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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 ).

Using terms from formal language theory, the precise mathematical definition of this concept is as follows: Let S and T be two finite sets, called the source and target alphabets, respectively.

It is deduced from the model existence theorem as follows: if there is no formal proof of a formula then adding its negation to the axioms gives a consisten theory, which has thus a model, so that the formula is not a semantic consequence of the initial theory.

The formal algorithm to compute from follows.

A formal presentation of the argument is as follows:

* A formal system is strongly complete or complete in the strong sense if and only if for every set of premises Γ, any formula which semantically follows from Γ is derivable from Γ.

Once we have defined multiplication for formal power series, we can define multiplicative inverses as follows.

The formal definition of continuity of a function, as formulated by Weierstrass, is as follows:

It follows that whoever wields personal influence and power can legitimize this only by gaining a formal position in the hierarchy, with commensurate authority.

It follows that whoever wields personal influence and power can legitimize this only by gaining a formal position in the hierarchy, with commensurate authority.

The formal statement of the hypothesis follows.

One example of such a formal proof is as follows.

( This follows from the formal definition of a functor.

As with programming language semantics, styles of formal methods may be roughly classified as follows:

The President's formal appointment follows Parliament's election.

What follows is a quote from Scott's seminal paper on formal semantics,

The formal definition is as follows: Let C be a category and let

Today the accession process follows a series of formal steps, from a pre-accession agreement to the ratification of the final accession treaty.

If five or more MPs challenge the Speaker's opinion, a formal division follows.

After their training, the three regiments received their formal designations as follows:

Manifolds with such vanishing are formal: their real homotopy type follows (" formally ") from their real cohomology ring.

) Suppose additionally that a < sub > n </ sub > is the number of elements of A with weight n. Then we define the formal Dirichlet generating series for A with respect to w as follows:

A formal proof or derivation is a finite sequence of propositions ( called well-formed formulas in the case of a formal language ) each of which is an axiom or follows from the preceding sentences in the sequence by a rule of inference.

The categories of praxeology, the general, formal theory of human action, as outlined by Murray Rothbard are as follows: