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An analytical solution for this is derived using an adapted WKB approximation.
An effective Hamiltonian for the particle is derived using an averaging method resembling classical canonical perturbation theory.
An expression of the terminal velocity is derived using an analytic approach to the study of the motion of large liquid drops falling in air.
Nolan's cell data is derived using an innovative variation on a common cell-sorting technique called flow cytometry.
The system architecture is gradually derived using an approach of multiple, concurrent views.
A sufficient condition for achieving single-mode operation is derived using an effective-index method.
Then the traction deformation relation is derived using an inverse method.
Flow field pressure was derived using an equation governing the behavior of incompressible fluids.
The relation between water saturation and a J function is derived using an exponential relation.
The enrichment functions are inspired by the boundary layer theory and are derived using an asymptotic analysis for different types of boundary layers.
The equivalent Young's modulus and shear modulus for zigzag SWCNT are derived using an energy-equivalent model.
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