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Page "Topological group" ¶ 17
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fact and collection
During the Cenozoic, mammals proliferated from a few small, simple, generalized forms into a diverse collection of terrestrial, marine, and flying animals, giving this period its other name, the Age of Mammals, despite the fact that birds still outnumbered mammals two to one.
The whimsical Svetz series consists of a collection of short stories, The Flight of the Horse, and a novel, Rainbow Mars, which involve a nominal time machine sent back to retrieve long-extinct animals, but which travels, in fact, into alternate realities and brings back mythical creatures such as a Roc and a Unicorn.
All of this is presented in the context of the supposedly imminent end of the world — even though this is not in fact mentioned – a conviction that sparked numerous collections of end-time prophecies at the time, not least an unpublished collection by Christopher Columbus.
The fact that the rubaiyat are a collection of quatrains-and may be selected and rearranged subjectively to support one interpretation or another-has led to widely differing versions.
The collective form is therefore similar in many respects to an English mass noun like " rice ", which in fact refers to a collection of items which are logically countable.
Addressing Petre ( who is known to have lent him money to advance the printing of the collection ), Byrd describes the contents of the 1607 set as ‘ blooms collected in your own garden and rightfully due to you as tithes ’, thus making explicit the fact that they had formed part of Catholic religious observances in the Petre household.
In fact, given a set X and a collection F of subsets of X that has these properties, then F will be the collection of closed sets for a unique topology on X.
It was seen as a collection of leftovers ( not helped by the fact that one of the songs was actually called " Brain Salad Surgery ", and another had previously been released as a solo single by Lake ) and was ELP's first commercial failure.
In fact, he dedicated his collection of Dernières Poésies to his many friends, including Hérbert, Madame de la Grangerie, Maxime Du Camp and Princess Mathilde Bonaparte.
Much has been made of the fact that she purchased a return rail ticket and a ticket to a suffragette dance later that day, both items held in the collection of the Women's Library in London, and both suggesting that martyrdom was not her intention.
The chief value of the Visigothic code consists in the fact that it is the only collection of Roman Law in which the five first books of the Theodosian code and five books of the Sententiae Receptae of Julius Paulus have been preserved, and until the discovery of a manuscript in the chapter library in Verona, which contained the greater part of the Institutes of Gaius, it was the only work in which any portion of the institutional writings of that great jurist had come down to us.
These circumstances are secondary to the fact of Ixion's primordial act of murder ; it could be accounted for quite differently: in the Greek Anthology ( iii. 12 ), among a collection of inscriptions from a temple in Cyzicus is an epigrammatic description of Ixion slaying Phorbas and Polymelos, who had slain his mother, Megara, the " great one ".
It's revealed that in fact he is the Spider god of legend, and while Herc has Arachne occupied, he steals Arachne's mythical tapestry that got her bound to her cursed form adding it to his collection.
The college is also in possession of a large collection of silver ( including the mediæval silver gilt Founder's Crosier, housed in a display case in the chapel ), and two notable " unicorn horns " ( which are in fact narwhal tusks ).
In fact, during his performances at the Sperl-Ballroom in Vienna, where he established his name, he actively pursued the concept of collecting a fixed entrance fee from the patrons of the ballroom instead of the old practice of passing around a collection plate where income was reliant on the goodwill of the patrons.
The Theognidea might in fact be a collection of elegiac poems by different authors ( see Modern scholarship below ) and the " life " that emerges from them depends on which poems editors consider authentic.
Different scholars have different theories about the transmission of the text to account for the discrepancy yet it is generally agreed that the present collection actually contains too many verses under the name of Theognis: the collection appears in fact to be an anthology that includes verses by him.
It looks like a miscellaneous collection by different authors ( some verses are in fact attributed elsewhere to other poets ) but it is not known when or how the collection was finalized.
Blood oxygen and carbon dioxide are in fact directly sensed by the carotid body, a small collection of chemosensors at the bifurcation of the carotid artery, innervated by the petrosal ( IXth ) ganglion.
Other novels followed after the war ; in fact he averaged one novel and a collection of short stories a year, a prodigious feat.

fact and all
His advice, his voice saying his poems, the fact that he had not so much as touched her -- on the contrary, he had put his head back and she had stroked his hair -- this was all new.
To my knowledge, Lincoln remains the only Head of State and Commander-in-Chief who, while fighting a fearful war whose issue was in doubt, proved man enough to say this publicly -- to give his foe the benefit of the fact that in all human truth there is some error, and in all our error, some truth.
It seems quite obvious that all the really difficult tasks of human beings arise from the fact that man is not one, but many.
Perhaps the mere fact that by plucking on the nerves nature can awaken in the most ordinary of us, temporarily anyway, the sleeping poet, and in poets can discover their immortality, is the most remarkable of all the remarkable phenomena to which we can attest??
some Jews have in fact been all things to all men.
In fact, all persons were permitted to cross the Rhine into Kehl, there being no sentry posted on the west side of the river.
Underneath all the high-sounding phrases of royal and papal letters and behind the more down-to-earth instructions to the envoys was the inescapable fact that Edward would have to desert his Flemish allies and leave them to the vengeance of their indignant suzerain, the king of France, in return for being given an equally free hand with the insubordinate Scots.
In fact, modern scholarly opinion in the main has not retreated all the way back to the destructive scepticism of the first half of the nineteenth century.
Wade-Evans, in fact, denies that there were any Anglo-Saxon invasions at all other than a minor Jutish foray in A.D. 514.
But his rancor did not cease, and presently, on March 13, when he preached a sermon on the text, `` And Ben-hadad Was Drunk '', he told his congregation how disappointed he was in Mr. Lewis, how he regretted having had him in his house, and how he should have been warned by the fact that the novelist was drunk all the time that he was working on the book.
He has shown considerable ingenuity in adapting his earliest symbols and devices to the new work, and the fact that he has kept a body of constant symbols through all of his experiments gives an unexpected continuity to his poetry.
It is a fact of life that magazines are edited by groups: they have to be or they wouldn't be published at all.
The publication last July of the party's Draft Program -- that blueprint for the `` transition to communism '' -- had led the uninitiated to suppose that this Twenty-second Congress would be a sort of apotheosis of the Khrushchev regime, a solemn consecration of ideas which had, in fact, been current over the last three or four years ( i.e., since the defeat of the `` anti-party group '' ) in all theoretical party journals.
in fact, with having been against all the more popular features of the Khrushchev `` welfare state ''.
As this year marks the centennial of the beginning of the Civil War, this fact is being commemorated with several exhibits throughout the State, but most of all paying tribute to the first Rhode Island Volunteers who rushed to the defense of the City of Washington, putting at the disposal of President Lincoln the only fully equipped and best trained regiment at this time.
The action of the Commission in allowing or denying any claim under this title shall be final and conclusive on all questions of law and fact and not subject to review by the Secretary of State or any other official, department, agency, or establishment of the United States or by any court by mandamus or otherwise.
However, it determined that neither this factor, nor `` the fact that all concerned in high executive posts in both companies acted honorably and fairly, each in the honest conviction that his actions were in the best interests of his own company and without any design to overreach anyone, including Du Pont's competitors '', outweighed the Government's claim for relief.
This is true because of savings in utility lines and the fact that your buildings have a useful radius equal in all directions.
Mr. Blatz had been at least sober enough to remember to telephone and he turned out to be the greatest boon that had come into Mr. Crombie's life since he moved to Highfield, in spite of the fact that he didn't work very fast or very long at a time, and he didn't like to work at all unless Mr. Crombie hung around and talked to him.
Above all, we should seek to encourage the leaders of these societies to accept the unpleasant fact that they are responsible for their fates.
Perhaps this was related to the fact that all were in on it to some extent.
These differences in turn result from the fact that my Yokuts vocabularies were built up of terms selected mainly to insure unambiguity of English meaning between illiterate informants and myself, within a compact and uniform territorial area, but that Hoijer's vocabulary is based on Swadesh's second glottochronological list which aims at eliminating all items which might be culturally or geographically determined.
And the few must win what the many lose, for the opposite arrangement would not support markets as we know them at all, and is, in fact, unimaginable.

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