Abstract: Venn diagrams are computed for a given plurality of input sets. The process of computing the Venn diagrams is executed on columnar database systems for efficient execution. The computation of various subsets of the Venn diagrams is performed by determining subsets of various combinations of the input sets and computing set differences of the intersection sets. The process orders the execution of various steps of computing the subsets for the Venn diagram in an order that reduces the number of times an input set is loaded. Information describing various subsets of a Venn diagram is used to render the Venn diagram for display, for example, on a client device.

Abstract: Cross-tabulation operation is performed within a columnar database management system. The columnar database management system receives a request to perform a cross-tabulation operation on a set of database tables. The columnar database management system determines values of cross-tabulation operation for each row of the result. The columnar database management system determines a domain for each value of the row dimension corresponding to a row combination. The columnar database management system determines an intersection set of the domains corresponding to values of the row dimensions for the row combination. The columnar database management system determines a value for the result column for the row combination as an aggregate value based on the records of the intersection set.

Abstract: Cross tabulation operation is performed within a columnar database management system. The columnar database management system receives a request to perform a cross-tabulation operation on a set of database tables. The columnar database management system determines values of cross tabulation operation for each row of the result. The columnar database management system determines a domain for each value of the row dimension corresponding to a row combination. The columnar database management system determines an intersection set of the domains corresponding to values of the row dimensions for the row combination. The columnar database management system determines a value for the result column for the row combination as an aggregate value based on the records of the intersection set.

Abstract: Venn diagrams are computed for a given plurality of input sets. The process of computing the Venn diagrams is executed on columnar database systems for efficient execution. The computation of various subsets of the Venn diagrams is performed by determining subsets of various combinations of the input sets and computing set differences of the intersection sets. The process orders the execution of various steps of computing the subsets for the Venn diagram in an order that reduces the number of times an input set is loaded. Information describing various subsets of a Venn diagram is used to render the Venn diagram for display, for example, on a client device.

Abstract: Cross tabulation operation is performed within a columnar database management system. The columnar database management system receives a request to perform a cross-tabulation operation on a set of database tables. The columnar database management system determines values of cross tabulation operation for each row of the result. The columnar database management system determines a domain for each value of the row dimension corresponding to a row combination. The columnar database management system determines an intersection set of the domains corresponding to values of the row dimensions for the row combination. The columnar database management system determines a value for the result column for the row combination as an aggregate value based on the records of the intersection set.

Abstract: Data mining operations are performed within a columnar database management system. The columnar database management system stores input sets of data for a data mining operation. An input set of data is represented as a column of data in the columnar database management system. The columnar database management system stores instructions to perform one or more data mining operations for processing the input sets of data. The columnar database management system receives requests for performing data mining operations and performs the processing of the data mining operation within the columnar database management system. As a result, the processing of data mining operations is performed without requiring multiple data transfers between an application implementing the data mining operations and the columnar database management system.