By the continuity of on, the above inequality means that there exists a lower bound of values of functional.
The filter-dependent cutoff thresholds are estimated on the training set, by computing the upper bound of values, under the constraint, for all, where is the subset of the training corpus emitted by state.
Furthermore, in each Cj, there is an index value (R_mathrm{LO}) and (R_mathrm{HI}), which marks the lowest and highest bound of distance value [17].
Now, we present a lower bound of the value of α ∗.
Usually either the most severe health state or dead state is the least valued state and hence decides the lower bound of utility values [ 3].
The other exposures ranked within the top percentile, ranging from 15 to 19; the lower bound of p-values were between 10-6 and 0.01 and q-values less than 0.1.
Herein, G V (G R) is Voigt's (Reuss's) shear modulus corresponding to the upper (lower) bound of G H values.
Some studies [ 4, 22, 23] have normalized the Resnik approach by using either the possible upper bound of IC values [ 23], referred to as the Nunif strategy, or the highest IC score, referred to as the Nmax strategy, in the ontology under consideration [ 4, 22].
The upper bound and lower bound of the objective value are obtained by solving the pair of geometric programs.
A pair of two-level mathematical programs is formulated to obtain the upper bound and lower bound of the objective values.
