Abstract: Techniques for representing and publishing an interactive document useful for analyzing data. The document may be represented as a directed acyclic graph of entities interconnected by edges. The entities may be of multiple types. Yet, a broad range of interactive documents may be represented by a limited number of types of entities and the capabilities to interconnect entities of different types and to share a data schema across entities of different types. A tool may enable a user to author such documents. The tool may also facilitate publishing of the document. For publishing, the document may be converted to an executable form. Prior to such a conversion, the graph may be modified for more efficient processing. The graph may also be partitioned such that portions of the graph, when distributed across tiers of a computing system, such as a cloud-based platform, execute on computing devices that provide efficient operation.

Abstract: Techniques for representing and publishing an interactive document useful for analyzing data. The document may be represented as a directed acyclic graph of entities interconnected by edges. The entities may be of multiple types. Yet, a broad range of interactive documents may be represented by a limited number of types of entities and the capabilities to interconnect entities of different types and to share a data schema across entities of different types. A tool may enable a user to author such documents. The tool may also facilitate publishing of the document. For publishing, the document may be converted to an executable form. Prior to such a conversion, the graph may be modified for more efficient processing. The graph may also be partitioned such that portions of the graph, when distributed across tiers of a computing system, such as a cloud-based platform, execute on computing devices that provide efficient operation.

Abstract: Techniques for representing and publishing an interactive document useful for analyzing data. The document may be represented as a directed acyclic graph of entities interconnected by edges. The entities may be of multiple types. Yet, a broad range of interactive documents may be represented by a limited number of types of entities and the capabilities to interconnect entities of different types and to share a data schema across entities of different types. A tool may enable a user to author such documents. The tool may also facilitate publishing of the document. For publishing, the document may be converted to an executable form. Prior to such a conversion, the graph may be modified for more efficient processing. The graph may also be partitioned such that portions of the graph, when distributed across tiers of a computing system, such as a cloud-based platform, execute on computing devices that provide efficient operation.

Abstract: Triangulating quadrilaterals. A method includes accessing an irregular grid comprising a plurality of irregular quadrilaterals. A determination is made that each of the irregular quadrilaterals in the irregular grid is not a concave and is a convex quadrilateral. On a grid basis and as a result of determining that each of the irregular quadrilaterals in the irregular grid is not a concave and is a convex quadrilateral, each of the irregular quadrilaterals in the irregular grid is triangulated to create a triangular mesh by defining diagonals from at least one vertex point of each of the irregular quadrilaterals in the irregular grid to the diagonally opposed vertex point of the same irregular quadrilateral. The triangular mesh is stored in a computer readable storage medium that can be accessed by an application for performing tasks related to data visualization, computer graphics, computational geometry, etc.

Abstract: Techniques for representing and publishing an interactive document useful for analyzing data. The document may be represented as a directed acyclic graph of entities interconnected by edges. The entities may be of multiple types. Yet, a broad range of interactive documents may be represented by a limited number of types of entities and the capabilities to interconnect entities of different types and to share a data schema across entities of different types. A tool may enable a user to author such documents. The tool may also facilitate publishing of the document. For publishing, the document may be converted to an executable form. Prior to such a conversion, the graph may be modified for more efficient processing. The graph may also be partitioned such that portions of the graph, when distributed across tiers of a computing system, such as a cloud-based platform, execute on computing devices that provide efficient operation.

Abstract: Techniques for representing and publishing an interactive document useful for analyzing data. The document may be represented as a directed acyclic graph of entities interconnected by edges. The entities may be of multiple types. Yet, a broad range of interactive documents may be represented by a limited number of types of entities and the capabilities to interconnect entities of different types and to share a data schema across entities of different types. A tool may enable a user to author such documents. The tool may also facilitate publishing of the document. For publishing, the document may be converted to an executable form. Prior to such a conversion, the graph may be modified for more efficient processing. The graph may also be partitioned such that portions of the graph, when distributed across tiers of a computing system, such as a cloud-based platform, execute on computing devices that provide efficient operation.

Abstract: A content author provides content to be displayed, including some content elements for which display is conditional on the state of the machine in which the content will be viewed. The conditional statements controlling the display of these content elements, in one embodiment refer to states provided by a state monitor. The state may refer to the state of any aspect of the viewing environment, including hardware, software, firmware, user preferences, software operating modes, and any other detectable state. The resulting content is optionally combined with other similar content via a structural transform. This content is transformed with a presentation transform. One of the transforms checks the states and resolves the conditional statements included by the content author. The result of the transforms is presentation data. A display of this presentation data includes the content which, according to the conditional statements and the state of the viewing environment is appropriate for display.

Abstract: Content including links to behaviors (code which can be executed and return supplemental content for insertion, or can modify existing content) is stored, and at run-time, the links to behaviors are followed and the supplemental content or the modifications to existing comment are used to create a final version of content which will be presented to the user. Security enhancements including a security check ensure that only behaviors which are secure will be run. Default content may be provided, which may be inserted if the security check is not passed, or if the content returned from the behavior is unusable for some reason.

Abstract: Triangulating quadrilaterals. A method includes accessing an irregular grid comprising a plurality of irregular quadrilaterals. A determination is made that each of the irregular quadrilaterals in the irregular grid is not a concave and is a convex quadrilateral. On a grid basis and as a result of determining that each of the irregular quadrilaterals in the irregular grid is not a concave and is a convex quadrilateral, each of the irregular quadrilaterals in the irregular grid is triangulated to create a triangular mesh by defining diagonals from at least one vertex point of each of the irregular quadrilaterals in the irregular grid to the diagonally opposed vertex point of the same irregular quadrilateral. The triangular mesh is stored in a computer readable storage medium that can be accessed by an application for performing tasks related to data visualization, computer graphics, computational geometry, etc.