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Every polynomial P in x corresponds to a function, ƒ ( x )

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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 P

*

__Every__quadratic Bézier curve is also**a**cubic Bézier curve**,**and more generally**,**every degree n Bézier curve is also**a**degree m curve for any m > n. In detail**,****a**degree n curve with control points__P__< sub > 0 </ sub >, …,__P__< sub > n </ sub > is equivalent**(**including the parametrization**)****to**the degree n + 1 curve with control points__P__'< sub > 0 </ sub >, …,__P__'< sub > n + 1 </ sub >, where.__Every__prime ideal

__P__

**in**

**a**Boolean ring R is maximal: the quotient ring R /

__P__is an integral domain and also

**a**Boolean ring

**,**so it is isomorphic

**to**the field F < sub > 2 </ sub >, which shows the maximality of

__P__. Since maximal ideals are always prime

**,**prime ideals and maximal ideals coincide

**in**Boolean rings.

The definition of permanent agriculture as that which can be sustained indefinitely was supported by Australian

__P__. A. Yeomans**in**his 1973 book Water for__Every__Farm.
Jeffrey

__P__. Dennis**,**author of the journal article " The Same Thing We Do__Every__Night: Signifying Same-Sex Desire**in**Television Cartoons ," argued that SpongeBob and Sandy are not romantically**in**love**,**while adding that he believed that SpongeBob and Patrick " are paired with arguably erotic intensity.__Every__object would also have

**a**read timestamp

**,**and if

**a**transaction T < sub > i </ sub > wanted

**to**write

**to**object

__P__

**,**and the timestamp of that transaction is earlier than the object's read timestamp

**(**TS

**(**T < sub > i </ sub >) < RTS

**(**

__P__)), the transaction T < sub > i </ sub > is aborted and restarted.

__Every__such line meets the sphere of radius one centered

**in**the origin exactly twice

**,**say

**in**

__P__=

**(**

**x**

**,**y

**,**z

**)**and its antipodal point (−

**x**

**,**− y

**,**− z ).

" Jeffrey

__P__. Dennis**,**author of " The Same Thing We Do__Every__Night: Signifying Same-Sex Desire**in**Television Cartoons ," argued that the romantic connection between Velma and Daphne Blake is " mostly wishful thinking " because Velma and Daphne " barely acknowledge each other's existence.
#

__Every__submodule of M is**a**direct summand: for every submodule N of M**,**there is**a**complement__P__such that M = N ⊕__P__.

Every and x

__Every__Hilbert space X is

**a**Banach space because

**,**by definition

**,**

**a**Hilbert space is complete with respect

**to**the norm associated with its inner product

**,**where

**a**norm and an inner product are said

**to**be associated if for all

__x__∈ X.

*

__Every__pair of congruence relations for an unknown integer__x__**,**of the form__x__≡ k**(**mod**a****)**and__x__≡ l**(**mod b ), has**a**solution**,**as stated by the Chinese remainder theorem ;**in**fact the solutions are described by**a**single congruence relation modulo ab.
*

__Every__finite topological space gives rise**to****a**preorder on its points**,****in**which__x__≤ y if and only if__x__belongs**to**every neighborhood of y**,**and every finite preorder can be formed as the specialization preorder of**a**topological space**in**this way.__Every__non-zero number

__x__

**,**real or complex

**,**has n different complex number nth roots including any positive or negative roots

**,**see complex roots below.

__Every__locally constant

**function**from the real numbers R

**to**R is constant by the connectedness of R. But the

**function**f from the rationals Q

**to**R

**,**defined by f

**(**

__x__

**)**= 0 for

__x__< π

**,**and f

**(**

__x__

**)**= 1 for

__x__> π

**,**is locally constant

**(**here we use the fact that π is irrational and that therefore the two sets

__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.

__Every__real number

__x__is surrounded by an infinitesimal " cloud " of hyperreal numbers infinitely close

**to**it.

0.416 seconds.