Sentence examples for modes to derive from inspiring English sources

These supposedly basic facts thereby provide the requisite metaphysical foundation for his physical hypotheses: in other words, one proceeds from our "clear and distinct" knowledge of general metaphysical items, such as the nature of material substance and its modes, to derive particular conclusions on specific types of physical processes, for instance the laws of nature.

This paper presents an analysis of the friction energy dissipated by each mode to derive several models of equivalent friction modal damping.

A numerical model of the combustor, taking account spatial non-uniformity of its temperature, was developed and employed in inverse modeling mode to derive the global combustion kinetics for polystyrene and poly(butylene terephthalate) and their blends with gas-phase active flame retardant additives.

Lagrange's equation is used with the assumed mode method to derive the governing equations of motion.

Also, the modal analysis is applied to a general system with time retardation accompanied by wear in order to obtain the equations of motion for each mode and to derive some important parameters.

The Galerkin projection method is employed along with a single mode approximation to derive the nonlinear coupled electromechanical governing equations which are then solved analytically using the method of multiple time scales perturbation technique for both cases of free and forced vibrations.

The method of coupled modes is used to derive the amplitude modulation equations.

Finally, the solutions for these pressure modes were used to derive the added-mass matrix, and a modified reduced eigenvalue problem was solved to compute the wetted free-vibration frequencies and the mixture coefficients for the in vacuo free-vibration modes to yield the wetted modal vectors.

TOPS-MODE was used to derive the contribution of different fragments to the toxicity of studied compounds.

These 2D-elasticity-based pure modes are then used to derive a 2D-elasticity-based partition theory for mixed-mode fractures.

The Lagrangian dynamics in conjunction with the assumed modes method is utilized to derive directly the equivalent temporal equations of motion.