Sentence examples for underlying equations of the from inspiring English sources

The underlying equations of the competition assay specifically ascribe this particular graphical behavior to a defined relative ordering of two competitive decelerators that are both initially characterized as acting before or at the CLS.

This part-1 introduces the structure, principles and the underlying equations of the modular simulation system.

Non-linearities in the underlying equation-of-state definitions and thermodynamic profiles are treated using a high-order accurate numerical integration framework, designed to preserve hydrostatic balance in a non-linear manner.

Performance of the underlying equations of LandMod was assessed by comparison of predictions with those of the PNWGap model over an elevation and thinning gradient, and with field observations.

Special emphasis is placed on the connections between low Reynolds number swimming and Geometric Control Theory, and on the geometric structure of the underlying equations of motion.

The underlying equations of fluxes will not qualitatively change if we change the topology of the reaction network.

We perform a linear analysis of the underlying equations of motion for immersed fibres, and identify a discrete set of fibre modes which are associated solely with the presence of the fibre.

At the end of the 19th century, the mathematician Henri Poincaré showed that the gravitational dance of as few as three heavenly bodies was hopelessly complex to calculate, even though the underlying equations of motion seemed simple.

As stated in [8 11], the reason to study the numerical stationary distribution is to approximate the stationary distribution of the underlying equations by avoiding solving the nontrivial Kolmogorov-Fokker-Planck partial differential equation.

While it is true that apparent indeterminism can be generated if the state space one uses to analyze chaotic behavior is coarse-grained, this produces only an epistemic form of indeterminism leaving the ontological character of the underlying equations fully deterministic.

In accordance with the character of underlying equations we apply a global integral approach at the boundary and a differential approach inside the conducting domain.