Yet still, the phase of the extremal function serves as an approximation of the physiological phase function on the interval in which the the absolute value is relevant.
where ({bar {R}} tau _{ms})) is the optimal objective value of (8), serving as an approximation to R(τ ms ).
It was also estimated that the configuration of a novel Carberry type photoreactor with 12 fastened TiO2 slides shows nearly 4 times (3.8 times) higher photocatalytic activity compared to the configuration with two TiO2 slides (with the comparable surface density of immobilized TiO2), serving as an approximation of a classic plain thin-film fixed-bed reactor.
At its peak, there were over 500 Wimpys in the UK and one on every high street in every major city, all of them serving a very British approximation of what hamburgers should be: more football stadium burger van than Texan dirty food sudden death.
Perhaps more importantly, our generative model ultimately serves as an approximation for the physical process that yielded the observed measurements.
The model results show that boundary layer reaction influences the heat transfer coefficient associated with a char that is burning within a fluidized bed, and that any correlations which do not explicitly account for this may only serve as an approximation.
The unit-length vector v 1, i.e., the first right singular vector, maximizes the Euclidean norm ∥A v∥2 and can hence be seen as the vector with unit length which undergoes the maximum amplification under A. Thus, v 1 serves as a crude approximation of the directions of the columns of A. Similarly, u 1 maximizes ∥A T u∥2 and serves as an approximation of the row-directions.
Therefore, the popular model of independent random effect is unlikely to serve a good approximation to the aggregated signals.
In the latter case, a tree is generated that may serve as an approximation to the original network.
In this section, our approach is to derive a tight upper bound for the expectation in (13) which can serve as an approximation to the ergodic capacity.
