Sentence examples for dimensional first from inspiring English sources

We design a leak detection system consisting of an adaptive Luenberger-type observer based on a set of two coupled one dimensional first order nonlinear hyperbolic partial differential equations governing the flow dynamics.

While the higher-order model did not provide improved fit over the dimensional first - order factor models, the bifactor model (BFM) had the best fit indices (CMNI/DF = 1.73; GFI = 0.96; RMSEA = 0.034).

For example, Bernardi et al. in [12] suggested some spectral approximations for handling two dimensional fourth-order problems.

The flexural vibrations of such a panel satisfies the one dimensional fourth order Petrowsky equation or Euler Bernoulli equation.

A three dimensional fourth-order polynomial was fitted to the numerical potential inside a 4×4×4 mm cube around the trap center.

We consider the one-space dimensional second-order quasi-linear hyperbolic equation ∂ 2 u ∂ t 2 = A ( x, t, u ) ∂ 2 u ∂ x 2 + g ( x, t, u, u x, u t ), 0 < x < 1, t > 0 (1.1).

Based on the literature [ 14, 17, 35, 42, 43, 46], we hypothesized that the hierarchical models would have better fit indices than the dimensional first-order models; the bifactor models would have the best fit indices; and the psychometric characteristics of the BDI-II would be adequate.

(b) A one dimensional model (equation 6), (c) A one dimensional fourth order polynomial based model (B-18).

The free asymmetric and axisymmetric vibration of layered piezoelectric spherical shells are analyzed using a two-dimensional first order shear deformable shell theory.

In this paper we consider the problem of boundary observer design for one-dimensional first order linear and quasi-linear strict hyperbolic systems with n rightward convecting transport PDEs.

To understand the combined effect of plasma heating and neutron heating loadings, the distributions of temperature, stress, and strain in different two-dimensional first wall panel models under normal ITER operation condition were simulated using finite element method.