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Conversely, given a configuration of a conic and six lines which tangent to it in the plane, we may define the double cover of the plane ramified over the union of these 6 lines.

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## Some Related Sentences

Conversely and given

__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__

**,**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__

**,**

__given__

**a**groupoid G

**in**

**the**algebraic sense

**,**let G < sub > 0 </ sub > be

**the**set

**of**all elements

**of**

**the**form x * x < sup >− 1 </ sup > with x varying through G

**and**

**define**G ( x * x < sup >-1 </ sup >, y * y < sup >-1 </ sup >) as

**the**set

**of**all elements f such that y * y < sup >-1 </ sup > * f * x * x < sup >-1 </ sup > exists

**.**

__Conversely__

**,**

__given__central idempotents

**a**< sub > 1 </ sub >,...,

**a**< sub > n </ sub >

**in**R that are pairwise orthogonal

**and**have sum 1

**,**then R is

**the**direct sum

**of**

**the**rings Ra < sub > 1 </ sub >,…, Ra < sub > n </ sub >.

Given

**a**field ordering ≤ as**in**Def 1**,****the**elements such that x ≥ 0 forms**a**positive cone**of**F**.**__Conversely__**,**__given__**a**positive cone P**of**F as**in**Def 2**,**one can associate**a**total ordering ≤< sub > P </ sub > by setting x ≤ y**to**mean y − x ∈ P**.**This total ordering ≤< sub > P </ sub > satisfies**the**properties**of**Def 1**.**__Conversely__

**,**only

**the**wiki users interested

**in**

**a**

__given__project need look at its associated wiki pages

**,**

**in**contrast

**to**high-traffic mailing lists

**which**

**may**burden subscribers with many messages

**,**regardless

**of**their relevance

**.**

__Conversely__

**,**

__given__

**a**harmonic function

**,**

**it**is

**the**real part

**of**an analytic function

**,**( at least locally ).

Each convex set containing X must ( by

**the**assumption that**it**is convex ) contain all convex combinations**of**points**in**X**,**so**the**set**of**all convex combinations is contained**in****the**intersection**of**all convex sets containing X**.**__Conversely__**,****the**set**of**all convex combinations is itself**a**convex set containing X**,**so**it**also contains**the**intersection**of**all convex sets containing X**,****and**therefore**the**sets__given__by**these**two definitions must be equal**.**__Conversely__

**,**surveys conducted among living donors postoperatively

**and**

**in**

**a**period

**of**five years following

**the**procedure have shown extreme regret

**in**

**a**majority

**of**

**the**donors

**,**who said that

__given__

**the**chance

**to**repeat

**the**procedure

**,**they would not

**.**

__Conversely__

**,**

__given__an ordered tree

**,**

**and**conventionally draw

**the**root at

**the**top

**,**then

**the**child nodes

**in**an ordered tree can be drawn left-to-right

**,**yielding an essentially unique planar embedding ( up

**to**embedded homotopy

**,**i

**.**e., moving

**the**edges

**and**nodes without crossing ).

__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 ( A

**,**m

**,**e

**,**inv ) is

**a**group object

**in**one

**of**those categories

**,**then m necessarily coincides with

**the**

__given__operation on A

**,**e is

**the**inclusion

**of**

**the**

__given__identity element on A

**,**inv is

**the**inversion operation

**and**A with

**the**

__given__operation is an abelian group

**.**

__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

**.**

__Conversely__

**,**

__given__any ring

**,**

**we**can form

**a**category by taking objects A < sub > n </ sub > indexed by

**the**set

**of**natural numbers ( including zero )

**and**letting

**the**hom-set

**of**morphisms from

**to**be

**the**set of-by-matrices

**over**

**,**

**and**where composition is

__given__by matrix multiplication

**.**

__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__

**,**an algorithm

**to**test for solvability

**in**arbitrary integers could be used

**to**test

**a**

__given__equation for solvability

**in**natural numbers by applying that supposed algorithm

**to**

**the**equation obtained from

**the**

__given__equation by replacing each unknown by

**the**sum

**of**

**the**squares

**of**four new unknowns

**.**

__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 and configuration

__Conversely__

**,**

**in**

**the**limit

**we**have infinitely rapid

**,**or diabatic passage ;

**the**

__configuration__

**of**

**the**state remains unchanged:

__Conversely__

**,**

**the**

__configuration__

**of**

**a**project often includes one or more baselines

**,**

**the**status

**of**

**the**

__configuration__

**,**

**and**any metrics collected

**.**

__Conversely__

**,**simply mocking one method might require far less

__configuration__than setting up an entire real class

**and**therefore reduce maintenance needs

**.**

Conversely and six

__Conversely__any bipartite graph with girth at least

__six__can be viewed as

**the**Levi graph

**of**an abstract incidence structure

**.**

__Conversely__

**,**Russian emigre guitarists living

**in**western countries

**,**where only

__six__string guitars were available

**,**have been known

**to**modify

__six__string (

**and**sometimes twelve string ) acoustic guitars

**to**seven string instruments

**,**

**in**order

**to**better play their favorite Russian songs

**.**

__Conversely__

**,**Chaim cannot resolve

**the**promise that Jews are God ’ s chosen people with

**the**atrocious murder

**of**

__six__million innocents

**.**

Conversely and lines

__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__

**,**his aerosol strokes are regarded as different from those

**of**his peers

**,**as they are as thin as

**the**fine

__lines__achieved only through

**the**use

**of**an airbrush

**.**

__Conversely__

**,**

**in**February 2012

**,**SB Nation columnist Travis Hughs said that " Key Arena is so poorly designed for hockey that even

**a**single season there would be unacceptable ", referring

**to**

**the**arrangement

**of**seating on only one end

**of**

**the**rink

**,**

**a**consequence

**of**

**the**renovation favoring basketball-type bleacher arrangements-the same problems with sight

__lines__that caused

**the**Thunderbirds

**to**negotiate for

**a**new arena nearby

**.**

__Conversely__

**,**Robert Christgau likened

**the**album's songs

**to**Bruce Springsteen cast-offs

**,**with Lynott's lyrical ideas as " boring ",

**and**Gorham's guitar

__lines__as " second-hand ".

__Conversely__

**,**

**the**Docklands Light Railway

**in**London

**,**Green Line

**in**Los Angeles

**and**some metro

__lines__

**in**China are referred

**to**as " Light Rail " even though they qualify as rapid transit because they are fully grade-separated

**and**provide

**a**high frequency

**of**service

**.**

In two dimensions

**,****the**finite reflection groups are**the**dihedral groups**,****which**are generated by reflection**in**two__lines__that form an angle**of****and**correspond**to****the**Coxeter diagram__Conversely__**,****the**cyclic point groups**in**two dimensions are not generated by reflections**,****and**indeed contain no reflections – they are however subgroups**of**index 2**of****a**dihedral group**.**__Conversely__

**,**when

**the**arbor is lowered

**,**

**the**lift

__lines__increase

**in**tension

**,**

**which**

**in**turn causes

**the**batten

**to**rise

**.**

Conversely and which

__Conversely__

**,**if statistics were uncovered

__which__contradicted

**a**cherished theory

**,**

**the**sources were denounced as faulty

**.**

__Conversely__

**,**experimenters would consider as impressive such statements as

**the**following

**,**

__which__

**,**if they turned out

**to**be hits

**,**are so unusual as

**to**be really significant:

__Conversely__

**,**most heat-treatable alloys are precipitation hardening alloys

**,**

__which__produce

**the**opposite effects that steel does

**.**

__Conversely__

**,**some elements do not maintain distinct allotropes

**in**different phases – for example phosphorus has numerous solid allotropes

**,**

__which__all revert

**to**

**the**same P < sub > 4 </ sub > form when melted

**to**

**the**liquid state

**.**

__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__

**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__

**,**

**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__

**,**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__

**,**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__

**,**if

**the**data are sparse — that is

**,**if only K out

**of**N Fourier coefficients are nonzero — then

**the**complexity can be reduced

**to**O ( K log N log ( N / K )),

**and**this has been demonstrated

**to**lead

**to**practical speedups compared

**to**an ordinary FFT for N / K > 32

**in**

**a**large-N example ( N = 2 < sup > 22 </ sup >) using

**a**probabilistic approximate algorithm (

__which__estimates

**the**largest K coefficients

**to**several decimal places ).

__Conversely__

**,**

**a**high pH

**,**low CO < sub > 2 </ sub >, or low 2

**,**3 BPG favors

**the**relaxed form

__which__can better bind oxygen

**.**

__Conversely__

**,**externalism holds that

**it**is things about

**the**world

__which__motivate us

**,**justify our beliefs

**,**determine meaning

**,**etc

**.**

__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**Šar Mountains

**,**

__which__are located

**in**

**the**northwestern part

**,**block cold northern winds

**.**

__Conversely__

**,**

**the**Roman poet Ovid provides

**a**second etymology

**,**

**in**

__which__he says that

**the**month

**of**May is named for

**the**maiores

**,**Latin for " elders ,"

**and**that

**the**following month ( June ) is named for

**the**iuniores

**,**or " young people " ( Fasti VI

**.**88 ).

__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__

**,**Scheme contains multiple coherent subsets that suffice

**to**construct

**the**rest

**of**

**the**language as library macros

**,**

**and**so

**the**language designers do not even bother

**to**say

__which__portions

**of**

**the**language must be implemented as language constructs

**,**

**and**

__which__must be implemented as parts

**of**

**a**library

**.**

__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

**.**

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