Sentence examples for Using an alternative formulation from inspiring English sources
Using an alternative formulation the correlations are recalculated leading to a determinant identity reminiscent of Szego's Theorem.
This bias can only be eliminated by using an alternative formulation of Levin's equation, which requires information from the other disjoint exposures in the denominator.
For the numerical simulation, we choose T = 1 and use an alternative formulation of problem (1a) and (1b), (36a).
This formulation of the problem is not easily accessible by algorithmic means; to this end, we use an alternative formulation which, for additive scorings, is equivalent to the above [34]: for each peak in the fragmentation spectrum, we find all molecular formulas with mass difference sufficiently small.
This paper addresses the analysis of crack propagation in quasi-brittle materials using an alternative BEM formulation.
An alternative formulation uses that is, using v* = v - Q β, which has zero expectation.
The optimisation framework, which is based here on hydrocarbon functional groups, is first validated against an alternative formulation that uses (pseudo-experimental) thermodynamic property predictions from REFPROP, and against an optimisation study taken from the literature.
It briefly reviews the static model, and proposes an alternative formulation for it using the variational inequality (VI) technique.
An alternative formulation using linear elements is also demonstrated to be accurate for mode-I fracturing, and acceptable mode-II results for most engineering applications can be obtained with appropriate mesh resolution, which remains considerably less than that required by most other methods for estimating stress intensities.
In this paper, we present an alternative formulation of the mine planning problem using the "language" of control engineering.
Q0 is an alternative formulation of Church's type theory which will be described in Section 1.4 and is equivalent to the system described above using Axioms 1 8.
