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* Every Jacobi-like polynomial sequence can have its domain shifted and / or scaled so that its interval of orthogonality is, and has Q

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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__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 sequence

__Every__

__sequence__

**that**ran off to infinity in the real line will then converge to ∞ in this compactification.

__Every__

__sequence__

**can**

**,**thus

**,**be read in three reading frames

**,**each

**of**which will produce a different amino acid

__sequence__( in the given example

**,**Gly-Lys-Pro

**,**Gly-Asn

**,**

**or**Glu-Thr

**,**respectively ).

__Every__synset contains a group

**of**synonymous words

**or**collocations ( a collocation

**is**a

__sequence__

**of**words

**that**go together to form a specific meaning

**,**such as " car pool "); different senses

**of**a word are in different synsets.

__Every__gap

__sequence__

**that**contains 1 yields a correct sort ; however

**,**the properties

**of**thus obtained versions

**of**Shellsort may be very different.

__Every__variable X < sub > i </ sub > in the

__sequence__

**is**associated with a Bernoulli trial

**or**experiment.

__Every__

__sequence__in principle

**has**a generating function

**of**each type ( except

**that**Lambert

**and**Dirichlet series require indices to start at 1 rather than 0 ), but the ease with which they

**can**be handled may differ considerably.

__Every__time he

**is**thrown out

**of**the house

**,**he

**is**shown wearing the same shirt although he does not always wear it when he

**is**thrown out ( the producers never shot a second

__sequence__with Jazz being thrown out

**of**the house

**,**only adjusting the original scene for time purposes ; an exception

**is**in the episode " Community Action ", where Jazz was thrown out along with a lifesize cardboard cut-out

**of**Bill Cosby

**,**complete with a blooper showing Jeff Townes reshooting his flying off the house several times ).

__Every__year

**,**in numerical

__sequence__starting from 2007-07-07

**and**continuing through 2012-12-12 hoopers dance in every city

**and**country to raise money

**and**donate hoops to others who can't afford them.

For example

**,**to study the theorem “__Every__bounded__sequence__**of**real numbers**has**a supremum ” it**is**necessary to use a base system which**can**speak**of**real numbers**and**sequences**of**real numbers.__Every__Turán graph

**is**a cograph ;

**that**

**is**

**,**it

**can**be formed from individual vertices by a

__sequence__

**of**disjoint union

**and**complement operations.

*****Metroid:

__Every__game in the Metroid series

**has**ended with either a timed self-destruct escape

__sequence__

**,**

**or**a cut-scene showing the area explode

**,**with the exception

**of**Metroid 2.

:#

__Every__element**of**D**is**the least upper bound**of**a countable increasing__sequence__**of**isolated elements.*****Conway's cosmological theorem:

__Every__

__sequence__eventually splits into a

__sequence__

**of**" atomic elements ", which are finite subsequences

**that**never again interact with their neighbors.

Every and can

__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__information exchange between living organisms — i. e. transmission

**of**signals

**that**involve a living sender

**and**receiver

__can__be considered a form

**of**communication ;

**and**even primitive creatures such as corals are competent to communicate.

__Every__context-sensitive grammar which does not generate the empty string

__can__be transformed into an equivalent one in Kuroda normal form.

__Every__grammar in Chomsky normal form

**is**context-free

**,**

**and**conversely

**,**every context-free grammar

__can__be transformed into an equivalent one which

**is**in Chomsky normal form.

__Every__module over a division ring

**has**a basis ; linear maps between finite-dimensional modules over a division ring

__can__be described by matrices

**,**

**and**the Gaussian elimination algorithm remains applicable.

__Every__entire function

__can__be represented as a power series

**that**converges uniformly on compact sets.

Group actions

**/**representations:__Every__group G__can__be considered as a category with a single object whose morphisms are the elements**of**G. A functor from G to Set**is**then nothing but a group action**of**G on a particular set**,**i. e. a G-set.__Every__hyperbola

**is**congruent to the origin-centered East-West opening hyperbola sharing

**its**same eccentricity ε (

**its**shape

**,**

**or**degree

**of**" spread "),

**and**

**is**also congruent to the origin-centered North-South opening hyperbola with identical eccentricity ε —

**that**

**is**

**,**it

__can__be rotated

**so**

**that**it opens in the desired direction

**and**

__can__be translated ( rigidly moved in the plane )

**so**

**that**it

**is**centered at the origin.

__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__species

__can__be given a unique (

**and**

**,**one hopes

**,**stable ) name

**,**as compared with common names

**that**are often neither unique nor consistent from place to place

**and**language to language.

__Every__vector v in determines a linear map from R to taking 1 to v

**,**which

__can__be thought

**of**as a Lie algebra homomorphism.

__Every__use

**of**modus tollens

__can__be converted to a use

**of**modus ponens

**and**one use

**of**transposition to the premise which

**is**a material implication.

__Every__adult

**,**healthy

**,**sane Muslim who

**has**the financial

**and**physical capacity to travel to Mecca

**and**

__can__make arrangements for the care

**of**his

**/**her dependants during the trip

**,**must perform the Hajj once in a lifetime.

*****

__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__preorder

__can__be given a topology

**,**the Alexandrov topology ;

**and**indeed

**,**every preorder on a set

**is**in one-to-one correspondence with an Alexandrov topology on

**that**set.

__Every__binary relation R on a set S

__can__be extended to a preorder on S by taking the transitive closure

**and**reflexive closure

**,**R < sup >+=</ sup >.

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