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Two-dimensional displacement fields of the plates are approximated by a set of mesh-free kernel particle functions.
In this paper, the convex nonlinear production cost functions in (2) are approximated by a set of piecewise linear blocks using the method applied in [34].
Given a set of feature correspondences tracked through an image sequence, the joint posterior distributions of both camera extrinsic and intrinsic parameters as well as the scene structure are approximated by a set of samples and their corresponding weights.
Wet dynamic transverse displacements of the plate are approximated by a set of admissible trial functions which are required to satisfy the clamped and simply supported geometric boundary conditions.
The two-dimensional displacement fields of the panels are approximated by a set of mesh-free kernel particle functions, and the discretized governing eigen-equations are developed via the Ritz procedure with the essential boundary conditions enforced through the full transformation method.
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By the fuzzy approximation, the HJI in (12) can be approximated by a set of algebraic inequalities in (19).
Original system dynamics is approximated by a set of local NARX models combined by a special mixing rule.
In order to simplify the calculation of the intersection area, ellipses can be approximated by a set of circles [[9]] or by a set of points [[16]].
The surface is approximated by a set of line segments fitted at the boundary of every two neighboring computational cells.
The deflection of the plate is approximated by a set of beam functions in each principal coordinate direction.
On the basis of the Rayleigh-Ritz approach, each substructure is approximated by a set of admissible trial vectors.
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