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Formally, a detailed balanced process is the one on which the probability to be in the state x and transit to x ' must be the same as to be in the state x ' and transit to x.

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## Some Related Sentences

Formally and process

__Formally__

**,**

**the**appointment remains

**a**royal

**one**made

**on**

**the**advice of

**the**Lord Chancellor

**,**but he / she no longer comments

**on**individual applications

**,**

**and**merely supervises

**the**

__process__

**and**reviews

**the**panel's recommendations

**in**general terms ( satisfying himself / herself that

**the**

__process__

**as**operated

**is**fair

**and**efficient ).

__Formally__

**,**

**the**

__process__

**is**

**one**of progressive development

**,**divided into three stages of increasingly complexity

**.**

__Formally__

**,**this effect

**is**referred

**to**

**as**

**and**

**is**

**a**

__process__whereby

**the**capture frame rate of

**the**camera changes over time

**.**

__Formally__

**,**let

**be**

**a**stochastic

__process__

**and**let represent

**the**cumulative distribution function of

**the**joint distribution of at times

**.**

__Formally__

**,**

**the**sets of free

**and**bound names of

**a**

__process__

**in**π – calculus are defined inductively

**as**follows

**.**

__Formally__

**,**

**a**deterministic algorithm computes

**a**mathematical function ;

**a**function has

**a**unique value for any given input

**,**

**and**

**the**algorithm

**is**

**a**

__process__that produces this particular value

**as**output

**.**

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 one

__Formally__

**,**

**a**function ƒ

**is**real analytic

**on**an open set D

**in**

**the**real line if for any

**x**< sub > 0 </ sub >

**in**D

__one__can write

__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__known

**as**

**the**Kingfisher Pier

**,**

**the**Pier at Garden City

**is**

__one__of

**the**most renowned attractions

**in**Garden City

**,**SC

**.**

__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

**.**

__Formally__speaking

**,**

**the**strategy pattern defines

**a**family of algorithms

**,**encapsulates each

__one__

**,**

**and**makes them interchangeable

**.**

__Formally__

**,**however

**,**there

**is**an examination board consisting of

**a**candidate's teachers / examiners

**,**

**the**headmaster / headmistress

**and**

__one__external Vorsitzende ( r ) ( head ), usually

**a**high-ranking school official or

**the**head of another school

**.**

__Formally__

**,**an nth order approximation

**is**

__one__where

**the**order of magnitude of

**the**error

**is**at most

**,**or

**in**terms of big O notation

**,**

**the**error

**is**

__Formally__

**a**congruence subgroup

**is**

__one__that contains Γ ( N ) for some N

**,**

**and**

**the**least such N

**is**

**the**level or Stufe of

**the**subgroup

**.**

__Formally__

**,**

**a**rigged Hilbert space consists of

**a**Hilbert space H

**,**together with

**a**subspace Φ

**which**carries

**a**finer topology

**,**that

**is**

__one__for

**which**

**the**natural inclusion

__Formally__

**,**if R

**is**

**a**Noetherian ring

**and**I

**is**

**a**principal

**,**proper ideal of R

**,**then I has height at most

__one__

**.**

__Formally__

**,**knowing

**the**step response of

**a**dynamical system gives information

**on**

**the**stability of such

**a**system

**,**

**and**

**on**its ability

**to**reach

__one__stationary

**state**when starting from another

**.**

__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__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__

**,**given two partially ordered sets ( S

**,**≤)

**and**( T

**,**≤),

**a**function f: S → T

**is**an order-embedding if f

**is**both order-preserving

**and**order-reflecting

**,**i

**.**e

**.**for all

**x**

**and**y

**in**S

**,**

__one__has

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