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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 ).

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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__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.

__Conversely__

**,**

__every__formally real field can be equipped

**with**

**a**compatible total order

**,**

**that**will turn it into

**an**ordered field.

__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 preorder

__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__we have

**a**b if and only if

**a**< b or

**a**~ b. This

**is**

**the**reason

**for**using

**the**notation ""; "≤" can be confusing

**for**

**a**

__preorder__

**that**

**is**not anti-symmetric

**,**it may suggest

**that**

**a**

**≤**b implies

**that**

**a**< b or

**a**

Conversely and is

__Conversely__

**,**if he gives

**a**heavy rating

**to**his own reading

**,**and finds more accurate facts in it than in

**the**others

**,**

**a**point

__is__chalked up

**for**

**the**intrinsic

**,**objective meaningfulness

**of**this type

**of**mediumistic material.

__Conversely__

**,**

**an**adiabatic process

**that**

__is__irreversible and extracts no work

__is__in

**an**isenthalpic process

**,**such as viscous drag

**,**progressing towards

**a**nonnegative change in entropy.

__Conversely__

**,**British English favours fitted as

**the**past tense

**of**fit generally

**,**whereas

**the**preference

**of**American English

__is__more complex: AmEng prefers fitted

**for**

**the**metaphorical sense

**of**having made

**an**object " fit "

**(**i. e., suited

**)**

**for**

**a**purpose ; in spatial transitive contexts

**,**AmEng uses fitted

**for**

**the**sense

**of**having made

**an**object conform

**to**

**an**unchanged object

**that**it surrounds

**(**e. g., " fitted X around Y ") but fit

**for**

**the**sense

**of**having made

**an**object conform

**to**

**an**unchanged object

**that**surrounds it

**(**e. g., " fit X into Y "); and

**for**

**the**spatial senses

**(**both intransitive and transitive

**)**

**of**having been matching

**with**respect

**to**contour

**,**

**with**no alteration

**of**either object implied

**,**AmEng prefers fit (" The clothes fit.

__Conversely__

**the**use

**of**true brass seems

**to**have declined in Western Europe during this period in favour

**of**gunmetals and other mixed alloys but by

**the**end

**of**

**the**first Millennium AD brass artefacts are found in Scandinavian graves in Scotland

**,**brass was being used in

**the**manufacture

**of**coins in Northumbria and there

__is__archaeological and historical evidence

**for**

**the**production

**of**brass in Germany and The Low Countries areas rich in calamine ore which would remain important centres

**of**brass making throughout

**the**medieval period

**,**especially Dinant – brass objects are still collectively known as dinanterie in French.

__Conversely__

**,**if

**a**Boolean ring A

__is__given

**,**we can turn it into

**a**Boolean algebra by defining

**x**∨

**y**:=

**x**+

**y**+

**(**

**x**·

**y**

**)**and

**x**∧

**y**:=

**x**·

**y**.

__Conversely__

**,**because space

__is__expanding

**,**and more distant objects are receding ever more quickly

**,**light emitted by us today may never " catch up "

**to**very distant objects.

__Conversely__

**,**modern biological sciences

**(**including even concepts such as molecular ecology

**)**are intimately entwined and dependent on

**the**methods developed through biotechnology and what

__is__commonly thought

**of**as

**the**life sciences industry.

__Conversely__

**,**if

**the**second theory

__is__correct

**,**then

**the**Athenians were merely reacting

**to**

**the**Persians attacking them.

__Conversely__

**the**equilibrium position

__is__said

**to**be " far

**to**

**the**left " if hardly any product

__is__formed

**from**

**the**reactants.

__Conversely__

**,**

**the**islands do not receive

**the**upwellings

**(**cold streams

**)**

**that**affect

**the**West African coast

**,**so

**the**air temperature

__is__cooler than in Senegal

**,**but

**the**sea

__is__actually warmer

**,**because

**the**orographic relief

**of**some islands

**,**as Sao Miguel

**with**steep mountains

**,**cover it

**with**rich woods and luxuriant vegetation where

**the**dense moisture condense and soak

**the**plants

**,**rocks

**,**soil

**,**logs

**,**moss etc.

__Conversely__in francophone Canada

**,**one hundredth

**of**

**a**Canadian dollar

__is__informally called

**a**sou

**(**penny ), though cent

__is__official in both English and French.

__Conversely__

**,**

**an**absence

**of**secure cycle-parking

__is__

**a**recurring complaint by cyclists

**from**cities

**with**low modal share

**of**cycling.

* 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.0.112 seconds.