The following dichotomy is established for any pair F, G of hereditary families of finite subsets of N: Given N, an infinite subset of N, there exists M an infinite subset of N so that either ...

The standard decomposition theorem for additive and multiplicative utility functions (Pollak 1967, Keeney 1974) assumes that the outcome set is a whole product set. In this paper this assumption is ...

You have /5 articles left. Sign up for a free account or log in. You may have seen what math folks call “Venn Diagrams”. These illustrate sets and subsets using ...

Although the curse of dimensionality is a well-known problem, the statistical component of this problem, which renders clustering outcomes invalid, has not been properly recognized in flow and mass ...