Sentence examples for by replacing the classical from inspiring English sources

A control field for quantum wave packet dynamics is obtained by replacing the classical ensemble-averaged position and momentum with quantum mechanically averaged ones.

The influence of microstructure on macro-structural plate bending is incorporated into plate bending theories by replacing the classical elasticity theory by strain gradient elasticity.

We now quantize the system, by replacing the classical variables with the operators written in terms of the annihilation and creation operators of the resonator excitation, (a_{j}) and (a_{j}^{dagger}).

Specifically, this work aims to answer (1) how predicted mosquito control effectiveness is affected by replacing the classical assumption of a constant mortality hazard with an age dependent mortality hazard and (2) whether these results depend on the EIP.

The assertions (1.5 - 1.12) in [7], Theorem 1.1, concern the spaces ((A_{0}+A_{1}, A_{0}cap A_{1})_{theta, p}), and the goal of this paper is to extend these assertions by means of replacing the classical scale ((A_{0}, A_{1})_{theta, p}) by the general scale ((A_{0}, A_{1})_{Phi}).

Replacing the classical simulator by a quantum simulator would be an effective method of surmounting this obstacle.

We consider a modification of the Monodomain model obtained by replacing the diffusive term of the classical formulation with a fractional power of the operator, defined in the spectral sense.

The fractional Lotka-Volterra equations are obtained from the classical equations by replacing the first-order time derivatives by the derivatives of fractional order.

Such a problem is obtained from the classical diffusion equation by replacing the first-order time derivative by the Caputo fractional derivative of order (alphain 0,1)).

Three novel cisplatin analogues were synthesized, designed according to an approach which violates the "classical" structure activity relationship, by replacing the diamine ligands with a planar N donor heterocycle giving a sterically hindered complex.

The second manufacturing process presented as part of the current research, the Coreless Winding technique, offers an alternative to classical filament winding by replacing the positive mould with a linear steel frame, which provides the armature onto which the resin-soaked fibres are tensioned.