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These conditions have been derived using an iterative technique.

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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.

Nolan's cell data is derived using an innovative variation on a common cell-sorting technique called flow cytometry.

A sufficient condition for achieving single-mode operation is derived using an effective-index method.

The enrichment functions are inspired by the boundary layer theory and are derived using an asymptotic analysis for different types of boundary layers.

The relation between water saturation and a J function is derived using an exponential relation.

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 equivalent Young's modulus and shear modulus for a zigzag SWCNT are derived using an energy-equivalent model.

The SDP NMSS model structure is defined, and the SDP Proportional-Integral-Plus (PIP) control algorithm is derived using an optimal LQ technique.

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