Sentence examples for boundaries were derived from inspiring English sources

The leakage factor boundaries were derived in Eq. (47).

Solubilization and saturation boundaries were derived from the inflection points in these isotherms with the aid of nonlinear least-squares fitting.

The model geometry and tissue boundaries are derived from magnetic resonance imaging (MRI).

The analysis has been developed using the impedance approach, and stability boundaries are derived in various parameter planes.

The unstable boundaries are derived as closed-form expressions of basic parameters.

Exact expressions of the asymptotic stability boundaries and Lyapunovian stability boundaries are derived when actual and perceived transportation lead-time is 1 and 2 periods long respectively.

These constraints, based on the principle of local conservation of thermal energy in the vicinity of the boundaries, are derived using the Green's Theorem.

The boundary conditions on the inner boundaries are derived from the flow-rate continuity through the supplying orifices and are expressed by means of an integro-differential nonlinear equation.

A new formulation using characteristic wave relations through boundaries is derived for the Euler equations and generalized to the Navier-Stokes equations.

In PRODOM, ADDA and EVEREST, the domain boundaries are derived by large-scale sequence comparisons followed by clustering analyses.

Delta2D offers a hybrid between segmentation and modeling: starting with segmentation, spots are modeled as Gaussians, and their nonoverlapping boundaries are derived from the models (Fig.  9).