adj
(geometry) Of or pertaining to a function expressible as f(⃑x)=A⃑x+⃑b (where A is a linear transformation and ⃑b is a constant), which, regarded as a transformation, maps parallel lines to parallel lines and finite points to finite points.
adj
(mathematics) Not changed in form by inversion.
n
(mathematics) An anholonomic system
adj
(mathematics) Lacking isotopy
adj
(mathematics) That produces anticommutation
n
(mathematics) The inverse of a commutation
adj
(mathematics) anticommutative
adj
(number theory) Pertaining to a Galois character φ, such that φ . (φ ◦ c) = 1, where c is the nontrivial element of Gal(K/Q), where K is an imaginary quadratic field.
n
(algebra) A particular extension of the antijoin operator.
n
(mathematics) The condition of being antidominant
adj
(mathematics, physics) Opposed to a field
n
(mathematics) A nonincident point-hyperplane pair in a projective space.
n
(mathematics) A complex conjugate of a fundamental representation in Lie algebra
n
(mathematics) A type of function defined on sets with multiplication that reverses the order of multiplication.
n
(mathematics) The number of which a given number is the Laplacian
adj
(mathematics, not comparable) The property of a function or operator whereby, when applied to nonzero elements from any non-empty open subset of its domain, the function or operator yields a result outside of that non-empty subset.
adj
(mathematics) Order-reversing
n
(mathematics) Synonym of AB percolation
adj
(mathematics) Metaplectic special.
adj
(mathematics) Containing an antidirected (x, y)-trail starting and ending with a forward arc for every choice of x and y.
adj
(of a tensor) That changes sign when any two indices are interchanged (e.g., Tᵢⱼₖ = -Tⱼᵢₖ);
n
(mathematics) The act of making antisymmetric.
n
(mathematics) The inverse of a transform
n
(mathematics) The dual of a paramorphism
adj
(mathematics) Describing a number whose square ends in the number itself; circular
n
(mathematics) A transformation such that the distribution of the mapped values is the same as the distribution of the original values.
adj
Being an injective Lipschitz function whose inverse function is also Lipschitz.
adj
(mathematics) affine in two different ways
n
(mathematics) A double algebroid
adj
(mathematics) Canonical on both the left and the right.
n
(mathematics) A type of bilinear complex number
adj
(mathematics) Both groupoidal and posetal.
n
(mathematics) The dual of a dual.
adj
(mathematics) Describing any system that may be described by a pair of hamiltonian structures
adj
(mathematics) Describing a class of fourth-order partial differential equations which arises in areas of continuum mechanics
adj
(mathematics) reversibly homogeneous
adj
(mathematics) Synonym of biharmonic
n
(mathematics) Such a category
n
(mathematics) A particular function of two paravectors.
adj
(mathematics) Acting as both a projective left and right module, such that the left and right multiplications are compatible.
n
(mathematics) A rack in which the two operations are invertible.
n
(mathematics) An antisymmetric tensor of second rank.
n
(mathematics, signal processing) Synonym of black top-hat transform
n
(mathematics) A cochain complex
n
(mathematics) A particular form of a chain complex
n
(mathematics) A homomorphism of a character
adj
(mathematics) Pertaining to the correspondence between subfields of a radical field extension with subgroups of a cogroup that is a Galois group.
adj
(mathematics) homomorphic and hyponormal
n
(algebra) An isomorphism from a projective space to the dual of a projective space, often to the dual of itself.
adj
(mathematics) Not divisible by a nontrivial cube.
n
(mathematics) A differentiable homeomorphism (with differentiable inverse) between differentiable manifolds.
adj
(mathematics) That can be transformed in two related ways
n
(linear algebra) column echelon form
n
a Fourier series consisting solely of cosine functions
n
(algebra) A magma: a set with a total binary operation.
n
(mathematics) A holomorphic function
n
(mathematics) holomorphic functions (or their study)
adj
(mathematics) Of which the properties of a smaller set apply to the whole; scalable.
adj
(mathematics) In corresponding proportion.
n
(mathematics) The property of a set where all orbit averages are equal to the global average.
adj
(mathematics) hyperbolic and holomorphic
adj
(mathematics, of a function of hyperreals) Both additive and homogeneous for hyperreal scalars.
adj
(mathematics) Pertaining to an algebra W such that W = W′ ∩ Alg LatW.
adj
(mathematics) Of a mapping or transformation: being its own inverse.
adj
(mathematics) Related by an isomorphism; having a structure-preserving one-to-one correspondence.
n
(mathematics) The study of isoperimetric structures.
n
(mathematics, physics, potential theory) The partial differential equation (∂²𝜑)/(∂x_1²)+(∂²𝜑)/(∂x_2²)+⋯+(∂²𝜑)/(∂x_n²)=0, commonly written 𝛥𝜑=0 or ∇²𝜑=0, where 𝛥(=∇²) is the Laplace operator and 𝜑 is a scalar function.
n
(mathematics) Any function whose graph is a straight line: f(x)=ax+b
adj
(mathematics, of a function) having a single derivative at a point
n
(mathematics) A multilinear commutator
adj
(mathematics) bijective or injective
n
(mathematics) Synonym of surjection
n
(mathematics, especially lattice theory) An element of an ortholattice which is the result of applying an orthocomplementation function to a given element (of that ortholattice) (of which it is said to be the orthocomplement).
n
(mathematics) A morphism that is also a permutation
adj
(mathematics, of an internal binary mapping on a countably infinite set) Having the property that for some cardinality, all subsets of that cardinality or smaller map to another element of the subset.
adj
(mathematics) Relating to a premodule.
adj
(mathematics) A code C is propelinear if, for every codeword x in C, there exists a coordinate permutation Pₓ such that x + Pₓ (C) = C and, for any codewords x, y, z, and c in C, if x + Pₓ(y) = z, then P_z(c) is the composition of the permutations Pₓ and P_y(c).
n
(mathematics) The condition of being pseudodual
n
(mathematics, physics) A quantity that transforms like a tensor under a proper rotation but gains an additional change of sign under an improper rotation.
n
(mathematics) A category enriched over the category Sup of suplattices.
n
(mathematics) A homogeneous polynomial in two or more variables.
n
(mathematics) The equivalent of a determinant in matrices that have noncommutative entries
adj
(mathematics) Describing a mapping that has some characteristics of a meromorphic one
adj
(mathematics, of a group) Semitopological, and such that the function mapping elements to their inverses is also continuous.
adj
(mathematics) Of a mechanical system whose constraint equations do not explicitly contain or are not dependent upon time.
adj
(mathematics, physics) Alternative form of self-conjugate [(physics) Of an subatomic particle that is identical to its antiparticle; includes all gauge bosons except the charged W-boson and quarks.]
adj
(mathematics, group theory) That has the nature of, or has a nature that derives from or is analogous to, a semidirect product.
n
(mathematics) A transformation that preserves angles and the ratios of distances
n
(linear algebra) The state of being skew-symmetric
adj
(mathematics) Alternative form of skew-symmetric [(linear algebra) Of a matrix, satisfying A^( textsf )T=-A, i.e. having entries on one side of the diagonal that are the additive inverses of their correspondents on the other side of the diagonal and having only zeroes on the main diagonal.]
n
(mathematics) A type of algebra used in supersymmetry.
n
(mathematics) A translation of a superalgebra
adj
(mathematics) of, relating to, or being a surjection
n
(mathematics) A square matrix that is its own transpose, and is thereby symmetric about the main diagonal
n
(mathematics, geometry, algebra) A group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition.
adj
(mathematics) of or pertaining to a tensor
n
Alternative form of Tschirnhaus transformation [(mathematics) A type of mapping on polynomials that may be defined by means of field theory as the transformation on minimal polynomials implied by a different choice of primitive element.]
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