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An expression has been derived for determining the variation of crushing load during the formation of a fold.
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Linear matrix equations are derived for determining the corresponding change of coordinates and output injections.
A buckling condition is derived for determining the critical buckling torque and associated buckling mode.
As a consequence, an approach is derived for determining the optimal number of clusters of a partition.
Dimensionless criteria are derived for determining the importance of intra- and interface heat and mass transfer in trickle-bed reactors.
Empirical expressions are derived for determining the A-basis and the B-basis material properties as a function of the sample size.
An analytical method is derived for determining the vibrations of two plates which are generally supported along the boundary edges, and elastically coupled together at an arbitrary angle.
In this study, an analytical solution was derived for determining the stress distribution of a multilayered composite pressure vessel subjected to an internal fluid pressure and a thermal load, based on thermo-elasticity theory.
Furthermore, a matrix equation is derived for determining the corresponding change of coordinates and feedback such that the proposed design procedure can easily be implemented in a numerical software package.
Several useful expressions were derived for determining the noninferior set defined in the two-objective function space, which is concerned with the productivity and the concentration of the metabolic products.
In particular, four different methods, namely a signal energy estimation (SEE) technique, a generalized Akaike information criterion (GAIC) based test, a generalized likelihood ratio test (GLRT), and a modified GLRT, are derived for determining the effective length of a signal contaminated by noise.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com