Sentence examples for and derived in a from inspiring English sources

In particular, the effective damping ratio for a cycle is introduced and derived in a closed form from the energy considerations and then independently from Mathieu's equation.

These equations are depth-averaged and derived in a Lagrangian coordinate system, with the x-coordinate aligned with the local direction of motion and the z-coordinate oriented in the bed-normal direction.

The following result, which was stated in Cooray (2008) and derived in Liu (2014), provides an explicit formula for the moment generating function (MGF) of the FL model.

Arthrochilium and derived in Epipactis.

The constitutive framework is based on multisurface plasticity and is derived in a thermodynamically consistent manner.

Our method is based on the pressure evolution equation, so it works for arbitrary equations of state, chemical species etc. and is derived in a straight-forward manner.

Under this competitive binding (BC) assumption, binding can be represented by Eqs. 7 and 8, derived in a manner analogous to competitive enzyme inhibition.

Prediction intervals for other countries, and those presented to the experts for fertility and migration, were derived in a similar manner.

To our knowledge, this is the first report of NSCs, primary fetal lines, and functional neurons derived in a domestic species.

[ 18] This indicates that high-level evidence was reproduced by this study, and that results derived in a general practice setting using practical self-administered instruments are very likely to be valid.

Due to the nature of the field equations, proper adjoint system of equations and biorthogonality conditions were derived in a precise and detailed manner.