Sentence examples for involves a basis from inspiring English sources

The first approach involves a basis optimization procedure in which the number of columns in the basis matrix is determined to minimize the spectral radius of an appropriately defined amplification matrix.

It is shown that there exists a maximum number of species involved (a "basis") whose standard enthalpies can be put equal to zero.

Indeed, the 2012 Republican platform effectively demanded a return to gold, calling for a commission to "investigate possible ways to set a fixed value for the dollar" (which it took as self-evidently desirable), and making it clear that the preferred route involved a "metallic basis" for the currency.

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.

If the trust involves a business-like operation, accrual basis accounting would be appropriate to show the fund's profitability.

It's important that the sector fully engages with the changes to the research assessment process and we hope this report provides those involved with a basis for discussion".

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.

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.

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 court rejected the argument put forward by Florida, the Clinton administration and a broad coalition of state attorneys general that because guns are inherently so dangerous, the police can act on a tip involving a gun on the basis of less evidence than the Constitution would otherwise require.

This will however require a precise description of the auroral source, which is extremely variable both in space and time, and connected with this, a more local approach involving a different set of basis functions.