Design of some crystal and quasicrystal networks, based on rhombellane tiling,is presented. [1,1,1]Propellane,is a synthesized organic molecule; its hydrogenated form, the bicyclo[1.1.1]pentane,may be represented by the complete bipartite graph K2,3 which is the smallest rhombellane. Topology of translational and radial structures involving rhombellanes is described in terms of vertex symbol, c...

The self-organizing map (SOM) represents an open set of input samples by a topologically organized, finite set of models. In this paper, a new version of the SOM is used for the clustering, organization, and visualization of a large database of symbol sequences (viz. protein sequences). This method combines two principles: the batch computing version of the SOM, and computation of the generaliz...

Subjects learned to map phrase-structure-defined strings onto ge~rnetric figure arrays. "String-generation" subjects produced symbol stnngs corresponding to arrays; "String-interpretation" subjects constructed arrays corresponding to strings. "Mixed" subjects alternated between these tasks. Subjects' knowledge of symbol sequence acceptability was periodically p~obed. Mixed subjects learned the ...

This paper is concerned with properties of the Mullineux map, which plays a rôle in p-modular representation theory of symmetric groups. We introduce the residue symbol for a p-regular partitions, a variation of the Mullineux symbol, which makes the detection and removal of good nodes (as introduced by Kleshchev) in the partition easy to describe. Applications of this idea include a short proof...

The present paper proposes an entropy based algorithm for the feature elimination in cartographic generalization. The methodology is tested on a map with 100 point symbols. The experiment demonstrates how the most con°icting map symbols are detected and eliminated from the map. The optimal symbol size can be computed from the entropy model. It is shown how to modify the entropy measure in such ...

This paper proposes an iterative maximum a posteriori probability (MAP) receiver for multiple-input-multiple-output (MIMO) and orthogonal frequency-division multiplexing (OFDM) mobile communications. For exploiting the space, time, and frequency diversity, the lowdensity parity-check code (LDPC) is used as a channel coding with a builtin interleaver. The receiver employs the expectation maximiz...

We present in this paper the construction of a pseudodifferential calculus on smooth non-compact manifolds associated to a globally defined and coordinate independant complete symbol calculus, that generalizes the standard pseudodifferential calculus on Rn. We consider the case of manifolds M with linearization in the sense of Bokobza-Haggiag [4], such that the associated (abstract) exponential...

For the first time it is here shown that Symbolby-Symbol Maximum A Posteriori (SbS-MAP) receivers are able to generate Non-Linear Minimum Mean Square Error (NL-MMSE) estimates of the transmitted symbols.

Semantic maps augment metric-topological maps with meta-information, i.e. semantic knowledge aimed at the planning and execution of high-level robotic tasks. Semantic knowledge typically encodes human-like concepts, like types of objects and rooms, which are connected to sensory data when symbolic representations of percepts from the robot workspace are grounded to those concepts. This symbol g...