One variation avoids the use of choice functions by, in effect, replacing each choice function with its range.

One can also consider partial binary functions, which may be defined only for certain values of the inputs.

One problem with this encode-transmit-receive-decode model is that the processes of encoding and decoding imply that the sender and receiver each possess something that functions as a codebook, and that these two code books are, at the very least, similar if not identical.

One of its most important functions was the security of revolutionary order, and the fight against counterrevolutionary activity ( see: Anti-Soviet agitation ).

One of the functions ( in this case g ) is first reflected about and then offset by t, making it.

One must also assume something about the domains of the functions involved before the equation is fully defined.

One common practice ( not discussed above ) is to handle that divergence via Dirac delta and Dirac comb functions.

One can adapt certain checksum or fingerprinting algorithms for use as hash functions.

One of the primary functions of the Ithaca Hours system is to promote local economic development.

One of its most important functions is to discover new trends and new possibilities for joint cooperation.

One way of expressing the Lie bracket is through the formalism of Lie derivatives, which identifies a vector field X with a first order partial differential operator L < sub > X </ sub > acting on smooth functions by letting L < sub > X </ sub >( f ) be the directional derivative of the function f in the direction of X.

One of the basic functions of the State in regards to administration is maintaining peace and internal order ; it has no other excuse for interfering in the lives of its citizens.

One important aspect of calculus is the project of analyzing complicated functions by means of approximating them with polynomial functions.

One obtains the value f ( r ) by substitution of the value r for the symbol X in P. One reason to distinguish between polynomials and polynomial functions is that over some rings different polynomials may give rise to the same polynomial function ( see Fermat's little theorem for an example where R is the integers modulo p ).

One of the six functions is always the dominant function in a text and usually related to the type of text.

One type of solution represents an electron moving indefinitely through the crystal as a plane wave ; the particular solutions for a periodic regular crystal lattice are called Bloch functions.

One of the primary functions of state for reigning monarchs is to recognize participant achievement through awards.

One can classify tools according to their basic functions:

One normally obtains spaces of distributions by forming the strong dual of a space of test functions ( such as the compactly supported smooth functions on R < sup > n </ sup >).

One of the main functions of political parties is to mitigate the effect of spoiler-prone voting methods by winnowing the contenders before the election.

One of the functions of the cathedral is the reading and expounding upon the Holy Scripture.

One way was greater cooperation between groups, such as the Edinburgh Missionary Conference of Protestants in 1910, the Justice, Peace and Creation Commission of the World Council of Churches founded in 1948 by Protestant and Orthodox churches, and similar national councils like the National Council of Churches in Australia which includes Roman Catholics.

One of the most widely used creeds in Christianity is the Nicene Creed, first formulated in AD 325 at the First Council of Nicaea.

One called for the Council to find means to study dishonest and inhumane uses of language and literature by advertisers, to bring offenses to public attention, and to propose classroom techniques for preparing children to cope with commercial propaganda.

One half of the Shura Council is renewed every three years.

One of the decisions made by the First Council of Constantinople ( the second ecumenical council, meeting in 381 ) and supported by later such councils was that the Patriarch of Constantinople should be given equal honor to the Pope of Rome since Constantinople was considered to be the " New Rome ".

One month later, on 20 October 1870, Pope Pius IX suspended the Council indefinitely.

One of his most important works, the Missa Papae Marcelli ( Pope Marcellus Mass ), has been historically associated with erroneous information involving the Council of Trent.

One of the last structures of the Kalmar Union, or, rather, medieval separateness, remained until 1536 when the Danish Privy Council, in the aftermath of a civil war, unilaterally declared Norway to be a Danish province, without consulting their Norwegian colleagues.

One of the most common reasons for holding this belief is the idea that the reforms of the Second Vatican Council and especially the replacement of the Tridentine Mass with the Mass of Paul VI are heretical, and that those responsible for initiating and maintaining these changes are heretics and not true popes.

One of John XXI's few acts during his brief reign was the reversal of a decree recently passed at the Second Council of Lyon ( 1274 ) that not only confined cardinals in solitude until they elected a successor Pope, but also progressively restricted their supplies of food and wine if their deliberations took too long.

One of his first official acts was to summon the Lateran Council of 649 to deal with the Monothelites, whom the Church considered heretical.

One example is the differing set of interpretations of UN Security Council Resolution 242, which calls on Israel to withdraw " from territories occupied " in the 1967 Six Day War.

The North Carolina remnants have formed bands in which they call themselves Tuscarora ; as of 2010, several bands in Robeson County have united on an interim basis as the Tuscarora Nation One Fire Council.

* Tuscarora Nation One Fire Council at Robeson County, North Carolina ( formed in 2010 from several bands in Robeson County )

In May 2010 leaders and individuals from the various Tuscarora factions in the Robeson County area came together to form the Tuscarora Nation One Fire Council ( TNOFC ).

* Tuscarora Nation One Fire Council Official

One of the most high profile decisions in recent years by one of the Councils was a decision by the Mission Council of the South Central Jurisdiction which in March 2007 approved a 99-year lease of at Southern Methodist University for the George W. Bush Presidential Library.

One of the largest in Britain, and the only surviving example, is the Mary Gordon which was built on the Thames for Leeds City Council for use on the Roundhay Park Lake.

In Hong Kong, those early think tanks established in the late 1980s and early 1990s focused on the political development including first direct Legislative Council members election in 1991 and the political framework of " One Country, Two Systems " manifested in the Sino-British Joint Declaration.

The Tyne Brewery site was bought by a consortium of Newcastle University, Newcastle City Council and the regional development agency One NorthEast, as part of the wider Newcastle Science City project.

One of the shorter documents of the Council, the decree was approved by a vote of 2, 321 to 4 of the assembled bishops, and promulgated by Pope Paul VI on October 28, 1965.

Saruman, however, reassured the Council that Sauron's evident effort to find the One Ring ( a necessary component of his resurgence ) would fail, as the Ring would long since have been carried by the river Anduin to the Sea ; and the matter was allowed to rest.

One of the main duties of the Crown is to " ensure that a democratically elected government is always in place ," which means appointing a prime minister to thereafter head the Cabinet — a committee of the Privy Council charged with advising the Crown on the exercise of the Royal Prerogative.