Abstract: A database system enumerates one-column candidate referential integrities (1CRIs) from a plurality of input columns in one or more relations. The database system applies one or more disqualification tests to the 1CRIs to eliminate illegitimate 1CRIs resulting in a list of non-disqualified 1CRIs, wherein the disqualification tests are applied to an 1CRI being tested (hereinafter (A*,B*), A* representing a set of values of a referenced column or columns and B* representing a set of values of a referencing column or columns) until (A*,B*) is disqualified or until all of the disqualification tests have been executed and (A*,B*) has not been disqualified, in which case (A*,B*) is added to the list of non-disqualified 1CRIs, wherein each of the disqualification tests reduces the likelihood of incorrectly adding (A*,B*) to the list of non-disqualified 1CRIs.

Abstract: Magnesium-based cements (in particular, magnesium oxychloride (MOC) cement) are synthesized with a salt (magnesium chloride for MOC cement), water, and magnesium oxide. In this invention the salt is sourced from a waste brine. To the brine is added a base, for example a hydroxide or magnesium oxide. Carbon dioxide is then bubbled through the brine. Calcium carbonate precipitates out of solution. The brine is then left to cure and form cement. Optionally, calcium carbonate precipitate can be added back to (or left in) the brine prior to curing as a filler.

Abstract: Magnesium-based cements (in particular, magnesium oxychloride (MOC) cement) are synthesized with a salt (magnesium chloride for MOC cement), water, and magnesium oxide. In this invention the salt is sourced from a waste brine. To the brine is added a base, for example a hydroxide or magnesium oxide. Carbon dioxide is then bubbled through the brine. Calcium carbonate precipitates out of solution. The brine is then left to cure and form cement. Optionally, calcium carbonate precipitate can be added back to (or left in) the brine prior to curing as a filler.

Abstract: The disclosure relates to a method for bills to be paid automatically from sources of income. The disclosure also relates to a method for determining a risk of credit loss associated with paying recurring bills through direct deposit repayments. An example method includes collecting one or more data associated with one or more customers; receiving historical data; creating a model based on the historical data; predicting one or more activities of the one or more customers based on the one or more data and the model; determining a risk of credit loss associated with the one or more customers based on the prediction of the one or more activities; and providing the risk of credit loss to one or more billers.

Abstract: A system and message for message selection and presentation, including: receiving a request for content, wherein the request is associated with a context account of a messaging platform; identifying a set of unviewed messages associated with the context account; identifying grouping criteria for grouping content based on messages; applying, by a computer processor, the grouping criteria to the unviewed messages to generate a content group, wherein the content group is associated with a subset of the unviewed messages; and providing at least a portion of the content group in response to the request.

Abstract: Improved techniques for performing Matrix-Related operations (e.g., Matrix Multiplication, Matrix Transpose) in Relational Database systems are disclosed. Techniques provide Matrix Data Sets for performing Matrix-Related operations in Relational Databases more efficiently than conventional techniques. By way of example, Matrix Data can be partitioned such that data each partition can be processed directly in a cache memory of a processor thereby reducing the need for copying data as it is conventionally done in Relational Databases. In addition, database queries involving Matrix-Related operations can be optimized for a Relational Database by providing Matrix Operations that can be directly used as declarative statements in a Database Query language (e.g., SQL).

Abstract: Anticaking agents for inhibiting or preventing caking of inorganic salt granules are provided. The anticaking agents comprise a coordination complex of iron and a salt anion of an organic acid, wherein the salt anion is selected from the group consisting of malate, polyacrylate, diphosphonate, and mixtures thereof. Free-flowing, solid salt compositions resistant to caking are also described herein, along with methods of melting ice and/or snow on a surface or inhibiting the accumulation or formation of ice and/or snow on a surface, and methods of preventing or inhibiting caking of solid inorganic salt granules.

Abstract: A system and message for message selection and presentation, including: receiving a request for content, wherein the request is associated with a context account of a messaging platform; identifying a set of unviewed messages associated with the context account; identifying grouping criteria for grouping content based on messages; applying, by a computer processor, the grouping criteria to the unviewed messages to generate a content group, wherein the content group is associated with a subset of the unviewed messages; and providing at least a portion of the content group in response to the request.

Abstract: Novel water softening products and methods of treating hard water are provided. The products comprise a salt and a metal chelating agent. The products are useful for regenerating ion exchange material in a water softening system and providing softened water containing both sodium and potassium ions, while having dramatically increased efficiencies over prior art products.

Abstract: A system and message for message selection and presentation, including: receiving a request for content, wherein the request is associated with a context account of a messaging platform; identifying a set of unviewed messages associated with the context account; identifying grouping criteria for grouping content based on messages; applying, by a computer processor, the grouping criteria to the unviewed messages to generate a content group, wherein the content group is associated with a subset of the unviewed messages; and providing at least a portion of the content group in response to the request.

Abstract: An attachment lock (27) for a prosthetic limb including a housing (28) having an opening (32) for insertion of a prosthetic locking pin (13). A locking member (29) is mounted within the housing (28) and is arranged releasably to secure an inserted locking pin (13). The lock (27) includes means (35) to adjust the position of the locking member (29) relative to the housing (28) along the axis of an inserted locking pin (13).

Abstract: Novel water softening products and methods of treating hard water are provided. The products comprise a salt and a metal chelating agent. The products are useful for regenerating ion exchange material in a water softening system and providing softened water containing both sodium and potassium ions, while having dramatically increased efficiencies over prior art products.

Abstract: Novel water softening products and methods of treating hard water are provided. The products comprise a salt and a metal chelating agent. The products are useful for regenerating ion exchange material in a water softening system and providing softened water containing both sodium and potassium ions, while having dramatically increased efficiencies over prior art products.

Abstract: Novel water softening products and methods of treating hard water are provided. The products comprise a chloride-free, organic salt and a chelating agent. The products are useful for regenerating ion exchange material in a water softening system and providing softened water containing both sodium and potassium ions, while avoiding the formation of undesirable precipitates (e.g., low Ksp byproducts).

Abstract: An activation device for a patient alarm system. The activation device comprises a resiliently deformable bladder defining an internal volume and a pressure switch in fluid communication with the internal volume and connected to an alarm system. Squeezing the resiliently deformable bladder operates the pressure switch, which activates the alarm system.

Abstract: An attachment lock (27) for a prosthetic limb including a housing (28) having an opening (32) for insertion of a prosthetic locking pin (13). A locking member (29) is mounted within the housing (28) and is arranged releasably to secure an inserted locking pin (13). The lock (27) includes means (35) to adjust the position of the locking member (29) relative to the housing (28) along the axis of an inserted locking pin (13).

Abstract: Novel water softening products and methods of treating hard water are provided. The products comprise a salt and a metal chelating agent. The products are useful for regenerating ion exchange material in a water softening system and providing softened water containing both sodium and potassium ions, while having dramatically increased efficiencies over prior art products.

Abstract: This invention relates to a propulsive unit for an aircraft, comprising: a nacelle which defines a duct for channeling an airflow when in use and which provides an outwardly facing surface of the propulsive unit, the outwardly facing surface having an aerodynamic shape; a fan unit for accelerating the airflow within the duct when in use; wherein the duct has an inlet and an outlet and the nacelle is operable to adjust the either or both of the area of the inlet and outlet while substantially retaining the aerodynamic shape of the outwardly facing surface.

Abstract: A power plant analyzer for analyzing a plurality of power plants, comprising: an analyzing apparatus for analyzing a first parameter indicative of fuel flow to a first power plant, a second parameter indicative of fuel burned in the first power plant, a third parameter indicative of fuel flow to a second power plant and a fourth parameter indicative of fuel burned in the second power plant; and an alert generation apparatus, responsive to the analyzing apparatus, for generating an alert for the first or the second power plant, and wherein analyzing the first, second, third and fourth parameters comprises carrying out a differential analysis between the first and third parameters to produce a first result, and to carry out a differential analysis between the second and fourth parameters to produce a second result, and comparing the first and second results.

Abstract: Anticaking agents for inhibiting or preventing caking of inorganic salt granules are provided. The anticaking agents comprise a coordination complex of iron and a salt anion of an organic acid, wherein the salt anion is selected from the group consisting of malate, polyacrylate, diphosphonate, and mixtures thereof. Free-flowing, solid salt compositions resistant to caking are also described herein, along with methods of melting ice and/or snow on a surface or inhibiting the accumulation or formation of ice and/or snow on a surface, and methods of preventing or inhibiting caking of solid inorganic salt granules.