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Page "Inner product space" ¶ 37
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Then and first
Then I plan my attack: the parts I will finish first, the range of values, the accenting of minor details -- all in all, mechanics of producing the finished job with a maximum of crispness.
Then, for the first time since his arrest, a glint of spirit lit Barco's eyes.
Then in 1875, apparently in response to the nationalizing influence of the Civil War, Congress first gave the lower federal courts general authority -- concurrently with state tribunals -- to decide cases involving federal-right questions.
Then comes the time when the last wire is removed and Susie walks out a healthier and more attractive girl than when she first went to the orthodontist.
Then, six weeks after the day Kitti first came into the office, Stanley announced he and Kitti were married.
Then the skiff hove into sight, just a dot of light at first against the roiling blackness and crimson streaks of the Coal Sack.
Then, taking in on the first cable as the boat is motored into the wind and letting slack while drifting back, a second anchor is set approximately a half-scope away from the first on a line perpendicular to the wind.
Then, according to the first law of thermodynamics,
Then, in probably the most interesting part of the hymn, Enheduanna herself steps forward in the first person to recite her own past glories, establishing her credibility, and explaining her present plight.
Then, starting with the first player, each player draws six tiles.
Then, p < sup > 2 </ sup > is the fraction of the population homozygous for the first allele, 2pq is the fraction of heterozygotes, and q < sup > 2 </ sup > is the fraction homozygous for the alternative allele.
Then he came, in his words, to " the theory of symmetry: all governments and regimes to a first approximation are bad, all peoples are oppressed, and all are threatened by common dangers.
Then, he tied for first with Alexander Alekhine at St. Petersburg 1913 / 14 ( the eighth All-Russian Masters ' Tournament ).
Then in 1845 the Rainbow, 757 tons OM, the first extreme clipper was launched in New York.
Then Wollheim changed everything when he brought out an unauthorized paperback edition of J. R. R. Tolkien's The Lord of the Rings in three volumes — the first mass-market paperback edition of Tolkien's epic.
Then, somewhat later that same month, there was a meeting in Washington where the possible importance of the newly discovered phenomenon of fission was first discussed in semi-jocular earnest as a possible source of nuclear power.
Then since the first bit of a non-zero binary significand is always 1 it need not be stored, giving an extra bit of precision.
Then Fick's first law ( one-dimensional case ) can be written as:
Then one day, his wife received a telephone call from Patti Palmer, first wife of Jerry Lewis.
Then Marlow and his listeners were silent ; our first narrator explains: " Nobody moved for a time.
Then he went to hear a Pythagorean philosopher, who demanded that he first learn music, astronomy and geometry, which he did not wish to do.
This melding of scientific and social speculation is clearly present in the novel Voyage from Yesteryear ( strongly influenced by Eric Frank Russell's famous story " And Then There Were None ") about a high-tech anarchist society in the Alpha Centauri system, a starship sent from Earth by a dictatorial government, and the events following their first contact.
His first album for Celeb-entertainment titled This Was Then This Is Now Vol.

Then and argument
Then, using the periodic Bernoulli function P < sub > n </ sub > defined above and repeating the argument on the interval, one can obtain an expression of ƒ ( 1 ).
The algorithm for deciding this is conceptually simple: it constructs ( the description of ) a new program t taking an argument n which ( 1 ) first executes program a on input i ( both a and i being hard-coded into the definition of t ), and ( 2 ) then returns the square of n. If a ( i ) runs forever, then t will never get to step ( 2 ), regardless of n. Then clearly, t is a function for computing squares if and only if step ( 1 ) terminates.
Then, in 1992, Justice John Toohey ran out of patience with Alan Skyring and Patrick Cusack's repeated attempts to obtain a re-hearing on their argument that the Commonwealth did not have the power to issue paper money.
Then, by linearity of the inner product in its first argument, one has
Arion is alluded to in Plato's " Republic " at 453d, where Socrates says: “ Then we, too, must swim and try to escape out of the sea of argument in the hope that either some dolphin will take us on its back.
Then Peter E. Hart introduced an argument that established A2, with only minor changes, to be the best possible algorithm for finding shortest paths.
Then the argument,
Then x is evaluated, and then the result is given the continuation object as an argument.
Then, when making his argument as to why he should be king, he says to Henry, " Thy hand is made to grasp a palmer's staff / And not to grace an aweful princely sceptre " ( 5. 1. 97 – 98 ).
Then, a Φ function is live only if any use in the input program will be rewritten to it, or if it will be used as an argument in another Φ function.
From Tristram Shandy: " Then, added my father, making use of the argument Ad Crumenam, ' I will lay twenty guineas to a single crown-piece, ( which will serve to give away to Obadiah when he gets back ) that this same Stevinus was some engineer or other, or has wrote something or other, either directly or indirectly, upon the science of fortification.
Then by the argument principle
Then in 1927, Winston Churchill published his own account of the war, coming down heavily on Beatty's side in the argument.
Then neo-evolutionism discards the determinism argument and introduces probability, arguing that accidents and free will greatly affect the process of social evolution.
Then a rather difficult argument using generators and relations in the group G shows that the set is closed under taking inverses.
Then again words of different languages are gathered together without the type of argument which would be expected in order to demonstrate possible relationship.
Then, suddenly, Viola's own dreadful mother-in-law, Kevin's grandmother, Gertrude Fields ( Elaine Stritch ), appears and they have an argument.
Then, during a song, Eunice and Thelma started having a violent argument on stage, during which Mama revealed to everyone present the circumstances under which Eunice was conceived.
Then one asked to be convinced, and the Deacon gave him an argument suited to the hypothesis that the earth is not really turning.
Then neoevolutionism discards the determinism argument and introduces probability, arguing that accidents and free will have much impact on the process of social evolution.
Then Hume argues that space and time themselves aren't infinitely divisible, and the argument is that if time was infinitely divisible there could be two moments coexisting which is against the definition of time, there must be an indivisible part of time, and from the concept of motion the same can be said of space.

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