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State of being limited or ended
Specification of finiteness is common when referring to sums in the state of finiteness, to distinguish them from those which are not. The term finite is used
Finiteness
Mathematical theory
of Kleinian groups, the Ahlfors finiteness theorem describes the quotient of the domain of discontinuity by a finitely generated Kleinian group. The theorem
Ahlfors_finiteness_theorem
Topics referred to by the same term
In mathematics, there are several finiteness theorems. Ahlfors finiteness theorem Finiteness theorem for a proper morphism Compactness theorem, in mathematical
Finiteness_theorem
Finite collection of distinct objects
numerical concept of finiteness.) Ia-finite. For every partition of S {\displaystyle S} into two sets, at least one of the two sets is I-finite. (A set with this
Finite_set
fusion categories. There are several known cases of rank-finiteness. These The rank-finiteness theorem for modular tensor category is a theorem due to
Rank-finiteness
Concept in measure theory
{\displaystyle \sigma } -finite. A different but related notion that should not be confused with σ {\displaystyle \sigma } -finiteness is s-finiteness. Let ( X , A
Σ-finite_measure
Mathematical property
infinite groups. Special cases of groups with finiteness properties are finitely generated and finitely presented groups. Given an integer n ≥ 1, a group
Finiteness properties of groups
Finiteness_properties_of_groups
mathematics, the obstruction to a finitely dominated space X being homotopy-equivalent to a finite CW-complex is its Wall finiteness obstruction w(X) which is
Wall's_finiteness_obstruction
Discrete analog of a derivative
A finite difference is a mathematical expression of the form f(x + b) − f(x + a). Finite differences (or the associated difference quotients) are often
Finite_difference
Geometric system with a finite number of points
A finite geometry is any geometric system that has only a finite number of points. The familiar Euclidean geometry is not finite, because a Euclidean line
Finite_geometry
Algebraic structure
a finite field or Galois field (so-named in honor of Évariste Galois) is a field that has a finite number of elements. As with any field, a finite field
Finite_field
Topics referred to by the same term
finitely presented may refer to: finitely presented group finitely presented monoid finitely presented module finitely presented algebra finitely presented
Finitely_presented
Topics referred to by the same term
finite graph Locally finite group Locally finite measure Locally finite operator in linear algebra Locally finite poset Locally finite space, a topological
Locally_finite
Topological concept
sets in the collection. In the mathematical field of topology, local finiteness is a property of collections of subsets of a topological space. It is
Locally_finite_collection
On kernels of maps between abelianized fundamental groups of schemes and fields
Katz–Lang finiteness theorem, proved by Nick Katz and Serge Lang (1981), states that if X is a smooth, geometrically connected scheme of finite type over
Katz–Lang_finiteness_theorem
is called geometrically finite if it has a well-behaved fundamental domain. A hyperbolic manifold is called geometrically finite if it can be described
Geometric_finiteness
Mathematical model of computation
theoretical computer science, a finite-state machine (FSM) or finite-state automaton (FSA, plural: automata), finite automaton, or simply a state machine
Finite-state_machine
Syllabus in college and university mathematics
In mathematics education, Finite Math is a syllabus in college and university mathematics that is independent of calculus. A course in precalculus may
Finite_mathematics
Group type in algebra
inherits some finiteness property of a space. Geometric group theory studies the connections between algebraic properties of finitely generated groups
Finitely_generated_group
Topological space in which every point has a finite neighborhood
neighborhood consisting of finitely many elements. The conditions for local finiteness were created by Jun-iti Nagata and Yury Smirnov while searching for a
Locally_finite_space
Numerical method for solving physical or engineering problems
Finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical
Finite_element_method
Verb form that can complete an independent clause by itself
English imperative). A finite transitive verb or a finite intransitive verb can function as the root of an independent clause. Finite verbs are distinguished
Finite_verb
Mathematical function in measure theory
generalized notions of volumes, an s-finite measure is a special type of measure. An s-finite measure is more general than a finite measure, but allows one to generalize
S-finite_measure
Theorem in algebra
In algebra, Zariski's finiteness theorem gives a positive answer to Hilbert's 14th problem for the polynomial ring in two variables, as a special case
Zariski's_finiteness_theorem
Topics referred to by the same term
Finite number may refer to: Natural number, a countable number less than infinity, being the cardinality of a finite set Real number, such as may result
Finite_number
A {\displaystyle A} over a ring R {\displaystyle R} is called finite if it is finitely generated as an R {\displaystyle R} -module. An R {\displaystyle
Finite_algebra
Type of mathematical space
property of finite sets is that every cover of a finite set by subsets has a finite subcover: one may choose, for each point of the finite set, a member
Compact_space
Topics referred to by the same term
Look up finite, finitely, or finiteness in Wiktionary, the free dictionary. Finite, or variants, may refer to: Finite set, a set whose cardinality (number
Finite_(disambiguation)
Type of morphism in algebraic geometry
characterization of quasi-finiteness in terms of stalks. For a general morphism f : X → Y and a point x in X, f is said to be quasi-finite at x if there exist
Quasi-finite_morphism
Category in which all small limits exist
whence it is (finitely) complete if and only if it has all (finite) products, and dually for cocompleteness. Without the finiteness restriction a posetal
Complete_category
branch of mathematics, a finite measure or totally finite measure is a special measure that always takes on finite values. Among finite measures are probability
Finite_measure
Type of filter in signal processing
processing, a finite impulse response (FIR) filter is a filter whose impulse response (or response to any finite length input) is of finite duration, because
Finite_impulse_response
Concept in logic
theory, a finite game (sometimes called a founded game or a well-founded game) is a two-player game that is assured to end after a finite number of moves
Finite_game
Type of mathematical group
residually finite or finitely approximable if for every element g that is not the identity in G there is a homomorphism h from G to a finite group, such
Residually_finite_group
Concept in algebraic geometry
In algebraic geometry, a finite morphism between two affine varieties X , Y {\displaystyle X,Y} is a dense regular map which induces isomorphic inclusion
Finite_morphism
mathematics, a hyper-finite field is an uncountable field similar in many ways to finite fields. More precisely a field F is called hyper-finite if it is uncountable
Hyper-finite_field
of finite character if for each A {\displaystyle A} , A {\displaystyle A} belongs to F {\displaystyle {\mathcal {F}}} if and only if every finite subset
Finite_character
Type of algebra
mathematics, a finitely generated algebra (also called an algebra of finite type) over a (commutative) ring R {\displaystyle R} , or a finitely generated R
Finitely_generated_algebra
Mathematics concept
In mathematics, finite-dimensional distributions are a tool in the study of measures and stochastic processes. A lot of information can be gained by studying
Finite-dimensional distribution
Finite-dimensional_distribution
Group whose Cayley graph is an initially subamenable graph
by Weiss (2000), following his use of the word as a generalization of finiteness in sofic subshifts. A non-sofic group is a group that is not a sofic group
Sofic_group
pseudo-finite field F is an infinite model of the first-order theory of finite fields. This is equivalent to the condition that F is quasi-finite (perfect
Pseudo-finite_field
Finite-state machine
Ullman 1979, pp. 59–60. Rose, Gene F. (1968). "Closures which Preserve Finiteness in Families of Languages". Journal of Computer and System Sciences. 2
Deterministic finite automaton
Deterministic_finite_automaton
Topological concept for collections of sets
space X {\displaystyle X} is said to be point-finite if every point of X {\displaystyle X} lies in only finitely many members of U . {\displaystyle {\mathcal
Point-finite_collection
{\displaystyle B} is called an A {\displaystyle A} -algebra of finite type if B {\displaystyle B} can be finitely generated as an A {\displaystyle A} -algebra. It is
Morphism_of_finite_type
Commutative group (mathematics)
groups is generally simpler than that of their non-abelian counterparts, and finite abelian groups are very well understood and fully classified. An abelian
Abelian_group
Type of clause in grammar
In linguistics, a non-finite clause is a dependent or embedded clause that represents a state or event in the same way no matter whether it takes place
Non-finite_clause
Theorem in Lie theory in mathematics
local rigidity and finite generation of lattices the Kazhdan-Margulis theorem is an important ingredient in the proof of Wang's finiteness theorem. If G {\displaystyle
Kazhdan–Margulis_theorem
learning theory, a class C of languages has finite thickness if every string is contained in at most finitely many languages in C. This condition was introduced
Finite_thickness
Generalised alphabetical order
used in combinatorics, orders subsets of a given finite set by assigning a total order to the finite set, and converting subsets into increasing sequences
Lexicographic_order
Mathematical group
an infinite finitely presented group with no nontrivial finite quotients. The quotient by the maximal proper normal subgroup is a finitely generated infinite
Higman_group
Type of shift space studied in ergodic theory
In mathematics, subshifts of finite type are shift spaces defined by a finite set of forbidden words. They are used to model dynamical systems, and in
Subshift_of_finite_type
Topics referred to by the same term
A finite map can be one of the following: In computer science, finite map is a synonym for an associative array. A finite map in algebraic geometry is
Finite_map
Topics referred to by the same term
Finite type refers to several related concepts in mathematics: Algebra of finite type, an associative algebra with finitely many generators Morphism of
Finite_type
Study of discrete mathematical structures
can be finite or infinite. The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deal with finite sets, particularly
Discrete_mathematics
Class of numerical techniques
analysis, finite-difference methods (FDM) are a class of numerical techniques for solving differential equations by approximating derivatives with finite differences
Finite_difference_method
Finite topology is a mathematical concept which has several different meanings. A finite topological space is a topological space, the underlying set of
Finite_topology
particularly in abstract algebra, a ring R is said to be stably finite (or weakly finite) if, for all square matrices A and B of the same size with entries
Stably_finite_ring
Belief in a deity that is not omnipotent
that Wells was first "to devote an entire book to the concept of God's finiteness". Wells dissociated his God in any respect from the biblical God. Albert
Theistic_finitism
Type of solvable group in mathematics
called polycyclic-by-finite groups. Although polycyclic-by-finite groups need not be solvable, they still have many of the finiteness properties of polycyclic
Polycyclic_group
Shape containing unit line segments in all directions
conjecture could be carried over to the Euclidean case. Finite Field Kakeya Conjecture: Let F be a finite field, let K ⊆ Fn be a Kakeya set, i.e. for each vector
Kakeya_set
Curves of genus > 1 over the rationals have only finitely many rational points
field with good reduction outside a fixed finite set of places. Aleksei Parshin showed that Shafarevich's finiteness conjecture would imply the Mordell conjecture
Faltings'_theorem
Join-meet algebra on matroid flats
lattice is a finite atomistic semimodular lattice, and a matroid lattice is an atomistic semimodular lattice without the assumption of finiteness. Geometric
Geometric_lattice
Quantum analog of probabilistic automata
In quantum computing, quantum finite automata (QFA) or quantum state machines are a quantum analog of probabilistic automata or a Markov decision process
Quantum_finite_automaton
Finiteness of sets of forbidden graph minors
family of graphs that is closed under taking minors can be defined by a finite set of forbidden minors, in the same way that Wagner's theorem characterizes
Robertson–Seymour_theorem
Group without normal subgroups other than the trivial group and itself
for finite groups one eventually arrives at uniquely determined simple groups, by the Jordan–Hölder theorem. The complete classification of finite simple
Simple_group
Number of vectors in any basis of the vector space
defined. V {\displaystyle V} is said to be finite-dimensional if the dimension of V {\displaystyle V} is finite, and infinite-dimensional if its dimension
Dimension_(vector_space)
Algebraic structure in linear algebra
is finite-dimensional if its dimension is a natural number. Otherwise, it is infinite-dimensional, and its dimension is an infinite cardinal. Finite-dimensional
Vector_space
Subset with finite complement
a finite set. In other words, A {\displaystyle A} contains all but finitely many elements of X . {\displaystyle X.} If the complement is not finite, but
Cofiniteness
In mathematics, a quasi-finite field is a generalisation of a finite field. Standard local class field theory usually deals with complete valued fields
Quasi-finite_field
Linear operator in functional analysis
of mathematics, a finite-rank operator is a bounded linear operator between Banach spaces whose range is finite-dimensional. Finite-rank operators are
Finite-rank_operator
Fundamental space of geometry
Geometry in affine spaces over a finite fields has also been widely studied. For example, elliptic curves over finite fields are widely used in cryptography
Euclidean_space
Group that admits a formal description in terms of reflections
1016/0022-4049(94)90019-1. Brink, Brigitte; Howlett, Robert B. (1993). "A finiteness property and an automatic structure for Coxeter groups". Mathematische
Coxeter_group
Mathematical concept
In mathematics, a finite topological space is a topological space for which the underlying point set is finite. That is, it is a topological space which
Finite_topological_space
Mathematical theorem
that a group subjected to certain finiteness conditions on chains of subgroups, can be uniquely written as a finite direct product of indecomposable subgroups
Krull–Schmidt_theorem
Mathematical method extending convergence
Hadamard finite part or Hadamard's partie finie) is a method of regularizing divergent integrals by dropping some divergent terms and keeping the finite part
Hadamard_regularization
Finite sets whose elements are all hereditarily finite sets
hereditarily finite sets are defined as finite sets whose elements are all hereditarily finite sets. In other words, the set itself is finite, and all of
Hereditarily_finite_set
Automatic mechanical calculator
Charles Babbage. The name difference engine is derived from the method of finite differences, a way to interpolate or tabulate functions by using a small
Difference_engine
In mathematics the finite Fourier transform may refer to either another name for discrete-time Fourier transform (DTFT) of a finite-length series. E.g
Finite_Fourier_transform
Coefficient used in numerical approximation
to an arbitrary order of accuracy, it is possible to use the finite difference. A finite difference can be central, forward or backward. This table contains
Finite_difference_coefficient
Mathematical group based upon a finite number of elements
In abstract algebra, a finite group is a group whose underlying set is finite. Finite groups often arise when considering symmetry of mathematical or physical
Finite_group
Topics referred to by the same term
Finite completeness may refer to: Complete category, a category in which all finite limits exist Completeness (order theory)#Finite completeness, a condition
Finite_completeness
Algebraic structure
in the classification of finite semigroups is Krohn–Rhodes theory, analogous to the Jordan–Hölder decomposition for finite groups. Some other techniques
Semigroup
In algebra, module with a finite generating set
R-module, finite over R, or a module of finite type. Related concepts include finitely cogenerated modules, finitely presented modules, finitely related
Finitely_generated_module
In mathematics, the classification of finite simple groups states that every finite simple group is cyclic, or alternating, or in one of 16 families of
List_of_finite_simple_groups
Mathematical group that can be generated as the set of powers of a single element
cyclic group is isomorphic to the additive group of Z, the integers. Every finite cyclic group of order n is isomorphic to the additive group of Z/nZ, the
Cyclic_group
Type of topological space
homeomorphism. (closure-finiteness) The image of the boundary g α k ( ∂ D k ) {\displaystyle g_{\alpha }^{k}(\partial D^{k})} is covered by a finite number of closed
CW_complex
In mathematics, a K-finite function is a type of generalized trigonometric polynomial. Here K is some compact group, and the generalization is from the
K-finite
Abstract ring with finite number of elements
finite ring is a ring that has a finite number of elements. Every finite field is an example of a finite ring, and the additive part of every finite ring
Finite_ring
Collection of mathematical objects
{\displaystyle \emptyset } ) and the latter has no elements at all. A set is finite if there exists a natural number n {\displaystyle n} such that the first
Set_(mathematics)
Smallest grammatical unit that can express a complete proposition
between finite and non-finite clauses. A finite clause contains a structurally central finite verb, whereas the structurally central word of a non-finite clause
Clause
Study of signs
rather than a static product. The theory of finite semiotics explains semiosis as an effect of the finite nature of the human mind that occurs as an individual
Semiotics
In mathematics, a locally finite measure is a measure for which every point of the measure space has a neighbourhood of finite measure. Let ( X , T ) {\displaystyle
Locally_finite_measure
Linear combination of indicator functions of real intervals
on the real numbers is called a step function if it can be written as a finite linear combination of indicator functions of intervals. Informally speaking
Step_function
Resource shortage in computers
correctness. The name "finite bypass" means that any process (concurrent part) of the algorithm is bypassed at most a finite number times before being
Resource_starvation
The fuzzy finite element method combines the well-established finite element method with the concept of fuzzy numbers, the latter being a special case
Fuzzy_finite_element
Method for representing and evaluating partial differential equations
The finite volume method (FVM) is a method for representing and evaluating partial differential equations in the form of algebraic equations. In the finite
Finite_volume_method
Concept in category theory
group. Finitely generated group Finitely generated monoid Finitely generated abelian group Finitely generated module Finitely generated ideal Finitely generated
Finitely_generated_object
Northern Je language spoken in Brazil
Mẽbêngôkre verbs inflect for finiteness and thus have a basic opposition between a finite form and a nonfinite form. Finite forms are used in matrix clauses
Kayapo_language
American musician and animator (born 1996)
which have been featured in internet memes. He has released the albums Finite Form (2013), Viator (2015), Reviator (2017) Pop Food (2017), HiLo (2018)
Jack_Stauber
Comic book series of predetermined length
limited series differs from an ongoing series in that the number of issues is finite and determined before production, and it differs from a one shot in that
Limited_series_(comics)
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