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Page "Cauchy–Schwarz inequality" ¶ 32
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Since and is
Since the Supreme Court's decision of that year this is more doubtful ; ;
( 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 it is not far from Viareggio, he will visit Puccini's house, as he never fails to do, to pay his respects to the memory of the composer of La Boheme, which he considers one of Puccini's masterpieces.
Since attack serves to stimulate interest in broadcasts, I added to my opening statement a sentence in which I claimed that German youth seemed to lack the enthusiasm which is a necessary ingredient of anger, and might be classified as uninterested and bored rather than angry.
Since the air is a continuum, the network of communication remains intact regardless of the positions or motions of the points ( the people ) in the net.
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 difficulty of drawing the net is great, we will merely discuss it.
Since a civilizational crisis involves also a crisis in private interests and in the ruling class, reaction is normally found among those who feel themselves to be among the ruling class.
Since civilizational change is the most difficult to perceive and analyze, it seldom is given adequate attention.
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 more is known about Quiney than about any other acquaintance of Shakespeare in Stratford, his career may be followed to its sudden end in 1602.
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.
Since Laos is of no more purely military value to Moscow itself than it is to Washington, this approach might be expected to head off Mr. Khrushchev for the moment.
Since little is known about autism, and almost nothing has been written for the layman, we'd like to share one experienced mother's comments.
Since the work is done by hand, the only limitation, it is said, `` is that of human conception ''.
Since the apparatus is new, it requires experimentation and changes in technique.
Since the obvious is not always true, the Republican National Committee wisely analyzed its defeat of last autumn and finds that it occurred, as suspected, in the larger cities.
Since he has just shown who is top dog, he may not be ready to receive this highest honor in the gift of the Soviet people.
Since appeals to morality, to humanity, and to sanity have had such small effect, perhaps our last recourse is the deterrent example.
Since the goal of our international planners is a World Government, this Atlantic Community would mark a giant step in that direction for, once American economic autonomy is absorbed, a larger grouping is a question of time.

Since and nonnegative
Since the integral of a nonnegative integrand is always nonnegative,
Since the action S is real and can be split into S < sub >+</ sub > which only depends on φ on the positive half-space and S < sub >−</ sub > which only depends upon φ on the negative half-space and if S also happens to be invariant under the combined action of taking a reflection and complex conjugating all the fields, then the previous quantity has to be nonnegative.

Since and has
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 1954 the Negro's desire for social justice has led to an ironically anarchical rebellion.
Since 1953 California has led the nation in enacting guarantees that public business shall be publicly conducted, but not until this year did the lawmakers in Sacramento plug the remaining loopholes in the Brown Act.
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 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 then nothing has happened to save the life of Pope.
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 then, there has been a notable increase in the number of stations and also the accumulation of additional data and the development of new techniques for using it, leading to a better understanding of propagation phenomena.
Since the Industrial Revolution, when factories emerged, this classical pattern has been followed.
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 C is rational, this correspondence has K coincidences, each of which implies a line of the pencil which meets its image.
Since the course, one member has lost her husband.
Since her bereavement this individual has reported to the writer on numerous occasions about how helpful the class discussions were to her in this adjustment crisis.
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 that time the telegraph office has shifted in location from the railroad station at the Depot and shops at the Center back to the town clerk's office and drugstore at the Village.
Since 1948 the working headquarters has been the Department of Geology and Mineralogy.
Since the removal force is a function of coating thickness, a differential transformer pickup has been incorporated into the instrument to accurately measure film thickness.
Since the mid 1950s, when urethane foam first made its appearance in the American market, growth has been little short of fantastic.
Since interviewing is the basic therapeutic and diagnostic instrument of modern psychiatry, the recording of interviews for playbacks and study has been a boost of Redstone proportions in new research and training.
Since 1949, the St. Louis club has been below on May 1 just four times.
Since 1927, fewer than a dozen men have made serious runs at Babe Ruth's record and each, in turn, has been thwarted.

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