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To guarantee every real-valued convex function bounded above on a set is continuous, how ''thick'' should the set be? For a symmetric set $\mathbf{A}$ in a Banach space $E$, the answer of this paper i...
In this paper, we investigate the interior regularity including the local boundedness and the interior H\"{o}lder continuity of weak solutions for parabolic equations of the $p(x,t)$-Laplacian type. W...
A unified approach is proposed for making a continuity adjustment on some control charts for attributes, e.g., np-chart and c-chart, through adding a uniform (0, 1) random observation to the conventio...
In this paper we obtain a Douglas type factor decomposition theorem about certain important bounded module maps. Thus, we come to the discussion of the topological continuity of $bounded \;generalized...
In this study we establish theorems on the restriction and continuity of the generalized Riesz potentials with the non-isotropic kernels depending on l-distance.
Decompositions of Continuity     wo-open  wo-continuity  Continuity       2010/2/26
In 2004, Al-Hawary and Al-Omari introduced and explored the class of wo-open sets which is strictly stronger than the class of w-open sets and weaker than that of open sets. In this paper, we introduc...
Colonies of Stylophora pistillata unexposed to ultraviolet radiation (UVR) in laboratory aquaria contained minimal amounts of mycosporine-like amino acids (MAAs). The concentration of MAAs increased r...

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