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We have to obtain a suitable tensor to describe the geometry of space in the presence of an energy field.
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We and have
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 are forced, in our behavior towards others, to adopt empirically successful patterns in toto because we have such a minimal understanding of their essential elements.
A Yale historian, writing a few years ago in The Yale Review, said: `` We in New England have long since segregated our children ''.
We hear equally fervent concern over the belief that we have not enough generalists who can see the over-all picture and combine our national skills and knowledge for useful purposes.
We have proved so able to solve technological problems that to contend we cannot realize a universal goal in the immediate future is to be extremely shortsighted, if nothing else.
We have so completely entered the child's fantasy that his illness and his death are the plausible and the necessary conclusion.
We experience a vague uneasiness about events, a suspicion that our political and economic institutions, like the genie in the bottle, have escaped confinement and that we have lost the power to recall them.
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 may also recognize cases in which the poets have influenced the philosophers and even indirectly the scientists.
We must, therefore, have a look at the new archaeological material and re-examine the literary and place-name evidence which bears upon the problem.
`` We have just returned from Roswell, N.M., where we were defeated, 34 to 9 '', the young man noted.
We in East Greenwich have the example of two neighboring communities, one currently utilizing double sessions in their schools, and the other facing this prospect next year.
We have far less to fear in the migrant family than we have in the migrant developer under these conditions.
We and obtain
We will call the first the furnace and the second the refrigerator .” Carnot then explains how we can obtain motive power, i. e. “ work ”, by carrying a certain quantity of heat from body A to body B.
We thus obtain the inequality in terms of dimensions of kernel, which can then be converted to the inequality in terms of ranks by the rank-nullity theorem.
We obtain the same variation in probability amplitudes by allowing the time at which the photon left the source to be indeterminate, and the time of the path now tells us when the photon would have left the source, and thus what the angle of its " arrow " would be.
There is a special case of Lagrange inversion theorem that is used in combinatorics and applies when and Take to obtain We have
We are deprived of a leader than whom the whole world would scarcely obtain a greater, whether in knowledge of true religion or in integrity and innocence of life, or in thirst for study of the most holy things, or in exhausting labour in advancing piety, or in authority and fulness of teaching, or in anything that is praiseworthy and renowned.
We obtain a Kleene algebra A with 0 being the empty set and 1 being the set that only contains the empty string.
We start with the standard assumption of independence of the two sides, enabling us to obtain the joint probabilities of pairs of outcomes by multiplying the separate probabilities, for any selected value of the " hidden variable " λ. λ is assumed to be drawn from a fixed distribution of possible states of the source, the probability of the source being in the state λ for any particular trial being given by the density function ρ ( λ ), the integral of which over the complete hidden variable space is 1.
We now use the Pythagorean theorem, the fact that the slope of the curve is equal to the tangent of its angle, and some trigonometric identities to obtain ds in terms of dx:
We perform our ' simran ' or meditation by Guru's Grace only and open tenth door of our body to obtain " band-khallaassi " or the ' moksha ' ( liberation from bondage of birth and death and attain ultimate oneness with the Lord.
We can " cut " the plane along the real axis, from − 1 to 1, and obtain a sheet on which g ( z ) is a single-valued function.
We can obtain a formula for r by substituting estimates of the covariances and variances based on a sample into the formula above.
We then obtain an equation of polynomials whose left-hand side is simply p ( x ) and whose right-hand side has coefficients which are linear expressions of the constants A < sub > ir </ sub >, B < sub > ir </ sub >, and C < sub > ir </ sub >.
: We had to create our own journals because it was impossible to obtain entry into the official journals of psychiatry and medicine.
If T is a statistic that is approximately normally distributed under the null hypothesis, the next step in performing a Z-test is to estimate the expected value θ of T under the null hypothesis, and then obtain an estimate s of the standard deviation of T. We then calculate the standard score Z = ( T − θ ) / s, from which one-tailed and two-tailed p-values can be calculated as Φ (−| Z |) and 2Φ (−| Z |), respectively, where Φ is the standard normal cumulative distribution function.
We can therefore derive a semi-discrete numerical scheme for the above problem with cell centres indexed as, and with cell edge fluxes indexed as, by differentiating ( 6 ) with respect to time to obtain:
0.497 seconds.