Morphological analysis must take into account the spelling-change processes of a language as well as its possible configurations of stems, affixes, and inflectional markings. The computational difficulty of the task can be clarified by investigating specific models of morphological processing. The use of finite-state machinery in the "two-level" model by Kimmo Koskenniemi gives it the appearanc...

We investigate the notion of dilation of a propositional theory based on neighbourhoods in a generalized approximation space. We take both a semantic and a syntactic approach in order to define a suitable notion of theory dilation in the context of approximate reasoning on the one hand, and a generalized notion of forgetting in propositional logic on the other hand. We place our work in the con...

We prove that, if a mild condition on the hyperbolicity of the periodic points holds for any diffeomorphism in a residual subset of a C-open set U , then such set U exhibits a residual subset A of Axiom A diffeomorphisms. We also prove an analogous result for nonsingular endomorphisms: if a mild expanding condition holds for the periodic set of local diffeomorphisms belonging in a residual subs...

In part 1 of this paper, newly identified logical errors in the derivations that yield Einstein’s Special and General Theories of Relativity are discussed. These errors are much more significant than those identified by Fock. The basic philosophy of science used as a foundation for these theories is identified. The philosophy of the privileged observer is detailed. Part 1 concludes with a brief...

We previously demonstrated that it is possible to learn position-independent responses to rotation and dilation by filtering rotations and dilations with different centers through an input layer with MT-like speed and direction tuning curves and connecting them to an MSTlike layer with simple Hebbian synapses (Sereno and Sereno 1991). By analyzing an idealized version of the network with broade...

A mathematical framework is proposed to predict the features of the (5 5 7) lath transformation in low-carbon steels based on energy minimisation. This theory generates a one-parameter family of possible habit plane normals and a selection mechanism then identifies the (5 5 7) normals as those arising from a deformation with small atomic movement and maximal compatibility. While the calculation...

Connected morphological operators act o n the level of the f la t zones of a n image, i.e., the connected regions where the grey-level i s constant. For binary i m ages, the f la t zones are the foreground and background grains (connected components) of the image. T h e f lat zones constitute a partition of the underlying space. A connected operator is a n operator that makes this part i t ion ...

When segmenting magnetic resonance (MR) images, a wide range of useless information arises, which has to be discarded as a step prior to classifying the different cerebral cortex areas. To obtain effective results during the classification process, it is necessary to work with images solely containing the brain and eliminate the cranium and surrounding meninges. This work introduces an automati...

Natural and synthetic discrete images are generally not wellcomposed, leading to many topological issues: connectivities in binary images are not equivalent, the Jordan Separation theorem is not true anymore, and so on. Conversely, making images well-composed solves those problems and then gives access to many powerful tools already known in mathematical morphology as the Tree of Shapes which i...

This paper uses the notion of control from programming languages to look at the organization of mental code. Data for the analysis comes principally from language breakdown. The paper first outlines the well known distinction between logic and control in algorithms and argues that the same distinction holds in mental code. Discussion then focuses mainly on control—the management of data flow—an...