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Page "Noetherian ring" ¶ 16
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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 possible
The fact that even the larger letters weighed only 5 lb. each made it possible to secure the letters to the building through clear acrylic angle brackets cemented to the letters.
This is usually done on the basis that the lower court judge erred in the application of law, but it may also be possible to appeal on the basis of court misconduct, or that a finding of fact was entirely unreasonable to make on the evidence.
One possible target for drugs is the plastid, and in fact existing drugs such as tetracyclines which are effective against apicomplexans seem to operate against the plastid.
A species of Paranthropus, such as Paranthropus robustus, with its crested skull and bipedal gait, was suggested by primatologist John Napier and anthropologist Gordon Strasenburg as a possible candidate for Bigfoot's identity, despite the fact that fossils of Paranthropus are found only in Africa.
In fact, BQP is low for PP, meaning that a PP machine achieves no benefit from being able to solve BQP problems instantly, an indication of the possible difference in power between these similar classes.
In fact, the practice has made possible the longevity of the genre's more popular strips.
Noting another proof that self-replicating machines are possible is the simple fact that all living organisms are self replicating by definition.
Since it is possible for such things not to exist, there must be some time at which these things did not in fact exist.
It is, in fact, possible to have multiple simultaneous de jure legalities that are not de facto.
The word dandelion ( literally, tooth of lion, referring to the shape of the leaves ) is another example, being a substitute for pissenlit, meaning " wet the bed ", a possible reference to the fact that dandelion was used as a diuretic.
It also is possible that Bede had the date of Æthelberht ’ s death wrong ; if, in fact, Æthelberht died in 618, this would be consistent with his baptism in 597, which is in accord with the tradition that Augustine converted the king within a year of his arrival.
A possible reason for the willingness of the Franks to connect themselves with the Kentish court is the fact that a Frankish king, Chilperic I, is recorded as having conquered a people known as the Euthiones during the mid-sixth century.
It is also possible that the fact impressed itself upon Eusebius that the religious consciousness of the time more and more opposed Berengar.
Because the four color theorem is true, this is always possible ; however, because the person drawing the map is focused on the one large region, he fails to notice that the remaining regions can in fact be colored with three colors.
This scalability is made possible by the fact that human relationships tend to form small-world networks, a property that can be exploited to find short paths between any two people.
The important fact is that at very high velocities the behavior of the particle-like modes becomes distinct from the relativistic one-they can reach the speed of light limit at finite energy ; also the faster-than-light propagation is possible without requiring moving objects to have imaginary mass.
The unusual stability of the helium-4 nucleus is also important cosmologically: it explains the fact that in the first few minutes after the Big Bang, as the " soup " of free protons and neutrons which had initially been created in about 6: 1 ratio cooled to the point that nuclear binding was possible, almost all first compound atomic nuclei to form were helium-4 nuclei.
With the exception of the possible CCA cryptographic attack described in the limitations section below, the attacker can only know the fact that a connection is taking place between the two parties, already known to him, the domain name and IP addresses.
Because the existence of these points of space as such, that is, as truly indivisible unities, has its basis in the fact that the points are one with the bodies that fill them ; because, therefore, all possible space is coincident with the physical world ( as in Wycliffe's system, in general, reality and possibility correspond ), there can as little be a vacuum as bounding surfaces that are common to different bodies.
In addition, the fact that Ribbentrop chose to spend as little time as possible in London in order to stay close to Hitler irritated the British Foreign Office immensely, as Ribbentrop's frequent absences prevented the handling of many routine diplomatic matters.
In fact, if we consider files of length N, if all files were equally probable, then for any lossless compression that reduces the size of some file, the expected length of a compressed file ( averaged over all possible files of length N ) must necessarily be greater than N. So if we know nothing about the properties of the data we are compressing, we might as well not compress it at all.
However, the difference from the electromagnetic aether of Maxwell and Lorentz lies in the fact, that " because it was no longer possible to speak, in any absolute sense, of simultaneous states at different locations in the aether, the aether became, as it were, four dimensional, since there was no objective way of ordering its states by time alone .".
Tacitus refers to him as " Cilnius Maecenas "; it is possible that " Cilnius " was his mother's nomen-or that Maecenas was in fact a cognomen.
The geography of southern Mesopotamia is such that agriculture is possible only with irrigation and good drainage, a fact which has had a profound effect on the evolution of early Mesopotamian civilization.
) The game is in some ways modeled on modern government systems, and demonstrates that in any such system where rule-changes are possible, a situation may arise in which the resulting laws are contradictory or insufficient to determine what is in fact legal.

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