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Page "Double bind" ¶ 48
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is and divides
Thus Af is divisible by the minimal polynomial P of T, i.e., Af divides Af.
It is easily seen that Af divides G.
This question is an issue because it likely divides us into two camps -- those for or against pupil assignment.
This is an issue, for it divides people rather sharply.
Recently, Corey Anton has argued that we cannot be certain what is separate from or unified with something else: language, he asserts, divides what is not in fact separate.
Another view defines anxiety as " a future-oriented mood state in which one is ready or prepared to attempt to cope with upcoming negative events ," suggesting that it is a distinction between future and present dangers which divides anxiety and fear.
Aachen is at the western end of the Benrath line that divides High German to the south from the rest of the West Germanic speech area to the north.
Two whole numbers m and n are called coprime if their greatest common divisor is 1 ; i. e., if there is no prime number that divides both of them.
Being is quite conceivable apart from actual existence ; so much so that the very first and the most universal of all the distinctions in the realm of being is that which divides it into two classes, that of the real and that of the possible.
An example is the " divides " relation between the set of prime numbers P and the set of integers Z, in which every prime p is associated with every integer z that is a multiple of p ( and not with any integer that is not a multiple of p ).
Binary relations are used in many branches of mathematics to model concepts like " is greater than ", " is equal to ", and " divides " in arithmetic, " is congruent to " in geometry, " is adjacent to " in graph theory, " is orthogonal to " in linear algebra and many more.
In this case, the blot has been hit, and is placed in the middle of the board on the bar that divides the two sides of the playing surface.
Now the remainder of dividing either a or b by d is also of the form ax + by since it is obtained by subtracting a multiple of from a or b, and on the other hand it has to be strictly smaller in absolute value than d. This leaves 0 as only possibility for such a remainder, so d divides a and b exactly.

is and reality
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.
The `` reality '' to which they respond is rationally empty and their art is an imitation of the inescapable powerfulness of this unknown and empty world.
All such imitations of negative quality have given rise to a compensatory response in the form of a heroic and highly individualistic humanism: if man can neither know nor love reality as it is, he can at least invent an artistic `` reality '' which is its own world and which can speak to man of purely personal and subjective qualities capable of being known and worthy of being loved.
For Plato, `` imitation '' is twice removed from reality, being a poor copy of physical appearance, which in itself is a poor copy of ideal essence.
For both Plato and Aristotle artistic mimesis, in contrast to the power of dialectic, is relatively incapable of expressing the character of fundamental reality.
He is the conveyor of a sacred reality by which he has been grasped.
The corporation in America is in reality our form of socialism, vying in a sense with the other socialistic form that has emerged within governmental bureaucracy.
Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.
The reality of the situation, however, is described by Mr. Lyford: ``
Undoubtedly one merit of the vast panorama of Gentile conceptions of the Jew unfolded in the present anthology is that it provides a formidable body of material that invites critical examination in terms of reality.
An advantage of being exposed to such specificity about an important and recurring feature of social reality is that it can be taken advantage of by the reader to examine covert as well as overt resonances within himself, resonances triggered by explicit symbols clustering around the central figure of the Jew.
If art is to release us from these postulated things ( things we must think symbolically about ) and bring us back to the ineffable beauty and richness of the aesthetic component of reality in its immediacy, it must sever its connection with these common sense entities ''.
To most observers, there is little doubt that he placed an artificial strait jacket of unity upon the years of Anne's reign which in reality existed only in the pages of his history.
He tends to underestimate -- or perhaps to view charitably -- the brutality and the violence of the age, so that there is an idyllic quality in these pages which hazes over some of its sharp reality.
True reality, of course, is the ideal, and the poet knows nothing of this ; ;
For there is also the `` face of reality '' in the form of the individual's perceptions of his own abilities and interests, of the objective possibilities open to him, of the familial and other social pressures to which he is exposed.
It is difficult to draw the line between stereotype and the reality of the jazz musician.
What I do is to try to bring him into contact with reality as much as possible.

is and such
In spots such as the elbows and knees the second skin is worn off and I realized the aborigines were much darker than they appeared ; ;
It is said that, even at the present stage of Southern urbanization, such a city as Atlanta is not distinctly unlike Columbus or Trenton.
Has the agrarian tradition become such an addiction that the switch to urbanism is somehow dreaded or unwanted??
and the success of such an endeavor is, as suggested above, glaringly rare.
Obviously, such a Northern tourist's purpose is somewhat akin to a child's experience with Disneyland: he wants to see a world of make-believe.
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.
For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.
We are desperately in the need of such invention, for man is still very much at the mercy of man.
I knew that a conversation with the author would not settle such questions, because a man is not the same as his writing: in the last analysis, the questions had to be settled by the work itself.
It only means that there will be new form, and that this form will be of such a type that it admits the chaos and does not try to say that the chaos is really something else.
Within this notion clarity is possible, but for us who are neither Greek nor Jansenist there is not such clarity.
Whitehead contends that the human way of understanding existence as a unity of interlocking and interdependent processes which constitute each other and which cause each other to be and not to be is possible only because the basic form of such an understanding, for all its vagueness and tendency to mistake the detail, is initially given in the way man feels the world.
After how many generations is such wealth ( mounting all the while through the manipulations of high finance ) purified of taint??
It consists of fragmentary personal revelations, such as `` The Spark '': `` There is a spark dwells deep within my soul.
Since the hazards of poor communication are so great, p can be justified as a habitable site only on the basis of unusual productivity such as is made available by a waterfall for milling purposes, a mine, or a sugar maple camp.
Noting such evidence is the first step ; ;
There is no justification for such misrepresentation.
But what a super-Herculean task it is to winnow anything of value from the mud-beplastered arguments used so freely, particularly since such common use is made of cliches and stereotypes, in themselves declarations of intellectual bankruptcy.
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.

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