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Some Related Sentences
Conversely and every
Conversely, every Bayesian procedure
is admissible
.
Conversely, every point on
the line can be interpreted as
a number in an ordered continuum which includes
the real numbers
.
Conversely every partition
of comes from an equivalence relation in this way
, according
to which if and only if and belong
to the same set
of the partition
.
Conversely, every formally real field can be equipped with
a compatible total order
, that will turn it into an ordered field
.
Conversely, every preorder
is the reachability relationship
of a directed graph ( for instance
, the graph that has an edge from x
to y for
every pair ( x
, y ) with x ≤ y ).
Conversely, though
every president from Washington
to John Quincy Adams can be definitely assigned membership in an Anglican or Unitarian body
, the significance
of these affiliations
is often downplayed as unrepresentative
of their true beliefs
.
Conversely, birds
of prey-which show distinct reverse sexual dimorphism — tend
to be monogamous for long periods or mate for life ; some species like
the Snail kite will choose new mates
every year
, polygyny
is noted in many Harriers and polyandry has been observed in
the Harris ' Hawk ( notable for being
the only bird
of prey
to regularly live and hunt in family and social groups ) and
the aforementioned Galapagos hawk
.
Conversely, if
the diagonal quantities are zero in
every basis
, then
the wavefunction component:
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
.

We define Thm ( C )
to be
the set
of all formulas that are valid in C
. Conversely, if X
is a set
of formulas
, let Mod ( X ) be
the class
of all frames which validate
every formula from X
.
Conversely, if we pick
every member
of the same population with property and ask " what proportion
of these have property?
Conversely, every admissible statistical procedure
is either
a Bayesian procedure or
a limit
of Bayesian procedures
.

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 ).

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, in
a preadditive category
, every binary equaliser can be constructed as
a kernel
.
Conversely, extra lives are earned by collecting heart points
, which are earned by defeating enemies or collecting Hearts
, with an extra life earned for
every 100 points earned
.
Conversely the building can be recovered from
the BN pair
, so that
every BN pair canonically defines
a building
.
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, every method for evaluating conditionals can be seen as
a way for performing revision
.
Conversely, we have
every opportunity
to prevent our lives from being boring
.
Conversely and Polish
Conversely, the young
Polish girls who were selected for " racially valuable traits " and sent
to Germany for Germanization were made
to join
the League as part
of the Germanization
.
Conversely Wojciechowski's concept aided
the governmental demand
to legitimize
the Polish acquirements in
the West
Conversely and space
Conversely, suppose that **ya
is in
the null
space of Af
.
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
.

* 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, 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, 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
.
0.165 seconds.