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Conversely, the topological charge only makes sense in the ordered phase and not at all in the disordered phase, because in some hand-waving way there is a " topological condensate " in the disordered phase which randomizes the field from point to point.

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## Some Related Sentences

Conversely and topological

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__

**,**given any

__topological__space X

**,**

**the**collection of subsets of X that are clopen ( both closed

**and**open )

**is**

**a**Boolean algebra

**.**

__Conversely__

**,**any locale A has

**a**

__topological__space S ( A ) that best approximates

**the**locale

**,**called its spectrum

**.**

Conversely and charge

__Conversely__

**,**underclocking trades off slower operation

**to**reduce power consumption

**and**temperature

**,**cooling requirements (

**and**therefore

**the**number

**and**speed of fans

**,**allowing quiet operation )

**and**

**,**where relevant

**,**increase battery life per

__charge__

**.**

Conversely and only

__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__

**,**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__

**,**if

**the**amount of fat

**is**increased

**,**increasing

**the**number of calories ingested will

__only__add weight

**.**

__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__

**,**

**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__

**,**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__

**,**

**the**symbol width could be set

**at**8

**,**even if

__only__values 0

**and**1 are used ; these data would

__only__require

**a**2-color table

**.**

__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__

**,**Baptists are underrepresented

**,**

**a**reflection of their quite recent expansion

**in**numbers ;

**there**has been

__only__one Roman Catholic president

**,**although they are currently

**the**largest single denomination

**,**

**and**

**there**have been no Lutheran

**,**Pentecostal

**,**or Latter Day Saint presidents

**.**

__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__

**,**

**a**metrizable space

**is**separable if

**and**

__only__if it

**is**second countable

**,**

**which**

**is**

**the**case if

**and**

__only__if it

**is**Lindelöf

**.**

__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__

**,**jumper classes are scored objectively

**,**based entirely on

**a**numerical score determined

__only__by whether

**the**horse attempts

**the**obstacle

**,**clears it

**,**

**and**finishes

**the**course

**in**

**the**allotted time

**.**

__Conversely__

**,**if children are found

**to**

__only__develope after undergoing treatment it would challenge

**the**traumagenic model

**.**

__Conversely__

**,**of

**the**253 known stable nuclides

**,**

__only__five have both an odd number of protons

**and**odd number of neutrons: hydrogen-2 ( deuterium ), lithium-6

**,**boron-10

**,**nitrogen-14

**,**

**and**tantalum-180m

**.**

__Conversely__

**,**

**a**wing dam

**is**

**a**structure that

__only__partly restricts

**a**waterway

**,**creating

**a**faster channel that resists

**the**accumulation of sediment

**.**

__Conversely__

**,**

**a**small farm surrounding

**the**owner's dwelling

**is**called

**a**smallholding

**and**

**is**generally focused on self-sufficiency with

__only__

**the**surplus being sold

**.**

__Conversely__

**,**Hill would play

__only__47 games

**in**

**the**following four seasons due

**to**

**a**recurring ankle injury

**.**

__Conversely__

**,**even though nearly 60 percent of voters selected

**the**Democratic Governor Gary Locke

**in**2000

**,**

**in**2004

**the**Democratic gubernatorial nominee Christine Gregoire received

__only__41 percent of

**the**vote

**.**

__Conversely__

**,**North Korea refused

**to**speak

**in**

**the**context of six-party talks

**,**stating that it would

__only__accept bilateral talks with

**the**United States

**.**

__Conversely__

**,**following

**the**diurnal motion with

**the**camera

**,**

**to**eliminate it on

**the**photograph

**,**can best be done with an equatorial mount

**,**

**which**requires adjusting

**the**right ascension

__only__;

**a**telescope may have

**a**motor

**to**do that automatically ( sidereal drive ).

Conversely and makes

__Conversely__

**,**most modern role-playing games encourage gamemasters

**to**ignore their gaming systems if it

__makes__for

**a**more enjoyable story

**,**even though they may

**not**describe themselves as

**"**storytelling

**"**games

**.**

__Conversely__

**,**

**the**exemplary stepmother prefers

**the**stepson

**to**her own child

**,**

**in**recognition that his seniority

__makes__him superior

**.**

__Conversely__

**the**Royal Navy

**,**

**which**includes

**the**Royal Marines

**,**

__makes__no distinction between postings

**at**sea or on land

**.**

__Conversely__

**,**

**the**strong interaction between electrons

**and**proteins

__makes__thick ( e

**.**g

**.**3-dimensional > 1 micrometer ) crystals impervious

**to**electrons

**,**

**which**

**only**penetrate short distances

**.**

__Conversely__

**,**

**in**times of robust economic growth

**,**fixed investment will increase across

**the**board

**,**

**because**

**the**observed market expansion

__makes__it likely that such investment will be profitable

**in**

**the**future

**.**

Conversely and sense

__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__

**,**most realists ( specifically

**,**indirect realists ) hold that perceptions or

__sense__data are caused by mind-independent objects

**.**

__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__

**,**

**the**rejection of syncretism

**,**usually

**in**

**the**name of

**"**piety

**"**

**and**

**"**orthodoxy ", may help

**to**generate

**,**bolster or authenticate

**a**

__sense__of uncompromised cultural unity

**in**

**a**well-defined minority or majority

**.**

__Conversely__

**,**

**in**

**the**category of rings

**,**

**there**are no kernels

**in**

**the**category-theoretic

__sense__; indeed

**,**this category does

**not**even have zero morphisms

**.**

**"**

__Conversely__

**,**

**in**

**the**positive

__sense__

**,**it would refer

**to**

**"**having it both ways

**"**or

**"**having

**the**best of both worlds

**.**

__Conversely__

**,**any operator satisfying

**the**above properties defines

**a**connection on E

**and**

**a**connection

**in**this

__sense__

**is**also known as

**a**covariant derivative on E

**.**

__Conversely__

**,**those who had

**a**difficult time during middle adulthood may look back

**and**feel

**a**

__sense__of despair

**.**

__Conversely__

**,**an Ehresmann connection H ⊂ TP ( or v: TP → V ) on P defines

**a**principal G-connection ω if

**and**

**only**if it

**is**G-equivariant

**in**

**the**

__sense__that

**.**

__Conversely__

**,**synthetic languages often combine many lexical morphemes into single words

**,**making it difficult

**to**boil them down

**to**

**the**traditional

__sense__of words found more easily

**in**analytic languages ; this

**is**especially difficult for polysynthetic languages

**,**such as Inuktitut

**and**Ubykh

**,**where entire sentences may consist of

**a**single word

**.**

for

**all**compactly supported functions ƒ**and**h**.**__Conversely__**,**() characterizes Δ completely**,****in****the**__sense__that it**is****the****only**operator with this property**.**__Conversely__

**and**

**to**

**some**surprisingly

**,**

**the**word may be used

**to**mean

**"**approve of ," especially

**in**an official

__sense__

**.**

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