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Page "Dedekind domain" ¶ 13
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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 definition
Professor McNeill thinks that at Yalta, Stalin did not fully realize the dilemma which faced him, that he thought the exclusion of the anti-Soviet voters from East European elections would not be greatly resented by his allies, while neither Roosevelt nor Churchill frankly faced `` the fact that, in Poland at least, genuinely free democratic elections would return governments unfriendly to Russia '', by any definition of international friendliness.
The appellate court will typically be deferential to the lower court's findings of fact ( such as whether a defendant committed a particular act ), unless clearly erroneous, and so will focus on the court's application of the law to those facts ( such as whether the act found by the court to have occurred fits a legal definition at issue ).
In fact anode polarity depends on the device type, and sometimes even in which mode it operates, as per the above electric current direction-based universal definition.
Unfortunately in the literature the definition is given in two variants: Despite the fact that Bernoulli defined B < sub > 1 </ sub > = 1 / 2 ( now known as " second Bernoulli numbers "), some authors set B < sub > 1 </ sub > = − 1 / 2 (" first Bernoulli numbers ").
The definition is further complicated by the fact that Irish independence has allowed Ireland to promote ' Celtic ' music as a specifically Irish product.
Noting another proof that self-replicating machines are possible is the simple fact that all living organisms are self replicating by definition.
This definition of cofinality relies on the axiom of choice, as it uses the fact that every non-empty set of cardinal numbers has a least member.
The entries can be numbers or expressions ( as happens when the determinant is used to define a characteristic polynomial ); the definition of the determinant depends only on the fact that they can be added and multiplied together in a commutative manner.
and in fact this can be used as the definition for the complex logarithm.
a fact that cannot be seen directly from the definition of elementary function but can be proven using the Risch algorithm.
The term faunal stage is sometimes used, referring to the fact that the same fauna ( animals ) are found throughout the layer ( by definition ).
In fact, the definition of a square may be recast in terms of both of the abstractions, where one acts as the genus and the other acts as the differentia:
The ( unique ) representable functor F: → is the Cayley representation of G. In fact, this functor is isomorphic to and so sends to the set which is by definition the " set " G and the morphism g of ( i. e. the element g of G ) to the permutation F < sub > g </ sub > of the set G. We deduce from the Yoneda embedding that the group G is isomorphic to the group
In fact, a successful definition of the hawala system that is used is ‘ money transfer without money movement ’.
The military connotation in Bauer's definition stems from the fact that ancient Greek armies in the time of total war mobilized all male citizens ( to the age of 50 ) to fight, and many of these citizens tended to fight poorly and ignorantly.
This time, Bobby had enough and left after telling his father that he should just accept the fact that he is a mutant and he would never fit the definition he has of normal.
This definition stresses the fact that human languages can be described as closed structural systems consisting of rules that relate particular signs to particular meanings.
This definition stresses the social functions of language and the fact that humans use it to express themselves and to manipulate objects in their environment.
According to this definition noble gas atoms are considered molecules despite the fact that they are composed of a single non-bonded atom.
From these three assumptions, neoclassical economists have built a structure to understand the allocation of scarce resources among alternative ends — in fact understanding such allocation is often considered the definition of economics to neoclassical theorists.
The latter definition comes from the fact that the path to water is the whole way of life in an arid desert environment.
They state that lack of definition of obscenity in the statutes, coupled with the existence of hypothetical entities and standards as ultimate arbiters within the Miller Test ( hypothetical " reasonable persons " and " contemporary community standards ") proves that federal obscenity laws are in fact not defined, do not satisfy the vagueness doctrine, and thus are unenforceable and legally dubious.
Although he nowhere defines truth in terms of a thought's likeness to a thing or fact, it is clear that such a definition would fit well into his overall philosophy of mind.
In each definition, the existence of the morphism g intuitively expresses the fact that ( A, φ ) is " general enough ", while the uniqueness of the morphism ensures that ( A, φ ) is " not too general ".
In spite of the fact that the decreed definition of the gram specified water at 0 ° C — a highly reproducible temperature — the scientists chose to redefine the standard and to perform their measurements at the temperature of highest water density, which was measured at the time as.

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