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.

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 will refer to the plane of C and Af as the C-plane and to the plane of the graph as the Aj.

We receive, therefore, in no single intercepting plane behind the system, as, for example, a focusing screen, an image of the object point ; on the other hand, in each of two planes lines O ' and O " are separately formed ( in neighboring planes ellipses are formed ), and in a plane between O ' and O " a circle of least confusion.

We pay for a single fighter plane with a half million bushels of wheat.

We improved the precision of the position, i. e. reduced σ < sub > x </ sub >, by using many plane waves, thereby weakening the precision of the momentum, i. e. increased σ < sub > p </ sub >.

i. e., z is a vector orthogonal to the vector v ( Indeed, z is the projection of u onto the plane orthogonal to v .) We can thus apply the Pythagorean theorem to

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 associate an algebra to our geometry using a Cartesian coordinate system made of two lines, and represent points of our plane by vectors.

** We Are Marshall, a 2006 movie about the aftermath of the 1970 plane crash that killed most of the Marshall University football team and coaching staff

We want to find n ′ perpendicular to P. Let t be a vector on the tangent plane and M < sub > l </ sub > be the upper 3x3 matrix ( translation part of transformation does not apply to normal or tangent vectors ).

We all thought it was an enemy plane until the next day when we read the papers and discovered it was Amy.

We can establish a one-to-one correspondence between the points on the surface of the sphere minus the north pole and the points in the complex plane as follows.

We perfect the one-to-one correspondence by adding one more point to the complex plane – the so-called point at infinity — and identifying it with the north pole on the sphere.

We can " cut " the plane along the real axis, from − 1 to 1, and obtain a sheet on which g ( z ) is a single-valued function.

We should distinguish at the outset between the L-series, an infinite series representation ( for example the Dirichlet series for the Riemann zeta-function ), and the L-function, the function in the complex plane that is its analytic continuation.

Westervelt USN that " We could build a better plane ourselves and build it faster ".

We can extend the definition of the Airy function to the complex plane by

Of course, there are other solutions, which is evidenced by considering the position of i in the complex plane and in particular its argument arg i. We can rotate counterclockwise π / 2 radians from 1 to reach i initially, but if we rotate further another 2π we reach i again.

Among Strathairn's recent films are: We Are ... Marshall, a 2006 film about the rebirth of Marshall University's football program after the 1970 plane crash that killed most of the team's members ; and Cold Souls, starring Paul Giamatti as a fictionalised version of himself, who enlists a company's services to deep freeze his soul, directed by Sophie Barthes.

We see the shift in traditional belief of Heaven as influenced by the Renaissance, which is called " neo-Platonism ," which tried to lift love to a spiritual, idealistic plane, as compared to the traditional Catholic view of Heaven.

On May 11, 2006, before the House of Commons, she said " We would have to pull every truck and car off the street, shut down every train and ground every plane to reach the Kyoto target negotiated by the Liberals.

We imagine the object plane as being decomposed into square areas such as this, with each having its own associated square post function.

We also note that a perfect point source radiator will not only radiate a uniform spectrum of propagating plane waves, but a uniform spectrum of exponentially decaying ( evanescent ) waves as well, and it is these which are responsible for resolution finer than one wavelength ( see Fourier optics ).