Abstract: A method for storing or transmitting information may include determining at least one subdivision of at least one logical hierarchical data space. The at least one logical hierarchical data space may have a plurality of subdivisions. The method may further include creating at least one data block. The method may further include writing the at least one tuple to the at least one data block. The at least one tuple may be associated with the subdivision of the at least one logical hierarchical data space. The method may further include associating the at least one data block with the at least one subdivision of the at least one logical hierarchical data space.

Abstract: Methods and apparatus for executing a data operation are described herein. The methods and systems may include determining at least one subdivision of at least one logical hierarchical data space. The at least one logical hierarchical data space may have a plurality of subdivisions. The method may further include determining at least one file corresponding to the at least one subdivision of the at least one logical hierarchical data space. The method may further include reading at least one tuple from the at least one file.

Abstract: A method for storing or transmitting information may include determining at least one subdivision of at least one logical hierarchical data space. The at least one logical hierarchical data space may have a plurality of subdivisions. The method may further include creating at least one data block. The method may further include writing the at least one tuple to the at least one data block. The at least one tuple may be associated with the subdivision of the at least one logical hierarchical data space. The method may further include associating the at least one data block with the at least one subdivision of the at least one logical hierarchical data space.

Abstract: Methods and apparatus for executing a data operation are described herein. The methods and systems may include determining at least one subdivision of at least one logical hierarchical data space. The at least one logical hierarchical data space may have a plurality of subdivisions. The method may further include determining at least one file corresponding to the at least one subdivision of the at least one logical hierarchical data space. The method may further include reading at least one tuple from the at least one file.

Abstract: A method for transforming a statement into at least one hierarchical data space operation may include analyzing the statement to produce at least one transformed statement. The method may further include selecting at least one element of the transformed statement. The method may further include determining at least one column for the at least one element. The method may further include generating at least one hierarchical data space operation for the at least one element. The method may further include extracting at least one value from the at least one element for the at least one column. The method may further include determining at least one first logical hierarchical data space for the at least one hierarchical data space operation.

Abstract: A method for storing or transmitting information may include determining at least one subdivision of at least one logical hierarchical data space. The at least one logical hierarchical data space may have a plurality of subdivisions. The method may further include creating at least one data block. The method may further include writing the at least one tuple to the at least one data block. The at least one tuple may be associated with the subdivision of the at least one logical hierarchical data space. The method may further include associating the at least one data block with the at least one subdivision of the at least one logical hierarchical data space.

Abstract: A method for storing or transmitting information may include determining at least one subdivision of at least one logical hierarchical data space. The at least one logical hierarchical data space may have a plurality of subdivisions. The method may further include creating at least one data block. The method may further include writing the at least one tuple to the at least one data block. The at least one tuple may be associated with the subdivision of the at least one logical hierarchical data space. The method may further include associating the at least one data block with the at least one subdivision of the at least one logical hierarchical data space.

Abstract: Method and apparatus for performing an operation are described. A method includes choosing at least one primary logical hierarchical data space. The at least one primary logical hierarchical data space may have a plurality of subdivisions. The method may further include determining at least one subdivision of the at least one primary logical hierarchical data space. The method may further include choosing at least one secondary logical hierarchical data space. The at least one secondary logical hierarchical data space may have a plurality of subdivisions. The method may further include determining at least one subdivision of the at least one secondary logical hierarchical data space. The method may further include performing at least one operation corresponding to the at least one subdivision of the at least one primary logical hierarchical data space.

Abstract: Method and apparatus for performing an operation are described. A method includes choosing at least one primary logical hierarchical data space. The at least one primary logical hierarchical data space may have a plurality of subdivisions. The method may further include determining at least one subdivision of the at least one primary logical hierarchical data space. The method may further include choosing at least one secondary logical hierarchical data space. The at least one secondary logical hierarchical data space may have a plurality of subdivisions. The method may further include determining at least one subdivision of the at least one secondary logical hierarchical data space. The method may further include performing at least one operation corresponding to the at least one subdivision of the at least one primary logical hierarchical data space.

Abstract: A method for storing or transmitting information may include determining at least one subdivision of at least one logical hierarchical data space. The at least one logical hierarchical data space may have a plurality of subdivisions. The method may further include creating at least one data block. The method may further include writing the at least one tuple to the at least one data block. The at least one tuple may be associated with the subdivision of the at least one logical hierarchical data space. The method may further include associating the at least one data block with the at least one subdivision of the at least one logical hierarchical data space.

Abstract: Method and apparatus for performing an operation are described. A method includes choosing at least one primary logical hierarchical data space. The at least one primary logical hierarchical data space may have a plurality of subdivisions. The method may further include determining at least one subdivision of the at least one primary logical hierarchical data space. The method may further include choosing at least one secondary logical hierarchical data space. The at least one secondary logical hierarchical data space may have a plurality of subdivisions. The method may further include determining at least one subdivision of the at least one secondary logical hierarchical data space. The method may further include performing at least one operation corresponding to the at least one subdivision of the at least one primary logical hierarchical data space.

Abstract: Methods and apparatus for executing a data operation are described herein. The methods and systems may include determining at least one subdivision of at least one logical hierarchical data space. The at least one logical hierarchical data space may have a plurality of subdivisions. The method may further include determining at least one file corresponding to the at least one subdivision of the at least one logical hierarchical data space. The method may further include reading at least one tuple from the at least one file.

Abstract: A method for performing an encrypted data operation may include generating an encrypted hierarchical path identifier corresponding to a hierarchical data space for at least one plaintext data operation that preserves the hierarchy of the hierarchical data space. The at least one plaintext data operation may correspond to at least one subdivision of the hierarchical data space. The method may further include encrypting the at least one plaintext data operation, and sending a request to perform an encrypted data operation to a server. The request may include the encrypted data operation and the encrypted hierarchical path identifier.

Abstract: A method for transforming a statement into at least one hierarchical data space operation may include analyzing the statement to produce at least one transformed statement. The method may further include selecting at least one element of the transformed statement. The method may further include determining at least one column for the at least one element. The method may further include generating at least one hierarchical data space operation for the at least one element. The method may further include extracting at least one value from the at least one element for the at least one column. The method may further include determining at least one first logical hierarchical data space for the at least one hierarchical data space operation.

Abstract: A program storing computer-readable instructions therein for instructing a computer to perform analytical steps for generating a spatial hierarchy identifier that corresponds to a spatial hierarchy used on a server, the program includes a recording medium readable by the computer; and the computer instructions stored on said recording medium instructing the computer to perform the processes including identifying a position using a position indication system, and generating an identifier within the computer and independent of the server, wherein the identifier identifies first regions within the first spatial hierarchy on the server corresponding to the position.

Abstract: A method for performing an encrypted data operation may include generating an encrypted hierarchical path identifier corresponding to a hierarchical data space for at least one plaintext data operation that preserves the hierarchy of the hierarchical data space. The at least one plaintext data operation may correspond to at least one subdivision of the hierarchical data space. The method may further include encrypting the at least one plaintext data operation, and sending a request to perform an encrypted data operation to a server. The request may include the encrypted data operation and the encrypted hierarchical path identifier.

Abstract: A method for performing an encrypted data operation may include generating an encrypted hierarchical path identifier corresponding to a hierarchical data space for at least one plaintext data operation that preserves the hierarchy of the hierarchical data space. The at least one plaintext data operation may correspond to at least one subdivision of the hierarchical data space. The method may further include encrypting the at least one plaintext data operation, and sending a request to perform an encrypted data operation to a server. The request may include the encrypted data operation and the encrypted hierarchical path identifier.

Abstract: A method for performing an encrypted data operation may include generating an encrypted hierarchical path identifier corresponding to a hierarchical data space for at least one plaintext data operation that preserves the hierarchy of the hierarchical data space. The at least one plaintext data operation may correspond to at least one subdivision of the hierarchical data space. The method may further include encrypting the at least one plaintext data operation, and sending a request to perform an encrypted data operation to a server. The request may include the encrypted data operation and the encrypted hierarchical path identifier.

Abstract: A method for performing an encrypted data operation may include generating an encrypted hierarchical path identifier corresponding to a hierarchical data space for at least one plaintext data operation that preserves the hierarchy of the hierarchical data space. The at least one plaintext data operation may correspond to at least one subdivision of the hierarchical data space. The method may further include encrypting the at least one plaintext data operation, and sending a request to perform an encrypted data operation to a server. The request may include the encrypted data operation and the encrypted hierarchical path identifier.

Abstract: A method for performing an encrypted data operation may include generating an encrypted hierarchical path identifier corresponding to a hierarchical data space for at least one plaintext data operation that preserves the hierarchy of the hierarchical data space. The at least one plaintext data operation may correspond to at least one subdivision of the hierarchical data space. The method may further include encrypting the at least one plaintext data operation, and sending a request to perform an encrypted data operation to a server. The request may include the encrypted data operation and the encrypted hierarchical path identifier.