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Conversely, a complete subset of a metric space is closed.

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## Some Related Sentences

Conversely and complete

__Conversely__

**,**if the roots

**of**the permanent tooth are more than ⅔

__complete__

**,**the eruption

**of**the permanent tooth will be accelerated

**.**

__Conversely__

**,**some regions such as Nuristan

**,**in the northeast

**,**and Hazarajat

**,**in the central mountains

**of**Afghanistan

**,**were virtually untouched by the fighting

**,**and lived in almost

__complete__independence

**.**

__Conversely__

**,**

**a**

__complete__variety

**is**close to being

**a**projective variety: Chow's lemma states that if X

**is**

**a**

__complete__variety

**,**there

**is**

**a**projective variety Z and

**a**birational morphism Z → X

**.**

__Conversely__

**,**

__complete__dentures or full dentures are worn by patients who are missing all

**of**the teeth in

**a**single arch ( i

**.**e

**.**the maxillary ( upper ) or mandibular ( lower ) arch ).

__Conversely__

**,**in December 2006

**a**University

**of**Cambridge team reported an SCN9A mutation that created

**a**

__complete__" lack

**of**" pain sensation in the family

**of**

**a**Pakistan street performer

**.**

__Conversely__

**,**high powered engines commonly

__complete__

**a**" 4th gear sweep " test in less than 10 seconds

**,**which

**is**not

**a**reliable load condition as compared to operation in the real world

**.**

__Conversely__

**,**actions in the game could remove

**a**character's gained virtues

**,**distancing them from the construction

**of**truth

**,**love

**,**courage and the greater axiom

**of**infinity — all required to

__complete__the game

**.**

__Conversely__

**,**Gaddafi was more interested in

**a**

__complete__merging

**of**Libya and Tunisia into the Arab Islamic Republic

**.**

To

**a**graph G there corresponds**a**signed__complete__graph Σ on the same vertex set**,**whose edges are signed negative if in G and positive if not in G**.**__Conversely__**,**G**is**the subgraph**of**Σ that consists**of**all vertices and all negative edges**.**

Conversely and subset

__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

**.**

* 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__

**,**every Polish

**space**

**is**homeomorphic to

**a**G < sub > δ </ sub >-

__subset__

**of**the Hilbert cube

**.**

__Conversely__

**,**words such as banjee

**,**while well-established in

**a**

__subset__

**of**gay society

**,**have never made the transition to popular use

**.**

Suppose S

**is**an immersed submanifold**of**M**.**If the inclusion map i: S → M**is****closed**then S**is**actually an embedded submanifold**of**M**.**__Conversely__**,**if S**is**an embedded submanifold which**is**also**a****closed**__subset__then the inclusion map**is****closed****.**

Conversely and metric

Equipped with this notion

**of**length**,****a**Riemannian manifold**is****a**__metric__**space****,**meaning that it has**a**distance function d ( p**,**q ) whose value at**a**pair**of**points p and q**is**the distance from p to q**.**__Conversely__**,**the__metric__tensor itself**is**the derivative**of**the distance function ( taken in**a**suitable manner ).__Conversely__

**,**using the last line as

**a**definition one shows that the expression so defined

**is**

**a**connection compatible with the

__metric__

**,**i

**.**e

**.**

**is**

**a**Levi-Civita connection

**.**

Conversely and space

__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__

**,**one might expect that inertial motions

**,**once identified by observing the actual motions

**of**bodies and making allowances for the external forces ( such as electromagnetism or friction ), can be used to define the geometry

**of**

__space__

**,**as well as

**a**time coordinate

**.**

__Conversely__

**,**in the bleak Orwellian world

**of**" The High Ones "— where the Soviets have won the Third World War and gained control

**of**the whole world — the dissidents still have some hope

**,**precisely because

__space__flight has not been abandoned

**.**

__Conversely__

**,**

**a**metrizable

__space__

**is**separable if and only if it

**is**second countable

**,**which

**is**the case if and only if it

**is**Lindelöf

**.**

Given

**a**vector__space__V over**a**field K**,**the span**of****a**set S ( not necessarily finite )**is**defined to be the intersection W**of**all subspaces**of**V which contain S**.**W**is**referred to as the subspace spanned by S**,**or by the vectors in S**.**__Conversely__**,**S**is**called**a**spanning set**of**W**.**__Conversely__

**,**except in dimension 2

**,**if the curvature

**of**

**a**Riemannian manifold has this form for some function K

**,**then the Bianchi identities imply that K

**is**constant and thus that the manifold

**is**( locally )

**a**

__space__form

**.**

__Conversely__

**,**when

**a**record

**is**deleted

**,**later records are moved down so that the free

__space__remains contiguous

**.**

__Conversely__

**,**if X

**is**projective

**,**then the pullback

**of**under the

**closed**immersion

**of**X into

**a**projective

__space__

**is**very ample

**.**

__Conversely__

**,**if X

**is**

**a**Hausdorff

__space__and ker f

**is**

**a**

**closed**set

**,**then the coimage

**of**f

**,**if given the quotient

__space__topology

**,**must also be

**a**Hausdorff

__space__

**.**

Any point x gives rise to

**a**continuous function p < sub > x </ sub > from the one element topological__space__1 ( all subsets**of**which are open ) to the__space__X by defining p < sub > x </ sub >( 1 ) = x**.**__Conversely__**,**any function from 1 to X clearly determines one point: the element that it " points " to**.**__Conversely__

**,**any such one form defines ( via pullback )

**a**G-equivariant horizontal 1-form on P

**,**and the

__space__

**of**principal G-connections

**is**an affine

__space__for this

__space__

**of**1-forms

**.**

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__

**,**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

**.**

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