Assuming to have approximations x h (t j ), j = 1,2, ···, n and we want to obtain x h (t n +1) by means of the equation: (12).
In particular, we must show that the approximations {bar{Y}}_{t}=u t,X_{t},{bar{vartheta}}_{t}),qquad quad {bar{Z}}_{t}=u'_{x} t,X_{t},{bar{vartheta}}_{t}),sigma ({bar{vartheta}}_{t},t,X_{t}) are in some sense asymptotically optimal, i.e., it is impossible to have approximations of these processes with asymptotic errors smaller than that of ({bar {Y}}_{t} ) and ({bar {Z}}_{t}).
Then, UMPR is proved to have an approximation factor of 2. Furthermore, it is concluded that UMPR could not have a smaller approximation factor than 2, which means 2 is the approximation ratio of UMPR for the two-uniform-machine scheduling problem.
During our simulations with bursty data arrivals, we noticed that it is interesting to have an approximation that has only one or two unit fractions.
In particular, on instances drawn from the rectilinear (respectively Euclidean) plane, the MST heuristic is shown to have tight approximation factors of 3, respectively 4.
The new rule will need to have an approximation for its support, confidence and (chi ^2), as it is too expensive to reconstruct the exact ones in this phase.
To have an approximation of what could be the scenario of the reactivity of the cellular immune response against Env during the natural HIV infection, we analyzed the Env-specific response in a subgroup of HIV-infected persons from a cohort of individuals enrolled during seroconversion to HIV and under longitudinal follow-up.
In a single-layer feed-forward (SLNN), the non-linear activation functions in the hidden layer enable a NN to have universal approximation ability, giving it great potential and flexibility in terms of capturing complex patterns.
26, 27 The computational methods used here led us to have an approximation of a rational drug design for the treatment of autoimmune diseases because of its exact and fast analysis, 28– 30 when compared to the complexity and high cost of the experimental procedures, and low information availability.
The graph gives the symmetry and compactly supported refinable function corresponding to the mark (tau^{16,3,0.01}_{0}(omega)), which has approximation order 8 and decay rate 20.8651.
