Abstract: A system transmits a target data file as a set of mathematical functions and data values representative of the target data file to a receiver, the system comprising at least one hardware processor and memory storing computer instructions, the computer instructions when executed by the at least one hardware processor configured to cause the system to identify a target bit pattern of a target data file; generate a set of mathematical functions and data values operative to generate the target bit pattern; and transmit the set of mathematical functions and data values to a receiver, which can use the set of mathematical functions and data values to generate the target data file.

Abstract: A system transmits a target data file as a set of mathematical functions and data values representative of the target data file to a receiver, the system comprising at least one hardware processor and memory storing computer instructions, the computer instructions when executed by the at least one hardware processor configured to cause the system to identify a target bit pattern of a target data file; generate a set of mathematical functions and data values operative to generate the target bit pattern; and transmit the set of mathematical functions and data values to a receiver, which can use the set of mathematical functions and data values to generate the target data file.

Abstract: A system transmits a target data file as a set of mathematical functions and data values representative of the target data file to a receiver, the system comprising at least one hardware processor and memory storing computer instructions, the computer instructions when executed by the at least one hardware processor configured to cause the system to identify a target bit pattern of a target data file; generate a set of mathematical functions and data values operative to generate the target bit pattern; and transmit the set of mathematical functions and data values to a receiver, which can use the set of mathematical functions and data values to generate the target data file.

Abstract: A system transmits a target data file as a set of mathematical functions and data values representative of the target data file to a receiver, the system comprising at least one hardware processor and memory storing computer instructions, the computer instructions when executed by the at least one hardware processor configured to cause the system to identify a target bit pattern of a target data file; generate a set of mathematical functions and data values operative to generate the target bit pattern; and transmit the set of mathematical functions and data values to a receiver, which can use the set of mathematical functions and data values to generate the target data file.

Abstract: A system comprises a processor with one or more cores; and memory including instructions to configure the processor to perform the method comprising receiving a data set of a data length; determining a bit pattern of the data set; generating a reference set of bit patterns, the set being of a set length, the set length being equivalent to the data length, the set of bit patterns including every possible different bit pattern from all zeros to all ones; determining a first test bit pattern using a first bit pattern generation function applied to test data; determining a distance between the first test bit pattern and the bit pattern of the data set using a location of the first test bit pattern and a location of the bit pattern of the data set, the locations being relative to the reference set of bit patterns; iterating the first test pattern generation function in a direction of the bit pattern of the data set and combining the first test pattern generation function with at least one second test pattern gener

Abstract: A computer-implemented database and method providing an efficient, ordered reduced space representation of multi-dimensional data. The data values for each attribute are stored in a manner that provides an advantage in, for example space usage and/or speed of access, such as in condensed form and/or sort order. Instances of each data value for an attribute are identified by instance elements, each of which is associated with one data value. Connectivity information is provided for each instance element that uniquely associates each instance element with a specific instance of a data value for another attribute.

Abstract: Systems and methods for clustered access to as many columns as possible given a particular ongoing query mix and a constrained amount of disk space is disclosed. A compressed database is split into group of columns, each column having duplicates removed and being sorted. Then certain groups are transferred to a fast memory depending on the record of previously received queries.

Abstract: A computer-implemented database and method providing an efficient, ordered reduced space representation of multi-dimensional data. The data values for each attribute are stored in a manner that provides an advantage in, for example, space usage and/or speed of access, such as in condensed form and/or sort order. Instances of each data value for an attribute are identified by instance elements, each of which is associated with one data value. Connectivity information is provided for each instance element that uniquely associates each instance element with a specific instance of a data value for another attribute. In accordance with one aspect of the invention, low cardinality fields (attributes) may be combined into a single field (referred to as a “combined field”) having values representing the various combinations of the original fields. In accordance with another aspect of the invention, the data values for several fields may be stored in a single value list (referred to as a “union column”).

Abstract: A computer-implemented database and method providing an efficient, ordered reduced space representation of multi-dimensional data. The data values for each attribute are stored in a manner that provides an advantage in, for example, space usage and/or speed of access, such as in condensed form and/or sort order. Instances of each data value for an attribute are identified by instance elements, each of which is associated with one data value. Connectivity information is provided for each instance element that uniquely associates each instance element with a specific instance of a data value for another attribute. Low cardinality fields may be combined into a single field having values representing the various combinations of the original fields. In one embodiment, the “combined field” contains only instantiated combinations. In another embodiment, the combined field contains all values in the Cartesian product of the original fields, preferably in nested sort order.

Abstract: A computer-implemented database and method providing an efficient, ordered reduced space representation of multi-dimensional data. The data values for each attribute is stored in a manner that provides an advantage in, for example, space usage and/or speed of access, such as in sort order and/or condensed form. Instances of each data value for an attribute are identified by instance elements, each of which is associated with one data value. Connectivity information is provided for each instance element that uniquely associates each instance element with a specific instance of a data value for another attribute.

Abstract: A computer-implemented database and method providing an efficient, ordered reduced space representation of multi-dimensional data. The data values for each attribute is stored in a manner that provides an advantage in, for example, space usage and/or speed of access, such as in sort order and/or condensed form. Instances of each data value for an attribute are identified by instance elements, each of which is associated with one data value. Connectivity information is provided for each instance element that uniquely associates each instance element with a specific instance of a data value for another attribute.

Abstract: A computer-implemented database and method providing an efficient, ordered reduced space representation of multi-dimensional data. The data values for each attribute are stored in a manner that provides an advantage in, for example, space usage and/or speed of access, such as in condensed form and/or sort order. Instances of each data value for an attribute are identified by instance elements, each of which is associated with one data value. Connectivity information is provided for each instance element that uniquely associates each instance element with a specific instance of a data value for another attribute.

Abstract: A computer-implemented database and method providing an efficient, ordered reduced space representation of multi-dimensional data. The data values for each attribute are stored in a manner that provides an advantage in, for example, space usage and/or speed of access, such as in condensed form and/or sort order. Instances of each data value for an attribute are identified by instance elements, each of which is associated with one data value. Connectivity information is provided for each instance element that uniquely associates each instance element with a specific instance of a data value for another attribute. Low cardinality fields may be combined into a single field having values representing the various combinations of the original fields. In one embodiment, the “combined field” contains only instantiated combinations. In another embodiment, the combined field contains all values in the Cartesian product of the original fields, preferably in nested sort order.

Abstract: A computer-implemented database and method providing an efficient, ordered reduced space representation of multi-dimensional data. The data values for each attribute is stored in a manner that provides an advantage in, for example, space usage and/or speed of access, such as in sort order and/or condensed form. Instances of each data value for an attribute are identified by instance elements, each of which is associated with one data value. Connectivity information is provided for each instance element that uniquely associates each instance element with a specific instance of a data value for another attribute.