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Some Related Sentences
Conversely and given
Conversely, a current of one ampere
is one coulomb of charge going past
a given point per second:
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, 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, given a groupoid G in
the algebraic sense
, let G < sub > 0 </ sub > be
the set of all elements of
the form x * x < sup >− 1 </ sup >
with x varying through G
and define G ( x * x < sup >-1 </ sup >, y * y < sup >-1 </ sup >) as
the set of all elements f such that y * y < sup >-1 </ sup > * f * x * x < sup >-1 </ sup > exists
.
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 >.

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, only
the wiki users interested in
a given project need look at its associated wiki pages
, in contrast
to high-traffic mailing lists which may burden subscribers
with many messages
, regardless of their relevance
.
Conversely, given a harmonic function
, it
is the real part of
an analytic function
, ( at least locally ).

Each convex set containing X must ( by
the assumption that it
is convex ) contain all convex combinations of points in X
, so
the set of all convex combinations
is contained in
the intersection of all convex sets containing X
. Conversely, the set of all convex combinations
is itself
a convex set containing X
, so it also contains
the intersection of all convex sets containing X
, and therefore
the sets
given by
these two definitions must be
equal.
Conversely, surveys conducted among living donors postoperatively
and in
a period of five years following
the procedure have shown extreme regret in
a majority of
the donors
, who said that
given the chance
to repeat
the procedure
, they would not
.
Conversely, given an ordered tree
, and conventionally draw
the root at
the top
, then
the child nodes in
an ordered tree can be drawn left-to-right
, yielding
an essentially unique planar embedding ( up
to embedded homotopy
, i
. e., moving
the edges
and nodes without crossing ).
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 ( A
, m
, e
, inv )
is a group object in one of those categories
, then m necessarily coincides
with the given operation
on A
, e
is the inclusion of
the given identity element
on A
, inv
is the inversion operation
and A
with the given operation
is an abelian group
.
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
.
Conversely, suppose we are
given ( U
, V
, W )
satisfying
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, it
is hard
to believe
, given the length
and intensity of
the struggle between Máel Sechnaill
and Brian
, that
the High King would surrender his title without
a fight
.
Conversely, an algorithm
to test for solvability in arbitrary integers could be used
to test
a given equation for solvability in natural numbers by applying that supposed algorithm
to the equation obtained from
the given equation by replacing each unknown by
the sum of
the squares of four new unknowns
.
Conversely, a disease that
is easily transmitted but has
a short duration might spread widely during 2002 but
is likely
to have
a low prevalence at
any given point in 2003 ( due
to its short duration ) but
a high incidence during 2002 ( as many people develop
the disease ).
Conversely, given a commutative diagram
, it defines
a poset category:
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, 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, any Hermitian positive semidefinite matrix M can be written as M = A < sup >*</ sup > A ; this
is the Cholesky
decomposition.
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
.

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 ).
0.085 seconds.