Sentence examples for derived that relates from inspiring English sources

A model is derived that relates these effects to the silicon material anisotropy.

A dispersion equation for the corresponding three-dimensional elastic problem is derived that relates the wave number to the frequency of oscillations.

A simple expression is derived that relates the split in frequency to the frequency of the modes in the un-cracked ring, the dimensions of the ring and the crack length.

For a set of Geldart-B and -D particle systems, and for a range of bed diameters (from 0.1 m ID up to 0.8 m ID), an empirical correlation (Equation 4 in the paper) is derived that relates Kolmogorov entropy to main bubbling bed design parameters, viz.

Closed-form equations are thereby derived that relate charge efficiency to the non-dimensional Pèclet and Damköhler numbers that enable the selection of current and flow velocity to produce a desired degree-of-desalination.

Analytical expressions are derived that relate the cross-over frequency clearly to the performance criteria for the closed loop system.

Using well-known coupling functions for neutron monitors we have derived functions that relate the spectral index of flare energetic particles (FEP) to observations of multiplicities.

Analytical equations are derived that explicitly relate the dimensionless pulse time and dimensionless pressure response amplitude to the time lag ratio.

A 2n central composite factor design was used to derive equations that relate the dependent variables to the operating variables considered in the pulping and bleaching processes.

The local trace function introduced in [Dutkay, The local trace function of shift invariant spaces, J. Operat. Theory 52(2004267 291267–291] is used to derive equations that relate multiwavelets and multiscaling functions in the context of a generalized multiresolution analysis, without appealing to filters.

Applying results based on Canham-Helfrich lipid bilayers [23] [25], we derive equations that relate the relationship between apparent NE tension and the effective NE bending stiffness to the tether radius (Table 1, Eqs. [7] and [8]).