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It is known that there exists a unique Delaunay triangulation for P, if P is a set of points in general position ; that is, there exists no k-flat containing k + 2 points nor a k-sphere containing k + 3 points, for 1 ≤ k ≤ d − 1 ( e. g., for a set of points in < big > ℝ </ big >< sup > 3 </ sup >; no three points are on a line, no four on a plane, no four are on a circle, and no five on a sphere ).
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Even the knowledge that she was losing another boy, as a mother always does when a marriage is made, did not prevent her from having the first carefree, dreamless sleep that she had known since they dropped down the canyon and into Bear Valley, way, way back there when they were crossing those other mountains.
All such imitations of negative quality have given rise to a compensatory response in the form of a heroic and highly individualistic humanism: if man can neither know nor love reality as it is, he can at least invent an artistic `` reality '' which is its own world and which can speak to man of purely personal and subjective qualities capable of being known and worthy of being loved.
In his stead is a milquetoast version known as `` the corporation ''.
On April 11th he wrote an open letter in The Advocate, making it known `` to the world that Jas. W. Robinson is by his own admission a base liar and a slanderer ''.
What is not so well known, however, and what is quite important for understanding the issues of this early quarrel, is the kind of attack on literature that Sidney was answering.
This was accordingly done, and the plight of the grateful Mrs. Morris was much relieved as a result of the generous loan, the amount of which is not known.
In spite of the armistice negotiated by Amadee two years earlier, the war between Bishop Guillaume of Lausanne and Louis of Savoy was still going on, and although little is known about it, that little proves that it was yet another phase of the struggle against French expansion and was closely interwoven with the larger conflict.
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.
In light of the scholarly reappraisals engendered by the higher criticism this is a most remarkable statement, particularly coming from one who was well known for his antifundamentalist views.
Because of the means of publication -- science-fiction magazines and cheap paperbacks -- and because dystopian science fiction is still appearing in quantity the full range and extent of this phenomenon can hardly be known, though one fact is evident: the science-fiction imagination has been immensely fertile in its extrapolations.
Easily the best known of these three novels is The Space Merchants, a good example of a science-fiction dystopia which extrapolates much more than the impact of science on human life, though its most important warning is in this area, namely as to the use to which discoveries in the behavioral sciences may be put.
and it should be far better known than it is.
The story of the fatal crash is not fully known.
Now Richards, of course, is known as a deep thinker as baseball managers go.
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.
First of all, it is now known that Pope John sees the renewal and purification of the Church as an absolutely necessary step toward Christian unity.
Of the handful of painters that Austria has produced in the 20th century, only one, Oskar Kokoschka, is widely known in the U.S..
It is known that at least five towns ( Barrington, Bristol, Narragansett, Newport and Westerly ) place some value on some boats for tax purposes.
As I have repeatedly stated, this provision is much more restrictive than the general law, popularly known as the Buy American Act.
This is a phenomenon familiar to all radio listeners, resulting from reflection of skywave signals at night from the ionized layer in the upper atmosphere known as the ionosphere.
is and there
`` The main bunch is outside, but there are some over there inside the wall ''.
But there's one thing I never seen or heard of, one thing I just don't think there is, and that's a sportin' way o' killin' a man ''!!
Bryn Mawr Drive is only two or three miles from the Spartan, and it took me less than five minutes to get there.
Nevertheless, there is no bath.
It is the last of the three tests of manhood which the women impose, to discover if a male is worthy of survival there.
`` There isn't anything left to say, is there, Keith ''??
He thought of the jungles below him, and of the wild, strange, untracked beauty there and he promised himself that someday he would return, on foot perhaps, to hunt in this last corner of the world where man is sometimes himself the hunted, and animals the lords.
But there is no use causing him to worry at this time ''.
The strong feeling is certainly there ; ;
but there is a leavening of liberalism among college graduates throughout the South, especially among those who studied in the North.
The long-settled areas of states like Virginia and South Carolina developed the ante-bellum culture to its richest flowering, and there the memory is more precious, and the consciousness of loss the greater.
And there is no section of the nation more ardent than the South in the cold war against Communism.
Had the situation been reversed, had, for instance, England been the enemy in 1898 because of issues of concern chiefly to New England, there is little doubt that large numbers of Southerners would have happily put on their old Confederate uniforms to fight as allies of Britain.
Ratified in the Republican Party victory in 1952, the Positive State is now evidenced by political campaigns being waged not on whether but on how much social legislation there should be.
At General Power's seat in the balcony there is also a gold phone.
They are huge areas which have been swept by winds for so many centuries that there is no soil left, but only deep bare ridges fifty or sixty yards apart with ravines between them thirty or forty feet deep and the only thing that moves is a scuttling layer of sand.
For one thing, there is a natural belt of rock across the river bed ; ;
Down through the axis of the bridge there is a long diminishing vista like a visual echo of piers and arches, while the vaults fronting upstream and down frame the sunset and sunrise, the mountains and river pools.
Yet within this limitation there is an astonishing variety: design as intricate as that in the carpet or miniature, with the melodic line like the painted or woven line often flowing into an arabesque.
Thus, there is freshness not only in the individual movements of the dance but in the shape of their continuity as well.
However, there is always the possibility that chance will make demands the dancers find impossible to execute.
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