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Apparently, since the molecular dimension of reaction product enlarged during the reaction, JMA equation was introduced to simulate the process, and Avrami exponent exhibited the disassociation of asphaltenes with temperature.
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So, Eq. (1) was simplified to mathop sum limits_{text{j}} {text{a}}_{ij} cdot {text{f}}_{j} = {text{r}}_{i} (2)or A ; times ; F; = ; r, (3)where A, m × n matrix of stoichiometry; F, n dimensions vector of reaction rate; and r, m dimension vector of metabolite specific rate.
One advantage of this approach, compared to state feedback, is that the dimension of the reaction and control variant space usually is smaller than the dimension of the state space of the reactor.
We propose that an enzyme-catalyzed reaction is best described by a large, three-dimensional potential energy surface, defined by the number of enzyme conformers in one dimension, the number of reaction steps as the second and Gibbs free energy as the third.
Microreactors (MRs) truly inherit their tremendous properties from the dimensions of the reaction environment and their advantages cannot be overemphasized.
Because biomarkers are investigated within a localized area among whole tissue in this approach, as in tissue microarray (TMA), the dimensions of the reaction channels were considered with the human breast tumor sample size in diameter and the partial area representing a tissue result.
The dimension of the independent reaction subset was equal to the degrees of freedom in the calculation of integrated fluxes (IF) from concentration data.
The Dimensions of Anger Reactions-5 (DAR-5), as a concise measure of anger, was designed to meet such a need, its brevity minimizing the burden on client and practitioner.
Support for the clinical cut-point score of 12 suggested by Forbes et al. (2014, Utility of the dimensions of anger reactions-5 (DAR-5) scale as a brief anger measure.
It is all in the attitude" (Wittgenstein 1966, 35), where we would then focus, to the exclusion of all of the rest of the intricate, layered, and complex human dimensions of our reactions to works, solely on an analysis of the attitude of the spectator and the isolable causal elements in the work that determine it.
Nurses and field workers received bedside training on identification of common clinical signs, assessment of intensity, and measurement of dimensions of local reactions.
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