In this paper, we introduce the fuzzy Voronoi diagram as an extension of the Voronoi diagram. We assume Voronoi sites to be fuzzy points and then define the Voronoi diagram for this kind of sites, then we provide an algorithm for computing this diagram based on Fortune’s algorithm which costs O(n log n) time. Also we introduce the fuzzy Voronoi diagram for a set of fuzzy circles, rather than fu...

ground water and surface water create a range of problems in lignite mining utilizing surface mining methods. in order to create a safe and economic mining environment, it is essential to carry out mining after dewatering the rock mass surrounding the lignite mines by advance dewatering techniques. this paper briefly describes the ground water regimes including pressure gradients associated wit...

more recently, titanium and aluminum alloys are gaining more interests to be implemented in hydro-forming applications. it is necessary to predict forming limits for these sheet alloys. forming limits play an important role in metal forming processes. forming limit diagrams, present the limit strains for various linear strain paths. in other hand, forming limit curve (flc), illustrates localize...

in this paper, a photonic crystal waveguide with point defects and lattice constant perturbations of +5%, -5% are being investigated. firstly waveguide structures with constant and specific parameters are being studied and photonic band gap diagrams for te/tm modes are depicted; then pulse propagation in the frequencies available in the band gap are shown. after that, effects of parameters like...

the aim of this study was to develop a microemulsion system as a medium for laccase-catalyzed reactions. phase behavior studies were conducted by constructing partial pseudo-ternary phase diagrams for systems comprising of cetyltrimethylammonium bromide (ctab), various organic solvents as the oil phase (i.e., hexane, cyclohexane, heptane, octane, isooctane, toluene, isopropyl myristate), two co...

the suppression of the regenerative chatter phenomenon in turning process via the variation of the frequency and amplitude of the spindle motor excitation is carried out in this research. a programmable inverter is employed for variable periodic excitation of the spindle motor. a set of turning experiments is designed and performed on a number of conical work pieces both in constant spindle spe...

We develop diagram techniques for proving confluence in abstract reductions systems. The underlying theory gives a systematic and uniform framework in which a number of known results, widely scattered throughout the literature, can be understood. These results include Newman's lemma, Lemma 3.1 of Winkler and Buchberger, the Hindley Rosen lemma, the Request lemmas of Staples, the Strong Confluen...

In this paper we propose a new approach to the depth sorting problem. Given a simplicial complex ? in IE d , our approach is based on the preliminary construction of a convex complex ? in IE d+1 , whose projection on IE d corresponds to ?, and on the representation of ? as a power diagram. This approach exhibits a O(m log m) runtime complexity to sort a simplicial complex with m cells and requi...

Euler diagrams have been used for centuries as a means for conveying logical statements in a simple, intuitive way. They form the basis of many diagrammatic notations used to represent set-theoretic relationships in a wide range of contexts including software modelling, logical reasoning systems, statistical data representation, database search queries and file system management. In this paper ...

Diagrams are always used when communicating complex situations. As a special case, dynamic processes like the token game in Petri-nets are made clear using dynamic diagrams. Animation techniques have to be used in order to achieve a comprehensible visualization. The paper discusses dynamic diagram languages with animations, i.e., animated diagram languages, and how to specify them. Specificatio...