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Conversely, if I is not maximal, then there is a right ideal J properly containing I.

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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 I

__Conversely__

**,**

**if**

__I__

**is**

**not**minimal

**,**

**then**

**there**

**is**

**a**non-zero

**right**

**ideal**

**J**

**properly**contained in

__I__

**.**

**J**

**is**

**a**

**right**submodule of

__I__

**,**so

__I__

**is**

**not**simple

**.**

**

__Conversely__**,****if**ƒ:__I__→ R**is**absolutely continuous and thus differentiable almost everywhere**,**and satisfies | ƒ ′( x )| ≤ K for almost all x in__I__**,****then**ƒ**is**Lipschitz continuous with Lipschitz constant at most K**.**
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 ).__Conversely__

**,**

**if**

**not**forgiveness but something else may be required to ensure any possible benefit for which you may be eligible after the destruction of your body

**,**

__I__ask that this

**,**whatever it may be

**,**be granted or withheld

**,**as the case may be

**,**in such

**a**manner as to insure your receiving said benefit

**.**

__Conversely__

**,**on the next line

**,**the end of "

__I__come to bury Caesar

**,**

**not**to praise him " has an extra syllable because omitting the word " him " would make the sentence unclear

**,**but adding

**a**syllable at the end would

**not**disrupt the meter

**.**

__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__**,**in response to**a**claim the film was**a**spoof of sexual behavior**,****a**New York University professor said**,**"__I__do**not**see how you can spoof fellatio by showing continuous performance of fellatio**.**__Conversely__

**,**

**if**the holonomy group of the Riemannian manifold M

**is**contained in Sp ( k ), choose complex structures

__I__< sub > x </ sub >,

**J**< sub > x </ sub > and K < sub > x </ sub > on T < sub > x </ sub > M which make T < sub > x </ sub > M into

**a**quaternionic vector space

**.**

__Conversely__Roger Holland was burnt at the stake for " heresy " when he continued to his professed belief in the Reformed churches some 100 years earlier in 1558 during the Persecution of the Mary

__I__

**.**

There are many stories of men lying about their age to join the armed forces

**,**for example to fight in World War__I__**.**__Conversely__**,**those wishing to avoid conscription may also falsify their age: the birthdate of Henryk Gulbinowicz**,**Bishop Emeritus of Wroclaw**,**Poland and**a**cardinal of the Roman Catholic Church**,**was changed from 1923 to 1928 by his parents and his parish priest to prevent him from being conscripted during World War II**.**__Conversely__

**,**the authors of the book

__I__Can't Believe It's

**a**Bigger and Better Updated Unofficial Simpsons Guide

**,**Warren Martyn and Adrian Wood

**,**called it " the dullest

**,**one-joke episode of the entire series

**.**

__Conversely__

**,**it can be

**a**way to eliminate

**a**name that proves too controversial ; for example

**,**Hamburg Avenue in Brooklyn

**,**New York became Wilson Avenue after the United States entered World War

__I__against Germany ( see below ).

__I__’ m longing to set me down shorely and raise my chaps proper ( 50 – 51 ).”

__Conversely__

**,**her husband Brack

**is**committed to the mines and answers her as the family provider: “ It was never meant for

**a**body to be full content on the face of this earth

**.**

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**.**0.136 seconds.