We show that the boundary map in periodic cyclic cohomology introduced by Cuntz and Quillen satisfies properties similar to the properties of the boundary map in simplicial homology. We also prove that the boundary map is compatible with the boundary map in algebraic and topological K-Theory, which leads to index theorems. As an application we obtain a new proof of the Connes-Moscovici index th...

The Standardized Precipitation Index (SPI) is a widely used drought index to provide good estimations of the intensity, magnitude and spatial extent of droughts. The objective of this study was to analyze the spatial pattern of drought by SPI index. In this paper, patterns of drought hazard in Khuzestan are evaluated according to the data of 17 weather stations during data recording. The influe...

We prove an index theorem for boundary value problems in Boutet de Monvel’s calculus on a compact manifold X with boundary. The basic tool is the tangent semigroupoid T −X generalizing the tangent groupoid defined by Connes in the boundaryless case, and an associated continuous field C∗ r (T −X) of C∗-algebras over [0, 1]. Its fiber in ~ = 0, C∗ r (T−X), can be identified with the symbol algebr...

the efficiency of three statistical models, ahp surface-weighted density bivariate (semi-quantitative models), stepwise multivariate regression and logistic multivariate regression models were compared in chehel-chai watershed in golestan province, iran. in current study the hazard map was prepared according to the top model of landslide hazard map. chehel-chai watershed is located as one of go...

Geographical information and digital maps are integrated in many ways into our every-day life through various GIS solutions. Screen maps and map interfaces should be easyto-use for many kinds of user groups. Since digital maps have opened new ways to use geographic information, screen map users are facing new kinds of perceptual and cognitive challenges. There is, however, quite little knowledg...