Sentence examples for cases of a class of from inspiring English sources

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As with (K_nu ), these spaces are special cases of a class of spaces of Schechter [535].

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Du concerning solutions to the equation Δpu= b(x f u) to the case of a class of singular elliptic operators on Riemannian manifolds, which include the ϕ-Laplacian and are the natural generalization to manifolds of the operators studied by J. Serrin and collaborators in Euclidean setting.

In this paper, a combination of several specialized SMC controllers is proposed in order to solve this problem and obtain high accuracy steady state sliding motions in case of a class of MIMO nonlinear systems with external matched disturbances and plant uncertainty.

Compared with [11] and [10], our new criteria overcome some of the main sources of conservatism, and contain the criteria in [11] and [10] as a special case of a class of linear delay systems.

For this trial, triangular test (TT) was considered to be appropriate, the TT is a special case of a class of sequential designs developed by Andersonthis [ 16]and advocated by Whitehead [ 8, 17].

In a recent paper, we proved a slight variant of the EKF, namely the invariant extended Kalman filter (IEKF), when used as a nonlinear observer, possesses local convergence properties under the same assumptions as those of the linear case, for a class of systems defined on Lie groups.

In particular, we determine an upper bound on the worst-case performance of a class of lower bounding procedures derived from BPP.

We then use random graph techniques to obtain, under a certain stochastic setting, an upper bound on the average case approximation ratio of a class of algorithms (including the proposed algorithm) for this problem as a function of the number of source nodes, and the hop count bound.

Initiated by [16], a series of studies [20, 21, 22, 23, 24] has elucidated the structure of the divergencies in many cases, and a class of renormalizable theories have been introduced in [25, 26].

The aforementioned problems commonly occur during the evaluation of the vulnerability of a historical building, therefore the examined case may be representative of a class of buildings.

Mr. Ekeland explained that Mr. Auerheimer is part of a class of cases such as that of Aaron Swartz, Barrett Brown and Matthew Keys, which are being tried under an antiquated law that should be scrapped.

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