Sentence examples for basis functions to represent from inspiring English sources

We define local, multiscale mixed basis functions to represent the discrete solutions in subdomains.

The classical function expansion method based on minimizing l2-norm of the response residual employs various basis functions to represent the unknown force.

Here, the focus is on mesh-based PO, using a triangle element mesh with standard Rao Wilton Glisson basis functions to represent the surface current density.

A second degree polynomial and a set of sinusoidal functions are taken as basis functions to represent form and waviness respectively.

Although these modes cannot be directly used to decouple the dynamic equations of the motion of the reinforced plate, it is still advantageous to use them as a complete set of basis functions to represent the interested quantities such as the deflection of the plate.

Traditional data analysis methods, like Fourier and wavelet-based method, require some predefined basis functions to represent a signal.

We implemented the linear Lagrange basis function to represent optical properties in the same framework of TIM-OS.

We have presented a hybrid scheme to support linear Lagrange basis function to represent optical properties and developed an algorithm to determine the photon step size for the linear Lagrange scheme.

Finally, even moderately complex BRDFs require large numbers of spherical harmonic basis functions to be represented correctly.

Selection of basis functions is particularly important for high-dimensional stochastic problems because the number of polynomial chaos basis functions required to represent model uncertainty grows dramatically as the number of input parameters (random dimensions) increases.

Our findings provide guidance for determining an optimal acquisition scheme for QBI in the low SNR and low scan time regime, and suggest that care must be taken when choosing the basis functions used to represent the QBI ODF.