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Every polynomial function is a rational function with.

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## Some Related Sentences

Every and polynomial

__Every__output of an encoder can be described by its own transfer

**function**, which

**is**closely related to the generator

__polynomial__

**.**

*

__Every__root of**a**monic__polynomial__whose coefficients are algebraic integers**is**itself an algebraic integer**.**__Every__

__polynomial__in can be factorized into polynomials that are irreducible over F

**.**This factorization

**is**unique up to permutation of the factors and the multiplication of the factors by nonzero constants from F ( because the ring of polynomials over

**a**field

**is**

**a**unique factorization domain whose units are the nonzero constant polynomials ).

__Every__delta operator ' has

**a**unique sequence of " basic polynomials ",

**a**

__polynomial__sequence defined by three conditions:

*

__Every__irreducible closed subset of P < sup > n </ sup >( k ) of codimension one**is****a**hypersurface ; i**.**e., the zero set of some homogeneous__polynomial__**.**
*

__Every__Jacobi-like__polynomial__sequence can have its domain shifted and / or scaled so that its interval of orthogonality**is**, and has Q
*

__Every__Laguerre-like__polynomial__sequence can have its domain shifted, scaled, and / or reflected so that its interval of orthogonality**is**, and has Q =
*

__Every__Hermite-like__polynomial__sequence can have its domain shifted and / or scaled so that its interval of orthogonality**is**, and has Q__Every__field and every

__polynomial__ring over

**a**field ( in arbitrarily many variables )

**is**

**a**reduced ring

**.**

In mathematics, an integer-valued

__polynomial__( also known as**a**numerical__polynomial__) P ( t )**is****a**__polynomial__whose value P ( n )**is**an integer for every integer n**.**__Every____polynomial__**with**integer coefficients**is**integer-valued, but the converse**is**not true**.**

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__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

**.**

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