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Since C is rational, this correspondence has K coincidences, each of which implies a line of the pencil which meets its image.

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Brown Corpus

## Some Related Sentences

Since and C

__Since__

**the**circulating thyroid hormones are

**the**amino acids thyroxine and tri-iodothyronine ( cf. Section

__C__)

**,**it

**is**clear that some mechanism must exist in

**the**thyroid gland for their release from proteins before secretion

**.**

__Since__

**the**mid-1990s

**,**AutoCAD supported custom objects through

**its**

__C__++ Application Programming Interface ( API ).

__Since__many scientific applications require incubation at temperatures close to human body temperature ( 37 °

__C__), agar

**is**more appropriate than other solidifying agents that melt at

**this**temperature

**,**such as gelatin

**.**

Let A be

**a**unital commutative Banach algebra over__C__**.**__Since__A**is**then**a**commutative ring with unit**,**every non-invertible element**of**A belongs to some maximal ideal**of**A**.**__Since__

**a**maximal ideal in A

**is**closed

**,**

**is**

**a**Banach algebra that

**is**

**a**field

**,**and it follows from

**the**Gelfand-Mazur theorem that there

**is**

**a**bijection between

**the**set

**of**all maximal ideals

**of**A and

**the**set Δ ( A )

**of**all nonzero homomorphisms from A to

__C__

**.**The set Δ ( A )

**is**called

**the**" structure space " or " character space "

**of**A

**,**and

**its**members " characters

**.**

__Since__

**the**mass numbers

**of**these are 12

**,**13 and 14 respectively

**,**

**the**three isotopes

**of**carbon are known as carbon-12

**,**carbon-13

**,**and carbon-14

**,**often abbreviated to < sup > 12 </ sup >

__C__

**,**< sup > 13 </ sup >

__C__

**,**and < sup > 14 </ sup >

__C__

**.**

__Since__only one note can be played at

**a**time on

**each**string

**,**

**the**fretting pattern

**is**generally chosen so that notes

**which**are rarely heard together ( such as

__C__and

__C__) share

**a**string pair

**.**

"

__Since__1801**,****the**home**of****the**Commandant**has**been located in**the**Marine Barracks in Washington**,**D**.**__C__**.**and his main offices are in Arlington**,**Virginia**.**
In his introduction

**,**Blevins writes**,**"__Since__**the**time**of**F**.**__C__**.**Baur**,**very few scholars have doubted**the**Pauline authorship**of****the**letter**.**
The event temporarily warmed air temperature by 1

**.**5 °__C__**,**compared to**the**usual increase**of**0**.**25 °__C__associated with El Niño events .< ref name =" Trenberth ">__Since__then**,**mass coral bleaching**has**become common worldwide**,**with all regions having suffered " severe bleaching ".__Since__annealing brass requires heating it to about 660 F ( 350

__C__),

**the**heating must be done in such

**a**way as to heat

**the**neck to that temperature

**,**while preventing

**the**base

**of**

**the**case from being heated and losing

**its**hardness

**.**

__Since__one cannot logically consider these subjects to be both " at

**the**same moment " and " away in time ", an exclusive choice

**has**to be made that defines these two separate domains

**,**B and

__C__

**.**Our reality or domain B

**is**created by

**the**complex

**,**but consistent transformation

**of**A by our biological and mental makeup

**.**

__Since__alcohol

**has**

**a**much lower freezing point (- 114 °

__C__;-173

**.**2 ° F ) than water and doesn't form crystals

**,**when

**the**ice

**is**filtered off

**,**

**the**alcohol concentration increases

**.**

__Since__Palmyra

**has**no local government at all

**,**it

**is**administered directly from Washington

**,**D

**.**

__C__., by

**the**Office

**of**Insular Affairs

**,**

**of**

**the**U

**.**S

**.**Department

**of**

**the**Interior

**.**

__Since__

**its**discovery

**,**it

**has**given names like radium A and radium

__C__< sub > 2 </ sub > to several isotopes

**of**other elements that are decay products

**of**radium-226

**.**

__Since__all that

**is**required for

**a**full recovery

**is**

**the**resumption

**of**normal vitamin

__C__intake

**,**it

**is**easy to treat if identified correctly

**.**

__Since__

__C__

**is**Hausdorff and separable it follows that

__C__

**has**cardinality equal to 2 < sup > ℵ < sub > 0 </ sub ></ sup > —

**the**same cardinality as

**the**cardinality

**of**

**the**reals

**.**

However

**,**__C__language programming**is**much easier to obtain skilled people in**,**so most if not all new development**is**done in__C__**.**__Since__z / TPF allows assembler programs to be repackaged into 1 logical file**,**critical legacy applications can be maintained and actually improve efficiency-the cost**of**entering one**of**these programs will now come at**the**initial enter when**the**entire program**is**fetched into core and logical flow through**the**program**is**accomplished via simple branch instructions**,**instead**of****a**dozen or so IBM instructions previously needed to perform what**is**known as ' core resident enter / back '.

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__

**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__

**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

**.**

Since and rational

__Since__they are produced automatically without any

__rational__analysis and verification ( see

**the**modern idea

**of**

**the**subconscious )

**of**whether they are correct or not

**,**they need to be confirmed ( epimarteresis: confirmation ),

**a**process

**which**must follow

**each**assumption

**.**

__Since__

**the**field

**of**constructible points

**is**closed under square roots

**,**it contains all points that can be obtained by

**a**finite sequence

**of**quadratic extensions

**of**

**the**field

**of**complex numbers with

__rational__coefficients

**.**

When objectively analyzing

**the**condition for learning Gagné says: “__Since__**the**purpose**of**instruction**is**learning**,****the**central focus for__rational__derivation**of**instructional techniques**is****the**human learner**.**__Since__considerations

**of**

**the**physical details

**of**actions are necessarily bound up with

**a**person's subjective preferences

**,**and could have been brought about without

**the**action

**of**

**a**

__rational__will

**,**Kant concluded that

**the**expected consequences

**of**an act are themselves morally neutral

**,**and therefore irrelevant to moral deliberation

**.**

Justice Rehnquist echoed

**this**point in his opinion in United States v**.**Lopez**,**stating:__Since__( Wickard ),**the**Court**has**... undertaken to decide whether**a**__rational__basis existed for concluding that**a**regulated activity sufficiently affected interstate commerce**.**__Since__S

**is**non-empty

**,**there

**is**

**a**

__rational__number L such that L < s for some s in S

**.**Now define sequences

**of**rationals ( u < sub > n </ sub >) and ( l < sub > n </ sub >) as follows:

__Since__√ 2

**is**

**a**real number

**,**

**which**can be either

__rational__or irrational

**,**

**the**only option left

**is**for √ 2 to be irrational

**.**

__Since__for even s

**the**Riemann zeta function

**has**an analytic expression in terms

**of**

**a**

__rational__multiple

**of**

**,**then for even exponents

**,**

**this**infinite product evaluates to

**a**

__rational__number

**.**

__Since__

**the**first coefficient

**a**< sub > 0 </ sub >

**of**

**the**continued fraction

**of**x plays no role in Khinchin's theorem and since

**the**

__rational__numbers have Lebesgue measure zero

**,**we are reduced to

**the**study

**of**irrational numbers in

**the**unit interval

**,**i

**.**e., those in

**.**

__Since__

**the**paradox assumes

**the**ass will always go to whichever

**is**closer

**,**it will die

**of**both hunger and thirst since it cannot make any

__rational__decision to choose one over

**the**other

**.**

“

__Since__parties aim at such goals as getting their programs developed or accepted and getting positions**of**influence within organizations**,**it**is**clear that they operate only within**a**__rational__order within**which**these goals are possible to attain and only when there**is****a**struggle for power ” ( Hurst 206 )__Since__

**the**ratio

**of**coefficients

**is**

**a**

__rational__function

**,**

**the**power series can be written as

**a**generalized hypergeometric series

**.**

__Since__

**the**payoffs for some amount

**of**cooperation in

**the**Centipede game are so much larger than immediate defection

**,**

**the**"

__rational__" solutions given by backward induction can seem paradoxical

**.**

__Since__

**the**

__rational__fraction L / M

**is**greater than unity when < math > M < L </ math >,

**the**single low-pass filter should have cutoff at cycles per intermediate sample

**,**

**the**Nyquist frequency

**of**

**the**input sample rate

**.**

__Since__1897 he had run

**the**Wissenschaftlich-humanitäres Komitee (" Scientific-Humanitarian Committee "),

**which**campaigned on conservative and

__rational__grounds for gay rights and tolerance

**.**

__Since__it was possible to incorporate

**the**

__rational__expectations hypothesis into macroeconomic models whilst avoiding

**the**stark conclusions that Sargent and Wallace reached

**,**

**the**policy-ineffectiveness proposition

**has**had less

**of**

**a**lasting impact on macroeconomic reality than first may have been expected

**.**

As Matthew Simon writes

**,**“__Since__it served as**a**fundamental concept**,**not only in physiology but also in pathology and therapy**,**complexion theory provided important support for**the**idea that medicine constituted**a**unified and__rational__body**of**knowledge .” By observation and judgment**,**medieval physicians determined**the**proper complexion**of****the**individual when healthy**.**__Since__World War II

**,**

**the**Foundation

**has**devoted

**its**efforts to strengthening

**the**social sciences as

**a**means

**of**achieving more informed and

__rational__social policy

**.**

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