Sentence examples for basis involves a from inspiring English sources

The orthonormal basis involves a family of wavelets due to Alpert and Rokhlin and the vanishing of a large number of moments for this basis (order 3 or 4) is crucial for compact representation of the statistical velocity field.

The only case where the Supreme Court has struck down a bankruptcy law on this basis involved a law that applied to a single railroad.

The paper Hansen, Bolander, and Braüner (2008) gives a tableau-based decision procedure for many-valued hybrid logic, that is, hybrid logic where the two-valued classical logic basis has been generalized to a many-valued logic basis involving a truth-value space having the structure of a finite Heyting algebra.

Security is evaluated on a case-by-case basis involving an attacker coined as the Eve machine.

There is evidence that gross motor skills and social skills may share a biological basis, involving an area of the brain called the cerebellum (Stoodley & Schmahmann, 2010).

The parameterization in the final step of Eq. (3) is obtained through a cross-basis, involving a tensor product between the basis chosen for f(x) and w, generating the transformed variables w x, t linearly combined with the parameters η.

This year's women's Ashes will be decided on a points basis involving all three formats of the game, Twenty20, one-day internationals and a single Test match.

The experimental study of fatigue properties of the material on such a cyclic basis involves significant time costs.

In any case, the scarcity of regulatory divergence observed here for the embryo stage suggests that regulatory divergence is rare and may have a narrow genomic basis involving only a small number of genetic factors.

The optimized method needs no organic solvents, uses only two grams of sediment on a dry weight basis and involves a unique sample presentation whereby sediment is spread uniformly as a thin layer inside the walls of a glass headspace vial.

Note that the Hamel basis is free from topology, whereas the Schauder basis involves convergence and hence topology (see [1]).