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Formally, the 4D light field is defined as radiance along rays in empty space.

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## Some Related Sentences

Formally and light

Formally and field

__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

**.**

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__

**,**an inner product

**space**

**is**a vector

**space**V over

**the**

__field__together with an inner product

**,**i

**.**e., with a map

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__

**,**an analytic function ƒ ( z ) of

**the**real or complex variables z < sub > 1 </ sub >,…, z < sub > n </ sub >

**is**transcendental if z < sub > 1 </ sub >, …, z < sub > n </ sub >, ƒ ( z ) are algebraically independent

**,**i

**.**e., if ƒ

**is**transcendental over

**the**

__field__C ( z < sub > 1 </ sub >, …, z < sub > n </ sub >).

__Formally__

**,**a coalgebra over a

__field__K

**is**a vector

**space**C over K together with K-linear maps Δ: C → C ⊗ C and ε: C → K such that

__Formally__

**,**a Hopf algebra

**is**a ( associative and coassociative ) bialgebra H over a

__field__K together with a K-linear map S: H → H ( called

**the**antipode ) such that

**the**following diagram commutes:

__Formally__dedicated "

**as**a memorial to

**the**boys that were " on October 30

**,**1915

**,**Alumni Field and its distinctive " maroon goal-posts on a

__field__of green " were hailed

**in**that evening's edition of

**the**Boston Saturday Evening Transcript

**as**" one of

**the**sights

**in**Boston

**.**

__Formally__

**,**an algebraic function

**in**n variables over

**the**

__field__K

**is**an element of

**the**algebraic closure of

**the**

__field__of rational functions K ( x < sub > 1 </ sub >,..., x < sub > n </ sub >).

__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 and is

__Formally__

**,**

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

__is__identical to

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

__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__

**,**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 defined

__Formally__

**,**

**as**per

**the**2002 Memorandum of Understanding between

**the**BSI and

**the**United Kingdom Government

**,**British Standards are

__defined__

**as**:

__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__

**,**these reside

**in**a complex separable Hilbert space-variously called

**the**" state

**space**" or

**the**" associated Hilbert

**space**" of

**the**system-that

**is**well

__defined__up to a complex number of norm 1 (

**the**phase factor ).

Limits and colimits

**in**a category C are__defined__by means of diagrams**in**C**.**__Formally__**,**a diagram of type J**in**C**is**a functor from J to C:__Formally__

**,**

**the**convex hull may be

__defined__

**as**

**the**intersection of all convex sets containing X or

**as**

**the**set of all convex combinations of points

**in**X

**.**

__Formally__

**,**a unique factorization domain

**is**

__defined__to be an integral domain R

**in**which every non-zero and non-unit x of R can be written

**as**a product ( including an

**empty**product ) of irreducible elements p < sub > i </ sub > of R and a unit u:

__Formally__

**,**a transductive support vector machine

**is**

__defined__by

**the**following primal optimization problem:

__Formally__

**,**bending modulus

**is**

__defined__

**as**

**the**energy required to deform a membrane from its intrinsic curvature to some other curvature

**.**

__Formally__

**,**a constraint satisfaction problem

**is**

__defined__

**as**a triple

**,**where

**is**a set of variables

**,**

**is**a domain of values

**,**and

**is**a set of constraints

**.**

__Formally__

**,**

**the**case where only a subset of parameters

**is**

__defined__

**is**still a composite hypothesis ; nonetheless

**,**

**the**term point hypothesis

**is**often applied

**in**such cases

**,**particularly where

**the**hypothesis test can be structured

**in**such a way that

**the**distribution of

**the**test statistic (

**the**distribution under

**the**null hypothesis ) does not depend on

**the**parameters whose values have not been specified under

**the**point null hypothesis

**.**

__Formally__

**,**

**the**index of H

**in**G

**is**

__defined__

**as**

**the**number of cosets of H

**in**G

**.**( The number of left cosets of H

**in**G

**is**always equal to

**the**number of right cosets

**.**

__Formally__

**,**it

**is**a norm

__defined__on

**the**

**space**of bounded linear operators between two given normed vector spaces

**.**

__Formally__

**,**a cardinal κ

**is**

__defined__to be weakly compact if it

**is**uncountable and for every function f: < sup > 2 </ sup > →

__Formally__

**,**

**the**sets of free and bound names of a process

**in**π – calculus are

__defined__inductively

**as**follows

**.**

__Formally__

**,**an absolute coequalizer of a pair

**in**a category C

**is**a coequalizer

**as**

__defined__above but with

**the**added property that given any functor F ( Q ) together with F ( q )

**is**

**the**coequalizer of F ( f ) and F ( g )

**in**

**the**category D

**.**Split coequalizers are examples of absolute coequalizers

**.**

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