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Formally, the word is applied to persons who are publicly accepted in a recognised capacity, such as professional employment, graduation from a course of study, etc., to give critical commentaries in one or any of a number of specific fields of public or private achievement or endeavour.

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## Some Related Sentences

Formally and word

**a**< sub > i </ sub >,

**a**< sub > i + 1 </ sub >,..., which

**is**

**a**suffix

**of**w

**.**

__Formally__

**,**

**the**satisfaction relation between

**a**

__word__and an LTL formula

**is**defined

**as**follows:

__Formally__

**,**this means classifying finitely generated groups with their

__word__metric up

**to**quasi-isometry

**.**

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 applied

__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 and who

__Formally__

**the**Prince-Electors elected

**a**King

**of**

**the**Romans

**,**

__who__was elected

**in**Germany but became Holy Roman Emperor only when crowned by

**the**Pope

**.**

__Formally__declared an enemy

**of**

**the**State

**,**Caesar pursued

**the**senatorial party

**,**now led by Pompey

**,**

__who__abandoned

**the**city

**to**raise arms

**in**Greece

**,**with Cato among his companions

**.**

__Formally__

**the**Vice-President was appointed by

**the**Governor-General on

**the**" nomination "

**of**

**the**President

**of**

**the**Executive Council

**,**but by convention

**the**Governor-General could not refuse

**to**appoint

**a**Vice-President

__who__

**the**President had selected

**.**

__Formally__

**,**

**the**role

**of**

**the**Executive Council was

**to**" aid and advise "

**the**Governor-General

__who__would exercise

**the**executive authority on behalf

**of**

**the**King

**.**

__Formally__introduced

**in**1991

**,**Gut Recordings was founded by Guy Holmes

**,**

__who__had been Head

**of**Promotions at Island Records

**.**

__Formally__this mission was declared

**to**be only

**in**pursuit

**of**

**the**Russian vessels and ammunition taken

**to**Anzali by

**the**White Russian counter-revolutionary General Denikin

**,**

__who__had been given asylum by British forces

**in**Anzali

**.**

__Formally__

**,**

**the**person

__who__directly draws

**the**funds ("

**the**payee ") instructs his

**or**her bank

**to**collect ( i

**.**e

**.,**debit ) an amount directly

**from**another's ("

**the**payer's ") bank account designated by

**the**payer and pay those funds into

**a**bank account designated by

**the**payee

**.**

Formally and are

However

**,**shortly after this positive result**,**Kurt Gödel published On__Formally__Undecidable Propositions**of**Principia Mathematica and Related Systems ( 1931 ), showing that**in****any**sufficiently strong axiomatic system there__are__true statements which cannot be proved**in****the**system**.**__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 ).

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__

**,**collective noun forms

**such**

**as**“

**a**group

**of**people ”

__are__represented by second-order variables

**,**

**or**by first-order variables standing for sets ( which

__are__well-defined objects

**in**mathematics and logic ).

__Formally__

**,**we

__are__given

**a**set

**of**hypotheses and

**a**set

**of**manifestations ; they

__are__related by

**the**domain knowledge

**,**represented by

**a**function that takes

**as**an argument

**a**set

**of**hypotheses and gives

**as**

**a**result

**the**corresponding set

**of**manifestations

**.**

__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

**.**

__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__speaking**,**this then satisfies**the**premises**of**an axiom**of**well-founded induction**,**which asserts that these two conditions__are__sufficient for**the**proposition**to**hold for all x**.**__Formally__

**,**

**the**outcomes Y < sub > i </ sub >

__are__described

**as**being Bernoulli-distributed data

**,**where each outcome

**is**determined by an unobserved probability p < sub > i </ sub > that

**is**

**specific**

**to**

**the**outcome at hand

**,**but related

**to**

**the**explanatory variables

**.**

__Formally__this approximation

**is**founded on

**the**variational principle

**,**valid for Hamiltonians that

__are__bounded

**from**below

**.**

__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__most

**of**these approaches

__are__similar

**to**an artificial neural network

**,**

**as**inputs

**to**

**a**node

__are__summed up and

**the**result serves

**as**input

**to**

**a**sigmoid function

**,**e

**.**g

**.,**but proteins do often control gene expression

**in**

**a**synergistic

**,**i

**.**e

**.**non-linear

**,**way

**.**

__Formally__

**,**

**the**sets

**of**free and bound names

**of**

**a**process

**in**π – calculus

__are__defined inductively

**as**follows

**.**

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