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Page "Conditional expectation" ¶ 35
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We and consider
We consider a rural community as an assemblage of inhabited dwellings whose configuration is determined by the location and size of the arable land sites necessary for family subsistence.
We consider now the graph of the function f{t} on Af.
We again consider a fixed point P at Af and a variable point Q at Af on C.
We consider here only a few of many problems involved in this crucial federal-state relationship.
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 cannot consider ourselves educated if we do not read ; ;
We now consider how the choice of description language affects the value of K, and show that the effect of changing the description language is bounded.
Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.
We consider two different experiments:
We consider the origin of the traditions to be Nordic, and even more to be polar, since this is expressly affirmed in the Veda as well as in other sacred books .”
Here, we are told, ' We need to go beyond the pleasure principle, the reality principle, and repetition compulsion to ... the fantasy principle ' - ' not, as Freud did, reduce fantasies to wishes ... consider all other imaginable emotions '; and thus envisage emotional fantasies as a possible means of moving beyond stereotypes to more nuanced forms of personal and social relating.
We will consider to be an inherent fixed property of our communications channel ( representing the nature of the noise of our channel ).
We will now consider the purportedly “ positive argument ” for design encompassed in the phrase used numerous times by Professors Behe and Minnich throughout their expert testimony, which is the “ purposeful arrangement of parts .” Professor Behe summarized the argument as follows: We infer design when we see parts that appear to be arranged for a purpose.
* We believe that the decision as to whether to be open about one's sexual orientation should be left to such individuals, who should consider their own needs and those of the community.
Alex Gilady, an Israeli IOC official, told the BBC: " We must consider what this could do to other members of the delegations that are hostile to Israel.
We consider P, or the negation of P, in addition to S ; if this leads to a logical contradiction F, then we can conclude that the statements in S lead to the negation of P, or P itself, respectively.
* Fluid and solid character are relevant at long times :</ br > We consider the application of a constant stress ( a so-called creep experiment ):
* By contrast, elastic and viscous ( or intermediate, viscoelastic ) behaviour is relevant at short times ( transient behaviour ):</ br > We again consider the application of a constant stress:
John Stuart Mill's distinction between higher and lower pleasures might suggest that he gave more status to humans but in The Methods of Ethics Sidgwick says " We have next to consider who the " all " are, whose happiness is to be taken into account.
Ptolemy ( c. AD 90 – c. AD 168 ) stated " We consider it a good principle to explain the phenomena by the simplest hypothesis possible ",.
We will consider different values of.
We consider it almost obvious today.
Instead it was claimed Raeder was opposed to war with the United States and had always worked to protect neurtal shipping during the war with the committee having Raeder say: " We had to consider neutrals to avoid any possible unfortunate incidents " at sea.

We and measure
We should not allow the image of an immanent end brought about indirectly by our own action in the continuing human struggle for a just endurable order of existence to blind us to the fact that in some measure accelerating the end of our lease may be one consequence among others of many other of mankind's thrusts toward we know not what future.
We never become Christ, but we are called upon to become fully Christly or Christ-like, to emulate our Master's great words and works in some measure.
We should continue to give our love and by that retain a measure of influence in their lives, Jewishly and otherwise.
We measure the rate at which frames are displayed in frames per second ( FPS ).
We then measure the particle states.
We now wish to construct some two-dimensional Lebesgue measure λ < sup > 2 </ sup > on the plane R < sup > 2 </ sup > as a product measure.
( We could have equivalently chosen to measure probabilities from one to infinity, with infinity representing certain falsehood.
Dr Al Jowder explained that the municipalities would enforce the measure by using their control over the electricity supply: " We can't stop someone from building if they do not promise to install one-way windows.
We have with the utmost deliberation, examined the matter, with an anxiety to duly discharge the duty which we owe on all hands — the duty which we owe the prisoner of not meting out punishment beyond the just measure of the offence, and the duty we owe to the public that the degree of punishment will be such as to carry out the object of all punishment, which is not the mere infliction of the penalty upon the person convicted, but the prevention of crime — that that punishment should carry with it a security to the country, as far as possible, that one who has offended so perseveringly — that so deliberate a violator of the law shall not be permitted to continue his course of conduct to the disturbance of its peace and prosperity.
We must measure the inertia with respect to something else.
After pondering deeply the general trends of the world and the actual conditions obtaining in Our Empire today, We have decided to effect a settlement of the present situation by resorting to an extraordinary measure.
We thus see that, not only directly but also through the replies that it called forth, the system of Hutcheson, or at least the system of Hutcheson combined with that of Shaftesbury, contributed, in large measure, to the formation and development of some of the most important of the modern schools of ethics.
Said Russell: " We will resist to the bitter end any measure or any movement which would have a tendency to bring about social equality and intermingling and amalgamation of the races in our ( Southern ) states.
We separate the case in which the measure space is a probability space from the more general case because the probability case is more accessible for the general reader.
We then measure the two waves at some other, nearby point, in order to determine their wavelengths.
They typically explain their actions by stating: " We measure identifiable wealth, whether land, property, racehorses, art or significant shares in publicly quoted companies.
We can define and measure it.
We cannot trace these small improvements correctly with the relative measure ( output / input ) but we have to use the absolute measure real income and its derivatives.
We need to understand the phenomenon, the measure and the possible difference between them.
We can either measure the current ( rate of flow of electrons is now proportional to the analyte concentration ) at a fixed potential or the potential can be measured at zero current ( this gives a logarithmic response ).
We let m be a measure on the σ-algebra of Borel sets of a Hausdorff topological space X.
::: We respectfully request the favor of a measure of your cooperation.

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