Written in prose but much closer to the high-level language of a computer program, the following is the more formal coding of the algorithm in pseudocode or pidgin code:

Atomic orbitals may be defined more precisely in formal quantum mechanical language.

The Miesian formal language of geometric grids employed in the buildings was also used by Aalto for other sites in Helsinki, including the Enso-Gutzeit building ( 1962 ), the Academic Bookstore ( 1962 ) and the SYP Bank building ( 1969 ).

One of his examples: mathematicians enjoy simple proofs with a short description in their formal language.

However, an ADT may be implemented by specific data types or data structures, in many ways and in many programming languages ; or described in a formal specification language.

* Metamath-a language for developing strictly formalized mathematical definitions and proofs accompanied by a proof checker for this language and a growing database of thousands of proved theorems ; while the Metamath language is not accompanied with an automated theorem prover, it can be regarded as important because the formal language behind it allows development of such a software ; as of March, 2012, there is no " widely " known such software, so it is not a subject of " automated theorem proving " ( it can become such a subject ), but it is a proof assistant.

Euskara Batua was created so that Basque language could be used — and easily understood by all Basque speakers — in formal situations ( education, mass media, literature ), and this is its main use nowadays.

Using programs or proofs of bounded lengths, it is possible to construct an analogue of the Berry expression in a formal mathematical language, as has been done by Gregory Chaitin.

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.

* Semantics encoding of formal language A in formal language B is a method of representing all terms ( e. g. programs or descriptions ) of language A using language B.

A formal neurological examination runs through a precisely delineated series of tests, beginning with tests for basic sensorimotor reflexes, and culminating with tests for sophisticated use of language.

The establishment of funding for the Gaelic College of Celtic Arts and Crafts and formal Gaelic language courses in public schools are intended to address the near-loss of this culture to English assimilation.

A formal grammar defines ( or generates ) a formal language, which is a ( usually infinite ) set of finite-length sequences of symbols ( i. e. strings ) that may be constructed by applying production rules to another sequence of symbols which initially contains just the start symbol.

Such a grammar defines the formal language: all words consisting solely of terminal symbols which can be reached by a derivation from the start symbol.

Writing after World War II, Lon L. Fuller notably emphasised that the law must meet certain formal requirements ( such as being impartial and publicly knowable ).

Further developments included generalization of the Fourier integral, " beginning with Plancherel's pathbreaking L < sup > 2 </ sup >- theory ( 1910 ), continuing with Wiener's and Bochner's works ( around 1930 ) and culminating with the amalgamation into L. Schwartz's theory of distributions ( 1945 )...", and leading to the formal development of the Dirac delta function.

The first formal survey of the Ring of Brodgar and surrounding antiquities was performed in 1849 by Royal Navy Captain F. W. L.

In a formal study of the term " integrity " and its meaning in modern ethics, law professor Stephen L. Carter sees integrity not only as a refusal to engage in behavior that evades responsibility, but also as an understanding of different modes or styles in which discourse attempts to uncover a particular truth.

His inclination, however, was to writing novels, and the success of his romance L ' Ariane in 1632 led to his formal admission to a circle of writers that met at the house of Valentin Conrart.

L & M was Schuman's reaction against more formal theory and ear training, and as a result did not have a formal structure.

John Hicks & Samuel Hollander, Nicholas Kaldor, Luigi L. Pasinetti, and Paul A. Samuelson have presented formal models as part of their respective interpretations of classical political economy.

The organization's actions reflect a formal policy for dealing with criticism instituted by L. Ron Hubbard, called " attack the attacker.

The Objectivists, especially the strict formal experimentation of Zukofsky's later works, were also formative for the L = A = N = G = U = A = G = E poets.

The first volume of L ' Evolution de genres dans l ' histoire de la littérature, lectures in which a formal classification, founded on Darwinism, is applied to the phenomena of literature, appeared in 1890 ; and his later works include a series of studies ( 2 vols, 1894 ) on the evolution of French lyrical poetry during the 10th century, a history of French classic literature begun in 1904, a monograph on Honoré de Balzac ( 1906 ), and various pamphlets of a polemical nature dealing with questions of education, science and religion.

In addition to the community's everyday or vernacular language variety ( labeled " L " or " low " variety ), a second, highly codified variety ( labeled " H " or " high ") is used in certain situations such as literature, formal education, or other specific settings, but not used for ordinary conversation.

In formal situations, ( H ) is used ; in informal situations, ( L ) is used.

John L. Sorenson has listed 15 cultural criteria for the hill Cumorah which are based on contextual clues from the text of the Book of Mormon: cities, towers, agriculture, metallurgy, formal political states, organized religion, idolatry, crafts, trade, writing, weaponry, astronomy, calendar systems, cement, and wheels.

Tarski's undefinability theorem ( general form ): Let ( L, N ) be any interpreted formal language which includes negation and has a Gödel numbering g ( x ) such that for every L-formula A ( x ) there is a formula B such that B ↔ A ( g ( B )) holds.

The original version of classical ( and intuitionistic ) logic of Paul Lorenzen and Kuno Lorenz were not defined in relation to models but with the help of winning strategies over formal dialogues ( P. Lorenzen, K. Lorenz 1978, S. Rahman and L. Keiff 2005 ).

In mathematics and computer science, the syntactic monoid M ( L ) of a formal language L is the smallest monoid that recognizes the language L.

In addition to the convention itself, W & L hosts a large number of formal and informal celebrations in honor of the Convention and its honored guests, including parades, parties, and balls.

A month later, an RLA consultant recommended a " World Center " for L ' Enfant Plaza that would include 4, 000-seat opera house, 2, 000-seat theatrical stage, large and small concert halls, exhibit areas, meeting rooms, television studios, reception and formal dining halls, and cultural library.

The name “ Fibonacci word ” has also been used to refer to the members of a formal language L consisting of strings of zeros and ones with no two repeated ones.

There were 3. 4 L conversions done to the 3. 0 L M104. 980 by AMG, prior to their formal cooperation with Daimler Benz.

As they do not receive Holy Orders in the Catholic, Orthodox and Oriental Churches, they do not possess the ability to ordain any religious to Holy Orders, or even admit their members to the non-ordained ministries to which they can be installed by the ordained clergy ( females do not serve as clergy anyway, per formal church teaching, in these churches ), nor do they exercise the authority they do possess under canon law over any territories outside of their monastery and its territory ( though non-cloistered, non-contemplative female religious members who are based in a convent or monastery but who participate in external affairs may assist as needed by the diocesan bishop and local secular clergy and laity, in certain pastoral ministries and administrative and non-administrative functions not requiring ordained ministry or status as a male cleric in those churches or programs ).

Chiefs and other leaders preside over customary, traditional courts, though all persons have the right to request that their case be considered under the formal British-based legal system.

Acts of formal recognition, such as the erection of an altar over the saint's tomb or transferring the saint's relics to a church, were preceded by formal inquiries into the sanctity of the person's life and the miracles attributed to that person's intercession.

A person cannot become Jewish by marrying a Jew, or by joining a synagogue, nor by any degree of involvement in the community or religion, but only by explicitly undertaking intense, formal, and supervised work over years aimed towards that goal.

Considerable controversy exists over the proper definition of the term " desertification " for which Helmut Geist ( 2005 ) has identified more than 100 formal definitions.

Examples of formal words are " a ", " the ", " more than ", " over ", " under ", " two ", " group ", and so on.

Beginning with John the Faster, the Bishop of Constantinople ( John IV, 582-595 ) adopted as a formal title for himself the by-then-customary honorific, Ecumenical Patriarch (" pre-eminent father for the civilized world ") over the strong objections of Rome: a title based on the political prestige of Constantinople and its economic and cultural centrality in the Empire.

* K < nowiki ></ nowiki > X < nowiki ></ nowiki >, the ring of formal power series over the field K. For each nonzero power series P, define f ( P ) as the degree of the smallest power of X occurring in P. In particular, for two nonzero power series P and Q, f ( P )≤ f ( Q ) iff P divides Q.

The following rules describe a formal language over the alphabet Σ =

The government relies on formal international economic assistance for fiscal sustainability, with over half of its annual budget coming from outside sources.

There are many formal codes of Jewish religious law that have developed over the past two thousand years.

* The ring of formal power series over a commutative ring R can be thought of as the inverse limit of the rings, indexed by the natural numbers as usually ordered, with the morphisms from to given by the natural projection.

they rejected the notion that " imperialism " required formal, legal control by one government over another country.

" As a joke, the IP over Avian Carriers formal protocol specification was created and successfully tested.

Fukuda is said to have emphasized technique over formal exercise, sowing the seeds of Kano's emphasis on in Judo.

Bush then reauthorized the operation, over formal Justice Department objections.

It also exercises political control over the cabinet through formal questioning of ministers on policy issues and by requesting a confidence debate.

The use of LDAP over SSL was common in LDAP Version 2 ( LDAPv2 ) but it was never standardized in any formal specification.

In August 1837, Van Buren denied Texas ' formal request to join the United States, again prioritizing sectional harmony over territorial expansion.

Micronations are also distinguished from imaginary countries and from other kinds of social groups ( such as eco-villages, campuses, tribes, clans, sects, and residential community associations ) by expressing a formal and persistent, even if unrecognized, claim of sovereignty over some physical territory.

In the early 1990s formal relations were again reestablished, only to be severed by Niger over the Israeli-Palestinian conflict.

In this period, a formal Ottoman government was created whose institutions would change drastically over the life of the empire.