Various characterizations of distributions, in their generality, are presented in terms of the conditional expectations. Some special  examples are given as well.

‎We present some existence and convergence results for a general class of nonexpansive mappings in partially ordered hyperbolic metric spaces‎. ‎We also give some examples to show the generality of the mappings considered herein.

The optimality approach to modeling natural selection has been criticized by many biologists and philosophers of biology. For instance, Lewontin (1979) argues that the optimality approach is a shortcut that will be replaced by models incorporating genetic information, if and when such models become available. In contrast, I think that optimality models have a permanent role in evolutionary stud...

Synchronization in neuronal systems is a new and intriguing application of dynamical systems theory. Why are neuronal systems different as a subject for synchronization? (1) Neurons in themselves are multidimensional nonlinear systems that are able to exhibit a wide variety of different activity patterns. Their "dynamical repertoire" includes regular or chaotic spiking, regular or chaotic burst...

The assessment of behavioral rules with respect to a given dataset is key in several research areas, including declarative process mining, association rule and specification mining. An required check how well set discovered describes the input data, determine what extent data complies predefined rules. Particularly Support Confidence are used most often, yet they reportedly unable provide suffi...