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We now generalize these ideas for general binomial experiments.
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We and now
`` We have now a national character to establish '', Washington wrote in 1783.
We now practically read it, all men are created equal except Negroes.
We get some clue from a few remembrances of childhood and from the circumstance that we are probably not much more afraid of people now than man ever was.
We are not now afraid of atomic bombs in the same way that people once feared comets.
We have now a quiet city, fewer automobiles, less congestion, and fewer retail customers shopping in center city.
We now have to think not only of our national security but also of the future generations who will suffer from any tests we might undertake.
We know now that a 15-degree differential in temperature is the maximum usually desirable, and accurate controls assure the comfort we want.
We now have not only what has been called over here the comedy of menace but we also have horror jokes, magazines known as Horror Comics, and sick comedians.
We now write Af where Af are distinct complex numbers.
We now have certain squares with three corners on C.
We consider now the graph of the function f{t} on Af.
We can now prove several lemmas.
We turn now to the set of tangent points on the graph.
We must now show that on some component of the graph there exist two points for which the corresponding diagonal points in the C-plane are on opposite sides of C.
We now shall show that any involution with these characteristics is necessarily of the type we have just described.
We now observe that the case in which **zg is a Af curve on a quadric is impossible if the complex of singular lines consists exclusively of the lines which meet Aj.
We now know that things rarely ever work out in such cut-and-dried fashion, and that car loadings, while perhaps interesting enough, are nevertheless not the magic formula that will always turn before stock prices turn.
We turn now to a type of fully distributed cost analysis which, unlike the `` railroad type '', draws no distinction between cost allocation and cost apportionment: the single-step type.
We cannot now speak of maximizing the value of the objective function, since this function is now known only in a probabilistic sense.
We have learned from earthquakes much of what we now know about the earth's interior, for they send waves through the earth which emerge with information about the materials through which they have traveled.
We may now take up for consideration a hard case which seems to require either no action employing economic pressure or else action that would seem to violate the principles set forth above.
`` We have better rooms vacant now '', he babbled.
`` We are now witnessing an effort to transfer to Mr. Mitchell some of the glow of Sen. Case's candidacy of last year.
We and generalize
Representable functors: We can generalize the previous example to any category C. To every pair X, Y of objects in C one can assign the set Hom ( X, Y ) of morphisms from X to Y.
We can easily generalize this proof to the case of quantum mechanical models.
We generalize the notion of a " local section " using sheaves of Abelian groups, which assigns to each object an Abelian group ( analogous to local sections ).
We may generalize from this.
We may generalize and say that all people use metatheories as orienting strategies and that this is what direct our attention and also our browsing-also when we are not conscious about it.
We may generalize immediately to any number of relatively prime factors, producing
We performed several awareness camps and presenting the several papers in National Level Seminars to generalize these use-full solar energy systems, which is greatly echo-friendly, free-environment, fully safe to human beings.
We wish to generalize this to the case that φ is a smooth function between any smooth manifolds M and N.
We can also recognize the purpose that this thermometer serves inside a thermostat and even generalize to other kinds of thermostats that might use a different sort of thermometer.
We can generalize this to the complement of a complexity class, called the complement class, which is the set of complements of every problem in the class.
* We can then generalize to intervals of type since the number of poles of r is a finite number ( by taking the limit of the Cauchy index over for a and b going to infinity ).
We can generalize this construction further by replacing C
We and these
We have staved off a war and, since our behavior has involved all these elements, we can only keep adding to our ritual without daring to abandon any part of it, since we have not the slightest notion which parts are effective.
We shall return to these statements and deal with them more fully as the evidence for them accumulates.
We feel the quality of these powers initially as in some degree wholesome or threatening.
We feel uncomfortable at being bossed by a corporation or a union or a television set, but until we have some knowledge about these phenomena and what they are doing to us, we can hardly learn to control them.
We are learning how to do these things in some of the vast organized structures of modern society ; ;
We have far less to fear in the migrant family than we have in the migrant developer under these conditions.
We feel that The Detroit News is to be complimented upon arranging for articles on these subjects and we hope that it will continue to provide material along wholesome lines.
We should avoid these congestion points or, putting it another way, keep cars starting and ending on the East side of the river -- on the East side.
We are not given to lamentations, neither personally nor in these Reports.
We believe that these improved facilities will contribute income and effect savings which will fully justify the investment.
We have developed an ingenious method of interlocking these so that you can make the major part of your house in your own workshop, panel by panel, according to plan.
We may then dismiss the time difference between these courses and the usual four year course of the interior design student as not having serious bearing on the subject.
We have these positions, which compare directly: Af
We are reporting these investigations here briefly because of their relevancy to problems of the study of apparently simple exchange reactions of chlorine and because the results furnish some information on the activation energy for abstraction of chlorine atoms from carbon tetrachloride.
We stressed the reciprocal relation of these systems with respect to the autonomic-somatic downward discharge as well as regarding the hypothalamic-cortical discharge.
We define these values as Af, and define g{t} in the same way for each T.
We shall consider these in the inverse order of their presentation.
We shall not be able entirely to pass over these connections to the East as we consider Ripe Geometric pottery, the epic and the myth, and the religious evolution of early Greece ; ;
`` We must solve the problems which have forced these people to depend upon ADC for subsistence '', Martin said.
We are evidently trying hard to think of new ways to deal with the problem of fear these days.
We have already seen that odd numbers were considered as being Yang, while the even numbers were Yin, so that the eight outer numbers of the Lo Shu represented these two principles in balanced equilibrium around the axial center.
: We bring these amaranths, these white lilies,
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