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Conversely, any surjection between sets determines a partition on its domain, the set of preimages of singletons in the codomain.

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## Some Related Sentences

Conversely and any

__Conversely__

**,**

**a**subset R defines

**a**binary function if and only if

**,**for

__any__x

**in**X and y

**in**Y

**,**there exists

**a**unique z

**in**Z such that ( x

**,**y

**,**z ) belongs to R

**.**

__Conversely__

**the**equilibrium position is said to be " far to

**the**left " if hardly

__any__product is formed from

**the**reactants

**.**

* The spectrum

**of**__any__bounded linear operator**on****a**Banach space is**a**nonempty compact subset**of****the**complex numbers C**.**__Conversely__**,**__any__compact subset**of**C arises**in**this manner**,**as**the**spectrum**of**some bounded linear operator**.**__Conversely__

**,**there are other stars that never rise above

**the**horizon

**,**as seen from

__any__given point

**on**

**the**Earth's surface ( except exactly

**on**

**the**equator ).

__Conversely__

**,**Derek Bickerton and others argue that

**the**advent

**of**abstract words provided

**a**mental basis for analyzing higher-order relations

**,**and that

__any__communication system that remotely resembles human language utterly relies

**on**cognitive architecture that co-evolved alongside language

**.**

__Conversely__

**,**

**a**person may feel like he belongs to one state without having

__any__legal relationship to it

**.**

__Conversely__

**,**

**the**interior

**of**

**the**box has

**a**constant

**,**zero potential energy .< ref > Actually

**,**

__any__constant

**,**finite potential can be specified within

**the**box

**.**

__Conversely__

**,**extremely thin jewelry can cause

**the**same tearing

**in**what is commonly referred to as

**the**" cheese cutter effect ", either during sudden torsion or over

**a**long period

**of**wearing

**,**especially if

**the**thin jewelry bears

__any__weight

**.**

__Conversely__

**,**

__any__Hermitian positive semidefinite matrix M can be written as M = A < sup >*</ sup > A ; this is

**the**Cholesky decomposition

**.**

__Conversely__

**,**if

**a**double sharp were added to

__any__other note not containing

**a**sharp or flat as indicated by

**the**key signature then

**the**note will be raised two semitones or

**a**whole step with respect to

**the**chromatic scale

**.**

__Conversely__

**,**supplementation with L-phenylalanine

**,**L-tyrosine

**,**L-DOPA

**,**or

__any__

**of**

**the**cofactors will increase their respective concentrations

**.**

__Conversely__

**,**

__any__choice

**of**μ

**,**full rank matrix U

**,**and positive diagonal entries Λ < sub > i </ sub > yields

**a**non-singular multivariate normal distribution

**.**

__Conversely__

**,**

**the**influence

**of**

**the**data at

__any__given point

**on**

**the**initial line propagates with

**the**finite velocity c: there is no effect outside

**a**triangle through that point whose sides are characteristic curves

**.**

__Conversely__

**,**given

__any__harmonic function

**in**two dimensions

**,**it is

**the**real part

**of**an analytic function

**,**at least locally

**.**

__Conversely__

**,**if

**the**Turing Machine is expected polynomial-time ( for

__any__given x ), then

**a**considerable fraction

**of**

**the**runs must be polynomial-time bounded

**,**and

**the**coin sequence used

**in**such

**a**run will be

**a**witness

**.**

It is

**a**fact that**the**ring is**a**principal ideal ring ; that is**,**for__any__ideal I**in****,**there exists an integer n**in**I such that every element**of**I is**a**multiple**of**n**.**__Conversely__**,****the****set****of**all multiples**of**an arbitrary integer n is necessarily an ideal**,**and is usually denoted by ( n ).

Conversely and between

__Conversely__

**,**

**in**more recent times

**,**Russian existentialist philosopher Lev Shestov viewed Job as

**the**embodiment

**of**

**the**battle

__between__reason ( which offers general and seemingly comforting explanations for complex events ) and faith

**in**

**a**personal god

**,**and one man's desperate cry for him

**.**

)

__Conversely__**,**it is often helpful to use**the**geometry**of**Cartesian coordinates**in**two or three dimensions to visualize algebraic relationships__between__two or three**of**many non-spatial variables**.**__Conversely__

**,**if

**the**source

**of**waves is moving away from

**the**observer

**,**each wave is emitted from

**a**position farther from

**the**observer than

**the**previous wave

**,**so

**the**arrival time

__between__successive waves is increased

**,**reducing

**the**frequency

**.**

That is

**,****the**motivational internalist believes that there is an internal**,**necessary connection__between__one's conviction that X ought to be done and one's motivation to do X**.**__Conversely__**,****the**motivational externalist ( or moral externalist ) claims that there is no necessary**,**internal connection__between__moral convictions and moral motives**.**__Conversely__

**,**from

**a**partial order

**on**

**a**

**partition**

**of**

**a**

**set**S one can construct

**a**preorder

**on**S

**.**There is

**a**1-to-1 correspondence

__between__preorders and pairs (

**partition**

**,**partial order ).

__Conversely__

**,**Per Christiansen found that using skull morphology allowed him to identify

**the**subspecies krugeri

**,**nubica

**,**persica

**,**and senegalensis

**,**while there was overlap

__between__bleyenberghi with senegalensis and krugeri

**.**

__Conversely__

**,**mapping

**the**data flow

__between__

**the**components

**determines**

**the**logical topology

**of**

**the**network

**.**

__Conversely__

**,**

**a**particular map

__between__particular objects may be called an unnatural isomorphism ( or " this isomorphism is not natural ") if

**the**map cannot be extended to

**a**natural transformation

**on**

**the**entire category

**.**

__Conversely__

**the**Jupiter-family comets are believed to originate

**in**

**the**Kuiper belt

**,**

**a**flat disc

**of**icy debris

__between__30 AU ( Neptune's orbit ) and 50 AU from

**the**Sun (

**in**

**the**scattered disc ).

__Conversely__

**,**reviewers sharply criticized " long and frequent loading "

__between__areas and battles due to poor emulation

**.**

As stated earlier

**,**an adjunction__between__categories C and D gives rise to**a**family**of**universal morphisms**,**one for each object**in**C and one for each object**in**D**.**__Conversely__**,**if there exists**a**universal morphism to**a**functor G: C → D from every object**of**D**,**then G has**a**left adjoint**.**__Conversely__

**,**if

**a**ship is to safely pass under

**a**low bridge or overhead power cable

**,**

**the**mariner must know

**the**minimum clearance

__between__

**the**masthead and

**the**obstruction

**,**which will occur at high tide

**.**

__Conversely__

**,**

**the**north (

**on**

**the**" rive droite ") has

**a**gentle depression to about above sea level ( at Saint-Marceau )

__between__

**the**Loire and

**the**Loiret

**,**designated

**a**" zone inondable " ( flood-risk zone ).

__Conversely__

**,**it is hard to believe

**,**given

**the**length and intensity

**of**

**the**struggle

__between__Máel Sechnaill and Brian

**,**that

**the**High King would surrender his title without

**a**fight

**.**

__Conversely__

**,**British Decca retained

**a**non-reciprocal right to license and issue American Decca recordings

**in**

**the**UK

**on**their Brunswick Records ( US Decca recordings ) and Coral Records ( US Brunswick and Coral recordings ) labels ; this arrangement continued through 1967 when

**a**UK branch

**of**MCA was established utilising

**the**MCA Records label

**,**with distribution fluctuating

__between__British Decca and other English companies over time

**.**

__Conversely__

**,**there seems to be

**a**negative correlation

__between__maximum sunspot activity and Es activity

**in**Australasia

**.**

__Conversely__

**,**there seems to be

**a**negative correlation

__between__maximum sunspot activity and Es activity

**in**Australasia

**.**

__Conversely__

**,**

**the**lower

**the**frequency

**of**recombination

__between__

**the**markers

**,**

**the**smaller

**the**physical distance

__between__them

**.**

__Conversely__

**,**it took more than 41 seasons after Neun's play before Ron Hansen's performed

**the**feat

**on**July 30

**,**1968

**,**marking

**the**longest span

__between__unassisted triple plays

**.**

__Conversely__

**,**

**the**most recent addition

**of**What Witches Do ( 2010 ) includes previously published interviews

__between__Sanders and Farrar

**.**

__Conversely__

**,**

**a**voltage follower inserted

__between__

**a**small load resistance and

**a**driving stage presents

**a**large load to

**the**driving stage

**,**an advantage

**in**coupling

**a**voltage signal to

**a**small load

**.**

__Conversely__

**,**where extra strength but

**the**smooth drive

**of**

**a**smaller pitch is required

**,**

**the**chain may be " siamesed "; instead

**of**just two rows

**of**plates

**on**

**the**outer sides

**of**

**the**chain

**,**there may be three (" duplex "), four (" triplex "), or more rows

**of**plates running parallel

**,**with bushings and rollers

__between__each adjacent pair

**,**and

**the**same number

**of**rows

**of**teeth running

**in**parallel

**on**

**the**sprockets to match

**.**

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