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Conversely, every point on the line can be interpreted as a number in an ordered continuum which includes the real numbers.

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## Some Related Sentences

Conversely and every

__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__

**,**

__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 point

__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__

**,**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__

**,**Salinger is reported to have considered

**the**story

**a**" high

__point__of his writing " and made tentative steps to have it reprinted ; these efforts came to nothing however

**.**

__Conversely__

**,**observers looking toward

**the**same

__point__

**on**

**an**infinite-radius celestial sphere will

**be**looking along parallel lines

**,**and observers looking toward

**the**same great circle

**,**along parallel planes

**.**

)

__Conversely__**,****a**critical__point__x of f**can****be**analysed by considering**the**second derivative of f at x:__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__

**,**

**a**disease that is easily transmitted but has

**a**short duration might spread widely during 2002 but is likely to have

**a**low prevalence at any given

__point__

**in**2003 ( due to its short duration ) but

**a**high incidence during 2002 (

**as**many people develop

**the**disease ).

__Conversely__

**,**

**a**spherical wave generated by

**a**

__point__source placed

**in**

**the**focus is transformed into

**a**plane wave propagating

**as**

**a**collimated beam along

**the**axis

**.**

__Conversely__

**,**

**an**incoming plane wave parallel to

**the**axis will

**be**focused to

**a**

__point__at

**the**focal

__point__

**.**

__Conversely__

**,**

**a**

__point__source at

**the**focus of

**a**parabolic mirror will produce

**a**beam of collimated light creating

**a**Collimator

**.**

__Conversely__

**,**

**a**system past

**the**critical

__point__will experience too many blackouts leading to system-wide upgrades moving it back below

**the**critical

__point__

**.**

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**.**
A tangent plane

**can****be**" rolled " along S**,**and**as**it does so**the**__point__of contact traces out**a**curve**on**S**.**__Conversely__**,**given**a**curve**on**S**,****the**tangent plane**can****be**rolled along that curve**.****which**are linearly independent at each

__point__q

**in**U

**.**

__Conversely__

**,**given such

**a**coframe

**,**there is

**a**unique moving frame X < sub > 1 </ sub >, X < sub > 2 </ sub >, ..., X < sub > n </ sub >

**which**is dual to it

**,**i

**.**e., satisfies

**the**duality relation α < sup > i </ sup >( X < sub > j </ sub >) = δ < sup > i </ sup >< sub > j </ sub >, where δ < sup > i </ sup >< sub > j </ sub > is

**the**Kronecker delta function

**on**U

**.**

__Conversely__

**the**normal curvature is

**the**norm of

**the**projection of

**on**

**the**normal bundle to

**the**submanifold at

**the**

__point__considered

**.**

)

__Conversely__**,**given**a**__point__**,****the**logarithm gives**a**__point__**in****the**tangent space ( roughly speaking**,****as**again**,**one must transport from**the**origin to__point__; for details**,**refer to original sources ).

Conversely and on

__Conversely__

**,**

**a**standard

**line**

__on__

**which**voice service has been unsubscribed ( such

**as**

**an**ADSL dry loop ) may still accept calls to

**the**958 test exchange but not allow calls to standard

**numbers**

**.**

__Conversely__

**,**paintings

**which**came out of his workshop that were not necessarily physically worked

__on__by Cuyp but merely overseen by him technically

**,**were marked with A

**.**C

**.**to show that it was his instruction

**which**saw

**the**paintings ’ completion

**.**

__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__

**,**Fleet Captain Honoré Ganteaume later reported

**the**cause

**as**

**an**explosion

__on__

**the**quarterdeck

**,**preceded by

**a**series of minor fires

__on__

**the**main deck among

**the**ship's boats

**.**

* 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__

**,**if ƒ: C → C is

**a**function

**which**is differentiable when regarded

**as**

**a**function

__on__R < sup > 2 </ sup >, then ƒ is complex differentiable if and only if

**the**Cauchy – Riemann equations hold

**.**

__Conversely__

**the**car is stopped by releasing pressure

__on__

**the**cable ( with or without completely detaching ) and applying

**the**brakes

**.**

__Conversely__

**,**any surjection between sets determines

**a**partition

__on__its domain

**,**

**the**set of preimages of singletons

**in**

**the**codomain

**.**

__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__**,**Pat Graham of Chicago Reader disliked**the**mix of horror and comedy**,**writing**in**his review that " The pop-up humor and smirkiness suggest Raimi's aspiring to**the**fashionable company of**the**brothers Coen**,**though__on__**the**basis of this strained effort I'd say he's overshot**the**mark**.**__Conversely__

**,**

**in**functional code

**,**

**the**output value of

**a**function depends only

__on__

**the**arguments that are input to

**the**function

**,**so calling

**a**function f twice with

**the**same value for

**an**argument x will produce

**the**same result f ( x ) both times

**.**

__Conversely__

**,**

**the**blood vessels

**in**

**the**lower legs are under great pressure ( because of

**the**weight of fluid pressing down

__on__them ).

__Conversely__

__on__occasions he attracted criticism for dogmatically pursuing schemes favoured by

**the**right of his party

**,**notably

**the**privatisation of British Rail

**,**and for closing down most of

**the**coal industry

**in**advance of privatisation

**.**

__Conversely__

**,**some areas

**which**were merely roadside suburbs

**in**

**the**1950s are now valuable urban land

__on__

**which**original structures are being removed through gentrification and

**the**land used for other purposes

**.**

__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__

**,**

**the**gravity of

**the**satellite

__on__

**the**bulges applies torque

__on__

**the**primary and speeds up its rotation

**.**

__Conversely__

**,**if

**the**odds of drawing

**a**winning card are numerically lower than

**the**pot odds

**,**

**the**call has

**a**negative expectation

**,**and you

**can**expect to win less money

__on__average than it costs to call

**the**bet

**.**

__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 ).

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