Since a set is determined completely by its elements, there can only be one empty set.

Since the 1970s the microprocessor class of CPUs has almost completely overtaken all other CPU implementations.

Since the introduction of the first commercially available microprocessor ( the Intel 4004 ) in 1970, and the first widely used microprocessor ( the Intel 8080 ) in 1974, this class of CPUs has almost completely overtaken all other central processing unit implementation methods.

Since the return to The Valley, three sides of the ground have been completely redeveloped turning The Valley into a modern, all-seater stadium with a 27, 111 capacity.

Since that time, solid state devices have all but completely taken over.

Since the deformations on the surface are the only imprint of the incoming particle, and since these deformations would have to completely determine the outgoing particles ,'t Hooft believed that the correct description of the black hole would be by some form of string theory.

Since the late twentieth century, the Maya code has been almost completely deciphered, and the Mayan languages are among the most documented and studied in Mesoamerica.

Since the 1990s, new discoveries and more thorough study of old specimens have shown that crests are far more widespread among pterosaurs than previously thought, due mainly to the fact that they were frequently extended by or composed completely of keratin, which does not fossilize as often as bone.

Since the 1990s, there has been a debate within the PLO as to whether to halt terrorist activities completely or to continue attacking Israel as well as negotiate diplomatically with Israel.

Since φ is a positive linear map whose range, the complex numbers C, is a commutative C *- algebra, φ is completely positive.

Since one cannot completely ignore the bit error-rate of the medium, each switching node needs to implement error detection to avoid wasting bandwidth due to the transmission of erred frames.

Since it makes no reference to any quantities involved in work ( such as p and V ), the Helmholtz function is completely general: its decrease is the maximum amount of work which can be done by a system, and it can increase at most by the amount of work done on a system.

Since the area outside the safety zone had been almost completely evacuated, the mopping-up effort was concentrated in the safety zone.

Since chemotherapy on its own is not guaranteed to completely rid the patient of disease, patients are often kept on the drugs for extended periods of times ( i. e. more than 6 months, years ).

Since the area outside the safety zone had been almost completely evacuated, the mopping-up effort was concentrated in the safety zone.

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 Second World War there has been a dominant movement within the Dutch legal community to be fully consistent in this and incorporate the total of case law accumulated over the years into a completely new set of modern codes, while the old law books derived from the French Code Napoleon remained basically unchanged.

Since this time, AIDS deaths have continued to decline, but much more slowly, and not as completely in black Americans as in other population segments.

Since the Earth is in motion, two main possibilities were considered: ( 1 ) The aether is stationary and only partially dragged by Earth ( proposed by Augustin-Jean Fresnel in 1818 ), or ( 2 ) the aether is completely dragged by Earth and thus shares its motion at Earth's surface ( proposed by George Gabriel Stokes in 1844 ).

Since the fertile soil of the Nile was so black that the word for black ( Khem ) became the Egyptian word for Egypt, and bulls in this region had a tendency to black colouring, the bull selected to be the Mnevis was traditionally completely black, thus being referred to as Kemwer, meaning great black ( one ).

In retrospect, Schreiber said in a 2008 interview, he appreciates his mother's influences, saying, " Since I've had Sasha, I've completely identified with everything my mother went through raising me ... And I think her choices were inspired.

Since many cherts contain both microcrystaline and microfibrous quartz, it is sometimes difficult to classify a rock as completely chalcedony, thus its general inclusion as a variety of chert.

Since the division by provinces in Spain and the division by comarques in Catalonia do not completely agree, the term comarques of the province of Girona would not be entirely correct.

Since the division by provinces in Spain and the division by comarques in Catalonia do not completely agree, the term comarques of the province of Barcelona would not be entirely correct.

Since the area of interest is para-urethral glands, it is impossible to completely separate the secretions from urine, especially considering that there may be retrograde ejaculation into the urethra towards the bladder.

Since then a slick, contemporary form of pop-llanera has developed which has earned the scorn of some purists who perceive it as stale and watered-down.

Since the salt is somewhat slick, maintaining traction is a major concern of every racer.

Since there is no tread, slick tyre tread does not deform too much under load.

Since then, however, tyre development has progressed greatly, so that today's hot rod street cars typically use wide, grooved tyres which perform better than the slicks of the past ; while the cheater slicks available today, both for nostalgic appearance of street cars and for competition use in classes where DOT approved street tyres are required, have followed their own line of development, diverging from true slick tyre construction to become a distinct tyre design in themselves.

Since the World Sportscar Championship was conceived there have been various regulations regarding bodywork, engine style and size, tyres and aerodynamics to which these cars must be built.

Since front and rear tyres would naturally wear at different rates in normal driving, it was necessary to swap front with rear tyres every 1500 miles.

Since it is illegal to use tyres in Belgium ( for risk of leaking toxic metals like lead and zinc ), The project uses sandbags to build their earthship instead.

Since the hazards of poor communication are so great, p can be justified as a habitable site only on the basis of unusual productivity such as is made available by a waterfall for milling purposes, a mine, or a sugar maple camp.

Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.

Since we can neither undo nor redo the past, we are limited to the events of today and tomorrow.

Since the recognition of Israel as a nation state, claims are made in many cases which identify the claimant as a member of the new body politic.

Since accurate base maps are necessary for any planning program, the first step taken by the planning division to implement the long-range state plan has been to prepare two series of base maps -- one at a scale of 1 inch to a mile, and the second a series of 26 sheets at a scale of 1 inch to 2000 feet, covering the entire state.

Since conventional methods are insensitive at the low frequencies of these molecular transitions, the paramagnetic resonance method is being used instead.

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 the provision of skywave service requires adequate freedom from interference, only class 1, stations are capable of rendering skywave service.

Since the sides are also covered up to the spray rails, they are also rough-sanded in that area.

Since fly cutters are one sided and not balanced, they should be used at the slowest speed available, and fed very slowly to avoid binding.

Since there are almost no schools in the country offering graduate work in interior design this rule cannot at present be observed.

Since charges are relatively the same, reserving a car before you leave for Europe will assure you of having one on tap when you want it.

Since practical washing procedures are both lengthy and expensive, a number of laboratory tests have been developed for the numerical evaluation of detergents.

Since the circulating thyroid hormones are the amino acids thyroxine and tri-iodothyronine ( cf. Section C ), it is clear that some mechanism must exist in the thyroid gland for their release from proteins before secretion.

Since emotional reactions in the higher vertebrates depend on individual experience and are aroused in man, in addition, by complex symbols, one would expect that the hypothalamus could be excited from the cortex.

Since Af are distinct prime polynomials, the polynomials Af are relatively prime ( Theorem 8, Chapter 4 ).

Since D and D' are both diagonalizable and they commute, they are simultaneously diagonalizable, and Af is diagonalizable.

Since N and N' are both nilpotent and they commute, the operator Af is nilpotent ; ;

Since Af are linearly independent functions and the exponential function has no zeros, these R functions Af, form a basis for the space of solutions.

Since the choice is by lot each week, the outcomes of different trials are independent.

Since two curves of symbol Af on Q intersect in Af points, it follows that there are Af lines of Af which are tangent to Aj.