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

One might expect some spread of the disease in this case resulting in increased effectiveness of the attack.

One of the A.L.A.M. lawyers observed that if the Selden case had been tried under this simplified procedure, the testimony which filled more than a score of volumes, `` at a minimum cost of $1 a page for publication alone, could have been contained in one volume ''.

One year the Department collected a file of case histories to document its argument that men in the field were paying the government's entertainment bills out of personal income.

`` One shouldn't mix commercial affairs with patriarchy, but in this case I have no choice.

He declines to solve a case for the Home Secretary because he is retired in Chapter One of Peril at End House ( 1932 ).

One reason that financial officials were elected was that any money embezzled could be recovered from their estates ; election in general strongly favoured the rich, but in this case wealth was virtually a prerequisite.

One of the things the court has to do is figure out how to answer new questions, and that is what happened in this case.

One play, The Demi-Virgin in 1921, prompted a court case because of its suggestive subject matter, including a risque game of cards, " Stripping Cupid ", where a bevy of showgirls teased the audience in their lingerie.

One case involved Eli Lilly and Company's antipsychotic Zyprexa, and the other involved Bextra.

One possible derivation is from the proto-Germanic word * bastjan ( from Proto-Indo-European root word * b < sup > h </ sup > as ) means " binding " or " tie ".< ref > Köbler * b < sup > h </ sup > as </ ref > In this case, Bastarnae may have had the original meaning of an alliance or bund of tribes.

One reason for the popularity of the dissociation constant in biochemistry and pharmacology is that in the frequently encountered case where x = y = 1, K < sub > d </ sub > has a simple physical interpretation: when = K < sub > d </ sub >, = or equivalently /(+)= 1 / 2.

One can express the divergence as a particular case of the exterior derivative, which takes a 2-form to a 3-form in R < sup > 3 </ sup >.

One such situation seems to be evident in a recent case concerning alleged YMCA discrimination and a Federal Court Case in Texas.

One such ultimately disastrous case was Schleyer's Volapük.

One consequence of this theory is a variable speed of light, where photon speed would vary with energy, and some zero-mass particles might possibly travel faster than c. However, even if this theory is accurate, it is still very unclear whether it would allow information to be communicated, and appears not in any case to allow massive particles to exceed c.

* Efforts to improve fairness by reducing first-move advantage include the rule of swap, generalizable as " swap -( x, y, z )" and characterizable as a partially compounded and partially iterated version of the pie rule (" one person slices ; the other chooses "): One player places on the board x stones of the first-moving color and a lesser number y stones of the second-moving color (" slicing " in the pie metaphor ); the other player is entitled to choose between a ) playing from the starting position, in which case the selecting player is also entitled to choose which color to play, and b ) placing z ( usually-y ) + 1 ) more stones on the board at locations of that player's choice (" reslicing " in the pie metaphor, with limitations created by the board's existing setup akin to limitations arising from the existing slices in the pie ), in which case the former player is entitled to choose which color side to play.

The case, Chilvers, Hayling, and a replica of Chilvers ' original board were featured on an episode of the BBC's The One Show in 2009.

One final form of limiting case wear is, unfortunately, limited strictly to benchrest shooters with custom-cut chambers.

One solution that is applicable to revolvers in particular is the possibility of using a reduced-volume case.

One confusing aspect is that medications that lower the immune response do not improve sIBM symptoms, as would be expected in the case of an autoimmune disorder.

( One aspect of the best fakes is the lingering doubt that, possibly, there is some authenticity behind them – as is the case with Kosinski.

One of the last trials-by-jury in Malaysia was the notorious Mona Fandey case in 1994.

One month following its conclusion, a similar agreement, General Act for the Pacific Settlement of International Disputes, was concluded in Geneva, which obliged its signatory parties to establish conciliation commissions in any case of dispute.