Sentence examples for basis functions to construct from inspiring English sources

We establish the topological equivalence between the single-axis grain boundary space and the 3-sphere, which in turn enables the use of hyperspherical harmonics as basis functions to construct continuous functions.

Under the framework, the gap between the designs of geometry with the analysis of variable field is bridged though applying NURBS basis functions to construct the displacement field and geometry of various orthotropic shaped plates.

In this paper, by using the weighted orthogonal basis function to construct the MLS interpolants, we derive the formulae of an improved EFG (IEFG) method for two-dimensional potential problems.

The number of basis functions used to construct the functional curves and the number of leading FPC scores included (L) can be determined by the leave-one-curve-out cross-validation score suggested by Peng and Paul [ 26].

Moreover, since the basis functions used to construct the sine-cosine wavelet are orthogonal and have compact support, it makes the more useful and simple in actual computations.

We utilize radial basis functions (RBFs) to construct numerical schemes for Hamilton Jacobi (HJ) equations on unstructured data sets in arbitrary dimensions.

The nonlinear bending formulations of the FG-CNTRC plates are derived from the modified RPIM which employs a new radial basis function able to construct the shape functions without the need for introducing supporting fixing coefficients based on the higher-order shear deformation plate theory.

Node-based NURBS basis functions are used to construct the approximation function.

One-dimensional Non-uniform Rational B-Spline (NURBS) basis functions are used to construct the beam geometry as well as approximate the solution, whereas the gradations of material property are represented by two-dimensional basis functions.

The approach is based on a specially adapted nodal spectral Galerkin method, where the basis functions are constructed to obey the antisymmetry relations of fermionic wave functions.

A second set of basis functions is required to construct a conservative fine-scale velocity field.