Given a self–dual map on the sphere, the collection of its self– dual permutations generates a transformation group in which the map automorphism group appears as a subgroup of index two. A careful examination of this pairing yields direct constructions of self–dual maps and provides a classification of self–dual maps.

heat stress is a major environmental stress limiting wheat productivity in most cereal growing areas of the world. in order to map and characterize quantitative trait loci controlling heat tolerance, 144 recombinant inbred lines deriving from the cross of kauz and mtrwa116 were assessed in a greenhouse and growth chamber at 35°c. one hundred and sixty six ssr and 3 aflp markers were used to...

Introduction The Actor Network represents heterogeneous entities as actants (Callon et al., 1983; 1986). Although computer programs for the visualization of social networks increasingly allow us to represent heterogeneity in a network using different shapes and colors for the visualization, hitherto this possibility has scarcely been exploited (Mogoutov et al., 2008). In this contribution to th...

The formality theorem for Hochschild chains of the algebra of functions on a smooth manifold gives us a version of the trace density map from the zeroth Hochschild homology of a deformation quantization algebra to the zeroth Poisson homology. We propose a version of the algebraic index theorem for a Poisson manifold which is based on this trace density map. 1991 MSC: 19K56, 16E40.

Recent advances in methods and techniques enable us to develop an interactive overlay to the global map of science based on aggregated citation relations among the 9,162 journals contained in the Science Citation Index and Social Science Citation Index 2009 combined. The resulting mapping is provided by VOSViewer. We first discuss the pros and cons of the various options: cited versus citing, m...

For any discrete time dynamical system with a rational evolution, we define an entropy, which is a global index of complexity for the evolution map. We analyze its basic properties and its relations to the singularities and the irreversibility of the map. We indicate how it can be exactly calculated.

Both boundary maps in K-theory are expressed in terms of surjections from projective C∗-algebras to semiprojective C∗-algebras. 1. Noncommutative Cells and Boundaries Cells are absolute retracts that tie together spheres of different dimensions. The analog of an absolute retract for a C-algebra is being projective. For better or worse, in the category of all C-algebras, we lose the projectivity...

particulate and gaseous emissions of pollutants from industries and auto-exhausts are responsible for rising discomfort, aggravates respiratory and cardiovascular. in this study, a system for air quality information in tehran city has been developed, using an online web-based geographic information system. this web-based gis application allows users to recognize areas with a potential increase ...

Aggregated journal-journal citation networks based on the Journal Citation Reports 2004 of the Science Citation Index (5968 journals) and the Social Science Citation Index (1712 journals) are made accessible from the perspective of any of these journals. A vectorspace model is used for normalization, and the results are brought online at http://www.leydesdorff.net/jcr04 as input-files for the v...

In exploratory analysis of high-dimensional data the self-organizing map can be used to illustrate relations between the data items. We have developed two measures for comparing how diierent maps represent these relations. The other combines an index of discontinuities in the mapping from the input data set to the map grid with an index of the accuracy with which the map represents the data set...