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Conversely, there are Grothendieck topologies which do not come from topological spaces.

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## Some Related Sentences

Conversely and there

__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__

**,**the Belgian Blue's meat tenderness has been argued to be just as tender because

__there__

**are**a large number of smaller muscle fibers

**.**

__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__

**,**the existence of Bletchley Park

**,**and of the decrypting achievements

__there__

**,**was never officially shared with the Soviet Union

**,**whose war effort would have greatly benefited

**from**regular decrypting of German messages relating to the Eastern Front

**.**

__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 ).

That is

**,**the motivational internalist believes that__there__is an internal**,**necessary connection between one's conviction that X ought to be done and one's motivation to**do**X**.**__Conversely__**,**the motivational externalist ( or moral externalist ) claims that__there__is no necessary**,**internal connection between moral convictions and moral motives**.**__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__

**,**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 dφ < sub > x </ sub > is an isomorphism then

__there__is an open neighborhood U of x such that φ maps U diffeomorphically onto its image

**.**

__Conversely__

**,**the Court has approved routine warrantless seizures

**,**for example " where

__there__is probable cause to believe that a criminal offense has been or is being committed

**.**

__Conversely__

**,**Elijah Delmedigo ( c

**.**1458 – c

**.**1493 ), in his Bechinat ha-Dat endeavored to show that the Zohar could

**not**be attributed to Shimon bar Yochai

**,**arguing that if it were his work

**,**the Zohar would have been mentioned by the Talmud

**,**as has been the case with other works of the Talmudic period

**,**that had bar Yochai known by divine revelation the hidden meaning of the precepts

**,**his decisions on Jewish law

**from**the Talmudic period would have been adopted by the Talmud

**,**that it would

**not**contain the names of rabbis who lived at a later period than that of Simeon ; and that if the Kabbalah was a revealed doctrine

**,**

__there__would have been no divergence of opinion among the Kabbalists concerning the mystic interpretation of the precepts

**.**

__Conversely__

**,**Per Christiansen found that using skull morphology allowed him to identify the subspecies krugeri

**,**nubica

**,**persica

**,**and senegalensis

**,**while

__there__was overlap between bleyenberghi with senegalensis and krugeri

**.**

__Conversely__

**,**Psychology defines bottom-up processing as an approach wherein

__there__is a progression

**from**the individual elements to the whole

**.**

__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

**.**

As stated earlier

**,**an adjunction between categories C and D gives rise to a family of universal morphisms**,**one for each object in C and one for each object in D**.**__Conversely__**,**if__there__exists a universal morphism to a functor G: C → D**from**every object of D**,**then G has a left adjoint**.**
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 B satisfies both of the conditions 1 and 2**,**then__there__is a unique topology on X for**which**B is a base ; it is called the topology generated by B**.**__Conversely__

**,**if

__there__is a tenfold excess of the acid with respect to the base

**,**the ratio is 1: 10 and the pH is pKa – 1

**.**

Conversely and are

__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__

**,**the vowel marks of the Tigrinya abugida and the Amharic abugida ( ironically

**,**the original source of the term " abugida ") have been so completely assimilated into their consonants that the modifications

__are__no longer systematic and have to be learned as a syllabary rather than as a segmental script

**.**

__Conversely__

**,**most heat-treatable alloys

__are__precipitation hardening alloys

**,**

**which**produce the opposite effects that steel does

**.**

__Conversely__

**,**most realists ( specifically

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

__are__caused by mind-independent objects

**.**

__Conversely__

**,**many fighter aircraft

**,**such as the F-16

**,**

__are__often used as ' bomb trucks ,' despite being designed for aerial combat

**.**

__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__

**,**certain general principles ( for example

**,**neighbourliness

**,**or charity )

__are__seen to be universal and consistent

**.**

__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__beetles

__are__prey of various invertebrates and vertebrates including insects

**,**fish

**,**reptiles

**,**birds and mammals

**.**

__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__

**,**computer implementations

__are__significant in applying ideas

**from**discrete mathematics to real-world problems

**,**such as in operations research

**.**

__Conversely__

**,**Harris maintains that the fact-value distinction is a confusion

**,**proposing that values

__are__really a certain kind of fact

**.**

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__

**,**the tiny meson mass mass differences responsible for meson oscillations

__are__often expressed in the more convenient inverse picoseconds

**.**

__Conversely__

**,**BBC critic Mark Kermode believes that " the movie industries of Britain and America

__are__inextricably intertwined ", citing numerous examples of how Hollywood provides work to British production staff and studios

**,**whilst Britain enables Hollywood to base their prestigious productions at UK studios

**.**

__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__

**,**the bodies of people who had certain medical conditions

__are__useful for research into those conditions

**.**

__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__

**,**rifle bullets can pierce light armor and

__are__easier to shoot accurately

**,**but even a carbine such as the Colt M4 is larger and / or longer than a submachine gun

**,**making it harder to maneuver in close quarters

**.**

__Conversely__

**,**if either of these last two expressions is defined

**,**then so is the other ( and again they

__are__equal ).

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