Abstract: The present disclosure relates to aggregating and sharing wellness data. The wellness data can be received by a user device from any number of sensors external or internal to the user device, from a user manually entering the wellness data, or from other users or entities. The user device can securely store the wellness data on the user device and transmit the wellness data to be stored on a remote database. A user of the device can share some or all of the wellness data with friends, relatives, caregivers, healthcare providers, or the like. The user device can further display a user's wellness data in an aggregated view of different types of wellness data. Wellness data of other users can also be viewed if authorizations from those users have been received.

Abstract: A method and system for determining blended histogram shape identifiers. A blended set of possible histogram shapes is created by selecting generated histogram shapes from a first generated set of all possible histogram shapes generated with a first method that include highest order rankings from a first pre-determined ranking order and generated histogram shapes from a second set of all possible histogram shapes generated with a second method that include highest rankings from a second pre-determined ranking order. A graphical histogram is displayed using the third blended set of all possible histogram shapes, thereby creating the graphical histogram with a new set of all possible histogram shapes based on an aggregate rakings order of histogram shapes generated with the first and second methods.

Abstract: A method and system for determining blended histogram shape identifiers. A blended set of possible histogram shapes is created by selecting generated histogram shapes from a first generated set of all possible histogram shapes generated with a first method that include highest order rankings from a first pre-determined ranking order and generated histogram shapes from a second set of all possible histogram shapes generated with a second method that include highest rankings from a second pre-determined ranking order. A graphical histogram is displayed using the third blended set of all possible histogram shapes, thereby creating the graphical histogram with a new set of all possible histogram shapes based on an aggregate rakings order of histogram shapes generated with the first and second methods.

Abstract: A method and system for determining histogram density estimators for data samples. A supremum and/or infimum of a likelihood function of histogram densities for each histogram shape in a generated set of all possible histogram shapes is determined. The supremum and/or infimum is a statistical estimate that maximizes and/or minimizes a likelihood function among a set of histogram density functions having a same histogram shape.

Abstract: A method and system for determining histogram density estimators for data samples. A supremum and/or infimum of a likelihood function of histogram densities for each histogram shape in a generated set of all possible histogram shapes is determined.

Abstract: A method and system for determining histograms and histogram appearances from small data samples. The method and system determine relevant histogram appearances (i.e., bin frequency lists) for uniform bin width sample histograms, exactly determine error minimizing histogram density estimators and determine histogram appearance reversals and mode inversions.

Abstract: A method and system for determining histograms and histogram appearances from small data samples. The method and system determine relevant histogram appearances (i.e., bin frequency lists) for uniform bin width sample histograms, exactly determine error minimizing histogram density estimators and determine histogram appearance reversals and mode inversions.

Abstract: Histograms are widely used to explore data, to present data, and to persuade with data. A method and system for identifying all possible histograms from a data sample using histogram appearances. The method and system includes determining all possible one dimensional histogram appearances for a transformed data sample using constant width intervals and for multidimensional appearances with data cell boundaries that are parallel as well as not parallel to data space axes together with multiple conditions on the interval widths for each dimension or transformed dimension.

Abstract: A faucet spout for dispensing a fluid includes a first capillary for transporting a first fluid in the faucet spout, a second capillary for transporting a second fluid in the faucet spout and a mixer at a the expulsive end of the faucet spout for mixing the first fluid and the second fluid. The first capillary may be substantially D shaped, and the second capillary may be substantially D shaped. The first capillary may be substantially circular shaped, and the second capillary may be substantially circular shaped. The first capillary may be coaxial with the second capillary, or the first capillary may not be coaxial with the second capillary. The faucet spout may include a third capillary, and the third capillary may not be coaxial with the first capillary or the second capillary.