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Conversely, if we pick every member of the same population with property and ask " what proportion of these have property?

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## Some Related Sentences

Conversely and if

__Conversely__

**,**

__if__statistics were uncovered which contradicted a cherished theory

**,**

**the**sources were denounced as faulty.

__Conversely__

**,**experimenters would consider as impressive such statements as

**the**following

**,**which

**,**

__if__they turned out to be hits

**,**are so unusual as to be really significant:

__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 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__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__

**,**

__if__

**the**second theory is correct

**,**then

**the**Athenians were merely reacting to

**the**Persians attacking them.

__Conversely__

**the**equilibrium position is said to be

**"**far to

**the**left

**"**

__if__hardly any product is formed from

**the**reactants.

__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__

**,**

__if__

**the**source

**of**waves is moving away from

**the**observer

**,**each wave is emitted from a position farther from

**the**observer than

**the**previous wave

**,**so

**the**arrival time between successive waves is increased

**,**reducing

**the**frequency.

__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.

If neither A nor B includes

**the**idea**of**existence**,**then**"**some A are B**"**simply adjoins A to B.__Conversely__**,**__if__A or B do include**the**idea**of**existence in**the**way that**"**triangle**"**contains**the**idea**"**three angles equal to two right angles ", then**"**A exists**"**is automatically true**,****and****we****have**an ontological proof**of**A's existence.__Conversely__

**,**

__if__

**the**measured potential is negative

**,**

**the**electrode is more oxidizing than

**the**SHE ( such as Zn in ZnSO < sub > 4 </ sub > where

**the**standard electrode potential is − 0. 76 V ).

__Conversely__

**,**

__if__

**the**firm is able to get bulk discounts

**of**an input

**,**then it could

**have**economies

**of**scale in some range

**of**output levels even

__if__it has decreasing returns in production in that output range.

__Conversely__

**,**daylight stock shot in daylight will look normal

**,**but orange

__if__shot under tungsten lights.

__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 and we

__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__

**,**specifying

**the**symmetry can define

**the**structure

**,**or at least clarify

**what**

__we__mean by an invariant

**,**geometric language in which to discuss it ; this is one way

**of**looking at

**the**Erlangen programme.

__Conversely__

**,**a scientific antirealist or instrumentalist argues that science does not aim ( or at least does not succeed ) at truth

**and**that

__we__should not regard scientific theories as true.

__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__

**,**

__we__understand Cleopatra at her death as

**the**transcendent queen

**of**“ immortal longings ” because

**the**container

**of**her mortality can no longer restrain her: unlike Antony

**,**she never melts

**,**but sublimates from her very earthly flesh to ethereal fire

**and**air .”

__Conversely__

__we__come to understand Cleopatra in that

**the**container

**of**her mortality can no longer restrain her.

**"**

__Conversely__

**,**Jeffrey Tucker

**of**

**the**Ludwig von Mises Institute has argued that

**"**The whole scene — which anticipated so much

**of**

**the**technology

__we__

**have**today but

**,**strangely

**,**not email or texting — reflected

**the**ethos

**of**time: a love

**of**progress

**and**a vision

**of**a future that stayed on course ...

__Conversely__

**,**

**if**

__we__accept that human beings do

**have**( libertarian or incompatibilist ) free will

**,**then

__we__must accept that

**the**world is not entirely governed by natural law.

__Conversely__

**,**starting from this equivalence

__we__can recover U as

**the**composite Rel → Sup → Set

**of**

**the**forgetful functor for Sup

**with**this embedding

**of**Rel in Sup.

__Conversely__

**,**

__we__can deduce that a minority

**of**

**the**helots were Laconian

**,**thus making this

**the**one

**and**only revolt

**of**their history.

__Conversely__

**,**

__we__will explore how insights from science can be useful

**,**not only to develop technology

**and**improve our material comfort

**,**but to reduce

**the**suffering

**of**individuals

**,**families

**,**

**and**society.

__Conversely__

**,**

**if**

__we__say that Paul has

**the**goal

**of**going into graduate school

**,**he may not necessarily believe that he will be able to accomplish this.

__Conversely__

**,**given a Hopf algebra whose coalgebra structure is given above

**,**

__we__can recover a formal group law F from it.

__Conversely__

**,**given a Boolean ring R

**,**

__we__define

**the**join operation by a ' b = a + b + ab

**,**

**and**

**the**meet operation as multiplication.

__Conversely__

**,**given a configuration

**of**a conic

**and**six lines which tangent to it in

**the**plane

**,**

__we__may define

**the**double cover

**of**

**the**plane ramified over

**the**union

**of**

**these**6 lines.

__Conversely__

**,**

**if**

**the**length-scale decreases

**and**

**the**physical parameters approach fixed values

**,**then

__we__

**have**ultraviolet fixed points.

__Conversely__

**,**given any element u ∈ F ( A )

__we__may define a natural transformation Φ: Hom ( A ,–) → F via

__Conversely__

**,**in

**the**limit

__we__

**have**infinitely rapid

**,**or diabatic passage ;

**the**configuration

**of**

**the**state remains unchanged:

__Conversely__

**,**

**if**G contains a proper non-trivial normal subgroup N

**,**then

**the**composition

**of**

**the**natural surjective group homomorphism G → G / N

**with**

**the**regular representation

**of**G / N produces a representation π

**of**G which has kernel N. Taking χ to be

**the**character

**of**some non-trivial subrepresentation

**of**π

**,**

__we__

**have**a character satisfying

**the**hypothesis in

**the**direct statement above.

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