Sentence examples for refinement of basis from inspiring English sources

The CSP method provides an iterative procedure of refinement of basis vectors a i and b j.

The proposed meta-models incorporate a three-layered advantage over the conventional ones, which are, global refinement of the basis functions, enabled with compressive sampling based methods based on ℓ0- and ℓ1-norms (p-adaptivity) and integrated with an optimal sequential experimental design scheme (h-adaptivity).

Although these developments were not entirely satisfactory from a foundational standpoint, they were fundamental to the eventual refinement of a rigorous basis for calculus by the Frenchman Augustin-Louis Cauchy, the Bohemian Bernhard Bolzano, and above all the German Karl Weierstrass in the 19th century.

The coefficients z ℓ, k can be obtained from well-known formulae for the refinement of B-Spline basis functions [43].

We explore hierarchical refinement of NURBS as a basis for adaptive isogeometric and immersed boundary analysis.

Two approaches are explored: the first is based on adaptive refinement of the multi-wavelet basis, while the second is based on adaptive block-partitioning of the space of random variables.

The idiom of 'knowledge being power' is applicable in a vast number of fields, yet rarely more so than in the context of academia, where the discussion of existing knowledge and the development and refinement of ideas forms the basis of academic work.

The capacity of one pathway to trigger or repress the next one provides the basis for refinement of patterns.

We expect this work to be used as a source of data to improve studies on vegetation-climate feedbacks and carbon dynamics and to set the basis for refinement of future land use change scenarios.

On the basis of a refinement of Jensen's inequality (2.6), we can refine the inequality (3.4) above with respect to the operator (A_{k}).

For researchers this study provides a basis for further refinement of individual models of acceptance.