On Cantrell-Rosalsky's strong laws of large numbers

Starting from a result of almost sure (a.s.) convergence for nonnegative random variables, a simplified proof of a strong law of large numbers (SLLN) established in ([Cantrell, A., Rosalsky, A., 2003. Some strong law of large numbers for Banach space valued summands irrespective of their joint distributions. Stochastic Anal. Appl. 21, 79-95], Theorem 1) for random elements in a real separable Banach space is presented, and some other results of a.s. convergence related to SLLNs in ([Cantrell, A., Rosalsky, A., 2004. A strong law for compactly uniformly integrable sequences of independent random elements in Banach spaces. Bull. Inst. Math. Acad. Sinica 32, 15-33], Th. 3.1) and ([Cantrell, A., Rosalsky, A., 2003. Some strong law of large numbers for Banach space valued summands irrespective of their joint distributions. Stochastic Anal. Appl. 21, 79-95], Theorem 2) are derived. No conditions of independence or on the joint distribution of random elements are required. Likewise, no geometric condition on the Banach space where random elements take values is imposed. Some applications to weighted (for an array of constants) sums of random elements and to the case of random sets are also considered.

The nursing vocation as political participation for women during the Spanish Civil War

This article is centred on an analysis of women in the Spanish Civil War, with particular emphasis on their role as nurses. The purpose is to provide an alternative approach to the Spanish Civil War by moving away from the typical examination of the conflict as fought between two homogeneous factions and concentrating on a broader ideological spectrum. The speed with which nurses were trained by institutions such as the Spanish Red Cross and the different trade unions that collaborated with the Government of the Republic gives us a relevant sample of the different approaches to the notion of vocation. The vocation of the women of the Red Cross and of the nurses of Mujeres Libres (the Anarchist Women's Association) will be examined so as to establish the relationship between these practices and the moral stance that originated in the nursing principles of the nineteenth century. Whereas the virtues of Red Cross nurses were defined by values such as self-sacrifice and Christian charity, the Mujeres Libres nurses included a social commitment to revolutionary change and their vocation was founded on the principle of work and had nothing to do with the charity of the religious orders. Finally, the analysis of this concept of vocation in nursing will be seen not only as moral behaviour (ethos), but also as passion (pathos), thus revealing the different political options facing Spanish women during the Spanish Civil War

The binomial-neighbour instance-based learner on a multiclass performance measure scheme

This paper presents a novel instance-based learning methodology the Binomial-Neighbour (B-N) algorithm. Unlike to other k-Nearest Neighbour algorithms, B-N employs binomial search through vectors of statistical features and distance primitives. The binomial combinations derived from the search with best classification accuracy are distinct primitives which characterise a pattern. The statistical features employ a twofold role; initially to model the data set in a dimensionality reduction preprocessing, and finally to exploit these attributes to recognise patterns. The paper introduces as well a performance measure scheme for multiclass problems using type error statistics. We harness this scheme to evaluate the B-N model on a benchmark human action dataset of normal and aggressive activities. Classification results are being compared with the standard IBk and IB1 models achieving significantly exceptional recognition performance