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In type 1 the pulmonary vein closely follows the course of the bronchus and the pulmonary artery from the periphery to the hilum.

The specificity of staining with Af was established as follows: Af specifically stained tumor sections but not sections of healthy sweet clover stems or of crown gall tumor tissue from sweet clover.

It was assumed that the shift in autonomic hypothalamic balance occurring spontaneously in neuropsychiatric patients from the application of certain therapeutic procedures follows the pattern known from the sleep-wakefulness cycle.

It then follows that Af is large enough, but this is not obvious from the above expression.

The fact that there can not be any limit points of the set except in closed intervals follows from the argument used in Lemma 1, namely, that near any tangent point in the C-plane the curves C and Af are analytic, and therefore the difference between them must be a monotone function in some neighborhood on either side of the tangent point.

Since the complex of singular lines is of order K and since there is no complex of invariant lines, it follows from the formula Af that the order of the involution is Af.

A final class of exceptional lines is identifiable from the following considerations: Since no two generators of Af can intersect, it follows that their image curves can have no free intersections.

Consider what follows from the positivist view.

Our staff man cabled from Turin as follows --

The configuration of these electrons follows from the principles of quantum mechanics.

For finite sets X, the axiom of choice follows from the other axioms of set theory.

And the axiom of global choice follows from the axiom of limitation of size.

This belief follows the theology of St. Paul: For it is by grace you have been saved, through faith — and this not from yourselves, it is the gift of God, not by works, so that no one can boast.

Although Dirac did not himself use the term antimatter, its use follows on naturally enough from antielectrons, antiprotons, etc.

For Hume, every effect only follows its cause arbitrarily — they are entirely distinct from one another.

The book of Acts follows just the opposite motion, taking the scene from Jerusalem ( chs.

The distance formula on the plane follows from the Pythagorean theorem.

Today, Methodism follows this ancient Alexandrian practice as bishops are elected from and by the order of the presbyterate: the Discipline of the Methodist Church, in ¶ 303, affirms that " ordination to this ministry is a gift from God to the Church.

This conservation law mathematically follows from continuous directional symmetry of space ( no direction in space is any different from any other direction ).

The debate might be framed starkly as follows: on the one hand, we can hypothesise a poem put together from various tales concerning the hero ( the Grendel episode, the Grendel's mother story, and the firedrake narrative ).

But there is every reason to regard deal as a monosyllable, and because of the fact that /l/ commonly has the quality of AAb/ when it follows vowel sounds, deal seems to be a perfectly satisfactory rhyme with deal.

For example, the conservation of energy follows from the time-invariance of physical systems, and the fact that physical systems behave the same regardless of how they are oriented in space gives rise to the conservation of angular momentum.

( The oddness of Carmichael numbers also follows from the fact that is a Fermat witness for any even number.

But this solution has a defect: expert system runs slower than a traditional program because he consistently " thinks " when in fact a classic software just follows paths traced by the programmer.

This and related predictions follow from the fact that light follows what is called a light-like or null geodesic — a generalization of the straight lines along which light travels in classical physics.

The spin follows from the fact that the source of gravitation is the stress-energy tensor, a second-rank tensor ( compared to electromagnetism's spin 1 photon, the source of which is the four-current, a first-rank tensor ).

This follows from the fact that, for all p in,

His view on class division and technocracy are as follows " Since when no one works for another, the profiteer from wealth disappears, just as government will disappear when no one pays attention to those who learned four things at universities and from that fact they pretend to govern men.

This limitation follows from the fact that Miranda's purpose is to protect suspects from the compulsion inherent in the police dominated atmosphere attendant to arrest.

The equivalence of the two definitions follows from the fact that an algorithm on such a non-deterministic machine consists of two phases, the first of which consists of a guess about the solution which is generated in a non-deterministic way, while the second consists of a deterministic algorithm which verifies or rejects the guess as a valid solution to the problem.

( In fact, subtracting 1 and dividing the result by 9 always gives a triangular number, the sequence starting with 3, 55, 903, 3727815, ....) This can be reformulated as follows: adding the digits of any even perfect number ( except 6 ), then adding the digits of the resulting number, and repeating this process until a single digit ( called the digital root ) is obtained, always produces the number 1.

In fact, it follows from the proof of Hadamard and de la Vallée Poussin that

In fact, there are many ways to generate finite amounts of data that mimic this signature behavior, but, in their asymptotic limit, are not true power laws ( e. g., if the generating process of some data follows a Log-normal distribution ).

The argument is valid ( because the conclusion is true based on the premises, that is, that the conclusion follows the premises ) and since the premises are in fact true, the argument is sound.

A BBC News report described it as follows: " The first thing that hits you here is this rich stench of almost 1 million people living in this ditch-in mud huts, with no sewage pipes, no roads, no water, no toilet, in fact, with no services of any kind.

This follows from the Chinese remainder theorem and the fact that a ring of the form Z / kZ is a field if and only if k is a prime.

:: From the fact that if this match is scratched it will light, it follows that if it does not light it was not scratched.

:: From the fact that if this match is scratched it will light, it follows that if it were not to light it would not have been scratched.

This follows, in part, from the fact the covariant Hom functor Hom ( N, –): C → Set preserves all limits in C. By duality, the contravariant Hom functor must take colimits to limits.

The first follows from direct diagonalization ( the space hierarchy theorem, ) and the fact that via Savitch's theorem.

According to the United States EMP Commission, the main potential problem with the E2 component is the fact that it immediately follows the E1 component, which may have damaged the devices that would normally protect against E2.

This follows immediately from the fact that transposing a square matrix does not affect elements along the main diagonal.

This follows from the fact that if it were identical to, say, the 10th sequence in the list, then we would have s < sub > 0, 10 </ sub > =

The proof follows by the fact that if f were indeed a map onto P ( S )), then we could find r in S, such that f (