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 get the dominant asymptotic behaviour by setting

We may expect the in field to resemble the asymptotic behaviour of the interacting field as, making the assumption that in the far away past interaction described by the current is neglegible, as particles are far from each other.

We shall consider the matrix elements of the charge and of the current for one-particle asymptotic states, of equal helicity, and, labeled by their lightlike 4-momenta.

We do not yet know the practical limit of long-term memory capacity.

We define the inverse limit of the inverse system (( A < sub > i </ sub >)< sub > i ∈ I </ sub >, ( f < sub > ij </ sub >)< sub > i ≤ j ∈ I </ sub >) as a particular subgroup of the direct product of the A < sub > i </ sub >' s:

We call this limit the derivative.

We may take this a step further to the continuum limit, where the wave function is an integral over all possible modes

We can verify that our idea of " macroscopic " systems fall within the correspondence limit.

' Here is our answer: We refuse to allow you to speak for all the American people ... We refuse to be party to these wars and we repudiate any inference that they are being waged in our name or for our welfare ..." It indicates as inspiration "... Israeli reservists who, at great personal risk, declare ' there IS a limit ' and refuse to serve in the occupation of the West Bank and Gaza ", the abolitionists, and " those who defied the Vietnam war " and concludes, " we will resist the machinery of war and repression and rally others to do everything possible to stop it.

We prove that if an increasing sequence is bounded above, then it is convergent and the limit is.

We can also define the topology on the ordinals in the following inductive way: 0 is the empty topological space, α + 1 is obtained by taking the one-point compactification of α ( if α is a limit ordinal ; if it is not, α + 1 is merely the disjoint union of α and a point ), and for δ a limit ordinal, δ is equipped with the inductive limit topology.

Termination By Us We may limit, interrupt, terminate or refuse to provide a Service for the following reasons, or for any other good cause: .... ( f ) if the majority of your Service is used roaming on a network not owned or operated by Alltel.

We can say that G is an inverse limit of Lie groups.

We can solve for thermodynamic beta by considering it as a central difference without taking the continuum limit:

" In his diary Lindbergh wrote: " We must limit to a reasonable amount the Jewish influence … Whenever the Jewish percentage of the total population becomes too high, a reaction seems to invariably occur.

1888, Simon Newcomb: " We are probably nearing the limit of all we can know about astronomy.

In March 1998, on a visit to Rwanda, US President Bill Clinton spoke to the crowd assembled on the tarmac at Kigali Airport: " We come here today partly in recognition of the fact that we in the United States and the world community did not do as much as we could have and should have done to try to limit what occurred " in Rwanda.

We are very pleased that General Mazuz has replied within the time limit set out in Lord Goldsmith's letter.

We can also say that the measure is a single atom at x ; however, treating the Dirac measure as an atomic measure is not correct when we consider the sequential definition of Dirac delta, as the limit of a delta sequence.

For instance, the reason why Abu Jahl was crossing every limit in his hostility to him has been explained by himself: " We and the Bani Abdi Manaf ( to which the Holy Prophet belonged ) were rivals of each other: they fed others, we too fed others ; they provided conveyances to the people, we too did the same ; they gave donations, we too gave donations, so much so that when they and we have become equal in honor and nobility, they now proclaim that they have a Prophet who is inspired from the heaven ; how can we compete with them in this field?

We say that a learner can identify in the limit a class of languages if given any presentation of any language in the class the learner will produce a finite number of wrong representations, and therefore converge on the correct representation in a finite number of steps, without however necessarily being able to announce its correctness since a counterexample to that representation could appear as an element arbitrarily long after.

Starbreeze senior producer Peter Wanat said, " We tried to limit the number of really hard or really intricate RPG elements, and that was a choice because we wanted the game to be playable.

Johnson suggested that at the new lower limit, " We could give that level a $ 100 fine, or call it driving under federal blackmail.

This hope gives a realistic perspective to understanding suffering and helping others: We can try to limit suffering, to fight against it, but we cannot eliminate it.