As a consequence, these languages fail to be Turing complete and expressing certain functions in them is impossible, but they can still express a wide class of interesting computations while avoiding the problems introduced by unrestricted recursion.

One consequence not foreseen by the builders of the system was that with the almost immediate reporting of newsworthy events, tens of thousands of people worldwide — along with criminals — would flock to the scene of anything interesting, hoping to experience or exploit the instant, thus disorder and confusion be created.

This has an interesting consequence because treaties that limit or extend the powers of the Dutch government are automatically considered a part of their constitutional law, for example, the European Convention for the Protection of Human Rights and Fundamental Freedoms and the International Covenant on Civil and Political Rights.

The third, " Farewell, O sun, Arcadia's clearest light ", is evidently the first rhyming sestina in English: it is in iambic pentameter and follows the standard end-word scheme, but rhymes ababcc in the first stanza ( the rhyme scheme necessarily changes in each subsequent stanza, an interesting consequence of which is that the 6th stanza is inevitably in rhyming couplets ).

BS12 included a number of interesting features that still have yet to appear on most SQL-based systems, some a consequence of following the ISBL precedent, others due to deliberate design.

This has an interesting consequence on the electric dipole moment ( EDM ) of any particle.

One interesting consequence of Kripke semantics is that identities involving rigid designators are necessary.

* An easy consequence of Gödel's incompleteness theorem is that there is no complete consistent extension of even Peano arithmetic with a recursively enumerable set of axioms, so in particular most interesting mathematical theories are not complete.

One interesting consequence of Prohibition was that vineyards were replanted with lower quality grapes such as Alicante Bouschet that could survive transportation to home winemakers, and this tradition of home winemaking changed taste preferences from a dry style before Prohibition to a much sweeter style.

There is an interesting consequence of seeing the leaky bucket as a queue for variable packet lengths as a specific implementation of the token bucket or leaky bucket as a meter in traffic shaping.

This direction is an immediate consequence of basic category theory, so the deeper and more interesting part of the equivalence is the other implication.

An interesting consequence of this in the case of Ancylostoma duodenale infection is translactational transmission of infection: the skin-invasive larvae of this species do not all immediately pass through the lungs and on into the gut, but spread around the body via the circulation, to become dormant inside muscle fibers.

In addition, the artist must consider the consequence of working on a small " canvas "; for instance, traditional paintings often reduce into an amorphous blur, and so the stamp designer will opt to pick a single interesting and / or characteristic detail as the center of the design.

The law has had an interesting consequence with regard to the cruise ship industry within the state of Hawaii.

The conclusion that the exterior field must also be stationary is more surprising, and has an interesting consequence.

Another interesting consequence of Birkhoff's theorem is that for a spherically symmetric thin shell, the interior solution must be given by the Minkowski metric ; in other words, the gravitational field must vanish inside a spherically symmetric shell.

Forward differences applied to a sequence are sometimes called the binomial transform of the sequence, and have a number of interesting combinatorial properties.

The integral representation for these types of series is interesting because the integral can often be evaluated using asymptotic expansion or saddle-point techniques ; by contrast, the forward difference series can be extremely hard to evaluate numerically, because the binomial coefficients grow rapidly for large n.

* A simple but interesting application of the cited binomial formula is the "( m, n )- formula " for generating Pythagorean triples: for m < n, let,,, then.

What is interesting, however, is that it also respects the addition of R. The expression ( r + s )< sup > p </ sup > can be expanded using the binomial theorem.

The debate is interesting enough, however, that it is considered of note when a theorem in ZFC ( ZF plus AC ) is logically equivalent ( with just the ZF axioms ) to the axiom of choice, and mathematicians look for results that require the axiom of choice to be false, though this type of deduction is less common than the type which requires the axiom of choice to be true.

An interesting point is that energy is also a symmetry with respect to time, and momentum is a symmetry with respect to space, and these are the reasons why energy and momentum are conserved-see Noether's theorem.

In fact, it is a theorem that all adjoint functors between additive categories must be additive functors ( see here ), and most interesting functors studied in all of category theory are adjoints.

The theorem also has interesting consequences for triangles.

Some automated theorem provers require guidance as to which properties are " interesting " enough to pursue, while others work without human intervention.

Normal subgroups of prime power index are kernels of surjective maps to p-groups and have interesting structure, as described at Focal subgroup theorem: Subgroups and elaborated at focal subgroup theorem.

One of the most interesting theorems in this form of integral geometry is Hadwiger's theorem.

Sarkovskii's theorem is an interesting statement about the number of periodic points of a one-dimensional discrete dynamical system.

One thing that is really interesting is that Pythagoras was not credited for this theorem till at least three centuries after!

It is perhaps as interesting that the proof of this theorem relies heavily on integral, and, in particular, Stokes ' theorem, which states that the integral of the exterior derivative of a differential form is equal to the integral of that form over the boundary.

In combinatorics, he is known for Kruskal's tree theorem ( 1960 ), which is also interesting from a mathematical logic perspective since it can only be proved nonconstructively.

Combining this result with the Serre Classification Theorem and Donaldson's theorem, several interesting results can be seen:

In 1854 George Stokes included in the exam a question on an interesting result William Thomson had written to him about, which we now know as Stokes ' theorem.

The utter simplicity of this argument, which so powerfully produces a very interesting conclusion, is what makes the theorem appealing.

Since the theorem has now been proven, these are now of mainly historical significance, though the Mirimanoff polynomials are interesting in their own right.

It is interesting, however, that despite this strong upsurge in Southern writing, almost none of the writers has forsaken the firmly entrenched concept of the white-suited big-daddy colonel sipping a mint julep as he silently recounts the revenue from the season's cotton and tobacco crops ; ;

But he is more interesting than the others, the ones who come from the highroad to watch him, more interesting than Life considered as a cyclist.

It would be interesting to know how much `` integration '' there is in the famous, fashionable colleges and prep schools of New England.

Another, more interesting explanation, is hinted at by Watson when he observes on several occasions that Holmes would have made a magnificent criminal.

The interesting thing about Mr. Lyford's approach, and the approach of the contributors to The Agreeable Autocracies ( Oceana Publications, 1961 ) to the situation of American civilization, is that it is concerned with comprehending the psychological relationships which are having a decisive effect on American life.

English philosopher Samuel Alexander's debt to Wordsworth and Meredith is a recent interesting example, as also A. N. Whitehead's understanding of the English romantics, chiefly Shelley and Wordsworth.

The interesting thing in this connection is that the norms upon which students tend to converge include toleration of diversity.

`` I mean '', I went on ruthlessly, `` when he's not talking about you or himself or the wonders of love, is he interesting??

This angle of just where the Orioles can look for improvement this year is an interesting one.

What is interesting is that his positive qualifications for the post were revealed only as a kind of tail to his candidacy.

It is interesting to note that the present level of military electronics procurement is greater than the industry's total sales to all markets in 1950-1953, which were good years for our industry with television enjoying its initial period of rapid consumer acceptance.

The easiest way to describe this release is to say that it reproduces an interesting and effective Steinberg performance with minimal alteration of its musical values.

Although the Af calculation is obvious by analogy with that for gravitational field and osmotic pressure, it is interesting to confirm it by a method which can be generalized to include related effects.

This is interesting for it combines both the thermodynamic concept of a minimum Gibbs function for equilibrium and minimum mechanical potential energy for equilibrium.

It is a very interesting fact that these two problems can be handled simultaneously and this is what we shall do in the next chapter.

It is interesting that a 1: 1 correspondence can be established between the lines of two such pencils, so that in a sense a unique image can actually be assigned to each tangent.

It is interesting to note that medium compulsives in the unstructured schools made the lowest achievement scores ( although not significantly lower ).

It is interesting to note that 75 per cent of those who returned the questionnaire identified themselves.

It is interesting to note how many of the plants on Massachusetts' Route 128 draw most of their income either from the government in non-competitive cost-plus arrangements, or from the exploitation of patents which grant at least a partial monopoly.