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.

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 company grew out of efforts by two completely inexperienced men in their late twenties, neither having a formal education applicable to, or experience in, manufacturing or selling our type of articles.

The result was that I found myself in the ridiculous position of having made a formal engagement by letter for the next week, only two days before my departure from London.

No formal charges have been filed as a result of either of the two reported incidents.

In coupling reactions a metal catalyses a coupling between two formal radical fragments.

The choice between the two definitions usually matters only in very formal contexts, like category theory.

Immediately after the election the two groups reunited, though Lloyd George declined to play much of a formal role in his old party.

* Bands ( neckwear ), two pieces of cloth fitted around the neck as part of formal clothing for clergy, academics, and lawyers

A PAS is a living document and after two years the document will be reviewed and a decision made with the client as to whether or not this should be taken forward to become a formal British standard.

Hussein learned of the agreement when it was leaked by the new Russian government in December 1917, but was satisfied by two disingenuous telegrams from Sir Reginald Wingate, High Commissioner of Egypt, assuring him that the British government's commitments to the Arabs were still valid and that the Sykes-Picot Agreement was not a formal treaty.

It has a molecular mass of 60. 01 daltons and carries a negative two formal charge.

The agreement outlined a formal coalition consisting of two opposition parties, the Liberal Party and the New Democratic Party.

There are two other key organs of political power in the People's Republic of China: the formal government and the People's Liberation Army.

These two " Official Declarations " are not revelations, but they serve as the formal announcements that a revelation was received.

Aside from Eugene Onegin, Hofstadter has translated many other poems ( always respecting their formal constraints ), and two other novels ( in prose ): La Chamade ( That Mad Ache ) by French writer Françoise Sagan, and La Scoperta dell ' Alba ( The Discovery of Dawn ) by Walter Veltroni, the then head of the Partito Democratico in Italy.

The first ships to bear the formal designation " torpedo boat destroyer " ( TBD ) were the Daring class of two ships and Havock class of two ships of the Royal Navy, developed in 1892 under the newly appointed Third Sea Lord Rear Admiral " Jackie " Fisher.

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

MWI is distinguished by two qualities: it assumes realism, which it assigns to the wavefunction, and it has the minimal formal structure possible, rejecting any hidden variables, quantum potential, any form of a collapse postulate ( i. e., Copenhagenism ) or mental postulates ( such as the many-minds interpretation makes ).

In addition to the formal structure of the ELDR Party, there are convened at least two Political Leaders ' Meetings a year in order to exchange views on the items on the agenda of the European Council and more general views on the European political situation.

* 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 formal discovery of the element was made in 1895 by two Swedish chemists, Per Teodor Cleve and Nils Abraham Langlet, who found helium emanating from the uranium ore cleveite.

Using the biblical Book of Revelation as a point of departure, Caesar Antichrist presents a parallel world of extreme formal symbolism in which Christ is resurrected not as an agent of spirituality but as an agent of the Roman Empire that seeks to dominate spirituality.

Also, some may argue that the word " Messiah " can be a formal title for Jesus Christ, but the meaning " anointed " can be attributed to others, such as King David, anointed to kingship, and his son Solomon.

Its formal title is the Cathedral and Metropolitical Church of Christ at Canterbury.

The formal reorganization occurred on April 6, 1860, in Amboy, Illinois, as the Church of Jesus Christ of Latter Day Saints, adding the word Reorganized to the church name in 1872.

The first part of the grace is read by a scholar or exhibitioner of the House before formal Hall each evening, ending with the words Per Iēsum Christum Dominum nostrum (" Through Jesus Christ our Lord.

* Christ Church had formal precedence, as the mother and senior cathedral of the diocese

* Christ Church had formal precedence, as the mother and senior cathedral of the diocese

( Nearby Christ Church Cranbrook remains outside this formal structure.

The Disciples favored college-educated clergy, while the Churches of Christ discouraged formal theological education because they opposed the creation of a professional clergy.

" A formal break was made from the mainline Churches of Christ in 1993 with the organization of the International Churches of Christ.

Constantine himself had not given the work a name, preferring instead to start the text with the standard formal salutation: " Constantine, in Christ the Eternal Sovereign, Emperor of the Romans, to own son Romanos the Emperor crowned of God and born in the purple ".

Other churches, such as Churches of Christ or the Plymouth Brethren reject formal ties with other churches within the movement.

Sola scriptura is sometimes called the formal principle of the Reformation, since it is the source and norm of the material principle, the gospel of Jesus Christ that is received sola fide (" through faith alone ") sola gratia ( by God's favor or " grace alone ").

With the exception of the Separate Baptist in Christ, the denominational name Separate Baptist disappeared in many area of the country with the formal and informal agreements of union between the Regular Baptists and Separate Baptists, beginning in Virginia in 1787, in the Carolinas in 1789, and in Kentucky in 1797 & 1801.

In the Community of Christ, formerly the Reorganized Church of Jesus Christ of Latter Day Saints ( RLDS ), the president of the church's formal title is the Prophet – President.

The Nativity of Christ is a three-day celebration: the formal title of the first day is " The Nativity According to the Flesh of our Lord, God and Saviour Jesus Christ ", and celebrates not only the Nativity of Jesus, but also the Adoration of the Shepherds of Bethlehem and the arrival of the Maji ; the second day is referred to as the " Synaxis of the Theotokos ", and commemorates the role of the Virgin Mary in the Incarnation ; the third day is known as the " Third Day of the Nativity ", and is also the feast day of the Protodeacon and Protomartyr Saint Stephen.

Bernard's formal education began at Westminster in 1725, and he then spent seven years at Oxford, where Christ Church granted him a master of arts in 1736.

A formal break was made from the mainline Churches of Christ in 1993 with the organization of the International Churches of Christ.

The art critic Lucy R. Lippard has presented a constructive case for the formal value of Serrano's Piss Christ, which she characterizes as mysterious and beautiful.