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Every empty function is constant, vacuously, since there are no x and y in A for which f ( x ) and f ( y ) are different when A is the empty set.

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## Some Related Sentences

Every and empty

__Every__regular language

**is**context-free

**,**every context-free language

**,**not containing

**the**

__empty__string

**,**

**is**context-sensitive

**and**every context-sensitive language

**is**recursive

**and**every recursive language

**is**recursively enumerable

**.**

__Every__context-sensitive grammar

**which**does not generate

**the**

__empty__string can be transformed into an equivalent one

**in**Kuroda normal form

**.**

__Every__time Bugs dares Sam to " step across that line ", he can't help but do so

**,**even if he steps off into

__empty__space or down a mine shaft

**.**

__Every__transaction

**is**also given an initially

__empty__

**set**of transactions upon

**which**it depends

**,**

**,**

**and**an initially

__empty__

**set**of old objects

**which**it updated

**,**

**.**

In

**the**pilot episode**,**a colleague accuses Longmire of drunk driving after__empty__beer cans**are**found**in**his car ; Longmire explains**the**presence of**the**__empty__beer cans by saying "__Every__man who's ever had a beer with me will tell you**the**same thing-I drink Rainier**,**always have**,**always will**.**

Every and function

__Every__such subset has a smallest element

**,**so to specify our choice

__function__we can simply say that it maps each

**set**to

**the**least element of that

**set**

**.**

__Every__contraction mapping

**is**Lipschitz continuous

**and**hence uniformly continuous

**(**

**for**a Lipschitz continuous

__function__

**,**

**the**

**constant**k

**is**

**no**longer necessarily less than 1 ).

__Every__effectively calculable

__function__

**(**effectively decidable predicate

**)**

**is**general recursive italics

__Every__bijective

__function__g has an inverse g < sup >− 1 </ sup >, such that gg < sup >− 1 </ sup > = I ;

__Every__entire

__function__can be represented as a power series that converges uniformly on compact sets

**.**

__Every__holomorphic

__function__can be separated into its real

**and**imaginary parts

**,**

**and**each of these

**is**a solution of Laplace's equation on R < sup > 2 </ sup >.

__Every__completely multiplicative

__function__

**is**a homomorphism of monoids

**and**

**is**completely determined by its restriction to

**the**prime numbers

**.**

__Every__time another object or customer enters

**the**line to wait

**,**they join

**the**end of

**the**line

**and**represent

**the**“ enqueue ”

__function__

**.**

__Every__type that

**is**a member of

**the**type class defines a

__function__that will extract

**the**data from

**the**string representation of

**the**dumped data

**.**

__Every__output of an encoder can be described by its own transfer

__function__

**,**

**which**

**is**closely related to

**the**generator polynomial

**.**

__Every__continuous

__function__

**in**

**the**

__function__space can be represented as a linear combination of basis functions

**,**just as every vector

**in**a vector space can be represented as a linear combination of basis vectors

**.**

Every and is

__Every__legislator from Brasstown Bald to Folkston

__is__going to have his every vote subjected to

**the**closest scrutiny as a test of his political allegiances

**,**not his convictions

**.**

__Every__detail

**in**his interpretation has been beautifully thought out

**,**

**and**of these I would especially cite

**the**delicious laendler touch

**the**pianist brings to

**the**fifth variation

**(**an obvious indication that he

__is__playing with Viennese musicians

**)**

**,**

**and**

**the**gossamer shading throughout

**.**

__Every__taxpayer

__is__well aware of

**the**vast size of our annual defense budget

**and**most of our readers also realize that a large portion of these expenditures go

**for**military electronics

**.**

__Every__few days

**,**

**in**

**the**early morning

**,**as

**the**work progressed

**,**twenty men would appear to push it ahead

**and**to shift

**the**plank foundation that distributed its weight widely on

**the**Rotunda pavement

**,**supported as it

__is__by ancient brick vaulting

**.**

__Every__dream

**,**

**and**this

__is__true of a mental image of any type even though it may be readily interpreted into its equivalent of wakeful thought

**,**

__is__a psychic phenomenon

**for**

**which**

**no**explanation

__is__available

**.**

__Every__library borrower

**,**or at least those whose taste goes beyond

**the**five-cent fiction rentals

**,**knows what it

__is__to hear

**the**librarian say apologetically

**,**`` I'm sorry

**,**but we don't have that book

**.**

__Every__community

**,**if it

__is__alive has a spirit

**,**

**and**that spirit

__is__

**the**center of its unity

**and**identity

**.**

The restricted principle "

__Every__partially ordered**set**has a maximal totally ordered subset "__is__also equivalent to AC over ZF**.**__Every__natural-born citizen of a foreign state who

__is__also an American citizen

**and**every natural-born American citizen who

__is__a citizen of a foreign land owes a double allegiance

**,**one to

**the**United States

**,**

**and**one to his homeland

**(**

**in**

**the**event of an immigrant becoming a citizen of

**the**US ), or to his adopted land

**(**

**in**

**the**event of an emigrant natural born citizen of

**the**US becoming a citizen of another nation ).

__Every__line of written text

__is__a mere reflection of references from any of a multitude of traditions

**,**or

**,**as Barthes puts it

**,**"

**the**text

__is__a tissue of quotations drawn from

**the**innumerable centres of culture "; it

__is__never original

**.**

__Every__year

**,**on

**the**last Sunday

**in**April

**,**

**there**

__is__an ice fishing competition

**in**

**the**frozen estuarine waters of

**the**Anadyr River's mouth

**.**

__Every__lattice element of

**the**structure

__is__

**in**its proper place

**,**whether it

__is__a single atom or a molecular grouping

**.**

1.384 seconds.