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Since p ( x ) is irreducible, this means that p ( x ) = k ( x − a ), for some k ∈ F

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## Some Related Sentences

Since and p

__Since__the hazards of poor communication are so great

**,**

__p__can be justified as

**a**habitable site only on the basis of unusual productivity such as

**is**made available by

**a**waterfall

**for**milling purposes

**,**

**a**mine

**,**or

**a**sugar maple camp.

__Since__1990

**,**AIX has served as the primary operating system

**for**the RS / 6000 series

**(**later renamed IBM eServer pSeries

**,**then IBM System

__p__

**,**and now IBM Power Systems ).

__Since__the early 20th century it has been commonly accepted

**that**Old Irish Bel

**(**l

**)**taine

**is**derived from

**a**Common Celtic * belo-te

**(**

__p__

**)**niâ

**,**meaning " bright fire "

**(**where the element * belo-might be cognate with the English word bale in ' bale-fire ' meaning ' white ' or ' shining '; compare Anglo-Saxon bael

**,**and Lithuanian / Latvian baltas / balts

**,**found in the name of the Baltic ; in Slavic languages byelo or beloye also

**means**' white ', as in Беларусь

**(**White Russia or Belarus

**)**or Бе ́ лое мо ́ ре Sea ).

__Since__all probabilities

__p__< sub > i </ sub > add up to one:

__p__< sub > 1 </ sub > +

__p__< sub > 2 </ sub > + ... +

__p__< sub >

**k**</ sub >

**=**1

**,**the expected value can be viewed as the weighted average

**,**with

__p__< sub > i </ sub >’ s being the weights:

~

__p__∨__p__.__Since____p__→__p__**is**true**(****this****is**Theorem 2. 08**,**which**is**proved separately**),**then ~__p__∨__p__must be true.__Since__2 < sup >( q

**−**1 )</ sup > ≡ 1

**(**mod q

**),**raising both sides of the congruence to the power

**x**gives 2 < sup >( q

**−**1

**)**

**x**</ sup > ≡ 1

**,**and since 2 < sup >

__p__</ sup > ≡ 1

**(**mod q

**),**raising both sides of the congruence to the power

**k**gives 2 < sup > kp </ sup > ≡ 1.

__Since__

__p__

**is**prime q

**−**1 must be

**a**multiple of

__p__. Of course

**,**if the number m

**=**< sup >( q

**−**1 )</ sup >⁄< sub >

__p__</ sub >

**is**odd

**,**then q will be even

**,**since it

**is**equal to mp + 1.

__Since__every central subgroup

**is**normal

**,**it follows

**that**every minimal normal subgroup of

**a**finite p-group

**is**central and has order

__p__. Indeed

**,**the socle of

**a**finite p-group

**is**the subgroup of the center consisting of the central elements of order

__p__.

__Since__lunch

**is**usually served between 2 and 4

__p__. m., another common time

**for**tapas

**is**weekend days around noon as

**a**

**means**of socializing before proper lunch at home.

Since and x

__Since__the map d restricts to 0 on I < sub >

__x__</ sub >< sup > 2 </ sup >

**(**the reader should verify

**this**

**),**d descends to

**a**map from I < sub >

__x__</ sub > / I < sub >

__x__</ sub >< sup > 2 </ sup > to the dual of the tangent space

**,**

**(**T < sub >

__x__</ sub > M )< sup >*</ sup >.

__Since__the joule

**is**also

**a**Watt-second and the common unit

**for**electricity sales to homes

**is**the kWh

**(**kilo-Watt-hour

**),**

**a**kWh

**is**thus 1000

**(**kilo

**)**

__x__3600 seconds

__Since__terms of linear equations cannot contain products of distinct or equal variables

**,**nor any power

**(**other than 1

**)**or other function of

**a**variable

**,**equations involving terms such as xy

**,**

__x__< sup > 2 </ sup >, y < sup > 1 / 3 </ sup >, and sin

**(**

__x__

**)**are nonlinear.

__Since__metallic radii are always biggest

**for**the highest coordination number

**,**correction

**for**less dense coordinations involves dividing by

__x__

**,**where 0 <

__x__< 1.

__Since__

**this**force varies with the position of the charge and by Coloumb's Law it

**is**defined at all points in space

**,**

**is**

**a**continuous function of the charge's position

**(**

__x__

**,**y

**,**z ).

__Since__the E1 component of nuclear EMP depends on the prompt gamma ray output

**,**which was only 0. 1 % of yield in Starfish Prime but can be 0. 5 % of yield in pure fission weapons of low yield

**,**

**a**10 kiloton bomb can easily be 5

__x__8 %

**=**40 % as powerful as the 1. 44 megaton Starfish Prime at producing EMP.

The transfer principle states

**that**true first order statements about R are also valid in * R. For example**,**the commutative law of addition**,**__x__+ y**=**y +__x__**,**holds**for**the hyperreals just as it does**for**the reals ; since R**is****a**real closed field**,**so**is*** R.__Since__**for**all integers n**,**one also has**for**all hyperintegers H. The transfer principle**for**ultrapowers**is****a**consequence of Łoś ' theorem of 1955.__Since__

**a**

**is**

**a**limit point of S

**,**W must contain

**a**point

__x__in S. This

__x__

**∈**S

**is**not covered by the family C

**,**because every U in C

**is**disjoint from V < sub > U </ sub > and hence disjoint from W

**,**which contains

__x__.

__Since__it lacks

**a**compiler

**,**it cannot be used to produce executable files

**,**although its program source code can still be compiled by

**a**QuickBASIC 4. 5

**,**PDS 7.

__x__or VBDOS 1. 0 compiler

**,**if available.

__Since__2008

**,**

**a**set of TCP / IP routines

**for**QuickBASIC 4.

__x__and 7. 1 has revitalized

**some**interest in the software.

Since and is

**(**

__Since__the time-span of the nation-state coincides roughly with the separate existence of the United States as an independent entity

**,**it

__is__perhaps natural

**for**Americans to think of the nation as representative of the highest form of order

**,**something permanent and unchanging.

__Since__it

__is__not far from Viareggio

**,**he will visit Puccini's house

**,**as he never fails to do

**,**to pay his respects to the memory of the composer of La Boheme

**,**which he considers one of Puccini's masterpieces.

__Since__attack serves to stimulate interest in broadcasts

**,**I added to my opening statement

**a**sentence in which I claimed

**that**German youth seemed to lack the enthusiasm which

__is__

**a**necessary ingredient of anger

**,**and might be classified as uninterested and bored rather than angry.

__Since__the air

__is__

**a**continuum

**,**the network of communication remains intact regardless of the positions or motions of the points

**(**the people

**)**in the net.

__Since__

**a**civilizational crisis involves also

**a**crisis in private interests and in the ruling class

**,**reaction

__is__normally found among those who feel themselves to be among the ruling class.

__Since__civilizational change

__is__the most difficult to perceive and analyze

**,**it seldom

__is__given adequate attention.

__Since__the slogans have little application to reality and are sanctimonious to boot

**,**the applause

__is__faint even in areas of the world where we should expect to find the greatest affection

**for**free government.

__Since__more

__is__known about Quiney than about any other acquaintance of Shakespeare in Stratford

**,**his career may be followed to its sudden end in 1602.

__Since__the great flood of these dystopias has appeared only in the last twelve years

**,**it seems fairly reasonable to assume

**that**the chief impetus was the 1949 publication of Nineteen Eighty-Four

**,**an assumption which

__is__supported by the frequent echoes of such details as Room 101

**,**along with education by conditioning from Brave New World

**,**

**a**book to which science-fiction writers may well have returned with new interest after reading the more powerful Orwell dystopia.

__Since__Laos

__is__of no more purely military value to Moscow itself than it

__is__to Washington

**,**

**this**approach might be expected to head off Mr. Khrushchev

**for**the moment.

__Since__little

__is__known about autism

**,**and almost nothing has been written

**for**the layman

**,**we'd like to share one experienced mother's comments.

__Since__the obvious

__is__not always true

**,**the Republican National Committee wisely analyzed its defeat of last autumn and finds

**that**it occurred

**,**as suspected

**,**in the larger cities.

__Since__he has just shown who

__is__top dog

**,**he may not be ready to receive

**this**highest honor in the gift of the Soviet people.

__Since__appeals to morality

**,**to humanity

**,**and to sanity have had such small effect

**,**perhaps our last recourse

__is__the deterrent example.

__Since__the goal of our international planners

__is__

**a**World Government

**,**

**this**Atlantic Community would mark

**a**giant step in

**that**direction

**for**

**,**once American economic autonomy

__is__absorbed

**,**

**a**larger grouping

__is__

**a**question of time.

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