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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.

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## Some Related Sentences

Conversely and if

__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__

**,**

__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__

**,**

**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__

**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__

**,**

__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__

**,**

__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__

**,**

__if__

**the**source

**of**waves

**is**moving away from

**the**observer

**,**each wave

**is**emitted from

**a**position farther from

**the**observer than

**the**previous wave

**,**so

**the**arrival time between successive waves

**is**increased

**,**reducing

**the**frequency

**.**

__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

**.**

If neither A nor B includes

**the**idea**of**existence**,****then**" some A are B " simply adjoins A to B**.**__Conversely__**,**__if__A or B do include**the**idea**of**existence**in****the**way that " triangle " contains**the**idea " three angles equal to two right angles ",**then**" A exists "**is**automatically true**,****and**we have an ontological proof**of**A's existence**.**__Conversely__

**,**

__if__

**the**measured potential

**is**negative

**,**

**the**electrode

**is**more oxidizing than

**the**SHE

**(**

**such**as Zn

**in**ZnSO < sub > 4 </ sub > where

**the**standard electrode potential

**is**− 0

**.**76 V ).

__Conversely__

**,**

__if__

**the**firm

**is**able to get bulk discounts

**of**an input

**,**

**then**it could have economies

**of**scale

**in**some range

**of**output levels even

__if__it has decreasing returns

**in**production

**in**that output range

**.**

__Conversely__

**,**daylight stock shot

**in**daylight

**will**look normal

**,**but orange

__if__shot under tungsten lights

**.**

__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 and is

__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__

**,**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__

**,**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__

**,**

**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

**.**

* 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 and expected

__Conversely__

**,**some

**of**

**the**Allied infantry who had just dealt

**a**crushing defeat to

**the**French at

**the**Battle

**of**Waterloo fully

__expected__to have to fight again

**the**next day

**(**at

**the**Battle

**of**Wavre ).

__Conversely__

**,**

**a**soft currency indicates

**a**currency which

**is**

__expected__to fluctuate erratically or depreciate against other currencies

**.**

__Conversely__climate changes impact on

**the**salt concentration

**in**water bodies

**is**

__expected__to

**be**unfavourable

**.**

__Conversely__

**,**lower elevation treelines are

__expected__to

**be**more affected by precipitation changes than temperature variation

**.**

__Conversely__

**,**test results showed his memory

**for**faces scored at

**the**level

__expected__

**of**

**a**6 – 8 year old child

**in**this task

**.**

__Conversely__

**,**

**if**they are not required to bat until later

**in**

**the**game

**,**they

**must**

**be**able to attempt to score quickly

**,**often attempting to hit many fours or sixes

**,**

**and**

**if**they only have

**a**short period to bat

**,**they are

__expected__to

**be**innovative

**and**able to settle after

**a**short period

**.**

__Conversely__

**,**some shortfall

**in**return on euro deposits

**must**

**be**offset by some

__expected__gain from appreciation

**of**

**the**euro against

**the**dollar

**.**

__Conversely__

**,**

**if**

**the**stock market

**is**

__expected__to perform poorly

**,**

**the**fund would decrease its stock holdings

**.**

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