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Formally, a graph is symmetric with respect to the origin if it is unchanged when reflected across both the x-axis and y-axis.

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## Some Related Sentences

Formally and graph

__Formally__

**,**

**a**vertex cover of

**a**

__graph__G

**is**

**a**set C of vertices such that each edge of G

**is**incident

**to**at least one vertex in C

**.**The set C

**is**said

**to**cover

**the**edges of G

**.**The following figure shows examples of vertex covers in two graphs (

**and**

**the**set C

**is**marked

**with**red ).

__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__

**,**given

**a**

__graph__G

**,**

**a**vertex labeling

**is**

**a**function mapping vertices of G

**to**

**a**set of labels

**.**

__Formally__

**,**

**a**signed

__graph__Σ

**is**

**a**pair ( G

**,**σ ) that consists of

**a**

__graph__G = ( V

**,**E )

**and**

**a**sign mapping or signature σ from E

**to**

**the**sign group

__Formally__

**,**

**a**biased

__graph__Ω

**is**

**a**pair ( G

**,**B ) where B

**is**

**a**linear class of circles ; this by definition

**is**

**a**class of circles that satisfies

**the**theta-graph property mentioned above

**.**

__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 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

**.**

__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 and symmetric

__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__

**,**P

**is**

**a**

__symmetric__polynomial

**,**

**if**for any permutation σ of

**the**subscripts 1

**,**2

**,**..., n one has P ( X < sub > σ ( 1 )</ sub >, X < sub > σ ( 2 )</ sub >, …, X < sub > σ ( n )</ sub >) = P ( X < sub > 1 </ sub >, X < sub > 2 </ sub >, …, X < sub > n </ sub >).

Formally and with

__Formally__speaking

**,**

**a**collation method typically defines

**a**total order on

**a**set of possible identifiers

**,**called sort keys

**,**which consequently produces

**a**total preorder on

**the**set of items of information ( items

__with__

**the**same identifier are not placed in any defined order ).

__Formally__neutral

**and**reluctant

**to**become involved

__with__

**the**great powers except as

**a**last resort

**,**Kuwait turned

**to**

**the**United States

**,**

**the**Soviet Union

**and**Britain for naval protection of its tanker fleet after twenty-one ships were attacked in

**the**gulf since late 1986

**.**

__Formally__introduced in September 1979

**,**Initial samples were released in February 1980

**,**

__with__production chips available over

**the**counter in November

**.**

__Formally__

**,**according

**to**

**the**Constitution

**,**citizens of Turkmenistan have

**the**right

**to**set up political parties

**and**other public associations

**,**acting within

**the**framework of

**the**Constitution

**and**laws

**,**

**and**public associations

**and**groups of citizens have

**the**right

**to**nominate their candidates in accordance

__with__

**the**election law

**.**

__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__

**,**an elliptic function

**is**

**a**function meromorphic on for which there exist two non-zero complex numbers

**and**

__with__( in other words

**,**not parallel ), such that

**and**for all

**.**

__Formally__

**,**

**if**

**is**an open subset of

**the**complex plane

**,**

**a**point of

**,**

**and**

**is**

**a**holomorphic function

**,**then

**is**called

**a**removable singularity for

**if**there exists

**a**holomorphic function which coincides

__with__on

**.**

__Formally__

**,**two variables are inversely proportional ( or varying inversely

**,**or in inverse variation

**,**or in inverse proportion or in reciprocal proportion )

**if**one of

**the**variables

**is**directly proportional

__with__

**the**multiplicative inverse ( reciprocal ) of

**the**other

**,**or equivalently

**if**their product

**is**

**a**constant

**.**

In late 1900s

**the**day that of**the**City was founded**is**Jakin School**is****a**Private School**is**__Formally__Part of Jakin School Board was Grades One through Twelve there**is**no Football field on this school**.**In 1966 When Jakin School was Closed were Sent**to**Blakely-Union Elementary**,**Junior High**,****and**High School ( which later Became Early County High**,**Middle**,****and**Elementary School ). while Carver school was built for African-American students grades One through Twelve**.**although late 1960s**when**Carver school was closed along__with__Kestler School was based in Damascus were sent**to**Washington High & Elementary at Blakely**.**In addition**to**small farm agriculture**,**Jakin's early economic growth resulted from turpentine**.**__Formally__

**,**they are partial derivatives of

**the**option price

__with__

**respect**

**to**

**the**independent variables ( technically

**,**one Greek

**,**gamma

**,**

**is**

**a**partial derivative of another Greek

**,**called delta ).

__Formally__

**,**

**the**problem of supervised pattern recognition can be stated as follows: Given an unknown function (

**the**ground truth ) that maps input instances

**to**output labels

**,**along

__with__training data assumed

**to**represent accurate examples of

**the**mapping

**,**produce

**a**function that approximates as closely as possible

**the**correct mapping

**.**

__Formally__

**the**work

**is**operatic

**,**

__with__

**the**plot advanced entirely through dialogue sung

__with__accompanying music

**.**

__Formally__

**,**

**the**President

**is**elected by

**the**National People's Congress in accordance

__with__Article 62 of

**the**Constitution

**.**

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