The mandate is distinguished from the appeal court's opinion, which sets out the legal reasoning for its decision.

But humans can do something equally useful, in the case of certain enumerably infinite sets: They can give explicit instructions for determining the nth member of the set, for arbitrary finite n. Such instructions are to be given quite explicitly, in a form in which they could be followed by a computing machine, or by a human who is capable of carrying out only very elementary operations on symbols.

Another of his theological textbooks that strove to be more minute in its focus, is his De Fide Catholica, dated somewhere between 1185 to 1200, Alan sets out to refute heretical views, specifically that of the Waldensians and Cathars.

It sets out Nimzowitsch's most important ideas, while his second most influential work, Chess Praxis, elaborates upon these ideas, adds a few new ones, and has immense value as a stimulating collection of Nimzowitsch's own games accompanied by his idiosyncratic, hyperbolic commentary which is often as entertaining as instructive.

" It ends in death, and sets the stage for an album populated by rogues, con men, outcasts, gamblers, gunfighters and desperados, many of them with nothing to lose, some of them out of their minds, all of them quintessentially American.

For example, in the United Kingdom, the Companies Act 2006 requires directors of companies " to promote the success of the company for the benefit of its members as a whole " and sets out the following six factors regarding a director's duty to promote success:

As it turned out, assuming that one can perform any operation on sets without restriction leads to paradoxes such as Russell's paradox and Berry's paradox.

" He then had sets constructed and worked with his stock company to improvise gags and " business " around them, almost always working the ideas out on film.

This allows weather and lighting to be controlled ( as the shooting is indoors ), and for all clothing and sets to be stored in one place to be hauled out the next day from a secure location.

Nonetheless, it turns out that infinite sets do have a well-defined notion of size ( or more properly, of cardinality, which is the technical term for the number of elements in a set ), and not all infinite sets have the same cardinality.

The convention reminds decision-makers that natural resources are not infinite and sets out a philosophy of sustainable use.

The Nagoya Protocol sets out core obligations for its contracting Parties to take measures in relation to access to genetic resources, benefit-sharing and compliance.

Her father then sets out with Laura in a carriage for the ruined village of Karnstein.

In legal terminology, a complaint is any formal legal document that sets out the facts and legal reasons ( see: cause of action ) that the filing party or parties ( the plaintiff ( s )) believes are sufficient to support a claim against the party or parties against whom the claim is brought ( the defendant ( s )) that entitles the plaintiff ( s ) to a remedy ( either money damages or injunctive relief )

With this knowledge and a pair of glasses given to him as a gift by Wonder Woman, ' Clark ' regains his humanity, and sets out to become a hero again by re-fertilizing the irradiated fields of Kansas.

A brute-force approach converts these congruences into sets and writes the elements out to the product of ( the solutions modulo 60 for each congruence ):

Ironically, although the ID tags include religion as a way of ensuring that religious needs will be met, some personnel have them reissued without religious affiliation listed — or keep two sets, one with the designation and one without — out of fear that identification as a member of a particular religion could increase the danger to their welfare or their lives if they fell into enemy hands.

He sets out in the early morning and ends up at an inn, which he believes to be a castle.

* 1577 – Sir Francis Drake sets out from Plymouth, England, on his round-the-world voyage.

This would be an irresponsible act of reading because it ignores the empirical facticity of the text itself-that is it becomes a prejudicial procedure that only finds what it sets out to find.

Many of the Articles in Section I are structured in two paragraphs: the first sets out a basic right or freedom ( such as Article 2 ( 1 ) – the right to life ) but the second contains various exclusions, exceptions or limitations on the basic right ( such as Article 2 ( 2 ) – which excepts certain uses of force leading to death ).

That declaration sets out three aims for the construction of another Europe: the total change of institutions to make them " fully democratic "; and breaking with " neo-liberal monetarist policies "; and a policy of co-development and equitable cooperation.

With this communication Epaphroditus sets out on his homeward journey ( 3. 28-29 ).

In the later Babylonian epic Enûma Eliš, Abzu, the " begetter of the gods ", is inert and sleepy but finds his peace disturbed by the younger gods, so sets out to destroy them.

What sets it apart from other approaches, however, is its focus on developing and applying computationally intensive techniques to achieve this goal.

Use was prevalent in televisions because transistors were slow to achieve the high power and frequency capabilities needed particularly in color television sets.

Modern commercial domino sets are usually made of synthetic materials, such as ABS or polystyrene plastics, or Bakelite and other phenolic resins ; many sets approximate the look and feel of ivory while others use colored or even translucent plastics to achieve a more contemporary look.

This set of small tools would then be used by the small hands to build and operate ten sets of one-sixteenth-scale hands and tools, and so forth, culminating in perhaps a billion tiny factories to achieve massively parallel operations.

Older character sets were stored as bitmaps, therefore to achieve maximum print quality they had to be used at a given resolution only ; these font formats are said to be non-scalable.

Hyperpyrexia differs from hyperthermia in that in hyperpyrexia the body's temperature regulation mechanism sets the body temperature above the normal temperature, then generates heat to achieve this temperature, while in hyperthermia the body temperature rises above its set point.

Early Doppler radar sets rely on large bulky analog filters to achieve acceptable performance.

Panasonic states that PDPs will consume only half the power of their previous series of plasma sets to achieve the same overall brightness for a given display size.

As more people bought monochrome sets, it was increasingly unlikely that CBS could achieve any success with its incompatible system.

When comparing different instruction sets, a simpler instruction set may lead to a higher IPC figure than an implementation of a more complex instruction set using the same chip technology ; however, the more complex instruction set may be able to achieve more useful work with fewer instructions.

The phenomenon of optical diffraction sets a limit to the resolution and image quality that a telescope can achieve, which is the effective area of the Airy disc, which limits how close two such discs can be placed.

Although the X-ray target is removed in electron mode, the beam must be fanned out by sets of thin scattering foils in order to achieve flat and symmetric dose profiles in the treated tissue.

McCreevy's EU Services Sector Competition Directive, sets out to achieve full competition in the Services sector across the EU.

In 2010 Michael Gove, writing in The Times, asserted that, for Hitchens, what is more important than the split between the Left and the Right is " the deeper gulf between the restless progressive and the Christian pessimist ", and in 2010 Hitchens himself wrote " in all my experience in life, I have seldom seen a more powerful argument for the fallen nature of man, and his inability to achieve perfection, than those countries in which man sets himself up to replace God with the State ".

The gigantic Miles X Airliner was to seat 55 and have eight engines buried in the wing, driving four sets of contra-rotating props and achieve a range of 3, 450 miles.

But now Saturos ' remaining travelling companion, Felix, has taken the rest of Saturos ' group and now sets out on a journey of his own to complete Saturos ' original objective to activate the remaining two Lighthouses, for lighting all four will achieve the restoration of the powerful force of Alchemy to Weyard.

By using one or more arcs, an extended link can achieve specific sets of connections between multiple resources.

And they knew when a government sets out to do that, it must use force and coercion to achieve its purpose.

Academic curriculi categorize studio classes in order to prepare students for the rigors of building sets of skills which require a continuity of practice in order to achieve growth and mastery of their artistic expression.

For SumatraPDF, WinShell automatically sets the correct commands to achieve forward and inverse search between WinShell and SumatraPDF.

This feature allows directors and cameramen to achieve shots in minutes that previously took cinematographers hours in rigging and designing special sets to accommodate shooting positions.

Goal Eight sets objectives and targets for developed countries to achieve a " global partnership for development " by supporting fair trade, debt relief for developing nations, increasing aid and access to affordable essential medicines, and encouraging technology transfer.

Pressuring oneself to achieve such unrealistic goals inevitably sets the individual up for disappointment.

Hip hop authenticates a black identity, and in doing so, creates a unifying uplifting force among Africans as Pan-Africanism sets out to achieve.