Finite (1030 bytes)
1: In [[mathematics]], a [[set]] is called '''finite''' if and only if
2: ...t finite. Sets that are not finite are called [[infinite]].
4: ...tence like "if the distance of the two objects is finite...".

Finite language (246 bytes)
1: ...ontaining a [[finite]] number of [[string]]s. The finite languages are the simplest languages.
2: All finite languages are [[regular language|regular]].

Finite generator (143 bytes)
2: ...ator''' is a [[sequence generator]] which has a [[finite]] description of the internal generator state.

Finite verb (1208 bytes)
1: ...es and categories of the languages it occurs in. Finite verbs can form independent [[clause]]s, which can...
3: ... verbs in certain [[grammatical moods|moods]] are finite. These include:
8: Moods and verb forms that are not finite include:

Finite mathematics (427 bytes)
1: The term '''''finite mathematics''''' refers either to

Finite group (1240 bytes)
1: [[Category:Group theory]][[Category:Finite groups|*]]
3: ...]]ly many elements. Some aspects of the theory of finite groups were investigated in great depth in the [[...
5: ... finite groups, the [[Weyl group]]s. In this way, finite groups and their properties can enter centrally i...
16: *[[Classification of finite simple groups]]
18: *[[Pro-finite group]]

Finite geometry (4264 bytes)
2: ...y [[geometry|geometric]] system that has only a [[finite]] number of [[point]]s.
3: ...s not finite, because a Euclidean line contains infinitely many points, in fact precisely the same number ...
4: There are two main kinds of finite geometry: [[affine geometry|affine]] and [[projec...
7: Both finite affine geometry and finite projective geometry may be described by fairly si...
16: More generally, a finite affine plane of order ''n'' has ''n''²...

Finite field (6160 bytes)
1: ...y]], [[cryptography]], and [[coding theory]]. The finite fields are completely known, as will be described...
5: ...number|rationals]] and is therefore infinite, all finite fields have [[prime number|prime]] characteristic...
11: There are no other finite fields.
23: If ''F'' is a finite field with ''q'' = ''p''^''n'' elements...
41: ...e fields. This union is also a field, albeit an infinite one. It is the [[algebraic closure]] of each of t...

M-finite thickness (400 bytes)
1: A class of languages has '''M-finite thickness''' if it satisfies both [[MEF-condition...
3: ...implies the existence of a mind change bound, [[M-finite thickness]] does not. For example, let {L_n} be a...

Finite thickness (308 bytes)
1: ...ness''' if for every string ''s'', there are only finite consistent languages in the class. This condition...

Finite difference (1175 bytes)
1: ...hemselves with '''finite differences'''. One is a finite analogue to [[differential calculus]]. See also ...
3: ...]] such as ''(u(x+h)-u(x))/h'' for some small but finite h. Doing this substitution for a large enough num...
5: ... operator can be viewed as a finite part of the infinite [[Taylor series]] of the differential operator.
8: *[[Finite element method]]

Finite impulse response (1664 bytes)
1: A '''finite impulse response''' (FIR) filter is a type of a [...
19: ...ties which sometimes make it preferable to an [[infinite impulse response]] filter:
30: *[[Infinite impulse response]]

Finite field arithmetic (4510 bytes)
1: '''Arithmetic in a [[finite field]]''' is different from standard [[arithmeti...
5: Although elements of a finite field can be expressed in numerical form (i.e., [...
15: In a finite field with characteristic 2, addition and subtrac...
25: ...•" may be used to denote multiplication in a finite field.

Two-way finite state machines (263 bytes)

Thompson group (finite) (418 bytes)
1: ...he sporadic finite simple group ''Th''. For the infinite Thompson groups ''F'', ''T'' and ''V'' see [[Thom...
3: ...sporadic [[classification of finite simple groups|finite simple groups]]. It has 90,745,943,887,872,000

Finite state transducer (6073 bytes)
1: ... '''finite state transducer''' ('''FST''') is a [[finite state machine]] with two tapes.
3: ... recognized. The class of languages generated by finite automata is known as the class of [[regular langu...
5: ...al languages. The class of relations computed by finite state transducers is known as the class of [[rati...
7: Finite State Transducers are typically useful in NLP ([[...
10: Formally, a finite transducer ''T'' is a tuple (''Q'', Σ, &Gam...

Alternating finite automaton (1205 bytes)
1: ...e automaton''' ([[AFA]]) is a [[non-deterministic finite automaton]] whose transitions are divided into ''...
8: ... the transformation of a NFA to a [[deterministic finite automaton]] (DFA). This construction converts an ...

Hereditarily finite set (1385 bytes)
2: ...et is a finite set, the members of which are also finite sets, as are the members of those, and so on.
5: : The empty set is a hereditarily finite set.
6: ...</sub>,...,''a''_''k'' are hereditarily finite, then so is {''a''₁,...,''a''<sub>''k'...
8: The set of all hereditarily finite sets is denoted ''V''_&omega;. If we de...
12: The hereditarily finite sets are a subclass of the [[Von Neumann universe...

Finite element analysis (1348 bytes)
1: ...d representations of discrete regions&mdash;i.e., finite elements. Equations of equilibrium, derived from...

Pro-finite group (5944 bytes)
1: ...ite group]]s; they share many properties with the finite groups.
5: ...y regarded as [[topological group]]s: each of the finite groups carries the [[discrete space|discrete topo...
9: ...oduct of groups|product]] of finite groups is pro-finite.
11: ... to addition): they are the inverse limit of the finite groups '''Z'''/''pⁿ''<b>'''Z'''</b> wh...
13: ...ull]] (1899 - 1971). Interestingly, ''every'' pro-finite group is isomorphic to one arising from Galois th...

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