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Some Related Sentences
Conversely and suppose
Conversely, suppose that M
is a simple R-module
.
Conversely, suppose we are given ( U
, V
, W ) satisfying
Conversely, suppose no improvement can be made
.
Conversely, suppose the estimate holds
.

:
Conversely, suppose that φ
is a smooth real-valued function on M
in a neighborhood
of p
. Since every smooth function has a local coordinate expression
, we may express φ as a function
in the coordinates
.
Conversely and is
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 current
of one ampere
is one coulomb
of charge going past a given point per second:
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, any algebra whose associator
is alternating
is clearly alternative
.
Conversely, any algebra for which this
is true
is clearly alternative
.
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, 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, 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 it may generate too many points
in areas where
the curve
is close to linear
.
Conversely, if
the second theory
is correct
, then
the Athenians were merely reacting to
the Persians attacking them
.
Conversely, every Bayesian procedure
is admissible
.
Conversely the equilibrium position
is said to be " far to
the left " if hardly any product
is formed from
the reactants
.
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
.
Conversely and space
Conversely, a complete subset
of a metric
space is closed
.
Conversely, one might expect
that inertial motions
, once identified by observing
the actual motions
of bodies and making allowances for
the external forces ( such as electromagnetism or friction ), can be used to define
the geometry
of space, as well as a time coordinate
.
Conversely, in the bleak Orwellian world
of " The High Ones "— where
the Soviets have won
the Third World War and gained control
of the whole world —
the dissidents still have some hope
, precisely because
space flight has not been abandoned
.
Conversely, active directed panspermia has been proposed to secure and expand life
in space.
Conversely, a metrizable
space is separable if and only if it
is second countable
, which
is the case if and only if it
is Lindelöf
.

Given a vector
space V over a field K
, the span
of a set S ( not necessarily finite )
is defined to be
the intersection W
of all subspaces
of V which contain S
. W
is referred to as
the subspace spanned by S
, or by
the vectors
in S
. Conversely, S
is called a spanning set
of W
.
Conversely, if W
is subspace
of V
, then W
is itself a vector
space under
the operations induced by
Conversely, except
in dimension 2
, if
the curvature
of a Riemannian manifold has this form for some function K
, then
the Bianchi identities imply
that K
is constant and thus
that the manifold
is ( locally ) a
space form
.

Equipped with this notion
of length
, a Riemannian manifold
is a metric
space, meaning
that it has a distance function d ( p
, q ) whose value at a pair
of points p and q
is the distance from p to q
. Conversely, the metric tensor itself
is the derivative
of the distance function ( taken
in a suitable manner ).
Conversely, every Polish
space is homeomorphic to a G < sub > δ </ sub >- subset
of the Hilbert cube
.
Conversely, any vector
space,, is an affine
space over itself
.
Conversely, when a record
is deleted
, later records are moved down so
that the free
space remains contiguous
.
Conversely, if X
is projective
, then
the pullback
of under
the closed immersion
of X into a projective
space is very ample
.
Conversely, if X
is a Hausdorff
space and ker f
is a closed set
, then
the coimage
of f
, if given
the quotient
space topology
, must also be a Hausdorff
space.
Conversely a compact metric
space is second-countable
.

Any point x gives rise to a continuous function p < sub > x </ sub > from
the one element topological
space 1 ( all subsets
of which are open ) to
the space X by defining p < sub > x </ sub >( 1 ) = x
. Conversely, any function from 1 to X clearly determines one point:
the element
that it " points " to
.
Conversely, any such one form defines ( via pullback ) a G-equivariant horizontal 1-form on P
, and
the space of principal G-connections
is an affine
space for this
space of 1-forms
.
Conversely and Af
Conversely, let G be any polynomial such
that Af.
0.568 seconds.