Since all problems in NP can be reduced to this problem it follows that for all problems in NP we can construct a non-deterministic Turing machine that decides the complement of the problem in polynomial time, i. e., NP is a subset of co-NP.

Since a typical piece of knitted fabric may have hundreds of wales, warp knitting is typically done by machine, whereas weft knitting is done by both hand and machine.

Since it is difficult to control machine pistols when they are fired in full automatic mode, in the 1970s, some manufacturers developed an " intermittent-fire " setting that fires a burst of three shots instead of a full-automatic stream.

; Compact size: Since p-code is based on an ideal virtual machine, a p-code program is often much smaller than the same program translated to machine code.

Since 2009, Sentinel has offered a machine described as a word processor, but in actuality it is more accurately a highly specialised microcomputer, used for accounting and publishing.

Since the machine was designed to operate on large data sets, the design also dedicated considerable circuitry to I / O.

Since the 1990s and onwards, this has led to severe contention between producers and aficionados of premium handmade cigars and cigarette manufacturing companies that create machine made, chemically formulated / altered products resembling cigars, and subsequently labeled as cigars.

Since WW I, there have been a variety of attempts to install armored gun shields on tripod-mounted machine guns or vehicle-mounted weapons to protect machine gunners.

:" Since the invention of this machine, Mr. Meikle and others have progressively introduced a variety of improvements, all tending to simplify the labour, and to augment the quantity of the work performed.

Since a Befunge-93 program can only have a single stack and its storage array is bounded, the Befunge-93 language is, unlike most machine languages, not Turing-complete ( however, it has been shown that Befunge-93 is Turing Complete with unbounded stack word size ).

Since it was written in the C language, when that language was ported to a new machine architecture, Unix was also able to be ported.

Since the machine had been sold with a ' guarantee to fly ' Sir George succeeded in getting 15, 000 francs compensation from Zodiac.

Since it was quite easy to stack interconnections ( wires ) inside the embedding matrix, the approach allowed designers to forget completely about the routing of wires ( usually a time-consuming operation of PCB design ): Anywhere the designer needs a connection, the machine will draw a wire in straight line from one location / pin to another.

Since the invention of the first working sewing machine, generally considered to have been the work of Englishman Thomas Saint in 1790, the sewing machine has vastly improved the efficiency and productivity of fabric, clothing and needle industries.

Since the early 1950s almost all American presidents have had an autopen or robot machine for the automatic signing of a signature as an autograph machine for their letters, photographs, books, and even official documents.

Since the invention of the Fourdrinier machine in the 19th century, most paper has been made from wood pulp because of cost.

Since the machine had only 4k of RAM, this left very little room left over for the program's use, which was used for things like holding the score, or game options.

Since the machine only had 10 bits of address space, two of the address bits were unused and were sometimes used for data storage by interleaving data through the instructions.

Since the onigiri made by this machine came with nori already applied to the rice ball, over time the nori became unpleasantly moist and sticky, clinging to the rice.

Since it was issued in the spring of 1611, the King James Version has been most generally considered the most poetic and beautiful of all translations of the Bible.

Since then, the flowers she had planted had spread all over the hill.

Since the validity of all subsequent planning depends on the accuracy of the basic inventory information, great care is being taken that the inventory is as complete as possible.

Since broadcast frequencies are very limited in number, these objectives are to some extent inconsistent in that not all of them can be fully realized, and to the extent that each is realized, there is a corresponding reduction of the possibilities for fullest achievement of the others.

Since he can neither accept nor reject them all, he must be governed by the time and energy available for his prime professional obligations.

Since they are all either rented or borrowed, the requested dates for their use have to be far in advance.

Since American life is committed above all to productivity and a higher standard of economic life, the countervailing forces of residential and religious exclusiveness have fought a desperate, rearguard action against the expanding interdependence of the metropolis.

Since rococo music tends to be pretty and elegant above all, it can seem rather vacuous to twentieth-century ears that have grown accustomed to the stress and dissonances of composers from Beethoven to Boulez.

Since " all beings " includes the individual, love and compassion in Buddhism are outside the opposition between self and other.

Since a player cannot control another player's bids, and since all bids are non-refundable, the auction involves a considerable amount of strategizing and prioritization by players.

Since all energies are measured relative to the vacuum, H is positive definite.

Since all anchors that embed themselves in the bottom require the strain to be along the seabed, anchors can be broken out of the bottom by shortening the rode until the vessel is directly above the anchor ( at this point the anchor chain is " up and down " in naval parlance ).

Since the 1970s, self-help books, psychology, and some modern expressions of Christianity have viewed this disparity in terms of grace being an innate quality within all people who must be inspired or strong enough to find it: something to achieve.

Since the implementation of the Statute of Westminster 1931 in each of the Commonwealth realms ( on successive dates from 1931 onwards ), the Act of Settlement cannot be altered in any realm except by that realm's own parliament and, by convention, only with the consent of all the other realms, as it touches on the succession to the shared throne.

Since John Wesley ordained and sent forth every Methodist preacher in his day, who preached and baptized and ordained, and since every Methodist preacher who has ever been ordained as a Methodist was ordained in this direct " succession " from Wesley, then the Methodist Church teaches that it has all the direct merits coming from apostolic succession, if any such there be.

Since the takeover in 2011, NEEP Roma Holding S. p. A. owned all shares Sensi previously hold.

Since the Plebeian Aediles were elected by the Plebeians ( commoners ), rather than by all of the People of Rome ( Plebeians as well as members of the Patrician aristocracy ), they were not technically magistrates.

Since the implementation of concordats between the ELCA and the Episcopal Church of the United States and the ELCIC and the Anglican Church of Canada, all bishops, including the Presiding Bishop ( ELCA ) or the National Bishop ( ELCIC ), have been consecrated using the historic succession, with at least one Anglican bishop serving as co-consecrator.

Since going into ecumenical communion with their respective Anglican body, bishops in the ELCA or the ELCIC not only approve the " rostering " of all ordained pastors, diaconal ministers, and associates in ministry, but they serve as the principal celebrant of all pastoral ordination and installation ceremonies, diaconal consecration ceremonies, as well as serving as the " chief pastor " of the local synod, upholding the teachings of Martin Luther as well as the documentations of the Ninety-Five Theses and the Augsburg Confession.

* Since Big Brother 2, the UK series always opens with a twist which have included the public being able to choose the final housemate out of three possibilities ( Big Brother 2 ), the public voting for a housemate to leave during the first week and then the housemates choosing between the two housemates with the least number of votes ( Big Brother 3 ), First Night Nominations ( Big Brother 4 ), Suitcase Nominations ( Big Brother 5 ), Unlucky Housemate 13 ( Big Brother 6 ), Big Brother Hood ( Big Brother 7 ), an all-female House and the first inclusion of twins as contestants ( Big Brother 8 ), the first couple to enter as housemates and set a secret task to hide their real relationship ( Big Brother 9 ), all " housemates " really being " non-housemates " who had to earn their housemate status ( Big Brother 10 ), a mole entering the House with an " Impossible Task " ( Big Brother 11 ), Jackie Stallone entering a house containing her son's ex-wife ( Celebrity Big Brother 3 ), the entrance of a non-celebrity in a celebrity edition ( Celebrity Big Brother 4 ) and Jade Goody's family announced to be visiting.

Since the gene is recessive, all offspring will be heterozygous, and the offspring from that mating will not be resistant to Bt and therefore no longer a threat.

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 donation of the Abbey Moutier-Grandvalto and all its possessions to Bishop Adalbero II in 999 till the Reformation, Basel was ruled by prince-bishops ( see Bishop of Basel, whose memory is preserved in the crosier shown on the Basel coat-of-arms – see above ).