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Formally, a frame is defined to be a lattice L in which finite meets distribute over arbitrary joins, i. e. every ( even infinite ) subset

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## Some Related Sentences

Formally and frame

__Formally__

**,**this effect

**is**referred

**to**as and

**is**

**a**process whereby the capture

__frame__rate of the camera changes

**over**time

**.**

__Formally__

**,**

**a**

__frame__on

**a**homogeneous space G / H consists of

**a**point

**in**the tautological bundle G → G / H

**.**

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 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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