[permalink] [id link]
Some Related Sentences
Conversely and corresponding
Conversely every positive functional φ gives a
corresponding inner product < ƒ
, g >< sub > φ </ sub > = φ ( g
* ƒ ).
Conversely, if a suitable notion
of parallel transport is available
, then a
corresponding connection can be obtained by differentiation
.
Conversely, the
corresponding expression for computer
, powerful computers is preferred over
* strong computers
.
Conversely, if a set
of edges forms a forest
, then by repeatedly removing leaves from this forest it can be shown by induction that the
corresponding set
of columns is independent
.
Conversely, given a generalized Cartan matrix
, one can recover its
corresponding Lie algebra
.
Conversely, any effect observed in
an accelerated reference frame should also be observed in a gravitational field
of corresponding strength
.
Conversely, as with
any filter base
, the local basis allows
to get back the
corresponding neighbourhood filter as
.
Conversely, while Bayes rules with respect
to proper priors are virtually always admissible
, generalized Bayes rules
corresponding to improper priors need not yield admissible procedures
.
Conversely, one could define a potential
corresponding to pH as a potential difference between a solute and pH neutral water
, separated by porous membrane ( that is permeable
to hydrogen ions ).
Conversely, an increase in height without a
corresponding increase in airspeed will put the aircraft above a survivable un-cushioned impact height
, and eventually above a height where rotor inertia can be converted
to sufficient lift
to enable a survivable landing
.

Thus
, for example
, a quantity
X which is known
to lie in the range can be represented by the affine form
, for some k
. Conversely, the form implies that the
corresponding quantity
X lies in the range
.
Conversely, ketones tend
to combine with water
to form the
corresponding geminal diols
.
Conversely, each conserved quantity has a
corresponding symmetry
.
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, 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
.
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 partition
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, from a partial order
on a
partition of a set S one can construct a preorder
on S
. There is a 1-to-1 correspondence between preorders and pairs (
partition, partial order ).
Conversely and X
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
.

That is
, the motivational internalist believes that
there is
an internal
, necessary connection between one's conviction that
X ought
to be done and one's motivation
to do
X. Conversely, the motivational externalist ( or moral externalist ) claims that
there is no necessary
, internal connection between moral convictions and moral motives
.

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
.

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 B satisfies both
of the conditions 1 and 2
, then
there is a unique topology
on X for which B is a base ; it is called the topology generated by B
.
Conversely, if R is a symmetric
relation over a set
X, one can interpret it as describing
an undirected graph with the elements
of X as the vertices and the pairs in R as the edges
.

A hypergraph H may be represented by a bipartite graph BG as follows: the sets
X and E are the partitions
of BG
, and ( x < sub > 1 </ sub >, e < sub > 1 </ sub >) are connected with
an edge if and only if vertex x < sub > 1 </ sub > is contained in edge e < sub > 1 </ sub > in H
. Conversely, any bipartite graph with fixed parts and no unconnected nodes in the second part represents some hypergraph in the manner described above
.

for some real-valued functions a and b depending
, respectively
, on x and y
. Conversely, given
any such pair
of real-valued functions
, there exists a vector field
X satisfying 1
. and 2
.
Conversely, if
X is projective
, then the pullback
of under the closed immersion
of X into a projective space is very ample
.
Conversely, a complete variety is close
to being a projective variety: Chow's lemma states that if
X is a complete variety
, there is a projective variety Z and a birational morphism Z →
X.
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
.
0.198 seconds.