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Conversely every partition of comes from an equivalence relation in this way, according to which if and only if and belong to the same set of the partition.

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## Some Related Sentences

Conversely and every

__Conversely__

**,**

__every__point on

**the**line can be interpreted as a number

**in**

**an**ordered continuum

**which**includes

**the**real numbers

**.**

__Conversely__

**,**

__every__formally real field can be equipped with a compatible total order

**,**that will turn it into

**an**ordered field

**.**

__Conversely__

**,**

__every__preorder is

**the**reachability relationship

**of**a directed graph ( for instance

**,**

**the**graph that has

**an**edge

**from**x

**to**y for

__every__pair ( x

**,**y ) with x ≤ y ).

__Conversely__

**,**though

__every__president

**from**Washington

**to**John Quincy Adams can be definitely assigned membership

**in**

**an**Anglican or Unitarian body

**,**

**the**significance

**of**these affiliations is often downplayed as unrepresentative

**of**their true beliefs

**.**

__Conversely__

**,**birds

**of**prey-which show distinct reverse sexual dimorphism — tend

**to**be monogamous for long periods or mate for life ; some species like

**the**Snail kite will choose new mates

__every__year

**,**polygyny is noted

**in**many Harriers

**and**polyandry has been observed

**in**

**the**Harris ' Hawk ( notable for being

**the**

**only**bird

**of**prey

**to**regularly live

**and**hunt

**in**family

**and**social groups )

**and**

**the**aforementioned Galapagos hawk

**.**

__Conversely__

__every__positive functional φ gives a corresponding inner product < ƒ

**,**g >< sub > φ </ sub > = φ ( g * ƒ ).

__Conversely__

**,**

__every__positive semi-definite matrix is

**the**covariance matrix

**of**some multivariate distribution

**.**

We define Thm ( C )

**to**be**the****set****of**all formulas that are valid**in**C**.**__Conversely__**,****if**X is a**set****of**formulas**,**let Mod ( X ) be**the**class**of**all frames**which**validate__every__formula**from**X**.**__Conversely__

**,**

**if**we pick

__every__member

**of**

**the**

**same**population with property

**and**ask " what proportion

**of**these have property?

__Conversely__

**,**

__every__admissible statistical procedure is either a Bayesian procedure or a limit

**of**Bayesian procedures

**.**

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**.**
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 ).
This ring is

**the**endomorphism ring**of**A**.**__Conversely__**,**__every__ring ( with identity ) is**the**endomorphism ring**of**some object**in**some preadditive category**.**__Conversely__

**,**

__every__Polish space is homeomorphic

**to**a G < sub > δ </ sub >- subset

**of**

**the**Hilbert cube

**.**

__Conversely__

**,**extra lives are earned by collecting heart points

**,**

**which**are earned by defeating enemies or collecting Hearts

**,**with

**an**extra life earned for

__every__100 points earned

**.**

__Conversely__

**the**building can be recovered

**from**

**the**BN pair

**,**so that

__every__BN pair canonically defines a building

**.**

__Conversely__

**,**

**the**following characterization

**of**derived functors holds: given a family

**of**functors R < sup > i </ sup >: A → B

**,**satisfying

**the**above

**,**i

**.**e

**.**mapping short exact sequences

**to**long exact sequences

**,**such that for

__every__injective object I

**of**A

**,**R < sup > i </ sup >( I )= 0 for

__every__positive i

**,**then these functors are

**the**right derived functors

**of**R < sup > 0 </ sup >.

Conversely and partition

__Conversely__

**,**any surjection between sets determines a

__partition__on its domain

**,**

**the**

**set**

**of**preimages

**of**singletons

**in**

**the**codomain

**.**

__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 and comes

__Conversely__

**,**

**in**

**the**Jahwist source

**,**Balaam arrives

**,**

**the**spirit

**of**God

__comes__upon him

**,**

**and**he simply delivers a blessing

**and**a prophecy

**,**

**in**succession

**.**

Conversely and from

__Conversely__

**,**

**the**existence

**of**Bletchley Park

**,**

**and**

**of**

**the**decrypting achievements there

**,**was never officially shared with

**the**Soviet Union

**,**whose war effort would have greatly benefited

__from__regular decrypting

**of**German messages relating

**to**

**the**Eastern Front

**.**

__Conversely__

**the**equilibrium position is said

**to**be " far

**to**

**the**left "

**if**hardly any product is formed

__from__

**the**reactants

**.**

__Conversely__

**,**some men have cross-dressed

**to**escape

__from__mandatory military service or as a disguise

**to**assist

**in**political or social protest

**,**as men did

**in**

**the**Rebecca Riots

**.**

__Conversely__

**,**

**an**absence

**of**secure cycle-parking is a recurring complaint by cyclists

__from__cities with low modal share

**of**cycling

**.**

__Conversely__

**,**some organisms have special techniques

**to**prevent crystallization

__from__occurring

**,**such as antifreeze proteins

**.**

__Conversely__

**,**computer implementations are significant

**in**applying ideas

__from__discrete mathematics

**to**real-world problems

**,**such as

**in**operations research

**.**

__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__

**,**

**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

**.**

__Conversely__

**,**

**the**defensive team will know that

**the**offense has

**to**cover a good deal

**of**ground

**in**a single play

**,**will expect a forward pass

**,**

**and**will know

__from__earlier study something

**of**

**the**propensities

**of**

**the**offense they face

**.**

__Conversely__

**,**when

**the**carbon dioxide levels

**in**

**the**blood decrease ( i

**.**e.,

**in**

**the**lung capillaries ), carbon dioxide

**and**protons are released

__from__hemoglobin

**,**increasing

**the**oxygen affinity

**of**

**the**protein

**.**

__Conversely__

**,**both owners

**of**capital

**and**labor profit

**in**real terms

__from__

**an**increase

**in**

**the**capital endowment

**.**

__Conversely__

**,**when a piece

**of**land is separated

__from__

**the**mainland by a man-made canal

**,**for example

**the**Peloponnese by

**the**Corinth Canal

**,**it is generally not considered

**an**island

**.**

__Conversely__

**,**

**the**reasons internalist answers

**the**question

**in**

**the**negative (" No

**,**Sasha does not have a reason not

**to**steal

__from__that poor person

**,**though others might .").

__Conversely__

**,**JPL

**,**through

**the**Caltech lawyers representing

**the**laboratory

**,**allege that Coppedge's termination was simply due

**to**budget cuts

**and**his demotion

__from__team lead was because

**of**harassment complaints

**and**

__from__on-going conflicts with his co-workers

**.**

__Conversely__

**,**Trotsky held that socialism

**in**one country would economically constrain

**the**industrial development

**of**

**the**USSR

**,**

**and**thus required assistance

__from__

**the**new socialist countries that had arisen

**in**

**the**developed world

**,**

**which**was essential for maintaining Soviet democracy

**,**

**in**1924 much undermined by civil war

**and**counter-revolution

**.**

__Conversely__

**,**

**the**cultural divergence at

**the**border became sharper:

**in**theory

**,**a uniform French identity extends

__from__

**the**Atlantic coast

**to**

**the**Rhine

**,**

**and**on

**the**other bank

**of**

**the**Rhine

**,**a uniform German identity begins

**.**

__Conversely__

**,**air rising

__from__

**the**northern surface

**of**

**the**Earth ( creating a region

**of**low pressure ) tends

**to**draw air toward it

**in**a counterclockwise pattern

**.**

__Conversely__

**,**Walter Burkert suggests that

**the**Hellene cult worship

**of**Poseidon as a horse god may be connected

**to**

**the**introduction

**of**

**the**horse

**and**war-chariot

__from__Anatolia

**to**Greece around 1600 BC

**.**

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