As an example, we extend the notion of boundedness in Datalog for ASP, and show that it coincides with the notions of recursion-freeness and loop-freeness under program equivalence.
In the Alzheimer dataset example we extend this concept to the pathway level and show that, by comparing the pathway network of healthy versus diseased individuals we can spot pathway connections that consistently change in Alzheimer patients.
Using nuclear and mitochondrial sequence data for ray-finned fishes (Actinopterygii) as an example, we extend the utility of phylogenetic informativeness profiles to predict the time intervals when nucleotide substitution saturation results in discordance among molecular ages estimated.
For example, we have extended the quiescent interfacial method to fabricate inorganic membranes with favorable pore orientation by a new approach called counter diffusion self-assembly [41, 42].
On the basis of the initial ALK example, we then extended our analyses to broadly explore the factors influencing the cost-effectiveness of different molecular screening strategies for targeted anti-cancer drug sensitivity biomarkers in general.
Example 2 We extend our results in Example 1 to the R2 functions.
For example, can we extend the results in [20 22] to α-type contractions?
For example, if we extend the diffraction mode to the Nth order, the range of phase should cover from 0 to N × 2π and from N × 2π to 0 with a phase difference of N × 2π/13 and −N × 2π/13 between two neighboring nanobricks for X- and Y-polarized transmitted light, respectively.
For example, we can extend our method to support priority-based applications simultaneously through introducing an enhanced mechanism.
In the case of Japanese and Korean publications, for example, we could extend with international co-authorship relations as another (fourth) dimension.
