Abstract: Processing a plurality of data units to generate result information, includes: performing a data operation for each data unit of a first subset of data units from the plurality of data units, and storing information associated with a result of the data operation in a first set of one or more data structures stored in working memory space of a memory device; after an overflow condition on the working memory space is satisfied, storing information in overflow storage space of a storage device; and repeating an overflow processing procedure multiple times during the processing of the plurality of data units, the overflow processing procedure including: updating a new set of one or more data structures stored in the working memory space using at least some information stored in the overflow storage space.

Abstract: Processing a plurality of data units to generate result information, includes: performing a data operation for each data unit of a first subset of data units from the plurality of data units, and storing information associated with a result of the data operation in a first set of one or more data structures stored in working memory space of a memory device; after an overflow condition on the working memory space is satisfied, storing information in overflow storage space of a storage device; and repeating an overflow processing procedure multiple times during the processing of the plurality of data units, the overflow processing procedure including: updating a new set of one or more data structures stored in the working memory space using at least some information stored in the overflow storage space.

Abstract: Processing a plurality of data units to generate result information, includes: performing a data operation for each data unit of a first subset of data units from the plurality of data units, and storing information associated with a result of the data operation in a first set of one or more data structures stored in working memory space of a memory device; after an overflow condition on the working memory space is satisfied, storing information in overflow storage space of a storage device; and repeating an overflow processing procedure multiple times during the processing of the plurality of data units, the overflow processing procedure including: updating a new set of one or more data structures stored in the working memory space using at least some information stored in the overflow storage space.

Abstract: Processing a plurality of data units to generate result information, includes: performing a data operation for each data unit of a first subset of data units from the plurality of data units, and storing information associated with a result of the data operation in a first set of one or more data structures stored in working memory space of a memory device; after an overflow condition on the working memory space is satisfied, storing information in overflow storage space of a storage device; and repeating an overflow processing procedure multiple times during the processing of the plurality of data units, the overflow processing procedure including: updating a new set of one or more data structures stored in the working memory space using at least some information stored in the overflow storage space.

Abstract: Synchronizing at least first and second instances of PIM databases stored on a client device with at least one instance of a PIM database stored on a server, by running client synchronization software on the client device, running server synchronization software on the server, which is connected to the client device over a communications link, having the client synchronization software determine changes made to the first and second instances on the client device, transmitting the changes in a single transmission, and having the server synchronization software process the changes for both the first and second instances.

Abstract: A method for reducing message traffic during synchronization between a database residing on a first computer (e.g., a remote computer) and another database residing on a second computer (e.g., a central computer) is disclosed. The first computer transmits to the second computer a proposed synchronization mode and at least one operation that operates on a record stored in the other database. The operation is transmitted to the second computer before the second computer returns to the first computer a confirmation message accepting the proposed synchronization mode. Synchronization is essentially independent of latency in the communication channel.