Von Kármán non-linear strain displacement relationships are applied to take into account the effect of large displacements.
Correlation coefficients and mutual information, which are effective for assessing the dependence relationships, are applied to judge whether the stochastic IES model is correct.
It is shown that the error dynamics is represented by a nonlinear non-Gaussian stochastic system, for which new relationships are applied to formulate the PDFs of the stochastic error in terms of PDFs of the noises and faults.
To estimate rate constants during automatic mechanism generation for heterogeneous catalytic reactions, linear free energy relationships were applied using heat of reaction as the reactivity index, and theoretical approaches were used to estimate activation energies and preexponential factors.
"Material" relationships are applied to relations that depend on a mediator element to exist.
Overall, the RBALP relationships applied to the SBRC gastric results yielded more conservative bioavailability predictions than when the SBRC relationships were applied to the relative intestinal results [112].
Similarly, woody debris pieces are measured along transects using line intersect sampling and allometric relationships are applied to find biomass (Brown 1971).
For this analysis, the population ecology concepts of symbiotic relationships are applied, producing the discovery that research-driven alliances have evolved a self-organizing structure of influential paths.
Reported family relationships were verified using the computer program PREST [ 23], based on autosomal genotype data, and corrections to the familial relationships were applied where required.
The most current and well-supported topology of subgeneric, sectional relationships was applied to present genome size estimates in the context of reported chromosome counts, karyotypes, putative phylogenetic relationships, observed phenotypes and pedigree.
