adj
(algebra, of a field) Whose every element is a root of some polynomial whose coefficients are rational.
n
(algebra, order theory) A partially ordered set (poset) in which every element is the supremum of the compact elements below it.
n
(mathematics) A determinant which is an alternating function.
adj
(mathematics) Having the property that all mappings yield a value no smaller than itself.
n
(algebra, databases) A type of join, denoted by ▷, such that R▷S yields only those tuples in R for which S has no corresponding tuple of the same value.
adj
Of a natural number, with respect to base b, being equivalent to the natural number whose digits are reversed and subtracted from b-1: ∑ᵢ₌₀ⁿa_ibⁱ is antipalindromic iff ∑ᵢ₌₀ⁿa_ibⁱ=∑ᵢ₌₀ⁿ(b-1-a_n-i)bⁱ Longleftrightarrow a_i=b-1-a_n-i.
n
(mathematics) Any set that transforms via a converse function.
adj
(algebra, of a binary operator *) Such that, for any operands a,b and c, (a*b)*c=a*(b*c); (of a ring, etc.) whose multiplication operation is associative.
n
A convolution of a function with itself.
n
(mathematics) A bilinear mapping which is a derivation in each variable separately.
n
(mathematics) A particular form of matrix decomposition
n
(mathematics) A formula giving the expansion of a binomial such as (a+b) raised to any positive integer power, i.e. (a+b)ⁿ. It's possible to expand the power into a sum of terms of the form axᵇyᶜ where the coefficient of each term is a positive integer. For example:
n
(mathematics) The graph of the real part of the logarithms of a polynomial equation under the argument mapping.
adj
(mathematics) Describing the complement of an analytic set or other mathematical entity
n
An operator that measures nonassociativity of a coproduct.
n
(mathematics) A generalised derivative of a multivalued mapping
adj
(mathematics, of a relation) complement dual.
adj
(mathematics) That forms a colimit
n
(algebra) A relatively new discipline in mathematics that combines techniques and concepts from combinatorics and commutative algebra, and in which the geometry of convex polytopes also plays a significant role.
n
(algebra) More generally: any equivalence relation defined on an algebraic structure which is preserved by operations defined by the structure.
v
(mathematics) To multiply on the left by one element and on the right by its inverse.
adj
(mathematics) Of a matrix: being a transpose of an inverse matrix.
n
(algebra) A bihomogeneous polynomial in dual variables of x, y, ... and the coefficients of some homogeneous form in x, y, ... that is invariant under some group of linear transformations.
adj
(mathematics, of a group) Being generated by only one element.
n
(geometry) A contravariant constructed from an invariant by acting on it with a differential operator called an evector.
n
(mathematics) The formal notion of points moving away from one another under the action of an iterated function.
adj
(mathematics) Which forms a surjection from the domain to every open subset of the codomain.
adj
(mathematics) of a function of two or more variables in which the ratio of the partial derivatives depends only on the ratio of the variables, not their value
adj
(mathematics) (said of an algebraic structure) Having an idempotent operation (in the sense given above).
n
(mathematics) A function used to generate interpolation
adj
(mathematics) Describing matrices that are mutually reducible
n
(mathematics) a function of the generalized coordinates and velocities of a dynamic system from which Lagrange's equations may be derived
n
(mathematics) The Laplace operator.
n
(mathematics) monomial expressions whose variable components are identical.
n
(mathematics) A basic algebraic structure consisting of a set equipped with a single binary operation.
adj
(mathematics, logic, of a relationship between two sets) having the property that many elements of one set may be assigned by the relationship to one element in the other set, and that a given element in the first set can be assigned by only one member of the second set.
adj
(mathematics) Local with respect to both space and cotangent space.
n
(mathematics) A set which is closed under an associative binary operation, and which contains an element which is an identity for the operation.
n
A real-valued function on a differentiable manifold such that, at each point in its domain where the function's differential is zero, the function's Hessian is nonsingular.
adj
(mathematics, not comparable) Of or relating to a class of number systems relating to the imaginary numbers. See Multicomplex number on Wikipedia.
adj
(mathematics) Describing an extension of differential calculus that deals with nonlinear hyperbolic and similar functions
adj
(mathematics) Pertaining to a pair (a, b) of set functions where a is supermodular, b is submodular, and they always satisfy the cross-inequality b(X) - a(Y) > b(X-Y) -a(Y-X) for all X, Y.
n
(nonstandard) Alternative spelling of power law [(mathematics) A mathematical relationship in which the magnitude of something is proportional to a fixed power of the magnitude of something else (i.e. the relationship takes the form f(x) = a.xᵏ).]
n
(mathematics) The relative pseudo-complement of a given element (of a Heyting algebra) with respect to the least element — the "zero" of that algebra.
adj
(mathematics) Describing an extension to differential calculus that deals with Fourier transforms and similar structures
n
(complex analysis) An imaginary number.
n
(mathematics) A contravariant expressing a certain condition of tangency; a differential invariant.
n
(mathematics) The residual operation of a Heyting algebra when considered as a residuated lattice whose monoid operation is the meet operation. Equivalently, the relative pseudo-complement of a with respect to b is the supremum of the set of all z such that z∧a⩽b, where ∧ denotes the meet operation of the given Heyting algebra.
n
(countable) Any image of that operator.
n
(mathematics) A mathematical construct that resembles a module, except that the underlying abelian group is replaced with an abelian semigroup, so the elements do not necessarily have inverses.
n
(algebra) A method of polynomial long division in which one does not write the variables and some of the calculations.
adj
(mathematics) Describing a class of sixth-order partial differential equations which arises in areas of continuum mechanics
n
Synonym of Teichmüller-Tukey lemma
adj
(mathematics) Having a single idempotent element.
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