Nonlinear spectral calculus and super-expanders

Nonlinear spectral gaps with respect to uniformly convex normed spaces are shown to satisfy a spectral calculus inequality that establishes their decay along Cesaro averages. Nonlinear spectral gaps of graphs are also shown to behave sub-multiplicatively under zigzag products. These results yield a combinatorial construction of super-expanders, i.e., a sequence of 3-regular graphs that does not admit a coarse embedding into any uniformly convex normed space.Comment: Typos fixed based on referee comments. Some of the results of this paper were announced in arXiv:0910.2041. The corresponding parts of arXiv:0910.2041 are subsumed by the current pape

Calculation of elements subjected to bending moments made of cross laminated timber (CLT) according to PN-EN 1995-1-1

W artykule przedstawiono sposób wymiarowania elementów zginanych wykonanych z drewna klejonego krzyżowo CLT w ujęciu normy PN-EN 1995-1-1. Do wymiarowania wykorzystano adaptację normowej metody opartej na teorii belek zespolonych mechanicznie. Jako uzupełnienie opisanej metody przedstawiono przykład obliczeniowy wykorzystujący pokazane podejście.The article presents the method of calculating elements subjected to bending moments made of cross laminated timber CLT according to PN-EN 1995-1-1. The modification of the standard method based on the theory of mechanically joined beams is used for calculations. A calculation example using the shown approach is presented

Models of heat conduction in solids

W pracy przedstawiono modele przepływu ciepła w ciałach stałych w zależności od prędkości propagacji fal ciepła, kładąc nacisk na praktyczne wykorzystanie równań opisujących przedstawione zagadnienie. Praca ma charakter przeglądowy.The paper presents a model of heat transfer in solids, depending on the propagation speed of thermal waves, with an emphasis on the practical use of the equations governing the presented issue. Work is a review

Applying neural networks to urban area classification in satellite images

Niniejsza praca przedstawia podejście do procesu klasyfikacji obrazów satelitarnych alternatywne wobec istniejących metod. Do identyfikacji terenów miejskich zobrazowanych na zdjęciach satelitarnych zastosowana została sztuczna sieć neuronowa. W pracy wykorzystano zobrazowania wykonane przez satelitę Landsat skanerem Thematic Mapper oraz mapę pokrycia terenu opracowaną w programie CORINE Land Cover. Oceny wyników dokonano metodą porównania punktowego z mapą topograficzną. Badania zostały przeprowadzone na terenach testowych: Aglomeracja Warszawska oraz Krakowska.This work presents a new approach to satellite image classification process. An artificial neural network has been applied to identification of urban areas mapped in satellite images. The results presented here are based on images obtained from the Landsat satellite using the Thematic Mapper scanner and a land cover map produced under the CORINE Program. The evaluation of the results has been conducted using a point-topoint comparison with a topographic map. The test areas include the metropolitan areas of Warsaw and Cracow

A maximal function characterization of weighted Besov-Lipschitz and Triebel-Lizorkin spaces.

We give characterizations of weighted Besov-Lipschitz and Triebel-Lizorkin spaces with $A_∞$ weights via a smooth kernel which satisfies "minimal" moment and Tauberian conditions. The results are stated in terms of the mixed norm of a certain maximal function of a distribution in these weighted spaces

SEMANTIC METADATA FOR HETEROGENEOUS SPATIAL PLANNING DOCUMENTS

Spatial planning documents contain information about the principles and rights of land use in different zones of a local authority. They are the basis for administrative decision making in support of sustainable development. In Poland these documents are published on the Web according to a prescribed non-extendable XML schema, designed for optimum presentation to humans in HTML web pages. There is no document standard, and limited functionality exists for adding references to external resources. The text in these documents is discoverable and searchable by general-purpose web search engines, but the semantics of the content cannot be discovered or queried. The spatial information in these documents is geographically referenced but not machine-readable. Major manual efforts are required to integrate such heterogeneous spatial planning documents from various local authorities for analysis, scenario planning and decision support. This article presents results of an implementation using machine-readable semantic metadata to identify relationships among regulations in the text, spatial objects in the drawings and links to external resources. A spatial planning ontology was used to annotate different sections of spatial planning documents with semantic metadata in the Resource Description Framework in Attributes (RDFa). The semantic interpretation of the content, links between document elements and links to external resources were embedded in XHTML pages. An example and use case from the spatial planning domain in Poland is presented to evaluate its efficiency and applicability. The solution enables the automated integration of spatial planning documents from multiple local authorities to assist decision makers with understanding and interpreting spatial planning information. The approach is equally applicable to legal documents from other countries and domains, such as cultural heritage and environmental management