Sentence examples for was generalized by using from inspiring English sources

The resulting grid was generalized by using a minimum threshold of 4 ha (or approximately 10 acres) which for the Teakettle Experimental Forest has been shown to be large enough to contain the three main patch components of mixed conifer forest: closed canopy, gap, and shrub patches (North and others 2002).

Note that the estimate (10) can be generalized by using the Hölder inequality in place of the Cauchy-Schwarz inequality.

The inequality of Popoviciu, which was improved by Vasić and Stanković (Math. Balk. 6 281-288, 1976), is generalized by using new identities involving new Green's functions.

The inequality of Popoviciu, which was improved by Vasić and Stanković [1], is generalized by using the above new Green's functions.

In [18] and [19], the concept of statistical convergence is generalized by using a Riesz summability method and it is called weighted statistical convergence.

In the present research, a stiffness degradation model is generalized by using a new fatigue life measure and shear-lag analyses to improve correlation at low fatigue cycles and high stress states.

The property may be generalized by using also primary nonexpansive maps with associated having unity absolute upper-bound provided that the switching rule involves nonexpansive self-maps being always used on subsets of of finite Lebesgue measure or, otherwise, combined with contractive primary self-maps both (alternately) run on sets of infinity Lebesgue measure.

Both the solid and fluid media are modeled as continua and the basic functional expression is generalized by using Lagrange multipliers to incorporate field equations, boundary conditions and a kinematic constraint on the intetface region between the two types of continua.

Finally, we investigated if the leaf area models can be generalized by using tree and stand variables in the mixed model equation (12).

Then, the feature vector construction method is generalized by using not only direct neighbors but also higher-order neighborhood information in a network.

Pawlak's model has been generalized by use of arbitrary relations in place of equivalence relations, or by use of covering or neighborhood systems or set-valued mappings in place of equivalence classes (see [2 8]).