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This is not the most general situation of a Cartesian product of a family of sets, where a same set can occur more than once as a factor ; however, one can focus on elements of such a product that select the same element every time a given set appears as factor, and such elements correspond to an element of the Cartesian product of all distinct sets in the family.
Some Related Sentences
is and most
I want the room in the attic prepared for him He is a most unusual lad, quite precocious in many ways.
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.
but for this discussion the most important division is between those who have been reconstructed and those who haven't.
But apart from racial problems, the old unreconstructed South -- to use the moderate words favored by Mr. Thomas Griffith -- finds itself unsympathetic to most of what is different about the civilization of the North.
The general acceptance of the idea of governmental ( i.e., societal ) responsibility for the economic well-being of the American people is surely one of the two most significant watersheds in American constitutional history.
Accidental war is so sensitive a subject that most of the people who could become directly involved in one are told just enough so they can perform their portions of incredibly complex tasks.
Even though in most cases the completion of the definitive editions of their writings is still years off, enough documentation has already been assembled to warrant drawing a new composite profile of the leadership which performed the heroic dual feats of winning American independence and founding a new nation.
It is clear that, while most writers enjoy picturing the Negro as a woolly-headed, humble old agrarian who mutters `` yassuhs '' and `` sho' nufs '' with blissful deference to his white employer ( or, in Old South terms, `` massuh '' ), this stereotype is doomed to become in reality as obsolete as Caldwell's Lester.
Presenting an individualized Negro character, it would seem, is one of the most difficult assignments a Southern writer could tackle ; ;
All but the most rabid of Confederate flag wavers admit that the Old Southern tradition is defunct in actuality and sigh that its passing was accompanied by the disappearance of many genteel and aristocratic traditions of the reputedly languid ante-bellum way of life.
Yet often fear persists because, even with the most rigid ritual, one is never quite free from the uneasy feeling that one might make some mistake or that in every previous execution one had been unaware of the really decisive act.
Perhaps the most illuminating example of the reduction of fear through understanding is derived from our increased knowledge of the nature of disease.
The consciousness it mirrors may have come earlier to Europe than to America, but it is the consciousness that most `` mature '' societies arrive at when their successes in technological and economic systematization propel them into a time of examining the not-strictly-practical ends of culture.
And the life they lead is undisciplined and for the most part unproductive, even though they make a fetish of devoting themselves to some creative pursuit -- writing, painting, music.
The music which Lautner has composed for this episode is for the most part `` rather pretty and perfectly banal ''.
Presupposed in Plato's system is a doctrine of levels of insight, in which a certain kind of detached understanding is alone capable of penetrating to the most sublime wisdom.
As long as perception is seen as composed only of isolated sense data, most of the quality and interconnectedness of existence loses its objectivity, becomes an invention of consciousness, and the result is a philosophical scepticism.
And it is precisely in this poorer economic class that one finds, and has always found, the most racial friction.
We assume for this illustration that the size of the land plots is so great that the distance between dwellings is greater than the voice can carry and that most of the communication is between nearest neighbors only, as shown in Figure 2.
is and general
Yet his concern even here is with a slowly changing socio-economic order in general, and he never deals with such specific aspects of this change as the urban and industrial impact.
It is different with his volume The Swedes And Their Chieftains ( Svenskarna och deras Hovdingar ), a history intended for the general reader and particularly suited for high school students.
Even the officer in charge, be it a captain ( for small display ) or a general, is restrained by monitoring.
And it is clearly argued by Lord Percy of Newcastle, in his remarkable long essay, The Heresy Of Democracy, and in a more general way by Voegelin, in his New Science Of Politics, that this same Rousseauan idea, descending through European democracy, is the source of Marx's theory of the dictatorship of the proletariat.
However, it was not of innocence in general that I was speaking, but of perhaps the frailest and surely the least important side of it which is innocence in romantic love.
It is my studied conviction that no nation will ever risk general war against us unless we should become so foolish as to neglect the defense forces we now so powerfully support.
Steele's purpose is to present a general defense of his political writing and a resume of the themes which had occupied him in the Englishman ; ;
Its truth is illustrated by the skill, sensitivity, and general expertise of the English professor with whom one attends the theatre.
One might argue that the ultimate purpose of literary scholarship is to correct this spontaneous provincialism that is likely to obscure the horizons of the general public, of the newspaper critic, and of the creative artist himself.
An idea, of the sort that we have in mind, although of necessity readily available to imagination, is more general in connotation than most poetic or literary images, especially those appearing in lyric poems that seek to capture a moment of personal experience.
Such a list must naturally be selective, and the treatment of each man is brief, for I am interested only in their general ideas on the moral measure of literature.
He assures us, early in the Poetics, that all art is `` imitation '' and that all imitation gives pleasure, but he distinguishes between art in general and poetic art on the basis of the means, manner, and the objects of the imitation.
There is a clear relationship between their educational evaluations and their basic pattern of general values.
One reason is, of course, that the new scepticism has been willing to maintain the general picture of the invasions as portrayed in the traditional sources.
One is impressed with the dignity, clarity and beauty of this new translation into contemporary English, and there is no doubt that the meaning of the Bible is more easily understandable to the general reader in contemporary language in the frequently archaic words and phrases of the King James.
Prof. C. H. Dodd, 76, a Congregational minister and a leading authority on the New Testament, is general director of the project and chairman of the New Testament panel.
According to Friends, the unit was organized by John Snook, a former World War 2, commando who is vice president and general manager of the telephone company.
is and situation
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.
The dramatic construction of his stories characteristically turns on a situation in which someone is simultaneously compelled and forbidden to love.
Yet the attitude that the fate of the Presidency demands in such a situation is quite distinct from the simple courage that can proceed with battles to be fought, regardless of the consequences.
At that point we reach the `` closed '' historical situation: the situation in which man is no longer free to return to a status quo ante.
If the existent form is to be retained new factors that reinforce it must be introduced into the situation.
The interesting thing about Mr. Lyford's approach, and the approach of the contributors to The Agreeable Autocracies ( Oceana Publications, 1961 ) to the situation of American civilization, is that it is concerned with comprehending the psychological relationships which are having a decisive effect on American life.
But when the situation was so complicated that even Nogaret, one of the principal actors in the drama, could misinterpret the pope's motives, it is possible that Othon and his companions, equally baffled, attributed their difficulties to a more immediate cause.
Now the basic question to be asked in this situation is what motivates the manipulators, that is, what are their values??
For Mr. Kennedy, speaking softly and carrying a sizable stick is making the best of a bad situation.
Although the United States and the U.S.S.R. have been arguing whether there shall be four, five or six top assistants, the most important element in the situation is not the number of deputies but the manner in which these deputies are to do their work.
I concur that it is necessary for Americans to have a confrontation of the situation existing in foreign lands.
It is difficult to tabulate exactly what was meant in each individual situation, but the conclusion may be drawn that 21 towns do not assess movable personal property, and of the remainder only certain types are valued for tax purposes.