Topological structures of complex belief systems

The concepts of substantive beliefs and derived beliefs are defined, a set of substantive beliefs S like open set and the neighborhood of an element substantive belief. A semantic operation of conjunction is defined with a structure of an Abelian group. Mathematical structures exist such as poset beliefs and join-semilattttice beliefs. A metric space of beliefs and the distance of belief depending on the believer are defined. The concepts of closed and opened ball are defined. S′ is defined as subgroup of the metric space of beliefs Σ and S′ is a totally limited set. The term s is defined (substantive belief) in terms of closing of S′. It is deduced that Σ is paracompact due to Stone's Theorem. The pseudometric space of beliefs is defined to show how the metric of the nonbelieving subject has a topological space like a nonmaterial abstract ideal space formed in the mind of the believing subject, fulfilling the conditions of Kuratowski axioms of closure. To establish patterns of materialization of beliefs we are going to consider that these have defined mathematical structures. This will allow us to understand better cultural processes of text, architecture, norms, and education that are forms or the materialization of an ideology. This materialization is the conversion by means of certain mathematical correspondences, of an abstract set whose elements are beliefs or ideas, in an impure set whose elements are material or energetic. Text is a materialization of ideology.

A grammatical approach to the modeling of an autonomous robot

Virtual Worlds Generator is a grammatical model that is proposed to define virtual worlds. It integrates the diversity of sensors and interaction devices, multimodality and a virtual simulation system. Its grammar allows the definition and abstraction in symbols strings of the scenes of the virtual world, independently of the hardware that is used to represent the world or to interact with it. A case study is presented to explain how to use the proposed model to formalize a robot navigation system with multimodal perception and a hybrid control scheme of the robot. The result is an instance of the model grammar that implements the robotic system and is independent of the sensing devices used for perception and interaction. As a conclusion the Virtual Worlds Generator adds value in the simulation of virtual worlds since the definition can be done formally and independently of the peculiarities of the supporting devices.

Professionals’ Perceptions of Support Resources for Battered Immigrant Women Chronicle of an Anticipated Failure

The aim of this study was to explore the experience of service providers in Spain regarding their daily professional encounters with battered immigrant women and their perception of this group’s help-seeking process and the eventual abandonment of the same. Twenty-nine in-depth interviews and four focus group discussions were conducted with a total of 43 professionals involved in providing support to battered immigrant women. We interviewed social workers, psychologists, intercultural mediators, judges, lawyers, and public health professionals from Spain. Through qualitative content analysis, four categories emerged: (a) frustration with the victim’s decision to abandon the help-seeking process, (b) ambivalent positions regarding differences between immigrant and Spanish women, (c) difficulties in the migratory process that may hinder the help-seeking process, and (d) criticisms regarding the inefficiency of existing resources. The four categories were cross-cut by an overarching theme: helping immigrant women not to abandon the help-seeking process as a chronicle of anticipated failure. The main reasons that emerged for abandoning the help-seeking process involved structural factors such as economic dependence, loss of social support after leaving their country of origin, and limited knowledge about available resources. The professionals perceived their encounters with battered immigrant women to be frustrating and unproductive because they felt that they had few resources to back them up. They felt that despite the existence of public policies targeting intimate partner violence (IPV) and immigration in Spain, the resources dedicated to tackling gender-based violence were insufficient to meet battered immigrant women’s needs. Professionals should be trained both in the problem of IPV and in providing support to the immigrant population.