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 ".

Giving a formal definition of algorithms, corresponding to the intuitive notion, remains a challenging problem.

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.

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.

The formal definition and the distinction between pointwise continuity and uniform continuity were first given by Bolzano in the 1830s but the work wasn't published until the 1930s.

* Church, along with mathematician Stephen Kleene and logician J. B. Rosser created a formal definition of a class of functions whose values could be calculated by recursion.

By 1963 – 4 Gödel would disavow Herbrand – Gödel recursion and the λ-calculus in favor of the Turing machine as the definition of " algorithm " or " mechanical procedure " or " formal system ".

In a few years ( 1939 ) Turing would propose, like Church and Kleene before him, that his formal definition of mechanical computing agent was the correct one.

The formal definition of ' two natures ' in Christ was understood by the critics of the council at the time, and is understood by many historians and theologians today, to side with western and Antiochene Christology and to diverge from the teaching of Cyril of Alexandria, who always stressed that Christ is ' one '.

For example, in formal languages like mathematics, a ' stipulative ' definition guides a specific discussion.

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

Then the equivalence class of the pair can be identified with the rational number, and this equivalence relation and its equivalence classes can be used to give a formal definition of the set of rational numbers.

This definition of potential, while formal, has little practical application, and a more useful concept is that of electric potential difference, and is the energy required to move a unit charge between two specified points.

Functional programming has its roots in lambda calculus, a formal system developed in the 1930s to investigate function definition, function application, and recursion.

While formal language theory usually concerns itself with formal languages that are described by some syntactical rules, the actual definition of the concept " formal language " is only as above: a ( possibly infinite ) set of finite-length strings, no more nor less.

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

According to McBrien, the majority of the bishops were not so much interested in a formal definition of papal infallibility as they were in strengthening papal authority and, because of this, were willing to accept the agenda of the infallibilists.

Kasner decided to adopt a more formal definition " because different people get tired at different times and it would never do to have Carnera be a better mathematician than Dr. Einstein, simply because he had more endurance and could write for longer ".

The notion of a homomorphism can be given a formal definition in the context of universal algebra, a field which studies ideas common to all algebraic structures.

A new definition of hypnosis, derived from academic psychology, was provided in 2005, when the Society for Psychological Hypnosis, Division 30 of the American Psychological Association ( APA ), published the following formal definition:

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:

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

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:

It is called the mercy rule because it spares the losing team the humiliation of suffering a more formal loss, and denies the winning team the satisfaction thereof, and prevents running up the score, a generally discouraged practice in which the opponent continues to score beyond the point when the game has become out of hand.

Such reactions involve the formal transfer of electrons, a net gain in electrons being a reduction and a net loss of electrons being an oxidation.

The term of the States-Provincial and the municipal council is four years, unless formal law determines otherwise ( Subarticle 4 ) Law determines possible incompatibilities of function, and may determine that family ties, marriage or the commission of acts indicated by such law may lead to a loss of membership ( Subarticle 5 ).

Modern elements of tribute are restricted to highly formal and ceremonial rituals, such as: formal gifts being given to prove either fealty or loyalty upon the inauguration of a president ; a wedding of a president's child while the president is in office ; the accession or the marriage of a member of a royal family ; and even in those show business marriages that are largely staged, where studios, banks, and other stars prove their loyalty through expensive gifts in the hope of future benefits, which if not given will result in loss of business.

For the tribes involved the it left a legacy of sadness and bitterness at the loss of their mana, which was partly assuaged 132 years later when in 1995 the Waikato Tainui people received compensation amounting to $ 171 million from the New Zealand government, the return of some further valuable land, and a formal apology from HM Queen Elizabeth II.

The term finds its formal definition in combinatorial game theory, where it specifically means that it directly changes the outcome of the game from a win to a loss.

Despite this fighting formal war wasn't declared in Europe until 1756 and opened with a French attack on Minorca, the loss of which was blamed on Admiral John Byng who was court-martialled and executed.

With the emergence of an externally consistent green economics and agreement on definitions of potentially contentious terms such as full-cost accounting, natural capital and social capital, the prospect of formal metrics for ecological and social loss or risk has grown less remote through the 1990s.

According to the IPCC, they are thus obliged to pay 15 times more per life to avoid a loss of each such life to climate change — the Kyoto Protocol seeks to implement exactly this formula, and is therefore sometimes cited as a first step towards getting nations to accept formal liability for damage inflicted on ecosystems shared globally.

Within legal civil procedure, prejudice is a loss or injury, and refers specifically to a formal determination against a claimed legal right or cause of action.

A fairly broad definition of the time of the Nicaraguan revolution would be from the formal founding of the FSLN in 1961, to its 1990 election loss to Violetta Barrios de Chamorro and the Unión Nacional Opositora which marked the end of its first period in power.

' Moreover the resolution declared that ' In the interests of the international revolution, we consider it expedient to consent to the possible loss of the Soviet power, which has now become purely formal.

There was a genuine and widespread sense of loss and mourning amongst ordinary Germans when she died and her funeral was marked by much spontaneous public grieving, as well as the more formal rituals of the Prussian State.

Optic neuritis may manifest as visual impairment with decreased visual acuity, although visual field defects, or loss of color vision may occur in isolation or prior to formal loss of acuity.

Palatucci filed formal complaints about the complete loss of authority of the Italian officers.

Despite their loss of formal title and privileges, they enjoy public support in the area ( comprising the former Seraikella state ).

The Hellenic Navy suffered its first loss of the war on 15 August 1940 ( two months before the formal outbreak of hostilities ) when the cruiser Helli was sunk, apparently by an Italian submarine.

In January 2004, Spacehab filed a formal claim against NASA for the amount of $ 87. 7 million for the loss caused by the Columbia accident.

After his final match against for Cronulla, ironically a loss to Souths, played in wet conditions at night, Peachey left the formal farewell celebrations early to meet with his loyal fans who were waiting in the rain outside the dressing rooms.