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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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
Topics referred to by the same term
Finite part may refer to: Cauchy principal value Hadamard finite part This disambiguation page lists mathematics articles associated with the same title
Finite_part
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
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
{\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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
Type of group
which every finitely generated subgroup is finite. Since the cyclic subgroups of a locally finite group are finitely generated hence finite, every element
Locally_finite_group
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
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
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
A finite wing is an aerodynamic wing with tips that result in trailing vortices. This is in contrast to an infinite wing. According to John D. Anderson
Finite_wing
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
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
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
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
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
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
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
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 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
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
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
top of M is the largest semisimple quotient module of M if it exists. For finite-dimensional k-algebras (k a field) R, if rad(M) denotes the intersection
Top_(algebra)
Theorem
{{codh}\;({\mathcal {F}})-q}}} ), if X is q-pseudoconvex (resp. q-pseudoconcave). (finiteness) H i ( X , F ) = 0 {\displaystyle H^{i}(X,{\mathcal {F}})=0} for i ≥ q
Andreotti–Grauert_theorem
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
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
Mathematical concept
referred to as finitely presented objects, or objects of finite presentation, are objects in a category satisfying a certain finiteness condition. An object
Compact_object_(mathematics)
Family of computer-aided design apps
parametric feature solid modeling, 3D direct modeling, 2D orthographic views, Finite Element Analysis and simulation, schematic design, technical illustrations
PTC_Creo
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
Sequence of operations for a task
all the characteristics of an algorithm except that it possibly lacks finiteness may be called a 'computational method'" (Knuth 1971:5). "Definition of
Algorithm
Mathematical expression
(repetitive process) terminates with a simple fraction, the result is a finite continued fraction; if it continues indefinitely, the result is an infinite
Continued_fraction
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)
of countably many copies of the vector space F. Note the role of the finiteness condition here. One could consider arbitrary sequences of elements in
Examples_of_vector_spaces
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
Set with an equinumerous proper subset
every set that is Dedekind-finite is finite. There are definitions of finiteness and infiniteness of sets besides the one given by Dedekind that do not
Dedekind-infinite_set
Addition of several numbers or other values
\sum _{i=m}^{n}\sum _{j=m}^{n}a_{i,j}=\sum _{i,j=m}^{n}a_{i,j}} . The term finite series is sometimes used when discussing the summation presented above.
Summation
Study of abstract machines and automata
with a finite number of states is called a finite automaton (FA) or finite-state machine (FSM). The figure on the right illustrates a finite-state machine
Automata_theory
Jazz record label
Finite Records was a private jazz record label which released about five records in the late 1970s. Drummer John Lewis is involved in three of the albums
Finite_Records
Index of articles associated with the same name
that certain ascending or descending sequences of subobjects must have finite length. Noetherian objects are named after Emmy Noether, who was the first
Noetherian
FINITENESS
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Surname or Lastname
North German, Danish, and Dutch
North German, Danish, and Dutch : from a shortened form of the personal name Billulf, composed of the elements bil ‘sword’, ‘axe’ + wulf ‘wolf’, or some other name with bil as the first element. For German, however, the most likely source is Pille, a French Huguenot name from the Dauphiné.English : variant spelling of Pill 2.French : habitational name from any of various minor places in northern France, so named from Old French pile, Latin pila, ‘pillar’, ‘column’. In Middle French pile denoted a trough used for crushing or pounding various materials, such as lime, and in some cases the surname may have arisen as a metonymic occupational name for someone engaged in such work.
Surname or Lastname
English
English : variant spelling of Humm 1.Swiss German : unexplained.Chinese : Taishan spelling of of Tan 1.Other Southeast Asian : unexplained.
Boy/Male
Slavic
Universal ruler.
Female
English
Variant spelling of English Margery, MARJORIE means "pearl."
Boy/Male
Muslim/Islamic
Bracelet Arm-ring
Boy/Male
Indian
Good mannered
Boy/Male
Greek English
Ready to fight.
Girl/Female
Spanish American
of Mars. Mars was the mythological Roman god of fertility for whom the month March was named;...
Girl/Female
Arabic
Grace; Gift
Girl/Female
Australian, French, Irish
Leafy Branch; Greenery
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n.
The state of being finite.