New Axiomatizations and an Implementation of the Shapley Value

Some new axiomatic characterizations and recursive formulas of the Shapley value are presented. In the results, dual games and the self-duality of the value implicitly play an important role. A set of non-cooperative games which implement the Shapley value on the class of all games is given.Shapley value;axiomatization;implementation

Monte Carlo and molecular dynamics studies for the colour rewritable films

The structure of the developers plays an important role in the colouring/decolouring process for the colour rewritable films. We study the chain-like polymers structure of the developer through both the Monte Carlo and molecular dynamics simulations. In these simulations we focus our attention on the thermal (temperature) effects as well as the effective interaction between developers (chain-like polymers), and with these how the lamellar structure can be constructed when the system is quenched from high temperature (low density) to low temperature (high density). We found the transition of the states from a disordered state to an aggregated state at a temperature (282 K). We obtained the lamellar structure in a preferable condition of the potential parameter, while in either smaller or larger interactions, it is rather difficult for the developer chains to form lamellar structures.Структура проявників відіграє важливу роль в процесі забарвлення/знебарвлення для кольорових записуючих плівок. Ми вивчаємо ланцюжковоподібну полімерну структуру проявника методом Монте Карло і молекулярної динаміки. В цих моделюваннях ми зосереджуємо увагу як на термічних (температурних) ефектах так і на ефективній взаємодії між проявниками (ланцюжково подібними полімерами) і на тому як шарувата структура може бути сконструйована, коли система є різко охолоджена від високої температури (низької густини) до низької температури (високої густини). Ми знайшли перехід станів з невпорядкованого стану до агрегатного стану при температурі (282 К). Ми отримали шарувату структуру при певній умові потенціального параметра, тоді як при слабких і сильних взаємодіях шарувата структура проявника формується важко

Listeria monocytogenes in Milk Products

peer-reviewedMilk and milk products are frequently identified as vectors for transmission of Listeria monocytogenes. Milk can be contaminated at farm level either by indirect external contamination from the farm environment or less frequently by direct contamination of the milk from infection in the animal. Pasteurisation of milk will kill L. monocytogenes, but post-pasteurisation contamination, consumption of unpasteurised milk and manufacture of unpasteurised milk products can lead to milk being the cause of outbreaks of listeriosis. Therefore, there is a concern that L. monocytogenes in milk could lead to a public health risk. To protect against this risk, there is a need for awareness surrounding the issues, hygienic practices to reduce the risk and adequate sampling and analysis to verify that the risk is controlled. This review will highlight the issues surrounding L. monocytogenes in milk and milk products, including possible control measures. It will therefore create awareness about L. monocytogenes, contributing to protection of public health

New Axiomatizations and an Implementation of the Shapley Value

Some new axiomatic characterizations and recursive formulas of the Shapley value are presented. In the results, dual games and the self-duality of the value implicitly play an important role. A set of non-cooperative games which implement the Shapley value on the class of all games is given.

On the Uniqueness of Meromorphic Functions Sharing Three-Point Sets IM

We show that if two meromorphic functions on the complex plane shring some three-point sets IM, then they are identical under some conditions