Abstract: A head covering and insignia display assembly is structured in a sports helmet configuration and includes at least one insignia representative of a sports team. More in particular, the head covering assembly is constructed of a foldable material to facilitate transport and, additionally, the foldable material is structured to be weather resistant to at least partially protect the user from the elements, such as cold and/or precipitation. The head covering and insignia display assembly may include one or more auxiliary members such as, for example, a chin strap, a neckpiece, a face mask, and/or a visor. Further, an auxiliary accessory such as an audio or visual communication device and/or an illumination device may be incorporated in a cooperative and operational association with the head covering and insignia display assembly.

Abstract: A method and system for approximating a value functions for cooperative games. The method and system include approximating value functions for large cooperative games. The method and the system may be applicable to other types of value function problems such as those found in engineering, finance and other disciplines.

Abstract: Historical data on the returns of a set of risky assets are resampled in each of a plurality of simulations to create sets of resampled risky asset return data. Simulated efficient investment portfolios of assets are assembled on a sheaf of efficient frontiers, one for each simulation. A set of intervals of a statistical input parameter (such as standard deviation) is defined. Each simulated efficient investment portfolios is assigned to an interval. A summary statistical procedure operates on all of the simulated investment portfolios associated with each interval, thereby deriving a resampled efficient investment portfolio. The resampled efficient investment portfolios reside on a resampled efficient frontier and are presented to an investor as a guide to making investments or are used as an input for other automated procedures.