Concept cluster: Math and astronomy > Mathematics (4)
n
(mathematics, humorous) Category theory in general.
adj
(mathematics, of a function, etc.) That is distributive over addition.
n
(mathematics) The inverse with respect to addition; the opposite.
n
(mathematics, nonstandard) additivity
n
(countable) The result or product of being adjoint.
adj
(set theory, of a set) Infinite and not the disjoint union of two infinite subsets.
n
(calculus) A function whose derivative is a given function; an indefinite integral
n
(mathematics) an inverse trigonometric function
adj
(mathematics) Not derived from parameters
adj
(mathematics) Having no infinitely large or infinitely small elements.
adj
(mathematics, set theory) Of a set, that can be reduced to itself by a Turing machine that does not ask for its own input.
n
(mathematics) A contour integral involving a product of gamma functions, closely related to generalized hypergeometric series.
adj
Alternative spelling of biinfinite [(mathematics) Infinite in both directions, having neither a first nor a last element.]
adj
(mathematics) Infinite in both directions, having neither a first nor a last element.
n
(statistics) A symmetric continuous probability distribution with fat tails, with probability density function that is
n
(mathematics) A relationship that is the dual of associativity.
n
(mathematics) The number by which two commensurable numbers are divisible an integral number of times
n
(algebra) An invariant homogeneous polynomial in the coefficients of a form, a covariant variable, and a contravariant variable.
adj
(algebra) Satisfying a congruence relation.
n
(mathematics) The rational number obtained when a continued fraction has been terminated after a finite number of terms.
n
(mathematics) The dual of a point.
adj
(mathematics, of a set) Countably infinite; having a bijection with the natural numbers.
adj
(mathematical analysis) Of a measure: that satisfies countable additivity.
adj
(mathematics) Not represented in terms of category theory
adj
(mathematics) Capable of being assigned a bijection to the natural numbers. Applied to sets which are not finite, but have a one-to-one mapping to the natural numbers.
adj
(mathematics) having at least one discontinuity
adj
(set theory, not comparable) Of two or more sets, having no members in common; having an intersection equal to the empty set.
n
(mathematics) An infinite series whose partial sums are divergent
n
(mathematics) A special case of the Kolmogorov integral, used to define the Hellinger distance in probability theory.
adj
(mathematics) Having a half-integral abundancy index
adj
(mathematics) Not actually present, but considered as present when limits at infinity are included.
n
(mathematics, computing) A quality of an action such that repetitions of the action have no further effect on outcome – being idempotent.
adj
(mathematics) Belonging to the set of positive integers that cannot be expressed as ab + bc + ac for distinct positive integers a, b, and c.
adj
(mathematics) not primitive
n
(mathematics) An uncountable regular cardinal number that is a limit cardinal.
adj
(mathematics) Of two real numbers, such that their ratio is not a fraction of two integers.
adj
(mathematics) of or relating to two numbers that have different remainders when divided by a third number
n
(mathematics) A vector space that cannot be decomposed.
adj
(mathematics) Being an integral without specified limits.
n
(mathematics) A statement that two expressions are not the same.
adj
(physics, of a differential) having a path-dependent integral
adj
(mathematics, logic) Of or pertaining to expressions of infinite length
adj
(mathematics) Greater than any positive quantity or magnitude; limitless.
n
(mathematics) A continued fraction that goes on forever
n
(uncountable) A number which is very large compared to some characteristic number. For example, in optics, an object which is much further away than the focal length of a lens is said to be "at infinity", as the distance of the image from the lens varies very little as the distance increases further.
n
(mathematics, uncountable) The property of being injective.
n
(mathematics, dated) A repeating decimal.
adj
(mathematics) invariant
adv
(mathematics) In a manner that is invariant; unaffected by some operation.
n
(mathematics) For a given function f, another function, denoted f⁻¹, that reverses the mapping action of f; (formally) given a function f:X→Y, a function g:Y→X such that, ∀x∈X,f(x)=y⟹g(y)=x.
adj
(mathematics, arithmetic, number theory, not comparable) Of a real number, that cannot be written as the ratio of two integers.
adj
(mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x² + 1).
adj
(mathematics) Containing no redundant constraint.
n
(statistics) A probability distribution consisting of two exponential distributions, one positive and one negative.
n
(set theory) An ordinal number which is neither zero nor a successor of an ordinal.
n
(mathematics) A relationship between several quantities which can be considered as proportional and expressed in terms of linear algebra, or any mathematical property of a relationship, operation or function that is analogous to such proportionality, satisfying additivity and homogeneity.
adj
(mathematics) of, or relating to, n entities (where n is an arbitrary or large number)
adj
(mathematics) Not having the Archimedean property: containing infinite elements, i.e. elements which are larger than any result of adding 1 to itself a finite number of times.
n
A number that is not an integer.
adj
(mathematics) Of a function, functional, etc. which has non-negative values over a particular domain D.
adj
(information theory) Injective.
adj
Alternative form of non-Archimedean [(mathematics) Not having the Archimedean property: containing infinite elements, i.e. elements which are larger than any result of adding 1 to itself a finite number of times.]
adj
(algebra, of an algebraic structure) Whose multiplication operation is not assumed to be associative for all elements.
n
(mathematics) The condition of not being between two other objects (in position or value)
adj
(mathematics) Not cardinal.
adj
(of an algebraic structure) Not having commutativity of all elements under its operation.
adj
(mathematics) not preserving the sign; of opposite sign or zero
n
(mathematics) A value that is not constant.
n
(mathematics, physics) An instance or configuration that is not degenerate.
adj
(mathematics) Not differentiable.
n
A number that is not a divisor (of some specified value).
n
That which is not an element (of a mathematical set, etc.).
n
(mathematics) The absence of combinatorial explosion
n
(countable) A nonexponential relationship or function
n
(mathematics, computing) Anything that is not a function.
n
Any number that is not an integer, but especially a real number
adj
(mathematics) Not integral.
adj
(mathematics) Not of or pertaining to a lattice.
adj
(mathematics, of a function) Having a product of independent variables, or a variable with an exponent not equal to one.
adj
(mathematics) Not of or relating to manifolds.
adj
(mathematics) Not of or pertaining to a matrix.
adj
(mathematics, computing) Not null.
adj
(rare, mathematics, of an integer) Even, not odd.
adj
(mathematics) Not ordinal.
adj
(mathematics) Having a flexible number or nature of parameters which are not fixed in advance.
adj
(mathematics) Not lying in one plane.
adj
(algebra) Not polynomial.
adj
(mathematics, of a quantity) Not positive; either zero or negative.
adj
(mathematics) Not prime; composite
n
(computing, geometry) An object that is not a primitive.
adj
(chiefly mathematics) Not proper.
adj
(mathematics) Not real; not of the real numbers.
adj
(mathematics) Not regular.
adj
(mathematics) Describing the representation of a number having the property that no sequence of digits is repeated ad infinitum
n
(mathematics) A value that is not a residue.
adj
(mathematics, physics) Not separable
adj
(mathematics) Not simple.
adj
(mathematics) Not a singleton; containing more than one element.
n
(mathematics) A number that is not a square (second power).
n
(mathematical analysis) Analysis founded upon the hyperreal number system, i.e., which formally defines and uses infinitesimals, especially differentials.
n
(mathematical analysis, nonstandard analysis) A hyperreal number which is not a real number.
adj
(mathematics, of an equation) Not stiff.
n
(mathematics) The condition of being nonsummable
adj
(mathematics) Not symmetrized (remaining nonsymmetric)
adj
(mathematics) Not being of the simplest kind; not being empty or a singleton.
adj
(mathematics, of a quantity) Not equal to zero.
adj
(mathematics) That is not an element on the diagonal of a square matrix
n
(algebra) An automorphism which is not an inner automorphism.
n
(mathematics) A distribution d ∈ C^α is called paracontrolled by u ∈ C^α if there exists d′ ∈ Cᵝ such that d − d′ ≺ u ∈ C^(α+β).
adj
(mathematics) Having properties which are counterintuitive or difficult to handle.
n
(mathematics) A congruence of a preorder
adj
(mathematics) Not derived from another of the same type
n
(mathematics) A sequence obtained by adding or multiplying each term by a constant.
adj
(mathematics)
n
(mathematics)
adj
(mathematics) That is not dependent on a range
n
(mathematics, complex analysis, algebraic geometry) Any function expressible as the quotient of two (coprime) polynomials (and which thus has poles at a finite, discrete set of points which are the roots of the denominator).
n
(mathematics) A property of the truth of sentence structures in Peano arithmetic
n
(mathematics, physics) A procedure to obtain a finite result from a divergent sum (series) of functions, involving the integral transformation of another (convergent) function in which the individual terms defining the original function are rescaled.
n
The condition of being self-adjoint
adj
Limited at one end but extending to infinity in the other direction.
n
(mathematics) A type of order that is not wholly comparable
adj
(mathematics) Having all elements nonnegative where at least one is positive.
adj
(mathematics, of an algebra or ring) diagonalizable.
adj
(set theory, of a cardinal number) Not equal to its own cofinality.
n
The statement that a function is subadditive.
adj
(mathematics, of a matrix) stochastic but having sums of columns less than 1
n
The statement that a function is superadditive.
adj
(mathematics, of a sequence) Such that every element of the sequence is greater than the sum of all previous elements.
n
(geometry) congruence
adj
(mathematics) Involving surds, or irrational numbers; not capable of being expressed in rational numbers.
n
(mathematics) The group of instances at the tail (low end) of a distribution curve
n
(mathematics) Any of a group of special functions of several complex variables, important in many areas, including the theories of abelian varieties and moduli spaces, and of quadratic forms.
adj
(mathematics, physics) Not time-dependent; not determined by the value of a variable representing time.
n
(mathematics) The property of being a transcendental number.
adj
(algebra, number theory, field theory, of a number or an element of an extension field) Not algebraic (i.e., not the root of any polynomial that has positive degree and rational coefficients).
n
A transfinite number.
n
(mathematics, set theory) An extension of mathematical induction to well-ordered sets of transfinite cardinality, such as sets of ordinal numbers or cardinal numbers.
adj
(adjective, linear algebra) A matrix with the characteristic of having been transposed from a given matrix.
adj
(mathematics) Not degenerate.
adj
(mathematics) Of a variety: covered by a family of rational curves.
n
(mathematics) a completely multiplicative function on the positive integers that is defined as equal to one for a special value and zero otherwise:
n
(mathematics) In knot theory, a loop that is not knotted.
adj
(arithmetic) That cannot be turned into a prime number by changing just one of its digits to any other digit.
adj
(mathematics, of a knot) Not capable of being represented as a finite closed polygonal chain.
n
(statistics) A theorem relating to the distribution of the likelihood ratio.

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