In this paper we introduce indeed two alternative formulations of the theory of evidence by proving that both plausibility and commonality functions share the same combinatorial structure of sum function of belief functions, and computing their Moebius inverses called basic plausibility and commonality assignments. As they are discovered through geometric methods, the latter inherit the same si...

This library manipulates ensembles of cycles (quadrics), which are interrelated through certain geometric relations (to be orthogonal, to be tangent, etc.). The code operates with numeric and symbolic data of cycles in spaces of arbitrary dimensionality and metrics with any signatures. In the two-dimensional case illustrations and animations can be produced.

A síndrome de Moebius é caracterizada por apresentar paralisia, geralmente bilateral, do nervo facial, sendo possível o acometimento outras estruturas faciais. etiologia não claramente definida, a SM pode ocorrer devido uma alteração vascular durante desenvolvimento embrionário que produz isquemia ao nível dos núcleos nervos cranianos com subsequente hipoplasia, além disso, estar relacionada us...

In this paper, we show how to construct graph theoretical models of n-dimensional continuous objects and manifolds. These models retain topological properties of their continuous counterparts. An LCL collection of n-cells in Euclidean space is introduced and investigated. If an LCL collection of n-cells is a cover of a continuous n-dimensional manifold then the intersection graph of this cover ...

There is several known algorithm to construct concept lattices. The question is, how could we simplify this lattice into concepts, that are important and have selected features. According to “A Theory of Diversity”, we can compute the diversity of a set of objects recursively from the pairwise dissimilarities between its elements. Using Conjugate Möebius Inverse, we can compute weights of each ...

BACKGROUND Moebius Sequence (MS) is a rare disorder defined by bilateral congenital paralysis of the abducens and facial nerves in combination with various odontological, craniofacial, ophthalmological and orthopaedic conditions. The aetiology is still unknown; but both genetic (de novo mutations) and vascular events in utero are reported. The purpose of present study was through a multidiscipl...