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 functions of the Council is to keep the coffers of the king full.

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 high-up camera shot is magnificent, as the Germans straggle from a cathedral, dotting a huge, cobblestone square, and drop their weapons.

One of the most famous Imperial coronation ceremonies was that of Napoleon, crowning himself Emperor in the presence of Pope Pius VII ( who had blessed the regalia ), at the Notre Dame de Paris | Notre Dame Cathedral in Paris. The painting by Jacques-Louis David | David commemorating the event is equally famous: the gothic cathedral restyled Empire ( style ) | style Empire, supervised by the Letizia Ramolino | mother of the Emperor on the balcony ( a fictional addition, while she had not been present at the ceremony ), the pope positioned near the altar, Napoleon proceeds to crown his then wife, Joséphine de Beauharnais as Empress.

One ordered the Bishop of Chełmno to crown Mindaugas as King of Lithuania, appoint a bishop for Lithuania, and build a cathedral.

One of the entrances of Cologne cathedral, which was praised in Ansichten vom Niederrhein.

One legend tells that, prior to the arrival of Henry's commissioners, the monks covertly removed Cuthbert's body from the cathedral, reburying it in a secret location within the grounds of Crayke Abbey.

One of the unusual features of Chartres cathedral is the speed with which it was built – a factor which helped contribute to the consistency of its design.

One of the few elements to survive from the mid-12th century church, the Portail Royale was integrated into the new cathedral built after the 1194 fire.

One of the 48 public fountain s with the cathedral in background.

One year later, Ivan ordered construction of a new stone cathedral on the site of Trinity Church that would commemorate his campaigns.

One of the hospitals was founded by the famous Capuchin philanthropist, Theodosius Florentini ( 1808 – 1865 ), who was for a long time the Romanist cure of Coire, and whose remains were in 1906 transferred from the cathedral here to Ingenbohl ( near Schwyz ), his chief foundation.

One of these chapels, St. Gertrude's, later became the principal cathedral of the Old Catholic archbishop of Utrecht.

One such cathedral with an altarpiece triptych is Llandaff Cathedral.

One can be seen on the spire of Sainte-Croix cathedral at Orléans, in the Loire valley.

One of them now stands in Mainz ’ s cathedral square, a gift to the city on the occasion of the cathedral ’ s thousandth anniversary in 1975.

One of the canons became priest of Chatham and acquired sufficient money to make a gift to the cathedral for the soul and burial of his wife, Godgifu.

One of the buildings was the first Albertina University building, where Immanuel Kant taught, which was situated next to the east side of the cathedral.

One problem during the reconstruction was the subsidence of the cathedral which had happened over time.

One of the most breathtaking views is inside the cathedral, namely the iconostasis that separates the altar from the nave area of the cathedral, which stands almost the height of the interior space.

One cathedral was completed to his design: St David's, Hobart in Tasmania ( first design, 1865 ; revised 1891 ; building completed 1936 ).

One of Fouquet's most important paintings is " Melun Diptych " ( c. 1450 ), formerly in Melun cathedral.

One of the most notable of the pre-reformation Bishops of Hereford, who left his mark upon the cathedral and the diocese, was Peter of Aigueblanche, also known as Bishop Aquablanca, who rebuilt the north transept.

One is Eastern Orthodox, the cathedral on Arbuthnot Road of the ecumenical patriarchate of the Orthodox Metropolitanate of Hong Kong and Southeast Asia, and the last is the Roman Catholic Immaculate Conception Cathedral.