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Notes on Number Theory and Discrete Mathematics
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Moscow Journal of Combinatorics and Number Theory
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Piotr Paradowski dr
OsobyDr Piotr Paradowski's areas of expertise in quantitative social science methods include truncated and censored models, quantile regressions, survival analysis, panel data models, discrete regressions and qualitative choice models, instrumental variable estimation, and hierarchical modeling. He is also an expert in statistical matching and statistical methods to handle missing data. In addition, he conducts research on income and...
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Non-standard binary weighted number systems
PublikacjaZdefiniowano szeroką klasę binarnych systemów wagowych. Wszystkie sa wzajemnie jednoznaczne ale mogą być zupełne lub niezupełne. Jeżeli wagi systemu są kolejnymi liczbami naturalnymi to system jest minimalny.Jesli wagi sa kolejnymi potęgami podstawy Z to system jest maksymalny. W przestrzeni między tymi systemami znajdują się inne systemy binarne. Kilka z nich przedstawiono w referacie.
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Bounds on the vertex-edge domination number of a tree
PublikacjaA vertex-edge dominating set of a graph $G$ is a set $D$ of vertices of $G$ such that every edge of $G$ is incident with a vertex of $D$ or a vertex adjacent to a vertex of $D$. The vertex-edge domination number of a graph $G$, denoted by $\gamma_{ve}(T)$, is the minimum cardinality of a vertex-edge dominating set of $G$. We prove that for every tree $T$ of order $n \ge 3$ with $l$ leaves and $s$ support vertices we have $(n-l-s+3)/4...
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Lower bound on the paired domination number of a tree
PublikacjaW pracy przedstawione jest ograniczenie dolne dla liczby dominowania parami oraz scharakteryzowane są wszystkie drzewa ekstremalne.
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Influence of edge subdivision on the convex domination number
PublikacjaWe study the influence of edge subdivision on the convex domination number. We show that in general an edge subdivision can arbitrarily increase and arbitrarily decrease the convex domination number. We also find some bounds for unicyclic graphs and we investigate graphs G for which the convex domination number changes after subdivision of any edge in G.
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T-colorings, divisibility and circular chromatic number
PublikacjaLet T be a T-set, i.e., a finite set of nonnegative integers satisfying 0 ∈ T, and G be a graph. In the paper we study relations between the T-edge spans espT (G) and espd⊙T (G), where d is a positive integer and d ⊙ T = {0 ≤ t ≤ d (max T + 1): d |t ⇒ t/d ∈ T} . We show that espd⊙T (G) = d espT (G) − r, where r, 0 ≤ r ≤ d − 1, is an integer that depends on T and G. Next we focus on the case T = {0} and show that espd⊙{0} (G) =...
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On the super domination number of lexicographic product graphs
PublikacjaThe neighbourhood of a vertexvof a graphGis the setN(v) of all verticesadjacent tovinG. ForD⊆V(G) we defineD=V(G)\D. A setD⊆V(G) is called a super dominating set if for every vertexu∈D, there existsv∈Dsuch thatN(v)∩D={u}. The super domination number ofGis theminimum cardinality among all super dominating sets inG. In this article weobtain closed formulas and tight bounds for the super dominating number oflexicographic product...
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Entanglement and Nonlocality are Inequivalent for Any Number of Parties
PublikacjaUnderstanding the relation between nonlocality and entanglement is one of the fundamental problems in quantum physics. In the bipartite case, it is known that these two phenomena are inequivalent, as there exist entangled states of two parties that do not violate any Bell inequality. However, except for a single example of an entangled three-qubit state that has a local model, almost nothing is known about such a relation in multipartite...
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Weakly convex domination subdivision number of a graph
PublikacjaA set X is weakly convex in G if for any two vertices a; b \in X there exists an ab–geodesic such that all of its vertices belong to X. A set X \subset V is a weakly convex dominating set if X is weakly convex and dominating. The weakly convex domination number \gamma_wcon(G) of a graph G equals the minimum cardinality of a weakly convex dominating set in G. The weakly convex domination subdivision number sd_wcon (G) is the minimum...
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Graphs with convex domination number close to their order
PublikacjaW pracy opisane są grafy z liczbą dominowania wypukłego bliską ilości ich wierzchołków.
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WIG rate of return histogram and normal distribution curve
Dane BadawczeThe conducted market analysis covered the period of stock exchange quotations from the beginning of 2010 to the end of 2019 (04/01/2010 - 30/12/2019). Daily data was used, in the form of closing prices of indices operating on the Warsaw Stock Exchange. In order to obtain a complete and generalized picture of the market, the quotations of 4 indices were...
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The use of gel dosimetry to measure the 3D dose distribution of a90Sr/90Y intravascular brachytherapy seed
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Distribution of mercury in different environmental compartments in the aquatic ecosystem of the coastal zone of the Southern Baltic Sea
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Distribution of invasive Cylindrospermopsis raciborskii in the East-Central Europe is driven by climatic and local environmental variables
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Impact of Movement Tempo Distribution on Bar Velocity During a Multi-Set Bench Press Exercise
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Residual stresses distribution in long seam-welded offshore catenary riser of high-manganese steel
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The Analysis of the distribution of available mesopores in cellulosic pulp, using Inverse Size Exclusion Chromatography-ISEC
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Genetic and lifestyle variables associated with homocysteine concentrations and the distribution of folate derivatives in healthy premenopausal women
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Application of the Finite Element Method for Modelling of the Spatial Distribution of Residual Stresses in Hybrid Surface Layers
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Expression and cellular distribution of estrogen and progesterone receptors and the real-time proliferation of porcine cumulus cells
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Expression and cellular distribution of zona pellucida glycoproteins in canine oocytes before and after in vitro maturation
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Method of determination of the reticulocyte age distribution from flow cytometry count by a structured-population model
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Advanced sensitivity analysis of the impact of the temporal distribution and intensity of rainfall on hydrograph parameters in urban catchments
PublikacjaKnowledge of the variability of the hydrograph of outflow from urban catchments is highly important for measurements and evaluation of the operation of sewer networks. Currently, hydrodynamic models are most frequently used for hydrograph modeling. Since a large number of their parameters have to be identified, there may be problems at the calibration stage. Hence, sensitivity analysis is used to limit the number of parameters....
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Multi-objective optimization of water quality, pumps operation, and storage sizing of water distribution systems
PublikacjaA multi-objective methodology utilizing the Strength Pareto Evolutionary Algorithm (SPEA2) linked to EPANET for trading-off pumping costs, water quality, and tanks sizing of water distribution systems is developed and demonstrated. The model integrates variable speed pumps for modeling the pumps operation, two water quality objectives (one based on chlorine disinfectant concentrations and one on water age), and tanks sizing cost...
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Optimizing Control by Robustly Feasible Model Predictive Control and Application to Drinking Water Distribution Systems
PublikacjaThe paper considers optimizing Model Predictive Control (MPC) for nonlinear plants with output constraints under uncertainties. Although the MPC technology can handle the constraints in the model by solving constraint model based optimization task, satisfying the plant output constraints still remains a challenge. The paper proposes Robustly Feasible MPC (RFMPC), which achieves feasibility of the outputs in the controlled plant....
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Circumferential temperature distribution during nucleate pool boiling outside smooth and modified horizontal tubes
PublikacjaPrzedstawiono wyniki badań eksperymentalnych obwodowego rozkłądu temperatury w poziomych rurkach, ogrzewanych elektrycznie na których zachodzi wrzenie pęcherzykowe. Wykazano, że lokalne - w obszarze górnej tworzącej rurki, zastosowanie powłki porowatej prowadzi do wygładzenia rozkładu temperatury oraz obniżenia średniej temperatury ścianki.
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Total Selenium Level and Its Distribution between Organs in Beef Cattle in Different Selenium Status
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A model of combined heat and power generating plant with urban heat distribution network for production scheduling
PublikacjaPoruszono zagadnienie związane z pracowaniem harmonogramu produkcji elektrociepłowni. Uwzględniony został wpływ zachowania się miejskiej sieci ciepłowniczej na pracę elektrociepłowni. Możliwe jest również modelowanie współpracy ze zbiornikiem ciepła.
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Problem of optimal load distribution between generators minimizing risk of enegretic ship system overload.
PublikacjaOmówiono system rozdziału mocy czynnych pomiędzy generatorami w systemie energetycznym statku. Minimalizuje się ryzyko przeciążeń systemu przy jednoczesnej minimalizacji kosztów wytwarzania energii w systemie.
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Evaluation of quality of electric power distribution network elements in order to maintain functional and technical safety
PublikacjaPraca dotyczy wieloatrybutowego systemu oceny elementów sieci elektroenergetycznej do celów zapewnienia jej bezpieczeństwa funkcjonalnego i technicznego. Rozważana sieć składa się z dużej liczby elementów, ocenianych jakościowo i ilościowo. Zaproponowana metoda składa się z dwóch etapów: (i)wstępnego wyboru niewielkiej liczby elementów niebezpiecznych w oparciu o małą liczbę informacji (ii) wykonaniu uszeregowania wybranych elementów...
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Charge distribution and magnetic interactions in PrBa2Cu3O7 with substitutional defects and oxygen disorder: the ab initio approach
PublikacjaW artykule zaprezentowano rezultaty kwantowomechanicznych obliczeń ''ab initio: struktury elektronowej układu PrBa2Cu3O7 zawierającego defekty substytucyjne (Pr_Ba) w podsieci barowo-tlenowej oraz wykazującego zaburzoną stechiometrię tlenową (O5). Badane defekty są odpowiedzialne za redystrybucję ładunku w układzie. Defekty Pr_Ba generują silnie zlokalizowane momenty magnetyczne, które oddziałują głównie na płaszczyzny miedziowo-tlenowe.
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Evaluation of time and space distribution of magnetic flux density in a steel plate magnetized by a C-core
PublikacjaBadano wpływ częstości magnesowania płyty stalowej na rozkład przestrzenny indukcji magnetycznej wewnątrz tej płyty. Rozkład ten oceniano na podstawie pomiaru natężenia emisji magnetoakustycznej a także rozkładu na powierzchni płyty natężenia efektu Barkhausena. Wyniki dyskutowane są ilościowo i porównane z wynikami modelowania metodą elementów skończonych, w której uwzględniono efekt powstawania prądów wirowych.
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Distribution of pollutants in the Odra River system part II. Organic pollutants in Odra River water
PublikacjaW pracy przedstawiono wyniki oznaczeń zanieczyszczeń organicznych (pestycydy, lotne związki chlorowcoorganiczne, wielopierścieniowe węglowodory aromatyczne, chlorobenzeny, polichlorowane bifenyle) w próbkach wody zebranych w trakcie 8 Kampanii (w okresie 1997-2000) zorganizowanej w ramach Międzynarodowego Projektu Badań Dorzecza Rzeki Odry (IOP).
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Effect of asymmetric fluid flow distribution on flow boiling in a microchannel heat sink – An experimental investigation
PublikacjaFlow boiling in microchannels is emerging as an exclusive cooling solution for miniaturized high-power electronic devices alongside having other high heat flux applications. Size miniaturization at microscale strangely increases heat transfer performance as well as flow boiling instabilities. Many flow boiling instabilities are interrelated and result from imperfect hydrodynamic conditions. One of such problems is flow maldistribution among...
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Measurement of the Temporal and Spatial Temperature Distribution on the Surface of PVCP Tissue Phantom Illuminated by Laser Dataset
PublikacjaThe dataset entitled Measurement of the temporal and spatial temperature distribution on the surface of PVCP tissue phantom illuminated by laser was obtained with a laboratory set-up for characterisation of the thermal properties of optical tissue phantoms during laser irradiation. The dataset contains a single image file representing the spatial temperature distribution on the surface of a PVCP tissue phantom. This thermal image...
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Normal stress distribution in built‑up cold‑formed column in relation to interconnecting bolt spacing
PublikacjaIn order to increase a stiffness of cold-formed steel (CFS) elements it is practised to built-up the cross-section. In the analysed case, a main element is strengthened by adding extra chord in contact partially along the column. This additional chord acts as a longitudinal stiffener connected with the main section by series of bolts. Authors check whether rules applied over the years, for hot-rolled elements, can be indiscriminately...
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Two Time-Scale Hierarchical Control of Integrated Quantity and Quality in Drinking Water Distribution Systems
PublikacjaThe paper considers a feedback optimising control of drinking water distribution systems (DWDS). Although the optimised pump and valves scheduling and disinfectant injection control attracted considerable attention over last two decades most of the contributions were limited to an open-loop optimisation repetitively performed during the DWDS operation. Also, while a strong interaction between the water quantity and quality exists...
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Multiobjective Water Distribution Systems Control of Pumping Cost, Water Quality, and Storage-Reliability Constraints
PublikacjaThis work describes a multiobjective model for trading-off pumping cost and water quality for water distribution systems operation. Constraints are imposed on flows and pressures, on periodical tanks operation, and on tanks storage. The methodology links the multiobjective SPEA2 algorithm with EPANET, and is applied on two example applications of increasing complexity, under extended period simulation conditions and variable energy...
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Relationship between heavy metal distribution in sediment samples and their ecotoxicity by the use of the Hasse diagram technique
PublikacjaOpisane badania wskazują, że istnieje nowe podejście oszacowywania ryzyka zanieczyszczenia określonych przedziałów środowiska morskiego dzięki równoczesnemu monitorowaniu zawartości metali ciężkich i parametrów ekotoksykologicznych. Rutynowe podejście stosuje oddzielnie wskaźniki zawartości metali ciężkich i wskaźniki ekotoksykologiczne w celu wykrycia zależności między poziomami zawartości metali ciężkich a mierzalnymi parametrami...
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Optimizing control by robustly feasible model predictive control and application to drinking water distribution systems
PublikacjaThe paper considers optimizing Model Predictive Control (MPC) for nonlinear plants with output constraints under uncertainties. Although the MPC technology can handle the constraints in the model by solving constraint model based optimization task, satisfying the plant output constraints under the model uncertainty still remains a challenge. The paper proposes Robustly Feasible MPC (RFMPC), which achieves feasibility of the outputs...
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Optimised Allocation of Hard Quality Sensors for Robust Monitoring of Quality in Drinking Water Distribution Systems
PublikacjaA problem of optimised placement of the hard quality sensors in Drinking Water Distribution Systems for robust quality monitoring is formulated. Two numerical algorithms to solve the problem are derived. The optimality is meant as achieving a desired trade off between the sensor capital and maintenance costs and resulting robust estimation accuracy of the monitoring algorithm. The robust estimation algorithm recently developed...
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Power Electronics Building Blocks for implementing Smart MV/LV Distribution Transformers for Smart Grid
PublikacjaWith an observed increase in the involvement of active consumers in activities aimed at improving energy efficiency and increasing interest in producing energy from renewable sources, there is a need for the development of new technologies enabling the distribution network operators to offer new services and functionalities. Smart MV/LV distribution transformers are characterized by a compact three-stage design, including an...
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Identification of the Contamination Source Location in the Drinking Water Distribution System Based on the Neural Network Classifier
PublikacjaThe contamination ingression to the Water Distribution System (WDS) may have a major impact on the drinking water consumers health. In the case of the WDS contamination the data from the water quality sensors may be efficiently used for the appropriate disaster management. In this paper the methodology based on the Learning Vector Quantization (LVQ) neural network classifier for the identification of the contamination source location...
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Spatial distribution of pharmaceuticals in conventional wastewater treatment plant with Sludge Treatment Reed Beds technology
PublikacjaPharmaceutical residues are an emerging environmental problem. It is strongly confirmed that pharmaceuticals are present in soils and environmental waters (surface, marine and even groundwater), and that wastewater treatment plant (WWTP) effluents are the main source of pharmaceuticals in the watershed. The aim of this studywas to recognize the spatial distribution and seasonal changes of selected pharmaceuticals in conventional WWTP...
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The impact of the distribution network reconfiguration on active power losses: Selected issues of UPGRID project realization
PublikacjaThe dynamic development of smart grids allows the use of remote controllable switches to change the configuration of the distribution network. The paper discusses the impact of the distribution system reconfiguration on active power losses, taking into account the typical daily load profiles. Based on modified IEEE 33-bus test distribution system the article presents the method of selection the appropriate sensitivity factor and...
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Selection of optimal location and rated power of capacitor banks in distribution network using genetic algorithm
PublikacjaIn this paper, the problem of placement and rated power of capacitor banks in the Distribution Network (DN) is considered. We try to suggest the best places for installing capacitor banks and define their reactive power. The considered formulation requires the optimization of the cost of two different objectives. Therefore the use of properly multiobjective heuristic optimization methods is desirable. To solve this problem we use...
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Magnetic resonance imaging of radiation dose distributions using a polymer-gel dosimeter
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APPLICATION OF COHEN'S CLASS TIME-FREQUENCY DISTRIBUTIONS IN THE BELOUSOV–ZHABOTINSKY REACTION ANALYSIS
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