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.

The group conducting the review is not holding formal hearings.

So far as the existing body of formal principle and procedure is concerned, categorical novelties are not to be anticipated in Jewish-Gentile relationships ; ;

It is not implied that formal principles and procedures are so firmly entrenched within the public order of the world community or even of free commonwealths that they will control in all circumstances involving Jews and Gentiles during coming years.

The formal position of Americans who identify themselves with one or more of the several identities of the Jewish symbol is already clear ; ;

The third Act of Faust 2, is a formal celebration of the union between the Germanic and the classic, between the spirit of Euripides and that of romantic drama.

There is no formal equivalence to the supervisory ranks ; ;

A second major point of this essay is to examine the formal arrangements for the elections.

Whereas Bultmann's `` center '' position is structurally inconsistent and is therefore indefensible on formal grounds alone, the general position of the `` right '', as represented, say, by Karl Barth, involves the rejection or at least qualification of the demand for demythologization and so is invalidated on the material grounds we have just considered.

With the Prior Analytics, Aristotle is credited with the earliest study of formal logic, and his conception of it was the dominant form of Western logic until 19th century advances in mathematical logic.

The formal ceremony at which the Awards of Merit are presented is one of the most prominent award ceremonies in the world, and is televised live in more than 100 countries annually.

The difference is not a formal one taxonomically and there are numerous exceptions to this rule.

A trial de novo is usually available for review of informal proceedings conducted by some minor judicial tribunals in proceedings that do not provide all the procedural attributes of a formal judicial trial.

After an appeal is heard, the " mandate " is a formal notice of a decision by a court of appeal ; this notice is transmitted to the trial court and, when filed by the clerk of the trial court, constitutes the final judgment on the case, unless the appeal court has directed further proceedings in the trial court.

Arraignment is a formal reading of a criminal complaint in the presence of the defendant to inform the defendant of the charges against him or her.

Affirming the consequent, sometimes called converse error, is a formal fallacy, committed by reasoning in the form:

This force is used in the formal definition of the ampere, which states that it is " the constant current that will produce an attractive force of 2 × 10 < sup >– 7 </ sup > newton per metre of length between two straight, parallel conductors of infinite length and negligible circular cross section placed one metre apart in a vacuum ".

While there is no generally accepted formal definition of " algorithm ," an informal definition could be " a set of rules that precisely defines a sequence of operations.

That notion is central for explaining how formal systems come into being starting from a small set of axioms and rules.

amator, " lover ") is generally considered a person attached to a particular pursuit, study, or science, without pay and often without formal training.

Since amateurs often do not have formal training, some amateur work may be considered sub-par.

This kind of formal English, particularly written English, is often called " standard English ".

The surname of the Archbishop of Canterbury is not always used in formal documents ; often only the first name and see are mentioned.

In many jurisdictions the approaches of each system are often formal differences in the way cases are reviewed.

Bill Haley recorded prolifically during the 1940s, often at the radio stations where he worked, or in formal studio settings.

The process of writing source code often requires expertise in many different subjects, including knowledge of the application domain, specialized algorithms and formal logic.

Some Modern Orthodox leaders cooperate and work with the Conservative movement, while haredi (" Ultra-Orthodox ") Jews often eschew formal contact with Conservative Judaism, or at least its rabbinate.

Proofs in computability theory often invoke the Church – Turing thesis in an informal way to establish the computability of functions while avoiding the ( often very long ) details which would be involved in a rigorous, formal proof.

In addition, those German prepositions that require the genitive in formal language, tend to be used with the dative in contemporary colloquial German ; for example, " because of the weather " is often expressed as " wegen dem Wetter " instead of the formally correct " wegen des Wetters ".

If a distinction is to be made between divination and fortune-telling, divination has a formal or ritual and often social character, usually in a religious context, as seen in traditional African medicine ; while fortune-telling is a more everyday practice for personal purposes.

The negotiations, once details of them were published, were often described by opponents of Vermont statehood as treasonous, but no such formal charges were ever laid against anyone involved.

In an English-speaking context, family names are most often used to refer to a stranger or in a formal setting, and are often used with a title or honorific such as Mr, Mrs, Ms, Miss, Dr, and so on.

In computer science, formal languages are often used as the basis for defining programming languages and other systems in which the words of the language are associated with particular meanings or semantics.

An alphabet, in the context of formal languages, can be any set, although it often makes sense to use an alphabet in the usual sense of the word, or more generally a character set such as ASCII.

In computer science and mathematics, which do not usually deal with natural languages, the adjective " formal " is often omitted as redundant.

By an abuse of the definition, a particular formal language is often thought of as being equipped with a formal grammar that describes it.

As with all formal languages, the nature of the symbols themselves is outside the scope of formal logic ; they are often regarded simply as letters and punctuation symbols.

* Computer algebra systems such as Mathematica and Maxima can often handle irrational numbers like or in a completely " formal " way, without dealing with a specific encoding of the significand.