It is now necessary to define an approximation for the second boundary condition of (1.2).
For this purpose, a cost-to-go function is defined, an approximation of which is constructed hy using simulation or historic operation data.
The paper presents a formal model of nearly decomposable decision-making problems, NED-MDPs, and defines an approximation algorithm, NED-DECOP that computes efficient information exchange strategies.
Dilating operation and chirping operation in (V_{j}^{M}) enlarge the detail and condition (3) guarantees that it defines an approximation at a coarser resolution 2−j−1.
We define an approximation function of u as u h ( x ) = 1 h ∫ − ∞ ∞ δ ( x − y h ) u ( y ) d y, h > 0. (27).
Recall a strongly elliptic bilinear form A i α on R n N with an ellipticity constant λ > 0, and upper bound Λ > 0 means that λ | p ˜ | 2 ≤ A i α ( p ˜, p ˜ ), A i α ( p, p ˜ ) ≤ Λ | p | | p ˜ |, ∀ p, p ˜ ∈ R n N, we define A-caloric approximation function.
Assigning a single crisp number to a fuzzy set, defining an interval as an approximation of a fuzzy set, defining distance function and solving an optimization problem in order to obtain a trapezoidal fuzzy set as a nearest approximation are among the most well-known ones.
Now, we define an explicit approximation method for multivalued nonexpansive mappings.
The above representation can be used to define an integer approximation of the DCT.
An important step in response surface modeling is to define an appropriate approximation for the actual relationship between the response and the set of independent variables [10].
