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Page "Algebraic number" ¶ 18
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fact and is
In fact, one important aspect of their very religion is the annihilation of men ''.
In fact it has caused us to give serious thought to moving our residence south, because it is not easy for the most objective Southerner to sit calmly by when his host is telling a roomful of people that the only way to deal with Southerners who oppose integration is to send in troops and shoot the bastards down.
The fact is due mainly to international wars, both hot and cold.
While the pattern is uneven, some having gained more than others, nationalism has in fact served the Western peoples well.
In point of fact, this is a beige box with a bright red door, about one and a half feet square and hung from the wall about six feet from the door to Wisman's right.
The fact is that the Southern Confederacy differed from the earlier one almost as much as the Federal Constitution did.
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.
In fact the accumulation of the hardware of destruction is day by day increasing our fear of each other.
The new fact the initiates of this cult have to learn is that they must move toward simplicity.
The magic circle is, in fact, a symbol of and preparation for the metaphysical orgasm ''.
Operating as a one man police force in fact if not in name, he is at once more independent and more dedicated than the police themselves.
`` I may possibly be a greater risk than is the normal person of my age '', the President had said on February 29th of the election year, ignoring the fact that no one of his age had ever lived out another term.
In the incessant struggle with recalcitrant political fact he learns to focus the essence of a problem in the significant detail, and to articulate the distinctions which clarify the detail as significant, with what is sometimes astounding rapidity.
we accord it its place there, and in Lawrence's treatment we are given the innocent fantasy of a child, in fact, the form in which oedipal love is expressed in childhood.
There is probably some significance in the fact that two of the best incest stories I have encountered in recent years are burlesques of the incest myth.
How much they esteemed him is shown by the fact that their underground committee selected him as one of the few who would be helped to escape.
That is not to deny that he has been aware of traditions, of course, that he is steeped in them, in fact, or that he has dealt with them, in his books.
There is evidence to suggest, in fact, that many authors of the humorous sketches were prompted to write them -- or to make them as indelicate as they are -- by way of protesting against the artificial refinements which had come to dominate the polite letters of the South.
It seems quite obvious that all the really difficult tasks of human beings arise from the fact that man is not one, but many.
If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.
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??

fact and smallest
Cheirogaleids are smaller than the other lemurs and, in fact, they are the smallest primates.
The fact that all currently known ( 2009 ) matter particles fit nicely into three copies of the smallest group representations of SU ( 5 ) and immediately carry the correct observed charges, is one of the first and most important reasons why people believe that a Grand Unified Theory might actually be realized in nature.
Contributing to this decline in ticket sales is the fact that Jacksonville is one of the league's smallest markets, though its stadium is relatively large ; since 2005 the team has covered nearly 10, 000 of the stadium's 73, 000 total seats with tarp in order to lower the stadium's official capacity to a more typical size and reduce blackouts.
Jan van Mill has described as a ' three headed monster ' — the three heads being a smiling and friendly head ( the behaviour under the assumption of the continuum hypothesis ), the ugly head of independence which constantly tries to confuse you ( determining what behaviour is possible in different models of set theory ), and the third head is the smallest of all ( what you can prove about it in ZFC ).< ref > It has relatively recently been observed that this characterisation isn't quite right-there is in fact a fourth head of, in which forcing axioms and Ramsey type axioms give properties of almost diametrically opposed to those under the continuum hypothesis, giving very few maps from indeed.
Large municipalities have in fact less number of single family homes, but many more apartments whereas the smallest towns have few apartments and a lot of single family homes.
Two white eggs are laid, which, despite being the smallest of all bird eggs, are in fact large relative to the hummingbird's adult size.
The smallest rooms may not have coincided with the poorest people ; in fact, it could be that the poorest people built houses out of perishable materials such as reeds on the outside of the city, but there is very little direct evidence for this.
It is the smallest incorporated community in Broward County by population and by area, largely due to the fact that it is completely composed of a single small housing development.
Being one of the smallest nations in the world it was in fact impossible for the Netherlands to even attempt to establish a typical settler colony.
The IBM origin of the numbering scheme is reflected in the fact that the smallest ( first ) numbers are assigned to variations of IBM's EBCDIC encoding and slightly larger numbers refer to variations of IBM's extended ASCII encoding as used in its PC hardware.
Another consequence of 17 being a Fermat prime is that it is not a Higgs prime for squares or cubes ; in fact, it is the smallest prime not to be a Higgs prime for squares, and the smallest not to be a Higgs prime for cubes.
In fact Lhotse has the smallest topographic prominence value of any official eight-thousander, as it rises only 610 m ( 2, 000 ft ) above the South Col.
The concept of a measurable cardinal was introduced by, who showed that the smallest cardinal κ that admits a non-trivial countably-additive two-valued measure must in fact admit a κ-additive measure.
Anything moving along this dimension's direction would return to its starting point almost instantaneously, and the fact that the dimension is smaller than the smallest particle means that it cannot be observed by conventional means.
In fact, it is the smallest subspecies overall.
In fact, " sharp-shins " or " sharpies " ( as they are sometimes casually called ) are the smallest to reside in USA and Canada, though some Neotropical species are smaller ( notably the aptly named Tiny Hawk ).
It is claimed by some residents that the village is in fact the smallest town in Britain, as there is a mayor and corporation in Winchelsea, but the claim is disputed by places such as Fordwich.
The only Virginia statistic affected is smallest county by area ; if independent cities are included, Falls Church becomes the smallest county in the state, and in fact the smallest county-level political subdivision in the United States, at.
The name HO is derived from the fact that its 1: 87 scale is approximately half that of O scale which was the smallest of the series of older and larger 0, 1, 2 and 3 scales introduced by Märklin around 1900.
The sexes are similar, although the male is larger, with a proportionally longer bill and neck ; in fact the largest females are barely as large as the smallest males.
The etiological agent was first thought to be a virus, but Hayflick showed that it was, in fact, a mycoplasma, a member of the smallest free-living class of microorganisms.

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