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Some Related Sentences
Conversely and only
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, if ƒ: C → C is
a function
which is differentiable when regarded as
a function on R < sup > 2 </ sup >, then ƒ is complex differentiable if and
only if
the Cauchy – Riemann equations hold
.
Conversely, if
the amount
of fat is increased
, increasing
the number
of calories ingested will
only add weight
.
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, in functional code
, the output value
of a function depends
only on
the arguments that are input
to the function
, so calling
a function f twice
with the same value for an argument x will produce
the same result f ( x ) both times
.
Conversely, if
the data are sparse — that is
, if
only K out
of N Fourier coefficients are nonzero — then
the complexity can be reduced
to O ( K log N log ( N / K )), and this has been demonstrated
to lead
to practical speedups compared
to an ordinary FFT for N / K > 32
in a large-N example ( N = 2 < sup > 22 </ sup >) using
a probabilistic approximate algorithm (
which estimates
the largest K coefficients
to several decimal places ).
Conversely, the symbol width could be set
at 8
, even if
only values 0 and 1 are used ; these data would
only require
a 2-color table
.
Conversely we have
a b if and
only if
a < b or
a ~ b
. This is
the reason for using
the notation ""; "≤" can be confusing for
a preorder that is not anti-symmetric
, it
may suggest that
a ≤ b implies that
a < b or
a
Conversely, Baptists are underrepresented
, a reflection
of their quite recent expansion
in numbers ; there has been
only one Roman Catholic president
, although they are currently
the largest single denomination
, and there have been no Lutheran
, Pentecostal
, or Latter Day Saint presidents
.
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, a metrizable space is separable if and
only if it is second countable
, which is
the case if and
only if it is Lindelöf
.
Conversely, jumper classes are scored objectively
, based entirely on
a numerical score determined
only by whether
the horse attempts
the obstacle
, clears it
, and finishes
the course
in the allotted time
.
Conversely, if children are found
to only develope after undergoing treatment it would challenge
the traumagenic model
.
Conversely, of the 253 known stable nuclides
, only five have both an odd number
of protons and odd number
of neutrons: hydrogen-2 ( deuterium ), lithium-6
, boron-10
, nitrogen-14
, and tantalum-180m
.
Conversely, a German controlled major rail head lay
only to the north
of their positions
.
Conversely, a wing dam is
a structure that
only partly restricts
a waterway
, creating
a faster channel that resists
the accumulation
of sediment
.
Conversely, a small farm surrounding
the owner's dwelling is called
a smallholding and is generally focused on self-sufficiency
with only the surplus being sold
.
Conversely, abstract patterns
in science
, maths
, or language
may be observable
only by analysis
.
Conversely, Hill would play
only 47 games
in the following four seasons due
to a recurring ankle injury
.
Conversely, even though nearly 60 percent
of voters selected
the Democratic Governor Gary Locke
in 2000
, in 2004
the Democratic gubernatorial nominee Christine Gregoire received
only 41 percent
of the vote
.
Conversely, North Korea refused
to speak
in the context
of six-party talks
, stating that it would
only accept bilateral talks
with the United States
.
Conversely, following
the diurnal motion
with the camera
, to eliminate it on
the photograph
, can best be done
with an equatorial mount
, which requires adjusting
the right ascension
only ;
a telescope
may have
a motor
to do that automatically ( sidereal drive ).
Conversely and users
Conversely, if
a source file's modification time is
in the future
, it triggers unnecessary rebuilding
, which may inconvenience
users.
Conversely, the ease and simplicity
of dBase presented
a challenge as
its users became more expert and as professional programmers were drawn
to it
.
Conversely, users can view content
only at or below
their own security level ( i
. e
. secret researchers can view public or secret files
, but
may not view top-secret files ; no read-up ).
Conversely, the users of some innovative pronunciations such as " Febuary " ( for February )
may regard
the historically ( and phonetically ) authentic version as
a pedantic spelling pronunciation
.
Conversely, users can
only view content
at or above
their own integrity level (
a monk
may read
a book written by
the high priest
, but
may not read
a pamphlet written by
a lowly commoner ).
Conversely, overly long retention can overwhelm
users with slow computers or network connections by making
the article
lists inordinately large
.

"
Conversely, he says
of hashish
users: " Ho there!
Conversely and interested
Conversely, they are
interested in the role
of vegetation on climate and weather
.
Conversely, someone's " dance card is full " implies that even though they
may be
interested, they have no time for another person
.
Conversely, some applications
of geophones are
interested only in very local events
.
Conversely, Gaddafi was more
interested in a complete merging
of Libya and Tunisia into
the Arab Islamic Republic
.
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, 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:
0.299 seconds.