the ordinary tensor product of modules is defined using bilinear maps (bimorphisms), that are linear in eachcomponent. keeping this in mind, linton and banaschewski with nelson defined and studied the tensor product in an equational category and in a general (concrete) category k, respectively, using bimorphisms, that is, defined via the hom-functor on k. also, the so-called sesquilinear, or on...

This paper presents a new version of the High Dimensional Model Representation (HDMR) which attempts to approximate a given multivariate function by an expansion starting from a constant term and continuing by adding univariate components and then the terms whose multivariances increase via bivariance, trivariance and so on. HDMR works well as long as the function under consideration behaves, m...

First order phase transitions are described in terms of the microcanonical and canonical ensemble, with special attention to finite size effects. Difficulties in interpreting a " caloric curve " are discussed. A robust parameter indicating phase coexistence (univariance) or single phase (bivariance) is extracted for charge distributions. 1 Phase transitions, phase coexistence, and charge distri...