Our simulations show that is not a rigorous linear dependence between the density response and the total integrated energy.
However, rigorous approaches to quantify dependence structures among extreme values in space and time have not been reported in the literature.
These handy relations should guide system designer in designing hyperbolic microlens directly on the tip of such fiber carrying the information signal with no need of dependence on rigorous methods to estimate the optimum back focal length.
Such simplified models are desirable because a completely rigorous explanation of the dependence of surfing probability on a full range of demographic and genetic parameters currently appears unobtainable.
These multiple stages of rigorous validation confirmed the dependence of Stem-A celinesnes on TUBGCP4 and NAT10 in cell growth and ensured that this effect was not limited to PA-1 cells.
While not all datasets allow a rigorous classification of abuse or dependence, opioid users are identified in the data by virtue of the health or treatment consequences of their opioid abuse, dependence, or poisoning, and are thus all potential candidates for drug services [ 20, 21].
Rigorous convergence conditions are presented in dependence of the sensor location and reactor parameters in terms of the dominant eigenvalues of the modified linear transport operators and the Lipschitz constant of the reaction rate.
Even though constraint-based methods are developed with a rigorous theoretical foundation, errors in conditional dependence and independence will affect the stability of constraint-based methods and this problem is especially serious when the number of samples is small.
From a statistical point of view these tests are not entirely rigorous, as they do not take into account the inter-dependence between the data points derived from overlapping pairs of species.
LWDS-11 benefited from a rigorous development and validation processes and is the only instrument that measures dependence.
