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Page "belles_lettres" ¶ 515
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formal and displacement
The formal solution of the eigenvalue equation is the vacuum state displaced to a location in phase space, i. e., it is obtained by letting the unitary displacement operator operate on the vacuum:

formal and principle
So far as the existing body of formal principle and procedure is concerned, categorical novelties are not to be anticipated in Jewish-Gentile relationships ; ;
( A formal proof for all finite sets would use the principle of mathematical induction to prove " for every natural number k, every family of k nonempty sets has a choice function.
Russell and Whitehead thought they could derive all mathematical truth using axioms and inference rules of formal logic, in principle opening up the process to automatisation.
The term convention is also used in international law to refer to certain formal statements of principle such as the Convention on the Rights of the Child.
Although ancient Greek philosophers believed in individual virtue ethics, philosophers like " Plato, Aristotle, and the Stoics not accept the formal principle that whatever the good is, we should seek only our own good, or prefer it to the good of others.
Unlike many object-oriented languages, but like Smalltalk, Eiffel does not permit any assignment into fields of objects, except within the features of an object, which is the practical application of the principle of information hiding or data abstraction, requiring formal interfaces for data mutation.
" Nowadays, as Hezbollah scholar Magnus Ranstorp reports, Hezbollah does indeed have a formal governing structure, and in keeping with the principle of Guardianship of the Islamic Jurists ( velayat-e faqih ), it " concentrate ... all authority and powers " in its religious leaders, whose decisions then " flow from the ulama down the entire community.
In formal logic, the principle of bivalence becomes a property that a semantics may or may not possess.
The same is true of proofs, which are often expressed as logically organized and clearly worded informal arguments, intended to convince readers of the truth of the statement of the theorem beyond any doubt, and from which arguments a formal symbolic proof can in principle be constructed.
The Repeal Act, indeed, was only passed pari passu with another censuring the American assemblies, and declaring the authority of the British parliament over the colonies " in all cases whatsoever "; so that the House of Commons repudiated in the most formal manner the principle Pitt laid down.
* Transparency ( trade ), the formal principle of the WTO that a country ’ s policies and regulations affecting foreign trade should be clearly communicated to its trading partners.
The anarchic ordering principle of the international structure is decentralized, having no formal central authority, and is composed of formally equal sovereign states.
Sola scriptura was a foundational doctrinal principle of the Protestant Reformation held by the Reformers and is a formal principle of Protestantism today ( see Five solas ).
Scripture alone is the formal principle of the faith, the final authority for all matters of faith and morals because of its inspiration, authority, clarity, efficacy, and sufficiency.
" For this reason, sola scriptura is called the formal cause or principle of the Reformation.
"< ref >< cite > In XV Psalmos graduum </ cite > 1532-33 ; WA 40 / III. 352. 3 </ ref > Lutherans follow Luther in this when they call this doctrine " the material principle " of theology in relation to the Bible, which is " the formal principle.
The motive principle for ABNF is to describe a formal system of a language to be used as a bidirectional communications protocol.
Any proposal of law in the broadest sense and any proposed treaty is in principle first submitted to the Council of State for legal comment ; this can be limited by formal law, which however only does so for trivial cases ( Article 73 ).
Article 112 states the main principle: the power to judge disputes of private law and the law of obligations is exclusively attributed to the judiciary ( subarticle 1 ); formal law can attribute other judicial powers to either the judiciary or other courts ; delegation is possible as regards the regulation of the procedures and the implementation of rulings ( subarticle 2 ).
* Quantity principle: conceptual complexity corresponds to formal complexity
Also in 1925, he published his famous work in intuitionistic logic — On the principle of the excluded middle, in which he proved that under a certain interpretation, all statements of classical formal logic can be formulated as those of intuitionistic logic.
This is the principle that the correct formal scientific name for an animal taxon, the name that is to be used, called the valid name, is the oldest available name that applies to it.

formal and far
Due to population growth and the proliferation of compulsory education, UNESCO has calculated that in the next 30 years more people will receive formal education than in all of human history thus far.
Some of them hold that one or more of the most recent popes have held and taught unorthodox beliefs, but do not go so far as to say that they have been formal heretics or have been widely and publicly judged to be heretics.
Red Butte Garden, with formal gardens and natural areas, is located on the far east side of campus.
Molde Cathedral ( orange roof on far right ) with its freestanding bell tower replaces the church that was destroyed during World War II The town gained formal trading rights in 1614.
" Afterwards, during a formal inquiry of the events, Polenin speaks highly of Captain Vostrikov, and rebukes the convened tribunal for the hostile interrogations of both Vostrikov, and the radiation afflicted crew, even going so far as to say: " None of you ... none of you ... has the right to judge Captain Vostrikov.
These critics were concerned with a formal analysis of narrative forms which would resemble a literary mathematics, or at least a literary syntax, as far as possible.
Ironically, breeders tend to use the more formal " cavy " to describe the animal, while in scientific and laboratory contexts it is far more commonly referred to by the more colloquial " guinea pig ".
Thus far, they have only achieved the formal classification of the phenomena with an elaborate nomenclature — yet do not understand what such activities really mean in a strictly scientific sense.
The New Green Lantern Corps being built by the Guardians is far more formal and structured than the old one that was destroyed by Parallax.
Montebello far exceeds the formal boundaries of the incorporated village today.
" " Cry to Me " was written ( as Bert Russell ) and produced by Bert Berns, " a roly-poly white New Yorker with a deep love and empathy for black music despite a formal music education at the Juilliard School Of Music and a music background far removed from the searing soul in which, by 1963, he specialised ", with whom Burke had a difficult relationship.
While Priyanka has so far restricted herself to organising her mother's election campaigns and taking care of Sonia's constituency, Rahul Gandhi has gone on to take formal charge as General Secretary of the Congress Party.
Matchmakers, acting as formal chaperones or as self-employed ' busybodies ' serving less clear social purposes, would attend such events and advise families of any burgeoning romances before they went too far.
As far as large formal mansions and estates, most have been razed, yet one of the last remaining estates in Babylon, and presumably the towns smallest is the Long Island Yacht Club, built by E. W.
Most efforts to abolish the office of Justice of the Peace have been led by the American Bar Association, which views non-lawyer judges as no longer necessary, as there are now far more persons with formal legal education than in the past when Justices of the Peace were first used.
Theodore Dwight, who had been head of the law department of Hamilton College in Clinton, New York, believed formal legal education, conducted in the classroom with regular lectures, was far superior to casual law office instruction.
Gongfucha brewing is a far more formal method of tea brewing ( mainly for oolong or double fermented teas like Pu ' erh ) although even this method can be made more or less formal depending on the occasion.
Positions in touch football are far less formal than its more organized counterpart.
In the UK this style is still sometimes known as a butcher's bike or delibike, although the Post Office have by far the largest fleet ; a more formal name is Porteur bicycle.
His two-hour formal oration preceded the much shorter, but now far more famous Gettysburg Address of President Lincoln.
There is no formal section of SIS known as the Special Operations Section ( as far as is publicly known ), and there is no intelligence unit known as " Sandbaggers.
Sinn Féin's president, Gerry Adams, denounced the Agreement: "... the formal recognition of the partition of Ireland ... a disaster for the nationalist cause ... far outweighs the powerless consultative role given to Dublin ".

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