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Since and line
Since C is rational, this correspondence has K coincidences, each of which implies a line of the pencil which meets its image.
Since a ruled surface of order N with N concurrent generators is necessarily a cone, it follows finally that every line through a point, P, of **zg meets its image at P, as asserted.
Since the demise of Commodore, various groups have marketed successors to the original Amiga line, including Genesi, Eyetech, ACube Systems and A-EON Technology, and AmigaOS has influenced replacements, clones and compatible systems such as MorphOS, AmigaOS 4 and AROS.
Since the passage of the Act of Settlement, the most senior member of the Royal Family to have married a Roman Catholic, and thereby been removed from the line and later lines of succession, is Prince Michael of Kent, who married Baroness Marie-Christine von Reibnitz in 1978 ; he was fifteenth in the lines of succession at the time of his marriage.
Since its introduction at games by the " Roar from 34 ", led by Wild Bill Hagy and others, in the late 1970s, it has been a tradition at Orioles games for fans to yell out the " Oh " in the line " Oh, say does that Star-Spangled Banner yet wave " in " The Star-Spangled Banner ".
Since there is no heir to inherit Elimelech's land, levirate custom required a close relative ( usually the dead man's brother ) to marry the widow of the deceased in order to continue his family line ( Deuteronomy 25: 5 – 10 ).
Since polyphonic texture was no longer the main focus of music ( excluding the development section ) but rather a single melodic line with accompaniment, there was greater emphasis on notating that line for dynamics and phrasing.
Since longer symmetric keys require exponentially more work to brute force search, a sufficiently long symmetric key makes this line of attack impractical.
Since tangents and inverse tangents are both continuous, our identification function is a homeomorphism between the real line and the unit circle without ∞.
Since 1881, pitchers had pitched within a " box " whose front line was from home base, and since 1887 they had been compelled to toe the back line of the box when delivering the ball.
Since then, the Presario was rebranded under HP's laptop computer line as the HP 2000 series.
Since Mountbatten had no sons, when he was created Viscount Mountbatten of Burma of Romsey in the County of Southampton on 27 August 1946 and then Earl Mountbatten of Burma and Baron Romsey in the County of Southampton on 28 October 1947, the Letters Patent were drafted such that in the event he left no sons or issue in the male line, the titles could pass to his daughters, in order of seniority of birth, and to their heirs male respectively.
Since real numbers can be represented as distances or intervals on a line, the slide rule was invented in the 1620s to allow multiplication and division operations to be carried out significantly faster than was previously possible.
Since Edith was also the niece of Edgar the Ætheling and the great-granddaughter of Edmund Ironside ( the half-brother of Edward the Confessor ) the marriage united the Norman line with the old English line of kings.
Since the introduction of firearms classifications have changed initially to reflect their formations on the battlefield as line infantry, and later to reflect modes of transport and type of tactics used by specific units as Mechanized infantry or airborne infantry.
Since Raymond was his nearest relative in the male line with a strong claim to the throne, there was concern about the extent of his ambitions, although he had no direct heirs of his own.
Since the introduction of the original Lomo LC-A, Lomography has produced and marketed an entire line of their own analog cameras.
Since higher wages increase the quantity supplied, the supply of labor curve is upward sloping, and is shown as a line moving up and to the right.
Since MUMPS allows commands to be strung together on the same line, and since commands can be abbreviated to a single letter, this routine could be made more compact:
Since the 1970s, the tea industry in Taiwan has expanded at a rapid rate, in line with the rest of Taiwan's economy.
Since G is the midpoint of line FQ, this means that
Since the city authorities would not allow the new line to breach the customs wall, still standing at the time, it had to stop just short, at Potsdamer Platz, but it was this that kick-started the real transformation of the area, into the bustling focal point that Potsdamer Platz would eventually become.

Since and with
( Since the time-span of the nation-state coincides roughly with the separate existence of the United States as an independent entity, it is perhaps natural for Americans to think of the nation as representative of the highest form of order, something permanent and unchanging.
Since 1944 he has also conducted regularly at the San Francisco Opera, where he made his debut with a memorable performance of Verdi's Falstaff.
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 the Connally amendment has the effect of giving the same right to the other party to a dispute with the United States, it also prevents us from using the court effectively.
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 these duties fit neatly with those of the proposed presidential aide, one person, with adequate staff assistance, could fill both jobs.
Since brevity is the soul of ambiguity as well as wit, newspaper headlines continually provide us with amusing samples.
Since the absorption of radio waves in rocklike material varies with wave length, it should be possible to sample the temperature variation at different depths beneath the surface and possibly detect changes in the structure or composition of the lunar surface material.
Since D' and N' commute with one another and Af, we see that D' and N' commute with T.
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 the details of the elections were settled the change of government had no direct effect on the technical aspects of the elections, and may have been more important as an indication of royal displeasure with the U.N.F.P.
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 on the one hand school desegregation has come in Virginia hand-in-glove with pupil assignment, shall we support the plan??
Since this book is concerned only incidentally with railroad rates, it will not attempt to analyze the methods by which the staff of the Interstate Commerce Commission has estimated out-of-pocket costs and apportioned residue costs.
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 they commonly translate thoughts and feelings into deeds, hands naturally represent action, and since nearly half the characters in Great Expectations are of the underworld or closely allied to it, the linking of hands with crime or violence is not to be wondered at.
Since by the principle of optimality the remaining stages use an optimal Af-stage policy with respect to Af, we may enter section Af of the table at this state Af and read off the optimal policy for stage Af and the resulting state Af.
Since the earth is rotating and the unleveled gyro-stabilized platform is fixed with respect to a reference in space, an observer on the earth will see the platform rotating ( with respect to the earth ).
Since Mr. Clark believes firmly that the chewing of hard foods helps develop healthy gums and teeth, raw vegetables and raw whole-wheat grains are handed out with fresh fruit and whole-wheat cookies at snack time in the afternoons.

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