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Since and are
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.

Since and requiring
Since the proving of the theorem, efficient algorithms have been found for 4-coloring maps requiring only O ( n < sup > 2 </ sup >) time, where n is the number of vertices.
Since there is no conclusive or certifiable evidence on Earth or elsewhere in the known universe of other intelligent life after 13. 7 billion years of the universe's history, we have the conflict requiring a resolution.
Since Wesberry v. Sanders ( 1964 ) and Reynolds v. Sims ( 1964 ), the Supreme Court has interpreted the Equal Protection Clause as requiring the states to apportion their congressional districts and state legislative seats according to " one man, one vote ".
The initial hypothesis proposed the record may be RNA-based Since then, alternative models have been proposed which would explain the phenotype without requiring a new model of inheritance.
Since the mid-1960s, a plethora of new musical instruments with keyboards have come into common usage, requiring a more general term for a person who plays them.
Since some amateur telescope makers do not have access to high-precision machining equipment, many elegant designs such as the Poncet Platform, Crayford focuser, and the Dobsonian telescope have evolved, which achieve functionality and stability without requiring precision machining.
Since Chinese Americans were already nearly half the student population, the consent decree had the effect of requiring competitive Lowell high school to apply much higher academic admission standards for Chinese American students than other students.
Since this is a limiting factor a robot may not be able to reach its specified maximum speed for movements over a short distance or a complex path requiring frequent changes of direction.
Since knitted fabrics are generally somewhat elastic and have a softer hand ( feel or drape ) than woven fabric, sweaters that are more tightly fitted or have a soft drape may conform well to the body without requiring tailoring necessary in a woven garment such as darts, flares and gores.
Since the reconciliation bill has covered as many as ten years, the fifth provision can have the effect of requiring that any tax cut or spending increase be approved by a three-fifths majority, or else the law must return to its previous state after ten years.
Since " God " () is the predicate in the predicate nominative construction, it is unlikely that the noun " God " is indefinite ( requiring " a god " rather than " God ").
Since many early hand axes appear to be made from simple rounded pebbles ( from river or beach deposits ), it is necessary to detach a ' starting flake ', often much larger than the rest of the flakes ( due to the oblique angle of a rounded pebble requiring greater force to detach it ), thus creating an asymmetry in the hand axe.
Since different songs were useful for different tasks they are traditionally divided into three main categories, short haul shanties, for tasks requiring quick pulls over a relatively short time ; halyard shanties, for heavier work requiring more set-up time between pulls ; and Capstan shanties, for long, repetitive tasks requiring a sustained rhythm, but not involving working the lines.
Since that time, two main educational models have developed — the Ph. D. scientist – practitioner model ( requiring a doctoral dissertation and therefore research as well as clinical expertise ); and the Psy. D.
Since the process may involve complex tasks such as understanding context and determining the part of speech of a word in a sentence ( requiring, for example, knowledge of the grammar of a language ) it can be a hard task to implement a lemmatiser for a new language.
Since the material will expand 4-5 times under a vacuum, the mixing container must be large enough to hold a volume of four to five times the amount of the original material that is being vacuumed to allow for the expansion ; if not, it will spill over the top of the container requiring clean-up that can be avoided.
Since it is the tenderest part of the animal, beef dishes requiring exceptionally tender meat, such as steak tartare, are ideally made from the tenderloin.
Since it was stored on a cartridge, and thus provided instant access without requiring any hardware modification of the C64 or disk drive, the Fast Load quickly became a very popular peripheral among C64 users.
Since achieving symmetry is a difficult task during human growth, requiring literally billions of cell reproductions while maintaining a parallel structure, achieving symmetry is a visible signal of genetic health.
Since Identita's OTP Display cards are almost always asleep except during activation, the engineering team at Identita designed an algorithm which allowed for accurate OTP generation without requiring the clock on the card and the clock on the authentication server to be matched.
Since Köchel's work, many more pieces have been found, re-attributed, and re-dated, requiring three catalogue revisions.
Since the law requiring the recital of the Lord's Prayer violated these tests, it was struck down.

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