Sentence examples for in linear analysis from inspiring English sources

The following results are substantial improvements of the equicontinuity theorem and the uniform boundedness principle in linear analysis.

A dual system in linear analysis consists of a linear space and a collection of linear functionals defined on the linear space.

It is shown that the ET method can predict the response of concrete gravity dams to individual earthquakes with reasonable accuracy in linear analysis.

The equivalent loads are defined as the loads in linear analysis, which generate the same response fields as those in nonlinear analysis.

The magnitude of hydrodynamic pressure in nonlinear analysis is quite large compare to that in linear analysis when the distance between the two vertical walls are relatively closer.

The dynamic structure of the FPSEs is such that the motion of the pistons of the system must reach the unstable or marginally stable (in linear analysis) and in nonlinear analysis achieve a stable limit cycle [6, 7], but unfortunately this condition involves a lot of complexity in the design procedures of Stirling engines.

As discussed in [29], linear analysis calculates the forces in these secondary bracing members to be negligible.

In the linear analysis, the normal mode method is used to reduce the basic set of fluid equations to a linear dispersion relation.

In fact, Balmforth et al. (2005) derived a general boundary condition similar to (25) and (26), but ignored the terms relevant to viscous stress in their linear analysis.

The total variance in this linear analysis (i.e., the eigenvalue) was 1.684 (Table 3).

To avoid multicollinearity, the fraction of digital phone, which was the most frequently used, was omitted in the linear analysis of long-term use.