data types Storage engine Query processor SQL Language Continuous time-based Sliding Window Queries Continuous Predicate-based Window Queries Moving Queries Stream data types Stream of Moving Objects/Queries Stream_Scan Operator W-Expire Operator Negative Tuples INSIDE Operator kNN Operator WINDOW window_clause kNN knn_clause PLACE NILE INSIDE inside_clause

The uncertainty of decision making problems means that the assessments may be provided by means of continuous intervals. The importance weighted continuous ordered weighted averaging operator has been developed in the case that the values in an interval have associated importance weights. In order to provide better properties of the importance weighted aggregation method, we propose the importa...

We analyze the convergence of an extended Krylov subspace method for the approximation of operator functions that appear in exponential integrators. For operators, the size of the polynomial part of the extended Krylov subspace is restricted according to the smoothness of the initial data. This restriction for the continuous operator has a significant influence on the approximation of matrix fu...

‎In this paper‎, ‎we study translation invariant surfaces in the‎ ‎3-dimensional Heisenberg group $rm Nil_3$‎. ‎In particular‎, ‎we‎ ‎completely classify translation invariant surfaces in $rm Nil_3$‎ ‎whose position vector $x$ satisfies the equation $Delta x = Ax$‎, ‎where $Delta$ is the Laplacian operator of the surface and $A$‎ ‎is a $3 times 3$-real matrix‎.

The purpose of this paper is to study some properties of cartesian product of fuzzy completely prime ideals and fuzzy completely semiprime ideals of Γ-semigroups. Operator semigroups of a Γ-semigroup has been made to work by obtaining various relationships between cartesian product of fuzzy ideals (fuzzy completely prime ideals, fuzzy completely semiprime ideals) of a Γ-semigroup and that of it...

We investigate the sufficient condition under which each positive b-weakly compact operator is Dunford-Pettis. We also investigate the necessary condition on which each positive b-weakly compact operator is Dunford-Pettis. Necessary condition on which each positive b-weakly compact operator is weakly compact is also considered. We give the operator that is semi-compact, but it is not bweakly. W...

The eta invariant of the Dirac operator over a noncompact cofinite quotient of PSL(2,R) is defined through a regularized trace following Melrose. It reduces to the standard definition in terms of eigenvalues in the case of a totally nontrivial spin structure. When the S1-fibers are rescaled, the metric becomes of nonexact fibred-cusp type near the ends. We completely describe the continuous spe...