Sentence examples for modifications and generalizations from inspiring English sources

For example, Johnson et al. (2005) presented various modifications and generalizations of the Poisson distribution.

Since the original design of the additional viscous pressure in the scalar form, Q = c ρ ( Δ u ) 2, c ∈ R, as suggested in von Neumann and Richtmyer ([1950]) for one-dimensional advection ∂ t d + a ∂ x d = Q ∂ x x d, it has undergone a number of modifications and generalizations.

Explicit causal structure representations have been widely used in classical planning systems to guide a variety of aspects of planning, including plan generation, modification and generalization.

Observe that iteration (3.3) is a modification and generalization of iterations (1.11) and (1.9).

The following theorem is a modification and generalization form of the above theorem which is the most important consequence of this article.

Finally, we will present a framework for justifying plans with respect to multi-contributor causal structures and describe its applications in plan modification and generalization.

The model equation (1.1) is a modification and generalization of some existing models and also relates to some model equations, which were concerned recently (see Atay and Hutt [2], Coombes et al. [3], Ermentrout [4], [5 8]).

This theory is a modification and generalization of the thin plate model in [Lim, C.W., He, L.H., 2004. Size-dependent nonlinear response of thin elastic films with nanoscale thickness. Int. J. Mech. Sci. 46, 1715 1726].

Nowadays, the fractional calculus is considered as a key for opining the generalizations, modifications, and extensions in all sciences.

"But I think it is necessary to avoid clichés and generalizations.

In viewing this exhibition, one finds that the dichotomies and generalizations in the catalog often founder.