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Search results for: ROOT FINDING ALGORITHM
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Numerical Test for Stability Evaluation of Discrete-Time Systems
PublicationIn this paper, a new numerical test for stability evaluation of discrete-time systems is presented. It is based on modern root-finding techniques at the complex plane employing the Delaunay triangulation and Cauchy's Argument Principle. The method evaluates if a system is stable and returns possible values and multiplicities of unstable zeros of the characteristic equation. For state-space discrete-time models, the developed test...
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Analysis of graphene multi-strip planar guiding structures with the use of spectral domain approach
PublicationSpectral domain approach is modified and used to analyze some simple structures containing graphene strips. The modification is simple and concerns the Green’s function only. Moreover, the method is combined with the recently published root finding algorithms, which significantly improve the efficiency of the analysis. The results obtained for a simple guiding structure is verified and the field displacement effect is confirmed.
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RECSYS CHALLENGE 2015: a BUY EVENT PREDICTION IN THE E-COMMERCE DOMAIN
PublicationIn this paper we present our approach to RecSys Challenge 2015. Given a set of e-commerce events, the task is to predict whether a user will buy something in the current session and, if yes, which of the item will be bought. We show that the data preparation and enrichment are very important in finding the solution for the challenge and that simple ideas and intuitions could lead to satisfactory results. We also show that simple...
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Stability analysis of interconnected discrete-time fractional-order LTI state-space systems
PublicationIn this paper, a stability analysis of interconnected discrete-time fractional-order (FO) linear time-invariant (LTI) state-space systems is presented. A new system is formed by interconnecting given FO systems using cascade, feedback, parallel interconnections. The stability requirement for such a system is that all zeros of a non-polynomial characteristic equation must be within the unit circle on the complex z-plane. The obtained...
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Sea surface temperature in the Baltic Sea derived from Landsat 8 satellite data - path 194
Open Research DataThe data set contains high resolution sea surface temperature (SST) maps estimated from Landsat 8 Level 1 Thermal Infrared Sensor (TIRS) data using NLSST algorithm. SST was calculated only for granules (185 x 180 km) from satellite path number 194, that covered at least 2000 km2 of the cloud-free area of the Baltic Sea.
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Sea surface temperature in the Baltic Sea derived from Landsat 8 satellite data - path 192
Open Research DataThe data set contains high resolution sea surface temperature (SST) maps estimated from Landsat 8 Level 1 Thermal Infrared Sensor (TIRS) data using NLSST algorithm. SST was calculated only for granules (185 x 180 km) from satellite path number 192, that covered at least 2000 km2 of the cloud-free area of the Baltic Sea.
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Sea surface temperature in the Baltic Sea derived from Landsat 8 satellite data - path 191
Open Research DataThe data set contains high resolution sea surface temperature (SST) maps estimated from Landsat 8 Level 1 Thermal Infrared Sensor (TIRS) data using NLSST algorithm. SST was calculated only for granules (185 x 180 km) from satellite path number 191, that covered at least 2000 km2 of the cloud-free area of the Baltic Sea.
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Sea surface temperature in the Baltic Sea derived from Landsat 8 satellite data - path 193
Open Research DataThe data set contains high resolution sea surface temperature (SST) maps estimated from Landsat 8 Level 1 Thermal Infrared Sensor (TIRS) data using NLSST algorithm. SST was calculated only for granules (185 x 180 km) from satellite path number 193, that covered at least 2000 km2 of the cloud-free area of the Baltic Sea.
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Sea surface temperature in the Baltic Sea derived from Landsat 8 satellite data - path 190
Open Research DataThe data set contains high resolution sea surface temperature (SST) maps estimated from Landsat 8 Level 1 Thermal Infrared Sensor (TIRS) data using NLSST algorithm. SST was calculated only for granules (185 x 180 km) from satellite path number 190, that covered at least 2000 km2 of the cloud-free area of the Baltic Sea.
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Metody zwiększania dostępności i efektywności informatycznej infrastruktury w inteligentnym mieście
PublicationW pracy omówiono metody zwiększania dostępności i efektywności informatycznej infrastruktury w inteligentnym mieście. Sformułowano dwa kryteria do oceny rozmieszczenia kluczowych zasobów w systemie smart city. Zobrazowano proces wyznaczania rozwiązań kompromisowych spośród rozwiązań Pareto-optymalnych. Omówiono metaheurystyki inteligencji zbiorowej, w tym roju cząstek, kolonii mrówek, roju pszczół oraz ewolucji różnicowej, za pomocą...
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Evaluating Accuracy of Respiratory Rate Estimation from Super Resolved Thermal Imagery
PublicationNon-contact estimation of Respiratory Rate (RR) has revolutionized the process of establishing the measurement by surpassing some issues related to attaching sensors to a body, e.g. epidermal stripping, skin disruption and pain. In this study, we perform further experiments with image processing-based RR estimation by using various image enhancement algorithms. Specifically, we employ Super Resolution (SR) Deep Learning (DL) network...
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Multipath Complex Root Tracing
PublicationThe problem of multipath root tracing is being addressed in this communication. The self-adaptive complex root tracing algorithm, which was previously utilized for the investigation of various propagation and radiation problems, is analyzed here for the cases when the traced characteristic bifurcates. A procedure of multiroute detection is proposed and demonstrated on the coaxially loaded cylindrical waveguide example.
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The Chow Ring of flag manifolds
Open Research DataSchubert calculus is the intersection theory of 19th century. Justifying this calculus is the content of the 15th problem of Hilbert. In the course to establish the foundation of algebraic geometry, Van der Vaerden and A. Weil attributed the problem to the determination of the chow ring of flag manifolds G/P, where G is a compact Lie group and P is...
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Square root RC Nyquist filter of fractional delay
PublicationIn this paper we propose a discrete-time FIR (finite impulse response) filter which couples the role of square root Nyquist filter with fractional delay filter. This filter enables to substitute for a cascade of square root RC (SRRC) Nyquist filter and fractional delay filter in one device/algorithm. The aim is to compensate for transmission delay in communication system. Statistically defined performances, e.g. BER (bit error...
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Plant Root
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Square Root Raised Cosine Fractionally Delaying Nyquist Filter - Design and Performance Evaluation
PublicationIn this paper we propose a discrete-time FIR (Finite Impulse Response) filter which is applied as a square root Nyquist filter and fractional delay filter simultaneously. The filter enables to substitute for a cascade of square root Nyquist filter and fractional delay filter in one device/algorithm. The aim is to compensate for transmission delay in digital communication system. Performance of the filter as a matched filter is...
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Variational Method of Finding Streamlines in Ring Cascades for Creeping Flows
PublicationThis paper presents a new, analytical method of finding streamlinesfor creeping flows inside a ring cascade which is composed of an infinite number of infinitely thin blades. An analytical solution has been obtained through minimisation of a dissipation functional by means of variational calculus method. The necessary condition for optimum of a functional gives the Stokes equation if some additional assumptions are introduced....
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Mersenne Number Finding and Collatz Hypothesis Verification in the Comcute Grid System
PublicationIn this chapter, some mathematic applications have been described to test scalability of the Comcute grid system. Especially, a verification of the Collatz hypothesis and finding Mersenne numbers were applied to prove the scalability and high performance of this grid system. Results were compared with outcomes obtained by the other grid systems.
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Polynomial Algorithm for Minimal (1,2)-Dominating Set in Networks
PublicationDominating sets find application in a variety of networks. A subset of nodes D is a (1,2)-dominating set in a graph G=(V,E) if every node not in D is adjacent to a node in D and is also at most a distance of 2 to another node from D. In networks, (1,2)-dominating sets have a higher fault tolerance and provide a higher reliability of services in case of failure. However, finding such the smallest set is NP-hard. In this paper, we...
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Generating optimal paths in dynamic environments using RiverFormation Dynamics algorithm
PublicationThe paper presents a comparison of four optimisation algorithms implemented for the purpose of finding the shortest path in static and dynamic environments with obstacles. Two classical graph algorithms –the Dijkstra complete algorithm and A* heuristic algorithm – were compared with metaheuristic River Formation Dynamics swarm algorithm and its newly introduced modified version. Moreover, another swarm algorithm has been compared...