Sentence examples for basis functions associated with from inspiring English sources

A new set of enrichment basis functions associated with additional coarse-scale degrees of freedom (DoF) is introduced.

The low dimensional space is spanned by locally supported basis functions associated with the node of a coarse mesh obtained by solving decoupled local problems.

The results are directly applicable to curves and surfaces that have a representation as a linear combination of smooth basis functions associated with the control points.

This paper identifies new bases for random variables through linear mappings such that the representation of the quantity of interest is more sparse with new basis functions associated with the new random variables.

We present a method for scattered data approximation with subdivision surfaces which actually uses the true representation of the limit surface as a linear combination of smooth basis functions associated with the control vertices.

It consists of a spring-damper system modulated by a non-linear force profile encoded as a series of predefined basis functions associated with local force behaviors (or alternatively, by the path of a virtual spring-damper system producing a non-linear force profile).

The Lagrange interpolating polynomial can be written in the form I^{alpha,beta}_{N}v(x)=sum_{i=0}^{N}v(x_{i})F_{i}(x), quad 0leq ileq N, where (F_{i}(x)) is the Lagrange interpolation basis function associated with ({x_{i}}_{i=0}^{N}). ([16]).

Let (11) φ i j ξ = ξ − ξ i − 1 (j ) h (j ) if     ξ i − 1 (j ) < ξ < ξ i (j ) ξ i + 1 (j ) − ξ h (j ) if     ξ i (j ) < ξ < ξ i + 1 (j ) 0 otherwise be the continuous piecewise linear finite element basis function associated with the grid node ξ i (j ) for each i = 1,…, m j − 1.

To achieve this, a grid one level coarser than the coarse grids used in the MsFV method is constructed and the local problems are redefined to compute the basis and correction functions associated with this new grid.

The underlying basis functions are Lagrange functions associated with continuous piecewise polynomial approximation on a computational grid.

Detecting positive selection in loci associated with complex disease informs on the evolutionary history of disease and narrows down the search for positively selected components, possibly exposing the presence of unknown advantageous functions associated with the genetic basis of such diseases.