adj
(graph theory) Of a graph: having either zero or two vertices of the same degree.
n
(trigonometry) The area hyperbolic sine function, i.e., the inverse hyperbolic sine function.
n
(trigonometry) The area hyperbolic tangent function, i.e., the inverse hyperbolic tangent function.
n
(mathematics) Synonym of Kakeya set (“set of points in Euclidean space that contains a unit line segment in every direction”)
adj
(mathematics) Describing a line of tangency of two characteristics
adj
(mathematics, of a graph) Whose vertices have exactly two degrees
n
(mathematics) A self-affine curve constructible by midpoint subdivision.
n
(mathematics, graph theory) A graph with only one vertex.
n
Synonym of ceiling function
n
(mathematics) The use of a cyclic algorithm to solve indeterminate quadratic equations.
n
(graph theory) The smallest number of colours needed to colour a given graph (i.e., to assign a colour to each vertex such that no two vertices connected by an edge have the same colour).
n
(topology) A path whose initial point is equal to its terminal point.
n
(mathematics) A connection between two manifolds of the same dimension n via a manifold of dimension n+1, where the smaller manifolds are included in the boundary of the larger manifold.
n
(mathematics) The trigonometric function of the complement of the supplied angle.
n
(mathematics) a representation of the space of complex numbers
n
(analytic geometry, projective geometry) A complex line (especially, the set of complex numbers regarded as such) endowed with a point at infinity (thus becoming a projective line); (more formally) the set of equivalence classes of ordered pairs (α, β) of complex numbers, not both zero, with respect to the equivalence relation "(α, β) ≡ (λα, λβ) for all nonzero complex λ".
n
(algebra) A finite set of points and lines (and sometimes planes), generally with equal numbers of points per line and equal numbers of lines per point.
n
(differential geometry) A homeomorphism from a local neighborhood around a point on a topological n-manifold in a Banach space to an n-dimensional Banach space (typically a subspace of the space the manifold is embedded in).
n
(geometry, algebra) A Coxeter-Dynkin diagram.
adj
(mathematics) Describing a linear function formed from two others
n
(mathematics) Any function (polynomial) whose greatest exponent is 3.
n
(differential geometry) The first partial derivative of a function that describes a surface.
adj
(network analysis) Used to describe the number of circuits in a network; equal to the number of edges, minus the number of nodes plus the number of graphs.
n
(mathematics) Any function that is a solution of the Bessel equation
v
To have a deformation retract as a subspace.
n
A pair of parallel undirected edges in a multigraph.
n
(mathematics) a function used to calculate the distance between two points.
n
(mathematics) A conjecture in the theory of minimal surfaces, stating that the shape that encloses and separates two given volumes and has the minimum possible surface area is a "standard double bubble": three spherical surfaces meeting at angles of 2π/3 on a common circle.
n
(mathematics) Any function of a complex variable which is periodic in two directions.
n
Ordinary two- or three-dimensional space, characterised by an infinite extent along each dimension and a constant distance between any pair of parallel lines.
n
(mathematics) A point in a convex set which does not lie in any open line segment joining two points in the set.
n
(topology) A set of submanifolds of a given manifold, each of which is of lower dimension than it, but which, taken together, are coextensive with it.
n
(geometry, differential geometry) A map from a given oriented surface in Euclidean space to the unit sphere which maps each point on the surface to a unit vector orthogonal to the surface at that point.
n
(mathematics) Synonym of golden ratio
n
(combinatorics) A particular type of set system.
n
(mathematics) The underlying set of mathematical structures such as posets and matroids.
n
(trigonometry) The trigonometric function equal to half the coversed sine. Abbreviation: hacoversin
adj
Related to a closed three-dimensional manifold's being the identification of two handlebodies along their respective boundaries.
n
(mathematics) All the values on one side of the diagonal of a matrix (including the diagonal itself)
n
(mathematics, geometry, of a set A) The smallest set that possesses a particular property (such as convexity) and contains every point of A; slightly more formally, the intersection of all sets which possess the specified property and of which A is a subset.
n
(mathematics) A hypotenuse.
adj
Indicates that the specified function is a hyperbolic function rather than a trigonometric function.
n
(mathematics) a hyperbolic function that is written in symbol cosh and defined as the following: cosh (x)= tfrac 1 2(eˣ+e⁻ˣ)
n
Synonym of split-complex number
n
(mathematics) A form of chaotic behaviour with at least two positive Lyapunov exponents
n
(mathematics) An itemset containing items that are strongly correlated with each other
n
(mathematics) A generalisation of a determinant in a higher dimension.
adj
(mathematics) Describing an extension of elliptic functions to complex numbers.
adj
(mathematics) Alternative form of hyperelliptic [(mathematics) Describing an extension of elliptic functions to complex numbers.]
adj
(mathematics) Related to a hypergraph
n
(mathematics, logic) A form of Turing jump in hyperarithmetic.
adj
Alternative form of hyperkähler [(geometry, of a manifold) Being a quaternionic analogue of a Kähler manifold.]
n
(mathematics) A generalization of a matrix to a multidimensional array
n
(mathematics) A kind of number more complex than a hypercomplex number.
adj
Of or pertaining to hyperparameters.
n
(mathematics) An n-dimensional Euclidian space with n > 3.
n
(graph theory) The equivalent of a graph's vertex in a hypergraph.
n
(mathematics, topology) The set of all interior points of a set.
n
(topology) The theorem that states that a simple closed curve (Jordan curve) divides the plane into precisely two distinct areas.
n
(mathematics) A set of points in Euclidean space that contains a unit line segment in every direction.
n
(geometry) Any of a certain family of graphs related to Keller's conjecture, such that the vertices of the Keller graph of dimension n are the 4ⁿ elements (m₁,...,mₙ) where each m is 0, 1, 2, or 3, and two vertices are joined by an edge if they differ in at least two coordinates and differ by exactly two in at least one coordinate.
n
(geometry) For a given space, the maximum number of non-overlapping unit spheres that can be arranged in that space such that they each touch a common unit sphere.
n
(mathematics) A compact Riemann surface of genus 3 with the highest possible order automorphism group for this genus, namely order 168 orientation-preserving automorphisms, and 336 automorphisms if orientation may be reversed.
adv
(mathematics, mathematical analysis) Within a sufficiently small sphere (or circle or interval) around a given point (sometimes, around any point).
n
(mathematics, chiefly historical) Synonym of pi
v
(transitive) To make manifold; multiply.
n
(graph theory) A graph derived from a given plane graph such that this derived graph has a vertex corresponding to each edge of the given graph, and such that for every “angle” (consecutive trio of edge, vertex, edge) along the border of a face of the given graph there is a corresponding edge which connects the vertices corresponding to the two edges that are part of that “angle”.
n
(mathematics) A graphical representation of a set of objects and the morphisms relating them
n
(mathematics) An approximation of pi: 355/113.
n
(mathematics) A maximal connected subgraph of a dendrimer that shares only the coalescence node with a core.
n
(mathematics) A vector space having n vectors as its basis
adj
(algebraic geometry) Describing a curve the equation of which is nonic.
n
(mathematics) In mathematical morphology, the dilation of the erosion of a set.
n
(mathematics) The two-dimensional counterpart of the ham sandwich theorem.
n
(mathematics) A parabolic function, equation etc.
n
(mathematics) A geometric representation of the binomial coefficients in a triangle, each entry being the sum of the two entries above.
n
(mathematics) An irrational and transcendental constant representing the ratio of the circumference of a Euclidean circle to its diameter; approximately 3.14159265358979323846264338327950; usually written π.
n
(mathematics) A special skew-symmetric 4×4 matrix that characterizes a straight line in projective space, and is defined by six Plücker coordinates with four degrees of freedom.
n
(mathematics, set theory) A collection of sets of points (ordinarily understood to be elements of some perfect Polish space), characterized by some sort of definability property.
n
A set of points in geometric space.
n
(mathematics) An ordered set of singletons
n
(topology) A curve that shares certain topological properties with a line.
adj
(mathematics) of a function, of the form y=ax²+bx+c.
n
(mathematics) A type of average, calculated as the square root of the mean of the squares, ie. Q=√x_1²+x_2²+...+x_n²/n.
n
Obsolete form of quadratic. [(mathematics) A quadratic polynomial, function or equation.]
n
(mathematics) Any function of a polynomial whose greatest exponent is 4.
adj
(mathematics) Of a map f: textbf R→Y, having constants K>0 and C>0 such that 1/Kd(x,y)-C
n
(mathematics, countable) Abbreviation of radial basis function., a type of equation used to approximate a vector field, used in neural networks.
n
(mathematics) The horizontal line in the complex plane, every point on which corresponds to a real number
n
(set theory) The Cartesian product of two real lines.
adj
(topology, of a manifold) Containing a sphere of codimension 1 that is not the boundary of a ball.
n
(graph theory) A symmetric tessellation of a closed surface; a decomposition of a two-dimensional manifold into topological disks such that every flag (incident vertex-edge-face triple) can be transformed into any other flag by a symmetry (i.e., an automorphism) of the decomposition.
n
(mathematics, geometry) The branch of differential geometry that concerns Riemannian manifolds; an example of a geometry that involves Riemannian manifolds.
adj
(mathematics) Describing a form of elliptic curve having congruent roots
n
(mathematics) an invariant of degree 6
n
(engineering) Ellipsis of sinc function. ( f = sin(pi*x)/(pi*x))
n
(mathematics) Any integer which is the product of some integer with the integer itself.
adj
(mathematics) Said of an entry of a square matrix: that it lies anywhere in the lower triangular area below the main diagonal of the matrix.
n
(mathematics) A subsidiary facet
n
(mathematics) The use of subgrids
adj
(mathematics) Expressed by the cube root; said especially of ratios.
n
(mathematics) The diagonal of a matrix that lies directly above and to the right of the main diagonal.
n
(mathematics) A generalization of the superellipse that can be used to describe many complex shapes and curves found in nature.
adj
(mathematics) Describing a graph, distribution or equation between Gaussian and rectangular
adj
(mathematics) Describing an extension of a quadratic function related to the superellipsoid
n
(mathematics) The transform of a supermeasure.
adj
(mathematics, of a tropical geometry) Having symmetry and a modulus.
n
(differential geometry) A unit vector at any given point P of a surface M which is perpendicular to the tangent plane T_P(M) of M at P. For a surface with parametrization ⃑x(u,v), it is given by
n
(mathematics, neologism) Chiefly written τ: an irrational and transcendental constant representing the ratio of the circumference of a Euclidean circle to its radius, equal to twice the value of pi (2π; approximately 6.2831853071).
n
(Rubik's Cube) An algorithm for solving the Rubik's Cube by dividing the possible cube positions into groups.
n
Alternative spelling of three-space [(mathematics) A vector space whose basis of real numbers has three vectors]
n
(mathematics) A method of finding an approximate value for a definite integral, based on dividing the area under the graph of the function into a series of strips, each of which is approximately a trapezoid, and summing the area of all the trapezoids to approximate the area.
n
(mathematics) Any series of the form 1/2A_o+ displaystyle ∑ₙ₌₁ ᪲(A_n cos nx+B_n sin nx).
adj
(mathematics) Pertaining to an ultrahyperbolic equation.
adj
(mathematics) Of a matrix: such that the entries on the main diagonal of a (upper or lower) triangular matrix are all 1.
n
(mathematics) The vector whose initial and final points are those of a series of other vectors laid end to end.
n
(mathematics) A zero identity.
n
(geometry) A certain invariant of complex projective surfaces.
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