Sentence examples for obtained a characterization from inspiring English sources

Nelsen (1994) obtained a characterization of the FGM distributions by minimizing the χ2 divergence (10).

In [27], Wulan et al. obtained a characterization for the compactness of the composition operators acting on the Bloch space as follows.

In a more general setting, Hoeffding (1940) and Fréchet (1951) independently obtained a characterization of the class of bivariate distributions with given univariate marginals.

In 1976, Coifman et al. [3] obtained a characterization of L p -boundedness of the commutators [ b, R j ] generated by the Reisz transforms R j ( j = 1, …, n ) and a BMO function b.

In [34], Wu and Wulan obtained a characterization for the compactness of the product of differentiation and composition operators acting on the Bloch space as follows: Theorem A Let φ be an analytic self-map of D, m ∈ N. Then C φ D m : B → B is compact if and only if lim n → ∞ ∥ C φ D m ( z n ) ∥ B = 0.

Among other results he obtained a characterization of such functions in terms of a positivity property and in terms of a representation as the transfer function of a certain type of d-variable linear system, as well as a Nevanlinna Pick interpolation theorem for this class of functions.

To obtain a characterization for split cluster graphs, we need to characterize the existence of 2 K2's within connected components.

However, these bounds by themselves are not sufficient to obtain a characterization of local smoothness.

We obtain a characterization of the Bessel potential space using D δ and different equivalent norms.

In the fifth section, we obtain a characterization about maximal regularity for (1.2).

end{aligned}Now, by combining self-duality and dual right-egalitarian, we obtain a characterization of the Double Recursive Process.