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 would have the means to seek out and destroy the enemy's force -- whether it were fixed or mobile.

We again consider a fixed point P at Af and a variable point Q at Af on C.

We will consider to be an inherent fixed property of our communications channel ( representing the nature of the noise of our channel ).

We don't form fixed programs and we don't form small or great parties.

We have fixed the special attention of our readers upon this Votan, or Wodan, an American who appears in the same family with the Wods or Odins of the Goths and of the people of Celtic origins.

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 introduce a fixed point charge Q at the origin.

We assume that we are working over a fixed, algebraically closed field k, which in classical geometry was almost always the complex numbers.

We may ask whether a given affine representation has a fixed point in the given affine space A.

We now know this additional name variously as the second name, last name, family name, surnames or occasionally the byname, and this natural tendency was accelerated by the Norman tradition of using surnames that were fixed and hereditary within individual families.

# We recall something that should be obvious, that is the composing and composed matrices are supposed to act on the coordinates of vectors defined in the initial fixed world axis and give as a result the coordinates in the same system of a rotated vector, rotation primarily interpreted extrinsicly, but to which we can give globally an equivalent intrinsic interpretation.

We can use the fixed price values of the real process in the productivity model above to show the accounting procedure.

We write M < sup > G </ sup > for the subgroup of M consisting of all elements of M that are held fixed by G. This is a left-exact functor, and its right derived functors are the group cohomology functors, typically written as H < sup > i </ sup >( G, M ).

We want the sense of motion to relieve staring, to end the fixed look.

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 will proceed to apply Banach fixed point theorem using the metric on induced by the uniform norm

We assume all the substrings have a fixed length m.

We will assume the existence of such fixed points for every modal formula with one free variable.

The first one, according to Mona Ozouf, was one of " fraternité de rébellion " ( Fraternity of Rebellion ), that is the union of the deputies in the Jeu de Paume Oath of June 1789, refusing the dissolution ordered by the King Louis XVI: " We swear never to separate ourselves from the National Assembly, and to reassemble wherever circumstances require, until the constitution of the realm is drawn up and fixed upon solid foundations.

If you will guarantee I won ’ t have a primary I ’ ll probably consider to run, but I don ’ t want to have to campaign at a primary and then possibly campaign in the general election .” They came back in about a week and said, “ We got it fixed ; you won ’ t have a primary .”

We can zero them by extending the same idea of stepping through the columns with a series of rotations in a fixed sequence of planes.

and a fixed natural number n. We can then define the Ehrenfeucht – Fraïssé

We don't form fixed programs and we don't form small or great parties.