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Fixed point index for $G$-equivariant multivalued maps
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Minimization of the number of periodic points for smooth self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers
PublikacjaLet f be a smooth self-map of m-dimensional, m ≥ 4, smooth closed connected and simply-connected manifold, r a fixed natural number. For the class of maps with periodic sequence of Lefschetz numbers of iterations the authors introduced in [Graff G., Kaczkowska A., Reducing the number of periodic points in smooth homotopy class of self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers, Ann. Polon. Math....
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Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds
PublikacjaLet M be a smooth compact and simply-connected manifold with simply-connected boundary ∂M, r be a fixed odd natural number. We consider f, a C1 self-map of M, preserving ∂M . Under the assumption that the dimension of M is at least 4, we define an invariant Dr(f;M,∂M) that is equal to the minimal number of r-periodic points for all maps preserving ∂M and C1-homotopic to f. As an application, we give necessary and sufficient...
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An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds
PublikacjaFor a given self-map f of M, a closed smooth connected and simply-connected manifold of dimension m 4, we provide an algorithm for estimating the values of the topological invariant D^m_r [f], which equals the minimal number of r-periodic points in the smooth homotopy class of f. Our results are based on the combinatorial scheme for computing D^m_r [f] introduced by G. Graff and J. Jezierski [J. Fixed Point Theory Appl. 13 (2013),...
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An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds
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An absorbing set for the Chialvo map
PublikacjaThe classical Chialvo model, introduced in 1995, is one of the most important models that describe single neuron dynamics. In order to conduct effective numerical analysis of this model, it is necessary to obtain a rigorous estimate for the maximal bounded invariant set. We discuss this problem, and we correct and improve the results obtained by Courbage and Nekorkin (2010). In particular, we provide an explicit formula for an...
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Peer Reviewed: A Practical Guide to Analytical Method Validation
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O Centrum Zastosowań Matematyki
PublikacjaCentrum Zastosowań Matematyki to projekt realizowany w ramach Programu Operacyjnego Kapitał Ludzki wyłoniony w drodze konkursu zorganizowanego przez Narodowe Centrum Badań i Rozwoju.
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The Efficiency of Polish Stock Market: Ordinal Patterns Approach
PublikacjaZunino et al. analyzed the problem of discrimination of developed and emergent markets by the use of ordinal patterns methods: number of forbidden patterns and ordinal pattern probability distribution as a basis for entropy and statistical measure of complexity. In this paper we apply the same methodology for the analysis of Polish stock market (index WIG). The results indicate that Polish market belongs neither to developed, nor...
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Minimal Sets of Lefschetz Periods for Morse-Smale Diffeomorphisms of a Connected Sum of g Real Projective Planes
PublikacjaThe dataset titled Database of the minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms of a connected sum of g real projective planes contains all of the values of the topological invariant called the minimal set of Lefschetz periods, computed for Morse-Smale diffeomorphisms of a non-orientable compact surface without boundary of genus g (i.e. a connected sum of g real projective planes), where g varies from 1 to...
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Sintering Parameter Investigation for Bimetallic Stainless Steel 316L/Inconel 718 Composite Printed by Dual-Nozzle Fused Deposition Modeling
PublikacjaFused deposition modeling (FDM) nowadays offers promising future applications for fabricating not only thermoplastic-based polymers but also composite PLA/Metal alloy materials, this capability bridges the need for metallic components in complex manufacturing processes. The research is to explore the manufacturability of multi-metal parts by printing green bodies of PLA/multi-metal objects, carrying these objects to the debinding...
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Supramolecular deep eutectic solvents and their applications
PublikacjaIn recent years, the growing awareness of the harmfulness of chemicals to the environment has resulted in the development of green and sustainable technologies. The compromise between economy and environmental requirements is based on the development of new efficient and green solutions. Supramolecular deep eutectic solvents (SUPRADESs), a new deep eutectic solvent (DES) subclass characterized by inclusion properties, are a fresh...
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Secondary emission influenced fluorescence decay of a homogeneous fluorophore solution
PublikacjaAn analytical expression is found allowing the calculation of the secondary emission influenced fluorescence decay of a homogeneous fluorophore solution. Before starting the calculation one has to know the shape of the primary fluorescence decay of the fluorophore and the value of the parameter kappa denoting the ratio of the secondary to primary steady-state fluorescence intensities. The method elaborated by Budo and Ketskemety...
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Roboty mobilne o kinematyce wzorowanej na kinematyce węży
PublikacjaRoboty mobilne znajdują zastosowanie w wielu dziedzinach. W zależności od pełnionych funkcji, rodzaju i ukształtowania podłoża, po którym się poruszają oraz warunków pracy, w ich konstrukcjach wykorzystywane są różne sposoby lokomocji przy czym coraz częściej konstrukcje są wzorowane na anatomii zwierząt. Jednym z ich typów są roboty wzorowane na kinematyce ruchu węży. Jest ona odmienna od typowych rozwiązań stosowanych w rozwiązaniach...
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Influence of diffusion on nonradiative energy transfer between FMN molecules in aqueous solution
PublikacjaZmierzono zależności wydajności kwantowej roztworów wodnych FMN w zakresie koncentracji od 6,31x10^-5 do 1,8x10^-2 M w temperaturach 298,2 i 323,9 K. Otrzymane wyniki porównano z analogicznymi, uzyskanymi teoretycznie na podstawie modelu nie biorącego i biorącego pod uwagę dyfuzję molekuł fluoroforu. Porównanie wykazuje, że dla badanych roztworów dyfuzja nie może być pominięta, oraz, że dla uzyskania zgodności otrzymanych wyników...
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Electrical mapping of AISI 304 stainless steel subjected to intergranular corrosion performed by means of AFM-LIS in the contact mode
PublikacjaThe paper presents results of the AFM-based approach to local impedance spectroscopy (LIS) measurements performed in a 20 20 lm grid within an austenite grain–grain boundary region for sensitized AISI 304 stainless steel (SS). Maps of electrical parameters obtained on the basis of localized impedance spectra were demonstrated, presenting their changes and correlation with the sample topography. Performed research revealed significant...
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Analytical eco-scale for assessing the greenness of analytical procedures
PublikacjaWe propose the analytical eco-scale as a novel comprehensive approach to evaluating the greenness of analytical methodology. It is based on assigning penalty points to parameters of an analytical process that are not in agreement with the ideal green analysis. This approach compares different parameters and different steps of the analytical process. Traditional green chemistry metrics 9e.g. Atom Economy, E-factor and Reaction Mass...
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The influence of selected strain-based failure criteria on ship structure damage resulting from a collision with an offshore wind turbine monopile
PublikacjaOffshore wind farms are developing well all over the world, providing green energy from renewable sources. The evaluation of possible consequences of a collision involves Finite Element computer simulations. The goal of this paper was to analyse the influence of selected strain-based failure criteria on ship damage resulting from a collision with an offshore wind turbine monopile. The case of a collision between an offshore supply...
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Drawing maps with advice
PublikacjaRozważamy następujący problem obliczeniowy. Agent zostaje umieszczony w wierzchołku nieznanego mu grafu. Wierzchołki grafu są nierozróżnialne, natomiast krawędzie posiadają numery portów. Zadaniem agenta jest wyznaczenie mapy, tzn. obliczenie izomorficznej kopii grafu, lub obliczenie dowolnego drzewa spinającego grafu. Bez dodatkowej informacji zadań tych nie można wykonać. W artykule wyznaczamy oszacowania na minimalną liczbę...
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Koala graph coloring library: an open graph coloring library for real-world applications
PublikacjaPomimo intensywnej pracy naukowej na polu kolorowania grafów, nie jest znana kompletna i dedykowana biblioteka programistyczna. Celem artykułu jest zaproponowanie architektury takiej biblioteki. Celem jest spełnienie oczekiwań wypływających z rzeczywistych zastosowań, w szczególności spełnienie potrzeb wydajnościowych. Zaimplementowano szereg algorytmów cheurystycznego kolorowania grafów. Przyjętym językiem programowania jest C++....
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Polyurethanes modified with natural polymers for medical application. I. Polyurethanes/ Chitosan and polyurethane/collagen.
PublikacjaFor over three decades polyurethanes (PUR or PU) have been reported for application in a variety of medical devices. These polymers consist of hard and soft segments, which allow for more subtle control of their structure and properties. By varying the composition of the different segments, properties of PURcan be tuned up for use in many areas of medicine. Recently there is a great interest in modification of biomedical PUR with...
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The complexity of the T-coloring problem for graphs with small degree.
PublikacjaW pracy ustalono złożoność obliczeniową problemu optymalnego kolorowania grafów o ustalonym stopniu.
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Persistent homology as a new method of the assessment of heart rate variability
PublikacjaHeart rate variability (hrv) is a physiological phenomenon of the variation in the length of the time interval between consecutive heartbeats. In many cases it could be an indicator of the development of pathological states. The classical approach to the analysis of hrv includes time domain methods and frequency domain methods. However, attempts are still being made to define new and more effective hrv assessment tools. Persistent...
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Rank Coloring of Graphs.
PublikacjaRozdział jest poświęcony uporządkowanemu kolorowaniu grafów. Przedstawiono jego podstawowe własności oraz zastosowania praktyczne.
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Sum Coloring of Graphs.
PublikacjaRozdział jest poświęcony sumacyjnemu kolorowaniu grafów. Przedstawiono jego podstawowe własności oraz zastosowania praktyczne.
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LICZBA PODZIAŁOWA DLA DOMINOWANIA W GRAFACH
PublikacjaW PRACY ROZWAŻAMY 6 RODZAJÓW ZBIORÓW DOMINUJĄCYCH ORAZ LICZB ZWIĄZANYCH Z TYMI ZBIORAMI: KLASYCZNĄ LICZBĘ DOMINOWANIA, LICZBĘ DOMINOWANIA TOTALNEGO, PARAMI, SŁABO-SPÓJNEGO, 2-DOMINOWANIA I DOMINOWANIA WYPUKŁEGO. W PRACY ROZWAŻAMY WPŁYW TRZECH OPERACJI NA KRAWĘDZIE GRAFU: USUWANIE KRAWĘDZI Z GRAFU, JEDNOKROTNY PODZIAŁ PEWNEJ LICZBY KRAWĘDZI I PODZIAŁ WIELOKROTNY JEDNEJ KRAWĘDZI. BADAMY ZWIĄZKI TYCH OPERACJI Z ROZWAŻANYMI LICZBAMI...
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Mixed graph edge coloring
PublikacjaW pracy rozważany jest problem kolorowania krawędzi grafu mieszanego, tj. grafu zawierającego zawiero skierowane, jak i nieskierowane krawędzie. Motywację do badań stanowią zagadnienia komunikacyjne z zakresu szeregowania zadań.
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Greening procedures and analytical parameters. The polychlorinated naphthalenes analysis in complex matrices as proof of concept
PublikacjaDue to the complexity of analytical procedures employed for the determination of wide spectrum of persistent organic pollutants (POPs), it is important to consider the green character of the applied protocols and propose the greenest solutions. In this review, the green aspects of several analytical procedures used for the determination of polychlorinated naphthalenes (PCNs) (as a representatives of POPs) in different types of...
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Analysis of pesticide residue in fruits and vegetables using analytical analytical protocol based on application of QuEChERS technique and GC-ECD system
PublikacjaQuEChERS sample preparation method was used for the determination of 10 pesticides and their metabolites in fruits (apple, grape) and vegetables (tomato, paprika), coupled to gas chromatography with electron capture detector (GC-ECD). The experimental parameters including amount of the sample, types of solvents, extraction time and types of sorbent at the purification stage were optimized. The GC-ECD method was validated in terms...
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Comparative 3D DEM simulations of sand–structure interfaces with similarly shaped clumps versus spheres with contact moments.
PublikacjaThree-dimensional simulations of a monotonic quasi-static interface behaviour between initially dense cohesionless sand and a rigid wall of different roughness during tests in a parallelly guided direct shear test under constant normal stress are presented. Numerical modelling was carried out by the discrete element method (DEM) using clumps in the form of convex non-symmetric irregularly shaped grains. The clumps had an aspect...
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A derivatisation agent selection guide
PublikacjaThe development of new tools for providing high quality information in a cost-effective and expeditious way is one of the main aims of analytical chemistry. Remarkably, the introduc- tion of the 12 principles of green chemistry paved the way forward for the development of analytical methodologies that are, ideally, inherently safe for the operator and the environ- ment, with the least possible consumption of energy and chemicals,...
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Environmental risk- based ranking of solvents by the combination of multimedia model and multi-criteria decision analysis
PublikacjaA novel procedure for assessing the environmental risk related to solvents emissions has been developed. The assessment of risk is based on hazard and exposure detailed investigations. The potential exposure related to different environmental phases is calculated with basic multimedia model, that gives the percentage distribution of solvent in environmental compartments as a result. Specific hazards– toxicological, environmental...
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Perspectives on the replacement of harmful organic solvents in analytical methodologies: a framework toward the implementation of a generation of eco-friendly alternatives
PublikacjaVolatile organic solvents derived from non-renewable fossil feedstocks are commonplace in analytical laboratories. In spite of their convenient performance in countless unit operations, their environmental, health and safety issues represent a major area of concern. The progressive replacement of organic solvents obtained from fossil resources by eco-friendly alternatives would involve remarkable advances within the framework of...
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Quantum dots for photocatalysis: synthesis and environmental applications
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Antimicrobial and surface activity of 1-alkyl-3-methylimidazolium derivatives
PublikacjaWiedza na temat zależności struktura-aktywność umożliwia projektowanie i syntezę nowych kationowych związków amfifilowych ze zoptymalizowaną aktywnością antymikrobową na rzecz przyszłego rozwoju nowych środków dezynfekujących, sanityzujących czy konserwujących. Potrzeba projektowania i identyfikowania nowych związków posiadających właściwości przeciwbakteryjne jest rezultatem pojawienia się bardziej odpornych mikroorganizmów w...
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Recovery of ibuprofen from pharmaceutical wastes using ionic liquids
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A solvent selection guide based on chemometrics and multicriteria decision analysis
PublikacjaThe selection of suitable solvents is a crucially important subject in a wide range of chemical processes. This study presents a solvent selection guide where 151 solvents were assessed, including a significant number of recently reported bio-based solvents. The assessment procedure involves grouping of solvents according to their physicochemical parameters and ranking within clusters according to their toxicological and hazard...
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How to make membrane distillation greener? A review on environmentally friendly and sustainable aspects
PublikacjaThere is an urgent need for the development of new water resources in order to solve the problem of the world’s growing demand for clean water. Membrane distillation (MD) is a promising alternative to conventional seawater desalination. Although MD itself is often defined as sustainable desalination technology, there are many aspects within the membrane manufacture and process operation that make it far from being green. For instance,...
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Grinding-induced functionalization of carbon-encapsulated iron nanoparticles
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Retrosynthesis from transforms to predictive sustainable chemistry and nanotechnology: a brief tutorial review
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Porous carbon derived from rice husks as sustainable bioresources: insights into the role of micro-/mesoporous hierarchy in hosting active species for lithium–sulphur batteries
PublikacjaThe exploration of natural resources as sustainable precursors affords a family of green materials. Exploring highly abundant and available biowaste precursors remaining from food processing throughout a scalable and cost-effective material synthesis path is highly important especially for new materials discovery in emerging energy storage technologies such as lithium–sulphur (Li–S) batteries. Herein, we have produced a series...
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Organic syntheses greenness assessment with multicriteria decision analysis
PublikacjaGreen chemistry requires a metrics system that is comprehensive by the criteria included and simple in the application at the same time. We propose the application of multicriteria decision analysis for com- parative greenness assessment of organic synthesis procedures. The assessment is based on 9 criteria (the reagent, reaction efficiency, atom economy, temperature, pressure, synthesis time, solvent, catalyst and reactant) for...
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Chitosan-based inks for 3D printing and bioprinting
PublikacjaThe advent of 3D-printing/additive manufacturing in biomedical engineering field has introduced great potential for the preparation of 3D structures that can mimic native tissues. This technology has accelerated the progress in numerous areas of regenerative medicine, especially led to a big wave of biomimetic functional scaffold developments for tissue engineering demands. In recent years, the introduction of smart bio-inks has...
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Monetary values estimates of solvents emissions
PublikacjaThe impact values for environmental emissions of 52 solvents are estimated and expressed in monetary units. The impact values of solvents present in the air are calculated on the basis of 13 impact indicators and for solvents present in water on additional 2 impact indicators. These impact values are weighted with the results obtained with multi-compartment distribution model, allowing to calculate the fraction of solvent emitted...
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Challenges and recent advances in bio-based isocyanate production.
PublikacjaPolyurethanes (PUs) are key players in the plastics industry. According to the Global Polyurethane Market (2019–2023), their value in the global market reached $95.13 billion in 2019 and is expected to grow at a compound annual growth rate of 12%. This is in line with the increase in the number of research papers and patents on the synthesis and application of petroleum-based PUs (P-PUs) and biomass or green PUs (G-PUs) (from 67 657...
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Poszukiwanie nowych leków immunosupresyjnych (Quest for new immunosuppressive drugs)
PublikacjaTransplantology is getting more and more important in medicine. Development of surgical techniques and immunosuppressive treatment enabled to establish successful transplantations with various organs and tissues. However, allografts are recognized as foreign tissues and stimulate rejection, i.e. a strong immunological response which, if not stopped, results in complete destruction of the transplanted tissue. In order to prevent...
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Lower bound on the domination number of a tree.
PublikacjaW pracy przedstawiono dolne ograniczenie na liczbę dominowania w drzewach oraz przedstawiono pełną charakterystykę grafów ekstremalnych.
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Dynamics of Field Line Mappings in Magnetic Flux Tubes
PublikacjaWe study the topological constraints on the dynamics of magnetic field lines in flux tubes. Our approach is based on the application of the topological invariant: fixed point index. We consider periodic flux tubes and find various restrictions on the field lines that come from the sequence of fixed point indices of iterations. We also analyze the case of a tube with a cylindrical obstacle, deducing some special dynamical properties...
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Static and dynamic approach of social roles identification using PISNA and subgraphs matching
PublikacjaIdentyfikacja ról w sieci społecznej jest jednym z podstawowych zagadnień analiza takich sieci. W artykule przedstawiamy nowe podejście do tego zagadnienia. Pokazujemy w jaki sposób można dokonać identyfikacji ról poprzez tworzenie specjalnych struktur grafowych tzw. grafów wzorcowych. Przy definiowaniu tychże grafów wspieramy się metodą PISNA. Proponujemy statyczne i dynamiczne podejście do identyfikacji ról. Pokazujemy, w jaki...
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Strong weakly connected domination subdivisible graphs
PublikacjaArtykuł dotyczy wpływu podziału krawędzi na liczbę dominowania słabo spójnego. Charakteryzujemy grafy dla których podział dowolnej krawędzi zmienia liczbę dominowania słabo spójnego oraz grafy dla których podział dowolnych dwóch krawędzi powoduje zmianę liczby dominowania słabo spójnego.