In addition, the mathematical expression established provides a basis for analysis and hence control of the coagulation process and for its possible extension for industrial applications.
The correlation is much easier to implement than a computational model based on the coupled conservation equations of mass, energy, and momentum for the two phases, and it offers a single mathematical expression that provides valuable insight into how the roles of diffusive and convective transport change with physical and geometrical parameters.
NormFinder, whose strategy is rooted in a mathematical model of gene expression, provides a ranking of the tested genes based on a direct measure of both overall expression variation and the variation between sample subgroups of candidate reference genes.
Based on the kinetic theory of gases, the mathematical expression is provided for interfacial entropy generation, which shows proportional to the magnitude of boundary velocity slip and temperature jump.
The orthogonal blocks containing pairs of Latin squares provide mathematical expression for the information matrix (X^{prime}X) in terms of the symbols (a,b,c, ldots) Using any optimal criteria, we can determine the optimal values of (a,b,,cc, ldots) Prescott (1998) discussed the re-parameterization of co-ordinates of points in a mixture region and constructed nearly D-optimal designs.
While cell division is intuitively simple and clear from a morphological perspective, a mathematical expression is necessary to provide a usable description of propagation of an individual cell during a clone lifetime.
In order to facilitate the design process, mathematical expressions have been provided showing the relationships among the area of single granule, the number of the external connections, the area of the reconfiguration multiplexers and the probability of failure of the system.
The detailed mathematical expressions will be provided under Methods.
His biographer Walter Isaacson points out that Einstein's success thus far had "been based on his special talent for sniffing out the underlying physical principles of nature", leaving to others the more mundane task of providing the best mathematical expression.
