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Since the dawn of computing, the sorting problem has attracted a great deal of research, perhaps due to the complexity of solving it efficiently despite its simple, familiar statement.

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## Some Related Sentences

Since and dawn

__Since__

**the**

__dawn__

**of**Newtonian science with

**its**vision

**of**

**simple**mechanical principles governing

**the**entire universe

**,**some philosophers have been tempted by

**the**idea that consciousness could be explained in purely physical terms

**.**

__Since__Grimm's time

**,**linguists have identified

**the**goddess as

**a**Germanic form

**of**

**the**reconstructed Proto-Indo-European goddess

**of**

**the**

__dawn__

**,*** Hausos

**.**

__Since__

**the**

__dawn__

**of**

**the**Space Age

**,**close observation by probes

**has**found that Earth and

**the**other planets share characteristics such as volcanism

**,**hurricanes

**,**tectonics

**,**and even hydrology

**.**

__Since__some

**of**

**the**most important readings and liturgical actions take place at Matins

**,**

**it**is celebrated in

**the**evening ( rather than early in

**the**morning before

__dawn__

**,**as is usual for Matins ) so that more people can attend

**.**

__Since__walleyes have excellent visual acuity under low illumination levels

**,**they tend

**to**feed more extensively at

__dawn__and dusk

**,**on cloudy or overcast days and under choppy conditions when light penetration into

**the**water column is disrupted

**.**

__Since__

**the**World Conservation Strategy and

**the**

__dawn__

**of**

**the**sustainable development era

**,**however

**,**these goals have come

**to**sit uneasily with attempts by institutions such as The World Bank

**to**" mainstream

**the**environment ".

__Since__

**the**

__dawn__

**of**precision guided munitions

**,**military " targeteers " and operations personnel are often considered

**to**have gone

**to**

**great**lengths

**to**minimize collateral damage

**.**

__Since__

**the**

__dawn__

**of**internal combustion engine technologies in

**the**17th century

**,**petroleum and other fossil fuels have remained in continual demand

**.**

__Since__

**the**siesta is

**the**traditional daytime sleep

**of**Spain

**,**and through Spanish influence

**,**

**of**many Hispanic American countries and in

**the**Philippines

**,**

**the**word siesta

**has**been taken from Spanish

**,**from

**the**Latin hora sexta – "

**the**sixth hour " ( counting from

__dawn__

**,**therefore noon

**,**hence " midday rest ").

__Since__

**the**

__dawn__

**of**Hollywood

**,**film directors have commonly come out

**to**shoot films around

**the**mountains and around

**the**surrounding area and mountain ranges

**,**for

**a**break from

**the**bustling Southern California scene

**.**

__Since__

**the**

__dawn__

**of**creation

**,**Zauriel served The Presence ( God ) as

**a**guardian angel

**,**protecting

**the**souls

**of**countless women

**,**including Cleopatra

**,**Mona Lisa

**,**and Joan

**of**Arc

**.**

__Since__I don ’ t believe in an afterlife however I can say with absolute certainty I shall never see that particular

__dawn__.”

__Since__

**the**

__dawn__

**of**time

**,**

**the**Turok have maintained

**the**balance between good and evil

**,**order and chaos

**.**

Since and computing

__Since__

**the**focus

**of**his book was calculation

**,**Bede gave instructions for

__computing__

**the**date

**of**Easter and

**the**related time

**of**

**the**Easter Full Moon

**,**for calculating

**the**motion

**of**

**the**Sun and Moon through

**the**zodiac

**,**and for many other calculations related

**to**

**the**calendar

**.**

__Since__NC contains NL

**,**

**it**is also unknown whether

**a**space-efficient algorithm for

__computing__

**the**GCD exists

**,**even for nondeterministic Turing machines

**.**

__Since__

**its**inception

**it**

**has**broadened

**to**find applications in many other areas

**,**including statistical inference

**,**natural language processing

**,**cryptography

**,**neurobiology

**,**

**the**evolution and function

**of**molecular codes

**,**model selection in ecology

**,**thermal physics

**,**quantum

__computing__

**,**plagiarism detection and other forms

**of**data analysis

**.**

__Since__1997

**,**all newly-found Mersenne primes have been discovered by

**the**“ Great Internet Mersenne Prime Search ” ( GIMPS ),

**a**distributed

__computing__project on

**the**Internet

**.**

__Since__

**the**probability amplitudes

**of**

**the**states are represented with complex numbers

**,**

**the**phase between any two states is

**a**meaningful parameter

**,**which is

**a**key difference between quantum

__computing__and probabilistic classical

__computing__

**.**

__Since__chemistry and nanotechnology rely on understanding quantum systems

**,**and such systems are impossible

**to**simulate in an efficient manner classically

**,**many believe quantum simulation will be one

**of**

**the**most important applications

**of**quantum

__computing__

**.**

__Since__we've assumed that we can infallibly identify programs for

__computing__squares

**,**we can determine whether t

**,**which depends on

**a**and i

**,**is such

**a**program

**,**and that for every

**a**and i ; thus we have obtained

**a**program that decides whether program

**a**halts on input i

**.**Note that our halting-decision algorithm never executes t

**,**but only passes

**its**description

**to**

**the**squaring-identification program

**,**which by assumption always terminates ; since

**the**construction

**of**

**the**description

**of**t can also be done in

**a**way that always terminates

**,**

**the**halting-decision cannot fail

**to**halt either

**.**

__Since__

**its**crystallization in

**the**1930s

**,**computation

**has**been primarily approached from two traditions: engineering

**,**which seeks

**to**build practical systems using computations ; and mathematics

**,**which seeks

**to**prove theorems about computation ( albeit already in

**the**1970s

__computing__as

**a**discipline was described as being at

**the**intersection

**of**mathematical

**,**engineering

**,**and empirical / scientific traditions ).

__Since__

**its**rebirth in

**the**1950s

**,**advancements in

__computing__technology have allowed scientists from many disciplines

**to**pair traditional Bayesian statistics with random walk techniques

**.**

__Since__

**the**

__computing__power is more powerful than with webpage or gadget based digital pets

**,**these are usually able

**to**achieve

**a**higher level

**of**visual effects and interactivity

**.**

__Since__Kane's proposal

**,**under

**the**guidance

**of**Robert Clark and now Michelle Simmons

**,**pursuing realisation

**of**

**the**Kane quantum computer

**has**become

**the**primary quantum

__computing__effort in Australia

**.**

__Since__1998

**,**there are large offices

**of**

**the**mobile network operator and Internet service provider Orange

**,**along with

**the**information

__computing__center

**of**Électricité de France for

**the**Northern and Western France region

**.**

__Since__

**the**discrete logarithm

**problem**reduces

**to**Gauss sum estimation

**,**an efficient classical algorithm for estimating Gauss sums would imply an efficient classical algorithm for

__computing__discrete logarithms

**,**which is considered unlikely

**.**

__Since__MIT Lincoln Laboratory ’ s establishment

**,**

**the**scope

**of**

**the**problems

**has**broadened from

**the**initial emphasis on air defense

**to**include programs in space surveillance

**,**missile defense

**,**surface surveillance and object identification

**,**communications

**,**homeland protection

**,**high-performance

__computing__

**,**air traffic control

**,**and intelligence

**,**surveillance

**,**and reconnaissance ( ISR ).

__Since__

**it**was first developed at

**a**time when

__computing__power was low

**,**and space precious

**,**MARC uses

**a**

**simple**three-digit numeric code ( from 001-999 )

**to**identify each field in

**the**record

**.**

__Since__2003

**,**

**the**British Institute ( Amman ) and

**the**Kenyon Institute in Jerusalem are providing researchers with access

**to**

**research**labs

**,**accommodation

**,**libraries and

__computing__equipment

**.**

__Since__March 2009

**,**part

**of**

**the**Einstein @ Home

__computing__power is used

**to**also analyze data taken by

**the**PALFA Consortium at

**the**Arecibo Observatory in Puerto Rico

**.**

__Since__

**it**uses OpenGL and OpenML

**,**

**it**could be ported

**to**many different platforms that have

**the**necessary

__computing__power

**.**

__Since__then

**,**more efficient ways

**of**implementing

**the**codebooks and improvements in

__computing__capabilities have made

**it**possible

**to**run

**the**algorithm in embedded devices

**,**such as mobile phones

**.**

__Since__

**the**machine had

**a**vector processor for heavy

__computing__

**,**

**the**SIMD processors themselves could be considerably simpler

**,**handling only

**the**most basic instructions

**.**

__Since__their introduction

**,**there have been many popular and rare floppy disk types

**,**densities

**,**and formats used in

__computing__

**,**leading

**to**much confusion over their differences

**.**

Since and sorting

*

__Since__1992 ( current version**of****the**modern alphabet defined using**the**Latin script**,**replacing Ää by**the**historic Əə for better__sorting__):2.229 seconds.