Help


[permalink] [id link]
+
Page "Compactification (mathematics)" ¶ 7
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

fact and large
That unused room was large enough for -- well, say an elephant could get into it and, as a matter of fact, an elephant did.
In this domain the simple fact of coexistence in the same local, national, and world community is enough to guarantee that we cannot refrain from having some effect, large or small, upon Gentile-Jewish relations.
In fact, over the years, the American farmer's capacity to over-produce has cost the taxpayers a large dollar.
It seems that Khrushchev himself took a very special pride in having made a world-shaking contribution to Marxist doctrine with his Draft Program ( a large part of his twelve-hour speech at the recent Congress was, in fact, very largely a rehash of that interminable document ).
The problem of efficient production in textiles is complicated by the fact that the industry serves large markets which shift quickly with changes of fashion in apparel or home decoration.
for, using the fact that N and N' commute Af and so when R is sufficiently large every term in this expression for Af will be 0.
The religion, in fact, is an expression of the unity of the group, small or large.
This hypothesis will account for a large part of the difficulties of tonal analysis, as well as the fact that vowel systems are often more puzzling than consonantal systems.
One social-class factor which plays a large part in educational policy today is the fact that a great many school and college teachers are upward mobile from urban lower-class and lower-middle-class families.
The fact seems to be that very many large branch stores are uneconomical, that the choice of location in the suburbs is as important as it was downtown, and that even highly suburbanized cities will support only so many big branches.
In fact, it can be any positive integer, but for reasons discussed below, large numbers are seldom encountered.
In front of the large windows, as if they were pillars that support the complex stone structure, there are six fine columns that seem to simulate the bones of a limb, with an apparent central articulation ; in fact, this is a floral decoration.
The RAND Corporation's Memorandum 5446-ISA / ARPA states: " the fact that the VC obtain most of their food from the neutral rural population dictates the destruction of civilian crops ... if they ( the VC ) are to be hampered by the crop destruction program, it will be necessary to destroy large portions of the rural economy – probably 50 % or more ".
Herodotus had no Athenian victories to record after the initial success, and the fact that Themistocles was able to carry his proposal to devote the surplus funds of the state to the building of so large a fleet seems to imply that the Athenians were themselves convinced that a supreme effort was necessary.
In fact, there were dozens of leagues, large and small, at this time.
“ A visit to the ground has only confirmed me ,” Lucas wrote in 1921 ; “ and it was interesting to find that Mr. Apostolides, son of the large local landowner, the hospitality of whose farm at Tekés I enjoyed, was convinced too that the site was by Driskole Krini, for the very sound reason that neither the hills nor the river further east suit Caesar ’ s description .” John D. Morgan in his definitive “ Palae-pharsalus – the Battle and the Town ”, arguing for a site closer still to Krini, where he places Palaepharsalos, writes: “ My reconstruction is similar to Lucas ’ s, and in fact I borrow one of his alternatives for the line of the Pompeian retreat.
" In addition to the lack of evidence, scientists cite the fact that Bigfoot is alleged to live in regions unusual for a large, nonhuman primate, i. e., temperate latitudes in the northern hemisphere ; all recognized nonhuman apes are found in the tropics of Africa and Asia ( although some smaller primates, such as Japanese macaques, are found in Asia up to the latitude of Northern California, and can cope with air temperatures to-20 ° C (- 4 ° F )).
Most uses of diamonds in these technologies do not require large diamonds ; in fact, most diamonds that are gem-quality except for their small size, can find an industrial use.
Apart from terrestrial mammals, the seas around Crete are rich in large marine mammals, a fact unknown to most Greeks, although reported since ancient times.
A 2nd century CE Greek known as Heraclitus the paradoxographer --- not to be confused with the 5th century BCE Greek philosopher Heraclitus --- claimed Euhemeristically that Cerberus had two pups which were never away from their father, as such Cerberus was in fact a normal ( however very large ) dog but artists incorporating the two pups into their work made it appear as if his two children were in fact extra heads.
In fact, the distribution of the sample mean will be equal to the distribution of the samples themselves ; i. e., the sample mean of a large sample is no better ( or worse ) an estimator of x < sub > 0 </ sub > than any single observation from the sample.
Many people at the time viewed horse-drawn transit as unnecessarily cruel, and the fact that a typical horse could work only four or five hours per day necessitated the maintenance of large stables of draft animals that had to be fed, housed, groomed, medicated and rested.

fact and interesting
It is a very interesting fact that these two problems can be handled simultaneously and this is what we shall do in the next chapter.
It is particularly interesting that those who framed the report should refer to `` the organization which actually owns the university '': this seems to show an awareness of the fact that there is more to the problem than the ordinary issue of clerical-lay tension.
It is a striking fact that Ammianus, though a professional soldier, gives excellent pictures of social and economic problems, and in his attitude to the non-Roman peoples of the empire he is far more broad-minded than writers like Livy and Tacitus ; his digressions on the various countries he had visited are particularly interesting.
In around 500 BCE, after the Zhou state weakened and China moved into the Spring and Autumn Period, the classic period of Chinese philosophy began ( it is an interesting fact that this date nearly coincides with the emergence of the first Greek philosophers ).
However, an attempt to convert this interesting geometrical construction into a bona-fide model of reality founders on a number of issues, including the fact that the fermions must be introduced in an artificial way ( in nonsupersymmetric models ).
It is perhaps interesting to ask whether or not most structures consistent with physical law can in fact be manufactured.
In fact, further study of the exact nature of the performance problems turned up a number of interesting facts.
In some cases, a large number of interactions can in fact work against the emergence of interesting behaviour, by creating a lot of " noise " to drown out any emerging " signal "; the emergent behaviour may need to be temporarily isolated from other interactions before it reaches enough critical mass to be self-supporting.
Another interesting fact that he was younger than Sviatopolk according to the words of Boris in the Tale of Bygone Years and not as it was officially known.
In this context, the fact that Ulam's uncle Michael died in Monte Carlo is interesting.
The review tallying website Rotten Tomatoes scores The Abyss a " Certified Fresh " rating of 88 %, with 36 out of the 41 counted reviews being positive and an average rating of 7. 4 out of 10, with the consensus: " The utterly gorgeous special effects frequently overshadow the fact that The Abyss is also a totally gripping, claustrophobic thriller, complete with an interesting crew of characters.
An interesting fact derived in order to prove this result, is that the random vectors and are independent.
In fact, it is a theorem that all adjoint functors between additive categories must be additive functors ( see here ), and most interesting functors studied in all of category theory are adjoints.
For example, conflict between parties make for an interesting story, which is why legal dramas emphasize the trial and ignore the fact that the vast majority of civil and criminal cases in the United States are settled out of court.
Not ruled or regulated by measurement criteria as today, it is interesting to note the second place finisher was Aurora, “ and but for the fact that time allowance had been waived for the race she would have been the winner by a handsome margin.
One interesting fact was that two of its four leaders were young women, among them Anne-Sofie Østvedt.
The fact that the NCS is well established in Michigan is particularly interesting in light of the dominant beliefs about local speech.
One interesting fact about the City of Spokane Valley is that while in Spokane itself north-south streets are called " streets ", they are called " roads " in the Valley, even though usually only rural access roads are given that term.
Musk Cats also have an interesting " reaction " to the Laerma nuts found on Dezoris, a fact which makes Myau even more valuable.
An interesting fact is that this constitution would influence political thought on both sides of the Mexican political spectrum, with even Iturbide bending to it when he created the first congress of an independent Mexico.
It seems to me that this importance is largely due to the fact that with this concept one has for the first time succeeded in giving an absolute notion to an interesting epistemological notion, i. e., one not depending on the formalism chosen.
What is most interesting about the poem, however, is not the fact that it depicts the city with photographic accuracy, but that it acts as a guide to the upper, and upper-middle class walkers of society.

0.760 seconds.