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Some Related Sentences
Conversely and any
Conversely, let G
be any polynomial such that Af
.
Conversely, any algebra whose associator
is alternating
is clearly alternative
.
Conversely, any algebra for which
this is true
is clearly alternative
.
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 equilibrium position
is said to
be " far to
the left " if hardly
any product
is formed from
the reactants
.

* 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, 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, any surjection between sets determines a partition on its domain
, the set of preimages of singletons in
the codomain
.
Conversely, Derek Bickerton and others argue that
the advent of abstract words provided a mental basis for analyzing higher-order relations
, and that
any communication system that remotely resembles human language utterly relies on cognitive architecture that co-evolved alongside language
.
Conversely any planar graph
can be formed from a map in
this way
.
Conversely, a person may feel like he belongs to one state without having
any legal relationship to it
.
Conversely, the interior of
the box has a constant
, zero potential energy .< ref
> Actually
, any constant
, finite potential
can be specified within
the box
.
Conversely, extremely thin jewelry
can cause
the same tearing in what
is commonly referred to
as the " cheese cutter effect ", either during sudden torsion or over a long period of wearing
, especially if
the thin jewelry bears
any weight
.
Conversely, if a double sharp were added to
any other note not containing a sharp or flat
as indicated by
the key signature then
the note will
be raised two semitones or a whole step with respect to
the chromatic scale
.
Conversely in rings with unity
, any simple left R module arises
this way
.
Conversely, supplementation with L-phenylalanine
, L-tyrosine
, L-DOPA
, or
any of
the cofactors will increase their respective concentrations
.
Conversely, any choice of μ
, full rank
matrix U
, and
positive diagonal entries Λ
< sub
> i </ sub
> yields a non-singular multivariate normal distribution
.
Conversely, in
the absence of spatial continuity
can take
any value
.
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
.
Conversely, given
any harmonic function in two dimensions
, it
is the real part of an analytic function
, at least locally
.
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
.

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 and positive
Conversely, in an n-channel enhancement-mode device
, a
positive gate-to-source voltage
is necessary to create a conductive channel
, since one does not exist naturally within
the transistor
.

Given a field ordering ≤
as in Def 1
, the elements such that x ≥ 0 forms a
positive cone of F
. Conversely, given a
positive cone P of F
as in Def 2
, one
can associate a total ordering ≤< sub
> P </ sub
> by setting x ≤ y to mean y − x ∈ P
. This total ordering ≤< sub
> P </ sub
> satisfies
the properties of Def 1
.
Conversely, some have identified low protein intake
as a
positive factor
, protein
is among
the causes of dietary acidity
.
Conversely, increasing
the positive DC voltage on
the plate will attract more electrons toward it
.
Conversely every
positive functional φ gives a corresponding inner product
< ƒ
, g >< sub
> φ </ sub
> = φ ( g * ƒ ).
Conversely, every
positive semi-definite
matrix is the covariance
matrix of some multivariate distribution
.
Conversely, if
M is positive definite
, it has an eigendecomposition P
< sup >− 1 </
sup > DP where P
is unitary
, D diagonal
, and all diagonal elements of D are real and
positive.
Conversely, to switch off a p-channel device requires V
< sub
> GS </ sub
> positive.
Conversely, inserting a tube that
is too small
can result in inability to achieve effective
positive pressure ventilation due to retrograde escape of gas through
the glottis and out
the mouth and nose ( often referred to
as a " leak " around
the tube ).
Conversely, a number that
is greater than zero
is called
positive ; zero
is usually thought of
as neither
positive nor negative
.

"
Conversely, in
the positive sense
, it would refer to " having it both ways " or " having
the best of both worlds
.
Conversely, the film did receive notably
positive reviews from such critics
as Varietys Derek Elley
, A. O
. Scott of The New York Times
, and online critic James Berardinelli
.
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, by
the Riesz representation theorem
, each
positive linear form on arises
as integration with respect to a Radon measure and
is thus a continuous
positive linear form on
.
Conversely, recruiting creatures which share a
positive predisposition towards each other increases their morale
.
Conversely, a down period
is characterized by
the close being lower than
the previous period's ( note that D
is nonetheless a
positive number ),
Conversely, increasing
the external K
< sup >+</
sup > concentration raises ( more
positive )
the K
< sup >+</
sup > equilibrium potential and produces a
positive shift in reversal potential
.
Conversely, he instituted
positive changes
, such
as longer home leaves and better food and medical / surgical assistance for
the troops
.
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