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Page "Examples of differential equations" ¶ 14
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Here and so
Miriam Noel Wright said, `` Here I am at my own home, locked out so I must stand in the road ''!!
Here, in two nations alone, are almost five hundred million people, all working, and working hard, to raise their standards, and in doing so, to make of themselves a strong bulwark against the spread of an ideology that would destroy liberty.
Here, as in all sectors of the economy, quality and justice are both dependent on the right of the individual to deal directly with his employer if he so chooses.
Here was what was called the American dream, namely, the effort to build a structure which would be something new in history and to do so in such fashion that God could bless it.
Here I sit and there you are lying ; we have so much to say, and we shall never say it.
Here Vernon and Irene Castle were important, and so was a generation of English dancers in the 1920s, including Josephine Bradley and Victor Silvester.
Here K denotes the field of real numbers or complex numbers, I is a closed and bounded interval b and p, q are real numbers with 1 < p, q < ∞ so that
Here, i is the complex number whose square is the real number − 1 and is identified with the point with coordinates ( 0, 1 ), so it is not the unit vector in the direction of the x-axis ( this confusion is just an unfortunate historical accident ).
Here, each vertex ( pole ) is associated with a face plane ( polar plane or just polar ) so that the ray from the center to the vertex is perpendicular to the plane, and the product of the distances from the center to each is equal to the square of the radius.
Here, the focus is not on finding precise solutions to the equations defining the dynamical system ( which is often hopeless ), but rather to answer questions like " Will the system settle down to a steady state in the long term, and if so, what are the possible attractors?
Here, X is a set, and Σ is a sigma-algebra on X, so that the pair ( X, Σ ) is a measurable space.
Here alone is preserved a summary of the writings of the Phoenician priest Sanchuniathon of which the accuracy has been shown by the mythological accounts found on the Ugaritic tables, here alone is the account from Diodorus Siculus's sixth book of Euhemerus ' wondrous voyage to the island of Panchaea where Euhemerus purports to have found his true history of the gods, and here almost alone is preserved writings of the neo-Platonist philosopher Atticus along with so much else.
Here, transaction costs are low, so mutually beneficial agreements are found, and the person who values the service the most will hold it ( Browning and Browning 1979 ).
" Mr. Thomas Scott, who had been so much deluded by the hypocrosy of Monk ... said: ' That though he knew not where to hide his head at that time, yet he durst not refuse to own, that not only his hand, but his heart also was in it ' and after he had produced divers reasons to prove the justice of it, he concluded, ' that he should desire no greater honor in this world, than that the folloing inscritption might be engraved on his tomb ; " Here lies one who had a hand and a heart in the execution of Charles Stuart late King of England.
:" Here are all the minstrels rare Who now acquit themselves so fair In playing on their pipes whate ' er The dances be that one may do.
Here along the sea shore Gosse began serious experimentation with ways to sustain sea creatures so that they could be examined " without diving to gaze on them.
Here, the Chinese character 至 means " extreme ", so the terms for the solstices directly signify the summits of summer and winter.
Here, the task is akin to psychological recovery, and the mental hospital, so long a refuge for the discarded and the dispossessed, is now itself discarded.
Here the lake is considered so environmentally sensitive that steam and motor boats have been prohibited since 1909.
As he did so, he was supposed to have declaimed: Here I stand and here I rest.
: Here again, instructions have to be scheduled so that the various functional units are fully fed with instructions to execute.
Opening to rave reviews, From Here to Eternity proved to be an instant hit with critics and the public alike, the Southern California Motion Picture Council extolling: " A motion picture so great in its starkly realistic and appealing drama that mere words cannot justly describe it.
Here the eggs are fertilized and segment so that the young embryos are formed within their mother's body.
Here the contestants had been asked to modify their weapons so that they could use the standard size of cartridge used by the Austrian infantry.

Here and .
Here comes Jason.
Here, she dropped the keys on a small table beside the door and went upstairs to her bedroom.
Here in the God-forsaken place, the westerly end of nowhere, Tom Lord looked almost insignificant, almost contemptible.
Here he couldn't be seen by Blue Throat and his gang.
Here, in the old days -- when they had come to see the moon or displays of fireworks -- sat the king and his court while priests, soldiers, and other members of the party lounged in the smaller alcoves between.
Here, on the hottest day, it is cool beneath the stone and fresh from the water flowing in the sluices at the bottom of the vaults.
Here in an evening Persians enjoy many of the things which are important to them: poetry, water, the moon, a beautiful face.
Here in these little rooms -- or stages arched open to the sky and river -- they choose a few lines out of the hundreds they may know and sing them according to one of the modes into which Persian music is divided.
Here artistic realism involves the audience in an impassioned participation in events whose overtones and implications are transcendent.
Here there may be an analogy with cancer: we can detect cancers by their rapidly accelerating growth, determinable only when related to the more normal rate of healthy growth.
Here, on a desk, is a stack of pamphlets representing the efforts of some of the best men of the day to penetrate these questions.
Here Wright gave a slight sigh of weariness, and continued, `` It means more long years lived across the social grain of the life of our people, making shift to live in the face of popular disrespect and misunderstanding as I best can for myself and those dependent upon me ''.
Here, if anywhere, it is not wholly incontrovertible.
Here, he openly attacked Bang-Jensen and referred to his `` aberrant conduct ''.
Here I do not mean catharsis, the discharge of emotion.
Here we may observe that at least one modern philosophy of history is built on the assumption that ideas are the primary objectives of the historian's research.
Here an important caveat is in order.
Here the war would flame to its focus, and here Lewis Littlepage had come.
Here was Gorton's chance to indulge in something at which he was supreme.
Here the Pennsylvania militia skirmished with the British, but soon fled.
Here was another indispensable tool.
As Courtenay explains, `` Here in this profession we reach into the souls of men and women.
Here I am face to face with the primeval stuff ''.
Here, in the cool, autumn-touched evening, Mr. Podger mentally retraced a day that had left him greatly contented and at peace.

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