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 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 can use the average energy of the signal to find the final expression:

We can solve this by using a weighted average of the quartiles and the interquartile dataset:

We can see that the resulting intensity is made of a sinus law with a high " spatial frequency " ( wave number ) which is the average of the spatial frequencies of the two patterns, and of a sinus law with a low spatial frequency which is the half of the difference between the spatial frequencies of the two patterns.

We like our clocks to run at a constant rate, so they cannot follow the actual sun ; instead they follow a " fictitious mean sun " that moves along the celestial equator at a constant rate, matching the real sun's average rate over the year.

We know the arrival rate is 10 per hour, so customers must be spending 0. 2 hours on average checking out.

We rely on donations from average people all over the world that support peace and the Palestinian struggle for freedom.

We can find in the town a few newly built buildings with predominance of postmodernist features, but there are much more examples of building, houses and so on being rebuilt and refurbished partly and thus having conspicuous postmodernist character of its elements built in or inset as a part of larger entity belonging to older styles in architecture, mainly Socialist Realism ( on average in New Konin ) or Eclecticism ( usually in The Old Town ).

We can similarly calculate that the average piano tuner performs

We need a courageous candidate who will stand up and fight the necessary political battle for the welfare of the average American.

We can then consider the average treatment response ( e. g. the symptom levels following treatment ) for each patient, as a function of the treatment combination that was administered.

We also assume that, the growth rate of full-employment output, is approximately equal to its average value,.

We could take a weighted average of the first two models, with weights 1 and 0. 368, respectively, and then do statistical inference based on the weighted multimodel ; alternatively, we could gather more data to distinguish between the first two models.

" We have an average of only twenty-five rounds of ammunition to the man ," McCulloch reported, " and no more to be had short of Fort Smith and Baton Rouge.

We ’ re not like your average Christian band.

We may fairly ascribe the incapacity of the Negro race to form a nation to the lack of men endowed with the qualities of great leaders, even more than to the lower level of average capacity " ( McDougall, William., The Group Mind, p. 187, Arno Press, 1973 ; Copyright, 1920 by G. P.

Chapter 1: Friedan points out that the average age of marriage was dropping and the birthrate was increasing for women throughout the 1950s, yet the widespread unhappiness of women persisted, although American culture insisted that fulfillment for women could be found in marriage and housewifery ; this chapter concludes by declaring " We can no longer ignore that voice within women that says: ' I want something more than my husband and my children and my home.

We found no change in two other measures of competition, and there were no observed changes in voter choice -- the average number of legislative candidates per district race.

We can say that the average width is 5 miles.

We can take the average interparticle spacing in the gas to be approximately ( V / N )< sup > 1 / 3 </ sup > where V is the volume and N is the number of particles.

We can approximate the integral by generating sample paths and then taking an average.

We obtain the Monte-Carlo value of this derivative by generating N lots of M normal variables, creating N sample paths and so N values of H, and then taking the average.

We note in passing that the long time average of the dissipation function is a product of the thermodynamic force and the average conjugate thermodynamic flux.