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Some Related Sentences
Conversely and category
Conversely, a particular map between particular objects may be called an unnatural isomorphism ( or "
this isomorphism is
not natural ") if
the map cannot be extended to a natural transformation on
the entire
category.
Conversely, many theorems that hold
in universal algebra do
not generalise all
the way to
category theory
.

This ring is
the endomorphism ring
of A
. Conversely, every ring ( with identity ) is
the endomorphism ring
of some object
in some preadditive
category.
Conversely, given any ring
, we can form a
category by taking objects A < sub > n </ sub > indexed by
the set
of natural numbers ( including
zero ) and letting
the hom-set
of morphisms from to be
the set of-by-matrices over
, and where composition is given by matrix multiplication
.
Conversely, given a commutative diagram
, it defines a poset
category:
Conversely, in a preadditive
category, every binary equaliser can be constructed as a kernel
.
Conversely, the creation by an author
of an imaginary country — such as Ruritania or Graustark —
does not automatically transform that imaginary country into a fantasy world
, even if
the location would be impossible
in reality owing to a lack
of land to contain it
; but such Ruritanian romances may be pushed toward
the category of fantasy worlds by
the introduction
of, say
, witches and wise women
, where it is
not clear if their magic is effectual
.
Conversely and rings
Conversely, given central idempotents a < sub > 1 </ sub >,..., a < sub > n </ sub >
in R that
are pairwise orthogonal and
have sum 1
, then R is
the direct sum
of the rings Ra < sub > 1 </ sub >,…, Ra < sub > n </ sub >.
Conversely in rings with unity
, any simple left R module arises
this way
.
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 ).

*
Conversely, corresponding to any partition
of X
, there exists an equivalence relation ~ on X
.
Conversely, there are Grothendieck topologies which do
not come from topological spaces
.

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, there have been a number
of popes whose reign lasted less than a month
.
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 I is
not maximal
, then
there is a right ideal J properly containing I
.
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, there are many Kohanim who do
not have Cohen as a surname
.
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 ).
0.214 seconds.