This algorithm, for all strings, allows codes as short as allowed by any other algorithm up to an additive constant that depends on the algorithms, but not on the strings themselves.
22.
The potential energy and hence also the electric potential is only defined up to an additive constant : one must arbitrarily choose a position where the potential energy and the electric potential are zero.
23.
Families of curves appear frequently in solutions of differential equations; when an additive constant of integration is introduced, it will usually be manipulated algebraically until it no longer represents a simple linear transformation.
24.
The initial recurrence relation you give is, aside from an initial additive constant " L " 0, the " Quondum " 11 : 48, 15 September 2012 ( UTC)
25.
Both are essentially the same, except that the classical thermodynamic ideal gas is based on classical statistical mechanics, and certain thermodynamic parameters such as the entropy are only specified to within an undetermined additive constant.
26.
For example, the approximation ratio achieved by the graph is optimal to within any additive constant assuming the unique games conjecture and "'P "'` " "'NP " '.
27.
U depends only on the choice of the point A, which is the same as saying U is uniquely defined up to an arbitrary additive constant . talk ) 09 : 32, 27 November 2010 ( UTC)
28.
Where the last inequality follows because action \ alpha ( t ) comes within an additive constant C of minimizing the preceding expression over all other actions in the set A, including \ alpha ^ * ( t ).
29.
The " absolute " entropy ( rather than ) was defined later, using either statistical mechanics or the third law of thermodynamics, an otherwise arbitrary additive constant is fixed such that the entropy at absolute zero is zero.
30.
The definition of an hyperbolic space in terms of the Gromov product can be seen as saying that the metric relations between any four points are the same as they would be in a tree, up to the additive constant \ delta.
