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Then by mathematical induction ( infinitely repeating the same step ), one shows there are a yet smaller, then a yet even smaller, example, and hence there must be an infinitude of ever smaller examples.
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Then and by
Then she turned back to Wilson and smiled, and he wasn't quite sure what she meant by it.
Then he astonished Matsuo by pushing and dragging himself until he sat.
Then, after overtures to accept a settlement and go through with a divorce, Miriam gave a ghastly echo of Mrs. Micawber by suddenly stating, `` I will never leave Mr. Wright ''.
Then Miriam varied the senseless psychological warfare by suddenly withdrawing a suit for separate maintenance that had been pending, and asking for divorce on the grounds of cruelty, with the understanding that Wright would not contest it.
My own stern hand has rent the ancient bond, And thereof shall the ending not have end: But not for me, that loved her, to be fond Lightly to please me with a newer friend Then hold it more than bravest-feathered song, That I affirm to thee, with heart of pride, I knew not what did to a friend belong Till I stood up, true friend, by thy true side ; ;
Certainly, the meaning is clearer to one who is not familiar with Biblical teachings, in the New English Bible which reads: `` Then Jesus arrived at Jordan from Galilee, and he came to John to be baptized by him.
Then came their bathroom, and then a bedroom that, judging by the photographs on the walls, must belong to Mme Cestre.
Then epistolatory me was a foreign correspondent dispatching exciting cables and communiques, full of dash and wit and glamor, quoting from the books I read, imitating the grand styles of the authors recommended by a teacher in whose special, after-school class I was enrolled.
Then, at last, his day would fall into an ordered pattern and he would be free to read, or garden or just wander through the woods in the late afternoon, accompanied by his dogs.
Then there are the trustees and officers of the great educational foundations, who inevitably exert an influence on educational decisions by their support or refusal to support various educational programs, experiments, and demonstrations.
Then he might finally recognize it, apparently by combining the visual blot, actually being seen, with tactual feelings in the head or body accompanying the tracing movements.
Then, advised by the Architect of the Capitol, the Joint Committee for the Library, traditionally responsible for the works of art in the building, ordered the space cleared and painted in fresco, to show `` the Peace after the Civil War '', `` the Spanish-American War '', and `` the Birth of Aviation '', to match as nearly as feasible Brumidi's technique and composition.
Then, by squeezing her foot three times, he came up -- presto -- with a different diagnosis with each squeeze.
Then he asked to use the phone and called Brian Thayer, who said that he was just leaving to keep a lunch date but would be home by two o'clock.
Then, when the case went to the jury, the judge excused one of the jurors, saying the juror had told him he had been accosted by masked men at his motel the night before the trial opened.
Then Charlie spooned out some quick impressions of the Nikita he had glimpsed: `` I was captivated by his humor, frankness and good nature and by his kind, strong and somewhat sly face ''.
Then, if the middle number is activated to its greatest potential in terms of this square, through multiplying it by the highest number, 9 ( which is the square of the base number ), the result is 45 ; ;
Then there are a pair of old biddies played by Grace Carney and Sibly Bowan who may be right off the shelf of stock Irish characters, but they put such a combination of good will and malevolence into their parts that they're quite entertaining.
Then, in order to prevent Polk from dissipating his forces by implementing his proposal to allow some men to join a partisan group, Johnston ordered him to send Pillow and 5, 000 men to Fort Donelson.
Seven stories are inspired by a nursery rhyme: And Then There Were None by Ten Little Indians ; One, Two, Buckle My Shoe by One, Two, Buckle My Shoe ; Five Little Pigs by This Little Piggy ; Crooked House by There Was a Crooked Man ; A Pocket Full of Rye by Sing a Song of Sixpence ; Hickory Dickory Dock by Hickory Dickory Dock, and Three Blind Mice by Three Blind Mice.
Then and mathematical
Then a mathematical procedure is used to find a filter transfer function which can be realized ( within some constraints ) and which approximates the desired response to within some criterion.
" Then he tried to find a mathematical model of a cosmic mechanism as to describe the Earth's climatic and geological history.
Then during the thirty years he acted as secretary of the Royal Society he exercised an enormous if inconspicuous influence on the advancement of mathematical and physical science, not only directly by his own investigations, but indirectly by suggesting problems for inquiry and inciting men to attack them, and by his readiness to give encouragement and help.
Then and induction
Then transfinite induction tells us that P is true for all ordinals.
For the induction step, suppose the multinomial theorem holds for m. Then
Then, in January 1994, McCartney went to New York City for Lennon's induction into the Rock and Roll Hall of Fame.
Then he went back to Hartford Seminary where he earned a doctorate in philosophy and an induction to Phi Beta Kappa.
Then and infinitely
Then almost every point of A returns to A infinitely often.
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.
Then and repeating
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 ).
Ibn Arabi suggested: " The Sufi should shut his door against the world for forty days and occupy himself with remembrance of Allah, that is to keep repeating, " Allah, Allah ..." Then, " Almighty God will spread before him the degrees of the kingdom as a test.
Then an alternative method of calculating the marginal densities is to create a Markov chain on the space by repeating these two steps:
Then repeating again that the parchments given in L ' Or de Rennes were fakes by Philippe de Chèrisey.
Then and same
Then they were tumbling again, and the big man reached into the same pocket he had gone for earlier, and came up with a vicious switchblade.
Then one of the prelates of the upper bar made an abstract, and another prelate of the same bar revised it.
Then the same mapping property assures that continuous-time filters that are minimum-phase are converted to discrete-time filters that preserve that property of being minimum-phase.
Then Ruhi Effendi referred to Ahmad as being in the same plight as himself, but reacting differently.
Then all elements of X equivalent to each other are also elements of the same equivalence class.
Then another prayer is offered, and the wine is circulated in the same manner.
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 the tumult of the thousand different cries of the eager dealers, all shouting at the top of their voices, at one and the same time, is almost bewildering.
Then, to the regular sound of a metronome, and with the same voice inflection, he would read out the syllables, and attempt to recall them at the end of the procedure.
Then, during the marathon at Manhattan Casino, I got tired of the same old steps and cut loose with a breakaway ..." Fox Movietone News covered the marathon and took a close-up of Shorty's feet.
Then, five pages later, she quotes the same passage again, but this time in full, straw and all, to show how witches had hallucinations of flight ( Murray 1921, 105-6 ); she does not realise that she has thereby wrecked her previous rationalistic interpretation of the passage.
Then, a flat layer cell forms on the exterior of this cavity, and the zona pellucida, the blastocyst's barrier, remains the same size as before.
Then the emf, E < sub > X </ sub >, of the same cell containing the solution of unknown pH is measured.
Then in March of the same year, following the insurrection of the Paris Commune the French government under Thiers relocated to Versailles, from where the insurrection was militarily quelled.
Then in 1820, André-Marie Ampère showed that parallel wires having currents in the same direction attract one another.
Then, by skipping the leap day, the Swedish calendar was introduced, letting February 28 be followed by March 1, giving the entire year the same pattern as a common year starting on Monday.
Then, after passing through various stages, the full Nabataean type is reached, retaining all the native features and at the same time exhibiting characteristics which are partly Egyptian and partly Greek.
" Acts 2: 41 then reports: " Then they that gladly received his word were baptized: and the same day there were added unto them about three thousand souls.
Then, in 2009, an unproduced pilot script written by Horne and Millest in 1966 was revived by the same Radio 4 team.
Then two points x and y in X are topologically distinguishable if they do not have exactly the same neighbourhoods ( or equivalently the same open neighbourhoods ); that is, at least one of them has a neighbourhood that is not a neighbourhood of the other ( or equivalently there is an open set that one point belongs to but the other point does not ).
Then on 22 January 1814 the same Assembly decided to concentrate the Executive Power in him as a Supreme Director for the United Provinces, and so he took that office for a one-year period.
Then, he brought an adult male up from the audience and asked him to lift the same box.
Then R (( G )) is the ring of formal power series on G ; because of the condition that the indexing set be well-ordered the product is well-defined, and we of course assume that two elements which differ by zero are the same.
* The Apprenticeship of Duddy Kravitz ( 1959 ), Joshua Then and Now ( 1980 ) and Barney's Version ( 1997 ) were adapted as films by the same names.
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