitrary quadrilateral.

(geometric algebra) A multivector representing a proper or improper rotation.

(geometry) A mathematical group that classifies two-dimensional repeating patterns based on their symmetries.

(chemistry, mathematics) Having a structure within which both polygonality and connectivity are fractional.