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Page "Multipole expansion" ¶ 30
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We and assume
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.
( We abstract here from technological progress and assume that prices of all other products change proportionately.
We assume that average total unit cost in the relevant region of operation is constant with respect to quantity produced ( the average cost curve is horizontal, and therefore is identical with the marginal cost curve ), and is the same for every firm ( and therefore for the industry ).
We assume further that the union recognizes the possibility that price-level increases may offset wage-rate increases, and it does not entirely disregard the effect of price increases arising from its own wage increases upon the `` real '' wage rate.
We assume that the $ 150, 000 is John's best estimate of the sale price that he will be able to achieve in 3 years time ( after deducting all expenses, of course ).
If this letter were to Ephesus, one would expect it to have more of the warmth evidenced in Philippians ... We may safely assume the letter was a general letter to Gentile believers in southwestern Asia Minor and that it became identified with Ephesus as the most important city between Rome and Antioch.
We first assume the following axiom:
We then assume that the following three conditions hold for all positive properties ( which can be summarized by saying " the positive properties form a principal ultrafilter "):
where ω is implicitly a function of k. We assume that the wave packet α is almost monochromatic, so that A ( k ) is nonzero only in the vicinity of a central wavenumber k < sub > 0 </ sub >.
* Binyan av, either by one or two Scriptures: We find a similar law in another case, why shouldn't we assume that the same law applies here?
We assume that for each k, the event A < sub > k </ sub > is similar to A < sub > k + 1 </ sub >, so that A < sub > k </ sub > has the same evaluation as A < sub > k + 1 </ sub >.
We can indeed enumerate algorithms to construct a function T, about which we initially assume that it is a function from the natural numbers onto the reals.
We will assume that Alice and Bob share the entangled state
We can assume without loss of generality that and are pure ensembles.
We assume that A is an m-by-n matrix over either the real numbers or the complex numbers, and we define the linear map f by f ( x ) = Ax as above.
We can assume without loss of generality that the support of each X < sub > i </ sub > is
We don't assume that the simpler theory is correct and the more complex one false.
We assume a “ linear ” device having a transfer function whose small signal form may be expressed in terms of a power series containing only odd terms, making the transfer function an odd function of input signal voltage, i. e., O = − O.
We assume that the type,, has been fixed.
We may assume there is no reason to believe Fred treats one bowl differently from another, likewise for the cookies.
We assume a plane wave:.
60, p. 44 ) states: " We assume that the old doctrine that a husband had the right to whip his wife, provided that he used a switch no larger than his thumb, is not the law in North Carolina.
We assume that the molecule is in a homogeneous
We will assume that the parametric dependence is continuous and differentiable, so that it is meaningful to consider
In Emperor Theodosius's edict De fide catholica of 27 February 380, enacted in Thessalonica and published in Constantinople for the whole empire, by which he established Catholic Christianity as the official religion of the empire, he referred to Damasus as a pontifex, while calling Peter an episcopus: "... the profession of that religion which was delivered to the Romans by the divine Apostle Peter, as it has been preserved by faithful tradition and which is now professed by the Pontiff Damasus and by Peter, Bishop of Alexandria ... We authorize the followers of this law to assume the title Catholic Christians ..." Some see in this an implied significant differentiation, but the title pontifex maximus is not used in the text ; pontifex is used instead: "... quamque pontificem damasum sequi claret et petrum alexandriae episcopum ..." ( Theodosian Code XVI. 1. 2 ; and Sozomen, " Ecclesiastical History ", VII, iv.

We and charges
We did not have large freight charges to pass on to the customer.
All three of his lawyers declined to be in court to hear the reading of the formal charges because " We fear that the haste which has been employed to open the hearings is inspired, not by judicial preoccupations, but motivated by political considerations.
We hear of him again in the reign of Vespasian ( c. 70 AD ), when, curiously, he defended Publius Egnatius Celer against the charges brought against him by Musonius Rufus.
We should add that this decision rests upon the operation and effect of the statute, without regard to the question of the truth of the charges contained in the particular periodical.
However, Spender refused to press charges, saying, " He is a great poet … We must try to understand.
We ask you to please keep this investigation strictly confidential because of the nature of the charges and the highly emotional effect it could have on our community.
< p >" We went into court, and the DA office indicated that all charges be dismissed based on their investigation ," Al Ebanks ( Alston's Lawyer ) said.
The authors concluded, " We have endeavored in every way to secure any evidence which would tend to substantiate or justify these charges ... no evidence has been produced before us which substantiates or justifies them ...
" We believe Cowdrey's style of leadership is what is now required ", claimed England's chairman of selectors Peter May, who was also Cowdrey's godfather, amid charges of favouritism.
On June 22, 1917, police arrested protesters Lucy Burns and Katherine Morey on charges of obstructing traffic because they carried a banner quoting from Wilson's speech to Congress: " We shall fight for the things which we have always carried nearest our hearts -- for democracy, for the right of those who submit to authority to have a voice in their own governments.
In the FBI report, Attorney Mark Bartlett said, " We did not find facts that would justify initiating federal criminal charges.
We consider a molecule consisting of N particles ( electrons and nuclei ) with charges eZ < sub > i </ sub >.
" We wish you to procure from the gov ' of Cuba a grant exclusive in which we offer you either to take a conces ' of half or procure the privilege for us & we engage to pay you one thousand dollars with reasonable charges, in obtaining it you however to determine which you will do & write to that effect as early as possible.

We and be
`` We aim t' be see-lective, y'know??
We spoke of the need for advertising, and I agreed that the deep dive would be most useful for publicity.
We, in our country, think of war as an external threat which, if it occurs, will not be primarily of our own doing.
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 must not forget, to be sure, that free discussion and debate have produced beneficial results.
We would be ignoring the special circumstances of other countries.
We face, indeed, what may be a turning point in history, and we must act decisively and wisely.
We must be ever alert that freedom does not wither through the careless amassing of restrictive controls or the lack of courage to deal boldly with the issues of the day.
`` We were requested by the Secretary General, as I understand it, to discuss with you such matters as appear to us to be relevant, and we are not of course either a formal group or a committee in the sense of being guided by any rules or regulations of the Secretariat.
We need not, to be sure, expect to find such ideas in every piece of literature.
We must avoid the notion, suggested to some people by examples such as those just mentioned, that ideas are `` units '' in some way comparable to coins or counters that can be passed intact from one group of people to another or even, for that matter, from one individual to another.
We can be virtuous only if we control our lower natures, the passions in this case, and strengthen our rational side ; ;
We lived for a while in a movie melodrama with a German cook and her son who turned out to be Nazis.
We must, first of all, be willing to forgive others before we can secure God's forgiveness.
We want the past forgiven, but at the same time we must be willing for God to direct the future.
We expect him to be noble, and to make us so -- yet he knows, and tries to tell us, how very humble man must be.
We have no right to criticize them, as they realize they would be sitting ducks in a nuclear war.
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 would be crippled by reduced output, industrial decline, widespread unemployment ''.
We welcome this able brief for the negative as part of a many-sided discussion of the Atlantic Common Market which JNR will be continuing in our pages.
We hoped that its practitioners and teachers might be put on some sort of reserve list and called back for refresher courses each year or so.
-- We won't be too long.
We blushed and were flustered, and it turned out to be the fleetest brush of lips upon cheek.
We found in Gonzales v. United States, supra, that this was the controlling reason why copies of the recommendation should be furnished a registrant.

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