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* Every irreducible polynomial over k has distinct roots.

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## Some Related Sentences

Every and irreducible

__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__Heyting algebra with exactly one coatom is subdirectly

__irreducible__, whence every Heyting algebra can be made an SI by adjoining a new top

**.**

*****

__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 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__delta operator '

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

__polynomial__sequence defined by three conditions:

*****

__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 over

The restricted principle "

__Every__partially ordered set**has**a maximal totally ordered subset " is also equivalent to AC__over__ZF**.**__Every__six months the presidency rotates between the states, in an order predefined by the Council's members, allowing each state to preside

__over__the body

**.**

__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__June, Ellensburg hosts Dachshunds on Parade, an event that draws Dachshund dog owners from all

__over__the Northwest

**.**

__Every__year sidecar racers travel from all

__over__the UK to Knockhill in Scotland to race in the prestigious ' Jock Taylor Memorial Trophy ' race

**.**

__Every__major commercial transport and almost every military jet built in the United States

__over__the last 40 years

**has**been tested in this facility

**.**

__Every__car uses either a 5

**.**0 L Ford " Boss 302 " SVO or a 5

**.**0 L Chevrolet small block race-engine ( depending on the make )-capable of producing between 460 and 485 kW ( 620 — 650 bhp ) of power, but generally quoted as a little

__over__450 kW ( 600 bhp ) in race trim

**.**

__Every__character in the novel — both men and women — knows their place, and the traditional stereotypes of gender roles are repeated

__over__and

__over__again

**.**

__Every__Turing machine computes a certain fixed partial computable function from the input strings

__over__its alphabet

**.**

__Every__Calan Mai, the two would fight

__over__Creiddylad, until a battle on Judgement Day, in which the victor would keep her forever

**.**

Controversy ensued

__over__the use of the phrase "__Every__seat lost to the government is a seat sold to the Boers " as the Unionists waged a personalised campaign against Liberal critics of the war – some posters even portrayed Liberal MPs praising President Kruger and helping him to haul down the Union Jack**.**__Every__year, the post office also creates a special Christmas hand-cancellation pictorial postmark for use during December, which also attracts mail from all

__over__the world

**.**

A quotation attributed to Kolmogorov is into English: "

__Every__mathematician believes that he is ahead__over__all others**.**__Every__August the Mountain Mama Road Bike Challenge brings cyclists from all

__over__the country to challenge themselves on the steep roads of Highland County

**.**

The argument

__over__the quality of Fitzgerald ’ s translation of the Rubaiyat**has**, according to Dougan, diverted attention from a fuller understanding of the deeply esoteric message contained in Omar ’ s actual material – "__Every__line of the Rubaiyat**has**more meaning than almost anything you could read in Sufi literature ".0.419 seconds.