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Formally, a finite game in extensive form is a structure

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## Some Related Sentences

Formally and finite

__Formally__

**,**

**a**frame

**is**defined to be

**a**lattice L

**in**which

__finite__meets distribute over arbitrary joins

**,**i. e. every ( even infinite ) subset

__Formally__

**,**we start with

**a**category C with

__finite__products ( i. e. C has

**a**terminal object 1 and any two objects of C have

**a**product ).

__Formally__

**,**the question of whether the universe

**is**infinite or

__finite__

**is**whether it

**is**an unbounded or bounded metric space.

__Formally__

**,**an iterated function system

**is**

**a**

__finite__set of contraction mappings on

**a**complete metric space.

__Formally__

**,**the

**game**( coalitional

**game**) consists of

**a**

__finite__set of players

**,**called the grand coalition

**,**and

**a**characteristic function denotes the power set of .</ ref > from the set of all possible coalitions of players to

**a**set of payments that satisfies.

__Formally__

**,**

**a**system

**is**said to be observable if

**,**for any possible sequence of state and control vectors

**,**the current state can be determined

**in**

__finite__time using only the outputs ( this definition

**is**slanted towards the state space representation ).

__Formally__

**,**given

**a**

__finite__set X

**,**

**a**collection C of subsets of X

**,**all of size n

**,**has Property B if we can partition X into two disjoint subsets Y and Z such that every set

**in**C meets both Y and Z.

__Formally__

**,**we define

**a**bad field as

**a**

**structure**of the

**form**( K

**,**T ), where K

**is**an algebraically closed field and T

**is**an infinite

**,**proper

**,**distinguished subgroup of K

**,**such that ( K

**,**T )

**is**of

__finite__Morley rank

**in**its full language.

__Formally__

**,**

**a**deterministic

__finite__automaton may be defined by the tuple where

**is**the set of states of the automaton

**,**

**is**the set of input symbols

**,**

**is**the transition function that takes

**a**state and an input symbol to

**a**new state

**,**

**is**the initial state of the automaton

**,**and

**is**the set of accepting or final states of the automaton.

__Formally__

**,**

**a**Markov partition

**is**used to provide

**a**

__finite__cover for the smooth system ; each set of the cover

**is**associated with

**a**single symbol

**,**and the sequences of symbols result as

**a**trajectory of the system moves from one of the covering sets to another.

__Formally__

**,**assuming our intuition from the

__finite__dimensional case carries over into the infinite dimensional setting

**,**the measure should then be equal to

__Formally__

**,**the upper density of

**a**graph G

**is**the infimum of the values α such that the

__finite__subgraphs of G with density α have

**a**bounded number of vertices.

Formally and game

__Formally__

**,**the situation has the characteristics of

**a**prisoner's dilemma

__game__that

**is**played repeatedly between the same partners

**,**and

**in**this case " defection "-jumping the queue-would not be advantageous.

Formally and form

__Formally__

**,**this means that the probability density functions or probability mass functions

**in**this class have the

__form__

__Formally__known as the " Six and A Half Point Pole "

__form__

**,**this

**is**the second to last

__form__of the system.

__Formally__incorporated

**in**the 1890s

**,**Shelton's municipal government

**is**run

**in**the Mayor / Commission

__form__.

__Formally__

**,**the singular value decomposition of an m × n real or complex matrix M

**is**

**a**factorization of the

__form__

__Formally__

**,**Minkowski space

**is**

**a**four-dimensional real vector space equipped with

**a**nondegenerate

**,**symmetric bilinear

__form__with signature < tt >(−,+,+,+)</ tt > ( Some may also prefer the alternative signature < tt >(+,−,−,−)</ tt >;

**in**general

**,**mathematicians and general relativists prefer the former while particle physicists tend to use the latter.

"

__Formally__**,**the earliest poems show the influence of conventional poetic practice**,**yet by The Tennis Court Oath**a**much more revolutionary engagement with__form__appears.__Formally__

**,**

**a**squeeze preserves the hyperbolic metric expressed

**in**the

__form__;

**in**

**a**different coordinate system.

__Formally__

**,**

**a**graph rewriting system usually consists of

**a**set of graph rewrite rules of the

__form__

**,**with being called pattern graph ( or left-hand side ) and being called replacement graph ( or right-hand side of the rule ).

Formally and is

__Formally__organized vocational programs supported by federal funds allow high school students to gain experience

**in**

**a**field of work which

__is__likely to lead to

**a**full-time job on graduation.

__Formally__

**,**the set of all context-free languages

__is__identical to the set of languages accepted by pushdown automata ( PDA ).

More rigorously

**,**the divergence of**a**vector field F at**a**point p__is__defined as the limit of the net flow of F across the smooth boundary of**a**three dimensional region V divided by the volume of V as V shrinks to p.__Formally__**,**__Formally__

**,**the base

__is__known as Naval Support Facility Diego Garcia ( the US activity ) or Permanent Joint Operating Base ( PJOB ) Diego Garcia ( the UK's term ).

__Formally__

**,**there

__is__

**a**clear distinction: " DFT " refers to

**a**mathematical transformation or function

**,**regardless of how it

__is__computed

**,**whereas " FFT " refers to

**a**specific family of algorithms for computing DFTs.

__Formally__

**,**oxidation state

__is__the hypothetical charge that an atom would have if all bonds to atoms of different elements were 100 % ionic.

__Formally__

**,**an inner product space

__is__

**a**vector space V over the field together with an inner product

**,**i. e., with

**a**map

__Formally__

**,**if M

__is__

**a**set

**,**the identity function f on M

__is__defined to be that function with domain and codomain M which satisfies

*

__Formally__**,**when working over the reals**,**as here**,**this__is__accomplished by considering the limit as ε → 0 ; but the " infinitesimal " language generalizes directly to Lie groups over general rings.__Formally__

**,**

**a**profinite group

__is__

**a**Hausdorff

**,**compact

**,**and totally disconnected topological group: that

__is__

**,**

**a**topological group that

__is__also

**a**Stone space.

__Formally__

**,**this sharing of dynamics

__is__referred to as universality

**,**and systems with precisely the same critical exponents are said to belong to the same universality class.

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