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 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.

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 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 the early days of embedded computing, embedded software developers have either used:

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 the above proof is constructive, one may extract an algorithm for computing interpolants.

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 he possessed more power in an interdependent universe of living beings and dead spirits, the emperor had to use it for the benefit of the living.

Since the 1980s issues of power, such as those examined in Eric Wolf's Europe and the People Without History, have been central to the discipline.

Since military issues were not a government priority, Afonso established the state's administration and centralized power on himself.

Since independence the party system has been dominated by the Botswana Democratic Party ( BDP ), which has never lost power since independence.

Since the publication of Nineteen Eighty-Four, the term " Big Brother " has entered the lexicon as a synonym for abuse of government power, particularly in respect to civil liberties, often specifically related to mass surveillance.

Since the House of Lords no longer had the power to block the bill, the Unionist's Ulster Volunteers led by Sir Edward Carson, launched a campaign of opposition that included the threat of armed resistance in Ulster and the threat of mutiny by army officers in Ireland in 1914 ( see Curragh Incident ).

Since their coming to power in 1997, controversies affecting the Labour Government such as David Blunkett's affair with Spectator editor Kimberly Fortier and financial scandals involving senior ministers and officials shifted the focus to sleaze within the Labour Party.

Since businesses make money and money leads to political power, business will inevitably use their power to influence governments.

Since the 12th century, courts have had parallel and co-equal authority to make law -- " legislating from the bench " is a traditional and essential function of courts, which was carried over into the U. S. system as an essential component of the " judicial power " specified by Article III of the U. S. constitution.

Since the Dictator exercised his own authority, he did not suffer this limitation, which was the cornerstone of the office's power.

Since the surfaces of a wet clutch can be slippery ( as with a motorcycle clutch bathed in engine oil ), stacking multiple clutch discs can compensate for the lower coefficient of friction and so eliminate slippage under power when fully engaged.

Since the KMT had completed the first step of revolution through seizure of power in 1928, Chiang's rule thus began a period of what his party considered to be " political tutelage " in Sun Yat-sen's name.

Since 1978, the Communist Party has attempted to institutionalize transitions of power and consolidate its internal structure.

Since the physical behavior of singularities is unknown, if singularities can be observed from the rest of spacetime, causality may break down, and physics may lose its predictive power.

Since it would be impossible for the Bahá ' í Faith to unite the world if it were itself disunited, the role of the covenant as the guarantor of the unity of the Bahá ' í community becomes inextricably linked with the goal of world unity: " It is evident that the axis of oneness of the world of humanity is the power of the Covenant and nothing else.

Since being able to choose any resource type allows more building power, gold rivers are either marked with number token of only 2 or 3 dots and / or are far away from starting positions to offset this.

Since there was no longer the countervailing power of the papacy and since the Church of England was a creature of the state and had become subservient to it, this meant that there was nothing to regulate the powers of the king, and he became an absolute power.

Since that time monasticism has been a power among the people and not without its influence on the course of events.

Since such radiation can produce severe damage to life at powers that produce very little heating, it is considered far more dangerous ( in terms of damage-produced per unit of energy, or power ) than the rest of the electromagnetic spectrum.

Since Sancho died unmarried and childless, all of his power passed to his brother Alfonso.

Since 2000, the Military has had a sometimes tense relationship with the Qarase government, and has strongly opposed its plans to establish a Commission with the power to compensate victims and pardon perpetrators of the coup.

Since 1982, two thirds of the community's power has been supplied by wind turbines, and a third by diesel generators.

Since the formation of the first Fianna Fáil government on 9 March 1932, the party has been in power for 61 of the last 79 years.