n
(mathematics) The branch of mathematics that uses tools from abstract algebra to study topological spaces.
n
(algebra) An algebra such that every subalgebra generated by two elements is associative.
n
(mathematics) Common name for matrix.
n
(mathematics) A category of quadruples related to the gluing construction.
n
(physics) The product of two vectors (and optionally an operator), in Hilbert space, where the left vector is a bra and the right is a ket. Symbolised by ⟨...|...〉 (bra and ket only) or ⟨...|...|...〉 (bra, operator, ket).
n
(mathematics, topology, geometry) Any of a group of characteristic classes associated with complex vector bundles, with applications in physics, string theory, etc.
adj
(mathematics) Subject to coclosure
n
(mathematics) A discrete wavelet that has a scaling function with a vanishing moment.
n
(mathematical analysis, topology) a function from one topological space to another, such that the inverse image of any open set is open
n
(computer science) An algorithm for matrix multiplication.
n
(mathematics) The dual of a span.
n
(mathematics) A linear map from a vector space to its field of scalars
adj
(vector calculus) irrotational
n
(combinatorics) An array of symbols from an alphabet (often just 0 and 1) that contains every m-by-n matrix exactly once.
n
Synonym of de Moivre's formula
adj
(of an encoding or function) Having multiple domain elements correspond to one element of the range.
n
(mathematics) In the theory of metric spaces, a well-spaced set of points that is both uniformly discrete and relatively dense.
n
(mathematics) Alternative form of bialgebra [(mathematics) A particular form of vector space that is a compatible form of two algebras.]
n
(mathematics, differential geometry) A subset of the tangent bundle of a manifold that satisfies certain properties; used to construct the notions of integrability and foliation of a manifold.
n
(mathematics, education) An informally defined area of algebra considered suitable to be taught to secondary school students.
n
(mathematics) A map which maps a subspace (smaller structure) to the whole space (larger structure).
n
(topology, graph theory, algebraic geometry) A natural number representing any of several related measures of the complexity of a given manifold or graph.
n
(mathematics) A set of sets that contains the empty set, all one-element sets for any element that is included in any of the sets, and the union of any overlapping group of sets that are elements.
n
(mathematics) A certain generalisation of a cover obtained iteratively
n
(mathematics) A hyperstructure with a hyperoperation.
n
(mathematics) A generalization of homology of an object to complexes.
adj
(mathematics) Pertaining to a hyperspecial subgroup.
adj
(mathematics) Having a self-commutator that is greater than or equal to zero.
n
(countable, topology, mathematical analysis) An idealised point which is said to be approached by sequences of values whose magnitudes increase without bound.
n
(differential geometry) A type of geometry (mathematical object representing a space and its spatial relationships); a homogeneous space X together with a symmetry group which represents the group action on X of some Lie group;
n
(mathematics) Any of four topological invariants associated with a topological space. The smallest Listing number counts the number of connected components of a space, and is thus equivalent to the zeroth Betti number.
n
(mathematics) A topological space, constructed by stringing together an uncountable number of intervals, which is "longer" than the real line.
n
(mathematics) A function space of continuous functions that map from the unit interval to a space from x₀ to x₁, all of which map 0 to x₀ and 1 to x₁.
n
(mathematics) A complete Boolean algebra having a continuous submeasure (also known as a Maharam submeasure).
n
(combinatorics) A structure that captures the essence of a notion of "independence" that generalizes linear independence in vector spaces and acyclicality in graphs.
n
(mathematics) A closed involutive cone in the cotangent bundle of codirections in which the cohomology of the object does not propagate.
n
(mathematics) An inequality that establishes that the Lp spaces are normed vector spaces.
adj
(mathematics) Being or relating to a subgroup of the general linear group GLₙ(k) that consists of automorphisms fixing a given non-zero vector in kⁿ. Its image in the projective general linear group is a parabolic subgroup consisting of all elements fixing a given point of projective space.
n
(group theory) For a given dimension n, the group of projective transformations leaving a particular hypersphere invariant.
n
(mathematics) The character χ, as applied to a modular form.
n
(linear algebra, functional analysis) The set of all vectors which are orthogonal to a given set of vectors.
adj
(mathematics, of a topological semigroup) That is algebraically a group.
adj
(mathematics) Composed of perfectoid fields.
n
(mathematics) partially-ordered sheaf
n
(mathematics) The result of a function on a group of sets, where the function satisfies three conditions: (1) it returns 0 for the empty set; (2) if one set is contained in another set, the function always returns a value that is less than or equal to the result for the containing set; (3) the result for the union of two sets is less than or equal to the sum of the results for each of those sets individually minus the result for their intersection.
n
Alternative form of pre-Hilbert space [(mathematics) An incomplete metric space with an inner product.]
n
(mathematics) The portion of a Laurent series that has negative exponents.
n
(physics) A mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales.
n
(mathematics) a vector that is the vector sum of multiple vectors
n
(mathematics) A ring-like algebraic structure.
n
(mathematics) A configuration of vectors in a Euclidean space satisfying certain geometrical properties, fundamental in the theory of Lie groups and Lie algebras.
n
(mathematics) A homogeneous space of a connected solvable Lie group.
n
A closed subset of an algebra.
n
(mathematics) A subset of a groupoid closed under inversion and composition.
n
(topology) A subset of a mesh
n
(mathematics) A subset of a monoid that is itself a monoid
n
(mathematics, representation theory) Given a representation (W,ψ) of (say) a group G, a linear subspace of W which is preserved by the action of G in the sense that g · v ∈ V for all v ∈ V.
n
(linear algebra, group theory) For given field F and positive integer n, the group of 2n×2n symplectic matrices with elements in F.
adj
(mathematics) Being a particular kind of monoidal category equipped with some extra structure relative to a given field.
adj
(mathematics) Pertaining to a graph on a finite group whose vertices are the subgroups of a specified order and for which two vertices are adjacent if the sets of all normalized right transversals for each corresponding subgroup contain at least one common element.
Note: Concept clusters like the one above are an experimental OneLook
feature. We've grouped words and phrases into thousands of clusters
based on a statistical analysis of how they are used in writing. Some
of the words and concepts may be vulgar or offensive. The names of the
clusters were written automatically and may not precisely describe
every word within the cluster; furthermore, the clusters may be
missing some entries that you'd normally associate with their
names. Click on a word to look it up on OneLook.
Our daily word games Threepeat and Compound Your Joy are going strong. Bookmark and enjoy!
Today's secret word is 8 letters and means "Believable and worthy of trust." Can you find it?