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Conversely, by the inverse function theorem, there can be at most one value for σ that, when applied as an input to, will result in a particular value for C.

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## Some Related Sentences

Conversely and by

__Conversely__

**,**

**most**realists ( specifically

**,**indirect realists ) hold

**that**perceptions or sense data are caused

__by__mind-independent objects

**.**

__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__

**,**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__

**,**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

**.**

__Conversely__

**,**these arguments were disputed

__by__those who claimed Dominion was widely misunderstood

**,**and conservatively inclined commenters saw

**the**change

**as**part of

**a**much larger attempt

__by__Liberals

**to**" re-brand " or re-define Canadian history

**.**

__Conversely__

**,**

**an**absence of secure cycle-parking is

**a**recurring complaint

__by__cyclists from cities with low modal share of cycling

**.**

__Conversely__

**,**

**the**end of

**the**Cold War marked

__by__

**the**fall of

**the**Berlin Wall

**in**1989 resulted

**in**

**a**reduction

**in**

**the**duration of Cold War civil wars of 92 % or

**,**phrased another way

**,**

**a**roughly ten-fold increase

**in**

**the**rate of resolution of Cold War civil wars

**.**

__Conversely__

**the**car is stopped

__by__releasing pressure on

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

**the**brakes

**.**

__Conversely__

**,**factors

**that**favor plate columns are: presence of solids

**in**feed

**,**high liquid rates

**,**large column diameters

**,**complex columns

**,**columns with wide feed composition variation

**,**columns with

**a**chemical reaction

**,**absorption columns

**,**columns limited

__by__foundation weight tolerance

**,**low liquid rate

**,**large turn-down ratio and those processes subject

**to**process surges

**.**

__Conversely__

**,**non-spontaneous electrochemical reactions

**can**

**be**driven forward

__by__

**the**application of

**a**current

**at**sufficient voltage

**.**

__Conversely__

**,**badly managed food aid

**can**create problems

__by__disrupting local markets

**,**depressing crop prices

**,**and discouraging food production

**.**

__Conversely__

**,**

**when**

**one**wants

**to**compute

**an**arbitrary number ( N ) of discrete samples of

**one**cycle of

**a**continuous DTFT

**,**it

**can**

**be**done

__by__computing

**the**relatively simple DFT of s < sub > N </ sub >,

**as**defined above

**.**

__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__

**,**

**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__

**,**people who revere or venerate religious images are (

__by__iconoclasts ) called " iconolaters ".

__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__

**,**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

**.**

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 and inverse

__Conversely__

**,**

**the**tiny meson mass mass differences responsible

**for**meson oscillations are often expressed

**in**

**the**more convenient

__inverse__picoseconds

**.**

__Conversely__

**,**

**a**connection on E determines

**a**connection on F ( E ), and these two constructions are mutually

__inverse__

**.**

__Conversely__

**,**

__inverse__iteration based methods find

**the**lowest eigenvalue

**,**so is chosen well away from and hopefully closer

**to**some other eigenvalue

**.**

__Conversely__

**,**

**when**carbon's hybridization changes from sp < sup > 2 </ sup >

**to**sp < sup > 3 </ sup >,

**the**out of plane bending force constants

**at**

**the**transition state increase and

**an**

__inverse__SKIE is observed with typical values of 0

**.**8

**to**0

**.**9

**.**

Conversely and function

__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

**.**

__Conversely__

**,**sociology of law may help comparative law answer questions

**,**such

**as**: How do regulations

**in**different legal systems really

__function__

**in**

**the**respective societies?

__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__

**,**

**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__

**,**given

**a**harmonic

__function__

**,**it is

**the**real part of

**an**analytic

__function__

**,**(

**at**least locally ).

__Conversely__

**most**( but not all ) of

**the**ASCII " control characters " have some control

__function__

**in**isolation

**,**therefore are not escape characters

**.**

__Conversely__

**,**given any harmonic

__function__

**in**two dimensions

**,**it is

**the**real part of

**an**analytic

__function__

**,**

**at**least locally

**.**

__Conversely__

**,**those who wish

**to**

__function__primarily

**as**clinical ED physicians choose

**the**CCFP route of certification

**.**

__Conversely__

**,**warming of

**an**affected extremity may indicate

**a**disruption of

**the**body's normal thermoregulatory vasoconstrictor

__function__

**,**which may sometimes indicate underlying CRPS

**.**

__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__

**,**any equation

**can**take

**the**canonical form f ( x ) = 0

**,**so equation solving is

**the**same thing

**as**computing ( or finding )

**a**root of

**a**

__function__

**.**

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__

**,**culture decline is

**a**

__function__of

**the**feckless mixture of Aryan

**,**with lesser ' animalistic ,' blood ...

__Conversely__

**,**if it is too wet

**,**mud cakes

**in**

**the**machinery and moisture weighs down

**the**material

**,**making it impossible

**for**

**the**equipment

**to**

__function__without picking up large quantities of mud

**.**

__Conversely__

**,**

**a**single email address may

**be**

**an**alias and have

**a**distribution

__function__

**to**many mailboxes

**.**

__Conversely__

**,**

**there**may

**be**levels of production where marginal cost is higher than average cost

**,**and average cost is

**an**increasing

__function__of output

**.**

__Conversely__

**,**

**a**

__function__u: E < sub > 1 </ sub > → E < sub > 2 </ sub > defined on

**a**basis of E < sub > 1 </ sub >

**can**

**be**uniquely extended

**to**

**a**linear

__function__

**.**

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