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Since and paper
Since the difference between the U. S. and International acre is only about a quarter of the size of an A4 sheet of paper ( 0. 016 square metres, 160 square centimetres or 24. 8 square inches ), it is usually not important which one is being discussed.
) Since the paper had been read in front of his daughters and colleagues, Cantor perceived himself as having been publicly humiliated.
Since thousands of different types of wood products manufacturing plants exist around the globe, and may be integrated ( lumber, plywood, paper, etc.
Since PHP 5. 3, it implements the algorithm from Bacon's above mentioned paper.
Since late 2004, he has suffered from a reemergence of his focal dystonia which has affected his ability to draw for lengthy periods on paper, though it causes no real problem now that he draws the comic on a graphics tablet.
Since the 1883 article had no illustration of this early " Gem ", it may have been different from modern paper clips of that name.
Since the Diceratops paper had been written by Hatcher, and Lull had only contributed the name and published the paper after Hatcher's death, Lull was not quite as convinced of the distinctiveness of Diceratops, thinking it primarily pathological.
Since Intel's patents were from 1978, that paper would prove prior art and imply that the patents never should have been granted at all.
Since then, Albertville has developed trade between France, Italy, and Switzerland ; and industries such as paper mills and hydroelectricity can be found on its river.
Since 2005 the paper has been printed in tabloid format, and approximately 28, 000 copies have been published.
Since the afternoon paper was put together the previous evening, the night city editor was the key news editor.
" Since the state's newspapers were financed by the opposition, in March 1930 Long founded his own paper, the Louisiana Progress, which he used to broadcast achievements and denounce his enemies.
Since nothing could be decided, Belknap, Montgomery, and McCool each wrote a name on a slip of paper.
Since 1971, the company has been part of Appleton Papers Inc., producing carbonless paper.
Since the invention of the Fourdrinier machine in the 19th century, most paper has been made from wood pulp because of cost.
Since 1991, preprints have increasingly been distributed electronically on the Internet, rather than as paper copies.
Since outer space radiates at about a temperature of 3 kelvins (- 270 degrees Celsius or-450 degrees Fahrenheit ), and the sheet of paper radiates at about 300 kelvins ( room temperature ), the sheet of paper radiates more heat to one's face than does the darkened cosmos.
Since Dirac's paper, several systematic monopole searches have been performed.
Since no chemicals or water are absorbed into the paper base, the time needed for processing, washing and drying durations are significantly reduced in comparison to fiber-based papers.
Since Gödel's paper was published in 1931, the term " Gödel numbering " or " Gödel code " has been used to refer to more general assignments of natural numbers to mathematical objects.
Since 1968, all currency has been printed by means of the dry intaglio process, whereby wetting of the paper prior to printing is unnecessary.
Since the launch of the National Post as another English-language national paper in 1998, some industry analysts have proclaimed a " national newspaper war " between The Globe and Mail and the National Post.

Since and describing
Since the early twentieth century, quantum theory has proved to be successful in describing accurately the physical reality of the mesoscopic and microscopic world, in multiple reproducible physics experiments.
IRI is more accurate in describing the variation of the electron density from bottom of the ionosphere to the altitude of maximum density than in describing the total electron content ( TEC ). Since 1999 this model is " International Standard " for the terrestrial ionosphere ( standard TS16457 ).
Since then he has lived a fragmented life, describing himself as a " bit of an oddball.
Since the equipartition theorem worked so well in describing the vibrational modes of the thermal object itself, it was trivial to assume that it would perform equally well in describing the radiative emission of such objects.
Since the earliest record of medical history, the coexistence of intense, divergent moods within an individual has been recognized by such writers as Homer, Hippocrates and Aretaeus, the last describing the vacillating presence of impulsive anger, melancholia and mania within a single person.
Since his victory Crean has singled out Senator Stephen Conroy for his part in the preselection challenge, describing his front-bench colleague as " venal " and " one of the most disloyal people I've ever worked with in my life ".
Since the 1960s, most of the research in Sociology and History has disregarded the melting pot theory for describing inter-ethnic relations in the United States and other counties.
Since the Eastings and Northings are one kilometre apart, a combination of a Northing and an Easting will give a four-digit grid reference describing a one-kilometre square on the ground.
Since the reference appears in a passage describing the Drugovichians as one of the Slavic peoples who pay tribute to the Kievan Rus, and they are named alongside the Severians and Krivichians, it seems likely these are the same people.
Since 1991, he has been the lead rugby commentator on ITV Sport, describing the World Cup final victory of England over Australia on 22 November 2003.
Since the Laws in Wales Acts 1535 – 1542, which formally incorporated all of Wales within the Kingdom of England, there has been no geographical or constitutional basis for describing any of the territory of Wales as a principality, although the term has occasionally been used in an informal sense to describe the country, and in relation to the honorary title of Prince of Wales.
Since the 1800s, there have been references in medicine describing people who apparently " turned to stone "; some of these cases may be attributable to FOP.
Since spoiler is a term describing an application, the operation of a spoiler varies depending on the particular effect it's trying to spoil.
Since the 1995 book Fluid Concepts and Creative Analogies describing the work of the Fluid Analogies Research Group ( FARG ) book, work on Copycat-like models has continued: as of 2008 the latest models are Phaeaco ( a Bongard problem solver ), SeqSee ( number sequence extrapolation ), George ( geometric exploration ), and Musicat ( a melodic expectation model ).
Since normality shifts in time and environment, the mean and standard deviation are only useful for describing normality from the environment from which they are collected.
Since a group of French researchers discovered the same compound at about the same time, the two teams named the compound daunorubicin, combining the name Dauni, a pre-Roman tribe that occupied the area of Italy where the compound was isolated, with the French word for ruby, rubis, describing the color.
According to The Guardian, " Since Clinton's remarks, Liberian newspapers have published numerous articles and editorials describing homosexuality as " desecrating ", " abusive " and an " abomination ".

Since and algorithm
Since algorithms are platform-independent ( i. e. a given algorithm can be implemented in an arbitrary programming language on an arbitrary computer running an arbitrary operating system ), there are significant drawbacks to using an empirical approach to gauge the comparative performance of a given set of algorithms.
Since the reference model given for traffic policing in the network is the GCRA, this algorithm is normally used for shaping as well, and single and dual leaky bucket implementations may be used as appropriate.
Since the desired effect is computational difficulty, in theory one would choose an algorithm and desired difficulty level, thus decide the key length accordingly.
The proof of this fact relies on an algorithm which, given the first n digits of Ω, solves Turing's halting problem for programs of length up to n. Since the halting problem is undecidable, Ω can not be computed.
Since the invention of the MIDI system in the early 1980s, for example, some people have worked on programs which map MIDI notes to an algorithm and then can either output sounds or music through the computer's sound card or write an audio file for other programs to play.
Since the algorithm ensures that the remainders decrease steadily with every step, r < sub > k − 1 </ sub > is less than its predecessor r < sub > k − 2 </ sub >.
Since the remainders decrease with every step but can never be negative, a remainder r < sub > N </ sub > must eventually equal zero, at which point the algorithm stops.
Since the last remainder is zero, the algorithm ends with 21 as the greatest common divisor of 1071 and 462.
Since the inverse DFT is the same as the DFT, but with the opposite sign in the exponent and a 1 / N factor, any FFT algorithm can easily be adapted for it.
Since 1968, however, the lowest published count for power-of-two was long achieved by the split-radix FFT algorithm, which requires real multiplications and additions for.
Since NC contains NL, it is also unknown whether a space-efficient algorithm for computing the GCD exists, even for nondeterministic Turing machines.
Since the late 1990s, bzip2, a file compression utility based on a block-sorting algorithm, has gained some popularity as a gzip replacement.
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 IBM's implementation, several other groups have implemented Shor's algorithm using photonic qubits, emphasizing that entanglement was observed.
Since the parsing algorithm makes intelligent use of layout ( indentation ), there is rarely a need for bracketing statements and no statement terminators are required.
Since any algorithm for multiplying two n × n-matrices has to process all 2 × n < sup > 2 </ sup >- entries, there is an asymptotic lower bound of operations.
Since the eigenvalues of this matrix coincide with the roots of the polynomial, one can use any eigenvalue algorithm to find the roots of the polynomial.
Since the minimax algorithm and its variants are inherently depth-first, a strategy such as iterative deepening is usually used in conjunction with alpha-beta so that a reasonably good move can be returned even if the algorithm is interrupted before it has finished execution.
Since the finalisation of MPEG-1 Audio and MPEG-2 Audio ( in 1992 and 1994 ), the original MUSICAM algorithm is not used anymore.
Since drawing proceeds from back to front with closer objects simply overwriting farther ones, the process is known as employing the Painter's algorithm.
Since the only known way to solve that problem is to factor the modulus, it is generally regarded that the difficulty of integer factorization provides a conditional security proof for the Blum Blum Shub algorithm.
Since a D & C algorithm eventually reduces each problem or sub-problem instance to a large number of base instances, these often dominate the overall cost of the algorithm, especially when the splitting / joining overhead is low.

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