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 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 this machine, all computers designed with a microprocessor, personal computers, workstations even servers, will be called microcomputers.

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 Rhode Island at that time did not have such sanction, his opinion was not popular.

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.

Those famous lines of the Greek Anthology with which a fading beauty dedicates her mirror at the shrine of a goddess reveal a wise attitude: `` Venus, take my votive glass, Since I am not what I was, What from this day I shall be, Venus, let me never see ''.

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 she could not act, one part suited her as well as any other, and so she was the first person to offer Mr. Lincoln a glass of water, holding it up to the box, high above her head, to Miss Harris, who had asked for it.

Since ordinary breakfast-table conversation was impossible, it was at least something that they were able to offer Eugene the sugar bowl with their sugar in it, and the plate of bread and butter, and that Eugene could return the pitcher of hot milk to them handle first.

Since his Christ was to be life size, how was Mary to hold him on her lap without the relationship seeming ungainly??

Since the writer had established this democratic procedure in the beginning he had to go along with their decision -- after, of course, pointing out whether he thought their decision was a wise or an unwise one.

Since this type of item was not in the statute when section 381 was enacted in 1954, one cannot say with certainty what effect the enactment of that section should have.

Since writing was practiced in the Aegean before the end of the century, we may hope that the details of tradition will now be occasionally useful.

Since the strength of the Mexicans had been underrated, too small a posse had been collected, and since the deputy had not been provided with search warrants, MacPherson and his men decided it was much wiser to withdraw.

Since experience indicates that effluents from oxidation ponds do not create major problems at these BOD concentrations, the goal for the effluent quality of the accelerated treatment system was the same as from conventional oxidation ponds.

Since the psychiatric interview, like any other interview, depends on communication, it is significant to note that the therapist in this interview was a man of marked skill and long experience.

Since Fogg's was a one-man, one-plane flying service, this meant that he would have to do both trips, flying alone 600 miles a day, under sub-freezing temperature conditions.

Since the 1946 disaster there have been 15 tsunami in the Pacific, but only one was of any consequence.

Since a fall or blow might have caused it, a cold pack was usually first aid.

Since then he had worked at this and that, though some said his main interest was gambling.

Since 1949, the only National League club that got off to a hot start and made a runaway of the race was the '55 Dodger team.

Since Russian was being spoken instead of Spanish, there is no violation of artistry or logic here.

Since the organization was created thirteen years ago, it is obvious that this is not the original company ; ;

Since they did not glance curiously at us once, I guessed that there was a penalty for distraction.

Since 30 June 2012 when the last leap second was added, TAI has been exactly 35 seconds ahead of UTC.