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Conversely, the DHT is equivalent to computing the DFT of x < sub > n </ sub > multiplied by 1 + i, then taking the real part of the result.

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## Some Related Sentences

Conversely and is

__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__

**,**an adiabatic process that

__is__irreversible and extracts no work

__is__in an isenthalpic process

**,**such as viscous drag

**,**progressing towards a nonnegative change in entropy

**.**

__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

**.**

__Conversely__

**the**use

**of**true brass seems

**to**have declined in Western Europe during this period in favour

**of**gunmetals and other mixed alloys but

**by**

**the**end

**of**

**the**first Millennium AD brass artefacts are found in Scandinavian graves in Scotland

**,**brass was being used in

**the**manufacture

**of**coins in Northumbria and there

__is__archaeological and historical evidence for

**the**production

**of**brass in Germany and The Low Countries areas rich in calamine ore which would remain important centres

**of**brass making throughout

**the**medieval period

**,**especially Dinant – brass objects are still collectively known as dinanterie in French

**.**

__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__

**,**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

**.**

__Conversely__

**,**modern biological sciences ( including even concepts such as molecular ecology ) are intimately entwined and dependent on

**the**methods developed through biotechnology and what

__is__commonly thought

**of**as

**the**life sciences industry

**.**

__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__

**,**

**the**islands do not receive

**the**upwellings ( cold streams ) that affect

**the**West African coast

**,**so

**the**air temperature

__is__cooler than in Senegal

**,**but

**the**sea

__is__actually warmer

**,**because

**the**orographic relief

**of**some islands

**,**as Sao Miguel with steep mountains

**,**cover it with rich woods and luxuriant vegetation where

**the**dense moisture condense and soak

**the**plants

**,**rocks

**,**soil

**,**logs

**,**moss etc

**.**

__Conversely__in francophone Canada

**,**one hundredth

**of**a Canadian dollar

__is__informally called a sou ( penny ), though cent

__is__official in both English and French

**.**

__Conversely__

**,**an absence

**of**secure cycle-parking

__is__a recurring complaint

**by**cyclists from cities with low modal share

**of**cycling

**.**

* 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 and equivalent

__Conversely__

**,**

__equivalent__housing in black neighborhoods

**is**far more affordable

**to**those who are unable or unwilling

**to**pay a premium

**to**live in white neighborhoods

**.**

__Conversely__

**,**a thick

**,**smooth painted concrete ceiling would be

**the**acoustic

__equivalent__

**of**a mirror

**,**and would have an absorption coefficient very close

**to**0

**.**

__Conversely__

**,**because finding square roots modulo a composite number

**is**probabilistic polynomial-time

__equivalent__

**to**factoring that number

**,**any integer factorization algorithm can be used

**to**efficiently identify a congruence

**of**squares

**.**

Conversely and computing

__Conversely__

**,**when one wants

**to**compute an arbitrary number ( N )

**of**discrete samples

**of**one cycle

**of**a continuous DTFT

**,**it can be done

**by**

__computing__

**the**relatively simple

**DFT**

**of**s

**<**

**sub**

**>**N

**</**

**sub**>, as defined above

**.**

__Conversely__

**,**any equation can take

**the**canonical form f (

**x**) = 0

**,**so equation solving

**is**

**the**same thing as

__computing__( or finding ) a root

**of**a function

**.**

Conversely and x

__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__

**,**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__

**,**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

**.**

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__

**,**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__

**,**if dφ

**<**

**sub**

**>**

__x__

**</**

**sub**

**>**

**is**an isomorphism

**then**there

**is**an open neighborhood U

**of**

__x__such that φ maps U diffeomorphically onto its image

**.**

)

__Conversely__**,**a critical point__x__**of**f can be analysed**by**considering**the**second derivative**of**f at__x__:

Conversely and <

__Conversely__

**,**some elements do not maintain distinct allotropes in different phases – for example phosphorus has numerous solid allotropes

**,**which all revert

**to**

**the**same P

__<__

**sub**

**>**4

**</**

**sub**

**>**form when melted

**to**

**the**liquid state

**.**

__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**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**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__

**,**a high pH

**,**low CO

__<__

**sub**

**>**2

**</**

**sub**>, or low 2

**,**3 BPG favors

**the**relaxed form which can better bind oxygen

**.**

__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**>.

__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__every positive functional φ gives a corresponding inner product

__<__ƒ

**,**g ><

**sub**

**>**φ

**</**

**sub**

**>**= φ ( g * ƒ ).

__Conversely__

**,**if M

**is**positive definite

**,**it has an eigendecomposition P

__<__sup >−

**1**

**</**sup

**>**DP where P

**is**unitary

**,**D diagonal

**,**and all diagonal elements

**of**D are

**real**and positive

**.**

__Conversely__

**,**any Hermitian positive semidefinite matrix M can be written as M = A

__<__sup >*</ sup

**>**A ; this

**is**

**the**Cholesky decomposition

**.**

__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__

**,**for

**the**previous range from 2

__<__sup

**>**51

**</**

**sub**

**>**

**to**2

__<__sup

**>**52

**</**

**sub**>,

**the**spacing

**is**0

**.**5

**,**etc

**.**

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