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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 left
Conversely the equilibrium position
is said to be " far to the
left " if hardly any product
is formed from the reactants.
Conversely, if the same
is done
with the
left hand
, a left-handed system results.
Conversely women take one step backwards
and then slide to the
left passing behind
of their neighbour
, then step forwards
and slide right
in front
of their neighbour.
Conversely in rings
with unity
, any simple
left R
module arises this way.
Conversely, if F
is left adjoint to
G, and G is naturally isomorphic to
G ′
then F
is also
left adjoint to
G ′.

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.

"
Conversely, they also explained that fascism was
of the right
, not
of the
left.
Conversely, the left-hand side
is everything on the
left side.
Conversely, a natural
, military or ecological disaster might move the PPF to the
left, in response to
a reduction
in an economy's productivity.
Conversely, the pulmonary veins
, carrying blood from the lungs to the
left atrium
of the heart
, are the only veins carrying oxygenated blood.
Conversely, a hypertrophied
left ventricle has
a lower afterload.
Conversely, if the
left eye
is covered
, the pendulum would appear to be revolving clockwise-from-top
, appearing closer as it swings toward the
left and farther as it swings toward the right.
Conversely, in Japan-where the Matrix
is treated simply as
a reservoir
of pure energy-the shell was
left hidden on Earth to slowly recharge its depleted energy.
Conversely the United Empire Loyalists
left what was to be the United States
and moved North to remain under British rule.
Conversely, his sister wrote
in the December 1952 issue
of Modern Screen Magazine that he
left Norma Jeane because she decided to pursue modeling
, and he didn't like the attention it created.
Conversely and module
Conversely, if
a highest weight
module is integrable
, then its highest weight
vector v satisfies
, where are complex numbers such that

A sublinear modulus
of continuity can easily found for any uniformly function
which is a bounded perturbations
of a Lipschitz function: if
is a uniformly continuous function
with modulus
of continuity
, and is a Lipschitz function
with uniform distance from
, then admits the sublinear
module of continuity
Conversely, at least for real-valued functions
, any bounded
, uniformly continuous perturbation
of a Lipschitz function
is a special uniformly continuous function ; indeed more
is true as shown below.
Conversely, a crossed
module with surjective boundary defines
a central extension.
Conversely, different types
of hulks exist including one that simply " swallows " the probe without yielding
a module, requiring the player to purchase
a new probe
( and possibly sell useful modules to raise the required funds
).
Conversely, a PXI
module installed
in a CompactPCI chassis would not utilize the additional clocking
and triggering features
of the PXI
module.
0.176 seconds.