Abstract: Systems, methods, and other embodiments associated with index-based optimization of geometric figured-related queries are described. In one embodiment, a method includes receiving two points selected from a corpus of spatial data. A hierarchical index on the data is accessed to choose candidate nodes. The index is a hierarchical arrangement of nodes arranged in paths from root node entries to leaf node entries such that each node is contained in all nodes in a path leading to the node. The method includes determining a spatial relationship between the two points and the candidate nodes in the index. The candidate nodes are a proper subset of the nodes in the index, such that the spatial relationship is not determined between the two points and some non-candidate nodes. A candidate node is selected based on the determined angles for processing related to construction of a geometric figure describing the spatial data.

Abstract: Systems, methods, and other embodiments associated with index-based optimization of geometric figured-related queries are described. In one embodiment, a method includes receiving two points selected from a corpus of spatial data. A hierarchical index on the data is accessed to choose candidate nodes. The index is a hierarchical arrangement of nodes arranged in paths from root node entries to leaf node entries such that each node is contained in all nodes in a path leading to the node. The method includes determining a spatial relationship between the two points and the candidate nodes in the index. The candidate nodes are a proper subset of the nodes in the index, such that the spatial relationship is not determined between the two points and some non-candidate nodes. A candidate node is selected based on the determined angles for processing related to construction of a geometric figure describing the spatial data.

Abstract: Systems, methods, and other embodiments associated with shared error searching for web resource requests are described. A web resource request that includes one or more request strings is received and a error detection directive that identifies a first type of error to be located in a specified request string component is accessed. At least a portion of a first request string that corresponds to the specified request string component is searched, in a single pass, for the first type of error and other types of errors. Results with respect to the first error type are returned while occurrences of the first and other types of errors for are recorded for responding to subsequent error detection directives. Thus, a subsequent error detection directive for the other types of errors in the first request string component may be processed without re-searching the portion of the first request string already searched with respect to the first error detection directive.

Abstract: Systems, methods, and other embodiments associated with shared error searching for web resource requests are described. A web resource request that includes one or more request strings is received and a error detection directive that identifies a first type of error to be located in a specified request string component is accessed. At least a portion of a first request string that corresponds to the specified request string component is searched, in a single pass, for the first type of error and other types of errors. Results with respect to the first error type are returned while occurrences of the first and other types of errors for are recorded for responding to subsequent error detection directives. Thus, a subsequent error detection directive for the other types of errors in the first request string component may be processed without re-searching the portion of the first request string already searched with respect to the first error detection directive.

Abstract: A method for providing data integrity of a database system. A standby database is selected to replace a failed primary database. At least one redo log file having at least one data transaction is selected to be applied to the selected standby database. The selected standby database is updated with the data transaction from the selected redo log file if an identification code in the redo log file matches an identification code in the standby database.

Abstract: A method for providing data integrity of a database system. A standby database is selected to replace a failed primary database. At least one redo log file having at least one data transaction is selected to be applied to the selected standby database. The selected standby database is updated with the data transaction from the selected redo log file if an identification code in the redo log file matches an identification code in the standby database.