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Search results for: n,n-dimetyloformamid
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Cytotoxic and Antioxidant Activities of Benzohydroxamic Acid Analogues
Publication20 benzohydroxamic acid analogues were synthesized and evaluated for their in vitro cytotoxicities against mouse mammary tumor cells as well as antioxidant activities against DPPH radical and superoxide anion. It was found that benzothiohydroxamic acids exhibit greater cytotoxicities than benzohydroxamic acids and N-isopropyl derivatives are more active than N-methyl ones. On the other hand, benzothiohydroxamic acids show more...
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Electron impact fragmentation of pyrrole molecules studied by fluorescence emission spectroscopy
PublicationThe fluorescence emission spectroscopy using electron impact excitation technique was employed to study fragmentation processes of the gas phase pyrrole molecules. The following excited fragmentation species were observed by detection of their fluorescence decay: the atomic hydrogen H(n), n = 4-7 and the diatomic CH(A2Δ), CN(B2Σ+), NH(A3Π) and C2(d3Πg) fragments. These atomic and molecular products differ from those previously...
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Interactions of amphotericin B derivative of low toxicity with biological membrane components - the Langmuir monolayer approach
PublicationMetodą monowarstw Langmuira zbadano naturę oddziaływań nowej pochodnej antybiotyku przeciwgrzybowego amfoterycyny B o niskiej toksyczności, tj. estru metylowego N-metylo-N-D-fruktopiranozyloamfoterycyny B (MF-AME)z komponentami błon biologicznych: ergosterolem, występującym w komórkach grzybowych i cholesterolem występującym w komórkach zwierzęcych oraz z modelowym fosfolipidem DPPC i na tej podstawie stwierdzono, że zróżnicowanie...
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Novel nitrogen precursors for electrochemically driven doping of titania nanotubes exhibiting enhanced photoactivity
PublicationNitrogen doped titania nanotubes were successfully sensitized by electrochemical method, i.e. as-anodized titania was immersed in different amine (diethyleneamine-DETA, triethyleneamine-TEA, ethylenediamine-EDA) and urea (U) solution and a constant potential was applied. The highly ordered morphology of fabricated N-TiO2 was investigated by using scanning electron microscopy. Spectroscopic techniques, i.e. UV-Vis spectroscopy,...
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Przemiany azotu organicznego w komunalnych oczyszczalniach ścieków
PublicationW pracy przedstawiono przemiany koloidalnego i rozpuszczonego azotu organicznego w komorach osadu czynnego czterech komunalnych oczyszczalni ścieków zlokalizowanych w Polsce północnej. Średnie stężenia DON i CON w ściekach oczyszczonych mechanicznie zmieniały się w zakresie 1,8-2,9 g N/m3 oraz 7,6-13,6 g N/m3, co stanowiło odpowiednio 4,9-8,3% oraz 16,6-41,1% azotu organicznego. W ściekach oczyszczonych biologicznie zaobserwowano...
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Amides as models to study the hydration of proteins and peptides — spectroscopic and theoretical approach on hydration in various temperatures
PublicationInteractions with water are one of the key factors which determine protein stability and activity in aqueous solutions. However, the protein hydration is still insufficiently understood. N-methylacetamide (NMA) is regarded as a minimal part of the peptide backbone and the relative simplicity of its structure makes it a good model for studies on protein–water interactions. In this paper, the influence of NMA and N,N-dimethylacetamide...
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Computational analysis of substituent effects on proton affinity and gas-phase basicity of TEMPO derivatives and their hydrogen bonding interactions with water molecules
PublicationThe study investigates the molecular structure of 2,2,6,6-tetramethylpiperidine-1-oxyl (TEMPO) and its derivatives in the gas phase using B3LYP and M06-2X functional methods. Intermolecular interactions are analyzed using natural bond orbital (NBO) and atoms in molecules (AIM) techniques. NO2-substituted TEMPO displays high reactivity, less stability, and softer properties. The study reveals that the stability of TEMPO derivatives...
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Collision-Free Network Exploration
PublicationA set of mobile agents is placed at different nodes of a n-node network. The agents synchronously move along the network edges in a collision-free way, i.e., in no round may two agents occupy the same node. In each round, an agent may choose to stay at its currently occupied node or to move to one of its neighbors. An agent has no knowledge of the number and initial positions of other agents. We are looking for the shortest possible...
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(R,R)-1-Acetyl-1'-(2,4,6-trinitrophenyl)-2,2'-bipyrrolidine
Publication(R,R)-1-Acetyl-1'-(2,4,6-trinitrophenyl)-2,2'-bipyrrolidine has been synthesized and its rentgenostructure has been determined. The structure of the title molecule, C16H19N5O7, is mainly determined by the steric effect of a bulky 2,4,6-trinitrophenyl group attached to the N atom of a pyrrolidine ring. Both pyrrolidine rings adopt an envelope conformation, with one of the methylene C atoms as the flap in each case, and the N-C-C-N...
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Concentrations of alfa- and gamma- tocopherols in human breast milk during the first months of lactation and in infant formulas
PublicationThe aim of this study was to determine the concentrations of alpha- and gamma-tocopherols in human breast milk samples from different periods of lactation and to compare them with tocopherol content in commercially available formulas for infants at corresponding ages. The study included 93 breast milk samples obtained on the 2nd (colostrum, n=17), 14th (n=30), 30th (n=27) and 90th day of lactation (n=19), along with 90 samples...
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Population-based case-control study of alpha 1-antitrypsin and SLC11A1 in Crohn's disease and ulcerative colitis.
PublicationBackground: Crohn’s disease (CD) and ulcerative colitis (UC) are chronic inflammatory diseases of the digestive tract. Genetic factors and an abnormal immune response to infections are suspected to be involved in inflammatory bowel diseases. Methods: In the present study 300 blood samples from CD patients (n 100), UC patients (n 100), and healthy controls (n 100) were taken from a population-based case-control study. PCR assays...
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Combined effect of nitrogen-doped functional groups and porosity of porous carbons on electrochemical performance of supercapacitors
PublicationIn this work, nitrogen-doped porous carbons obtained from chitosan, gelatine, and green algae were investigated in their role as supercapacitor electrodes. The effects of three factors on electrochemical performance have been studied— of the specific surface area, functional groups, and a porous structure. Varying nitrogen contents (from 5.46 to 10.08 wt.%) and specific surface areas (from 532 to 1095 m2g−1) were obtained by modifying...
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Global defensive sets in graphs
PublicationIn the paper we study a new problem of finding a minimum global defensive set in a graph which is a generalization of the global alliance problem. For a given graph G and a subset S of a vertex set of G, we define for every subset X of S the predicate SEC ( X ) = true if and only if | N [ X ] ∩ S | ≥ | N [ X ] \ S | holds, where N [ X ] is a closed neighbourhood of X in graph G. A set S is a defensive alliance if and only if for...
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Effect of lag screw on stability of first metatarsophalangeal joint arthrodesis with medial plate
PublicationBackground: First metatarsophalangeal joint (MTP-1) arthrodesis is a commonly performed procedure in the treatment of disorders of the great toe. Since the incidence of revision after MTP-1 joint arthrodesis is not insignificant, a medial approach with a medially positioned locking plate has been proposed as a new technique. The aim of the study was to investigate the effect of the application of a lag screw on the stability and...
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Dielectric Spectroscopy Studies and Modelling of Piezoelectric Properties of Multiferroic Ceramics
PublicationCompounds and solid solutions of bismuth ferrite (BiFeO3)—barium titanate (BaTiO3) system are of great scientific and engineering interest as multiferroic and potential high-temperature lead-free piezoelectric materials. In the present paper, the results of research on the synthesis and characterisation of 0.67Bi1.02FeO3–0.33BaTiO3 (67BFBT) ceramics in terms of crystal structure and dielectric and piezoelectric properties are reported....
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Incorporation of the sulfur cycle in sustainable nitrogen removal systems - A review
PublicationIn wastewater treatment systems, sulfur (S) removal processes are generally based on heterotrophic sulfate (SO42−) reduction by sulfate reducing bacteria and S-dependent autotrophic denitrification by sulfur oxidizing bacteria. A combination of either two cycles (N and S) or three cycles (N, S and C) appears to be a viable approach to sustainable wastewater treatment, resulting in energy savings and reduction of sludge production....
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Automatic Regularization by Quantization in Reducible Representations of CCR: Point-Form Quantum Optics with Classical Sources
PublicationElectromagnetic fields are quantized in a manifestly covariant way by means ofa class of reducible "center-of-mass N-representations" of the algebra of canonical commutationrelations (CCR). The four-potential Aa(x) transforms in these representations as aHermitian four-vector field in Minkowski four-position space (without change of gauge), butin momentum space it splits into spin-1 massless photons and two massless scalars. Whatwe...
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Cubane Like Structure of a Silanethiol Primary Amine Assembly a Novel, Unusual Hydrogen Bond Pattern.
PublicationMetodą rentgenowskiej analizy strukturalnej wyznaczono struktury krystaliczne i cząsteczkowe trzech soli amoniowych: (t-BuO)3SiS(-)H3N(+)Bu-t, (i-PrO)3SiS(-)H3N(+)Bu-t i (t-BuO)3SiS(-)H3N(+)(CH2)2CH(CH3)2. Wszystkie trzy związki w ciele stałym tworzą tetramery w których atomy S i N wyznaczają w przybliżeniu naroża sześcianu. Trwałość tych agregatów, oprócz sił elektrostatycznego przyciągania, zapewnia sieć wiązań wodorowych N-H
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Characteristic of Morpholinium Ionic Liquids as Gas Chromatography Stationary Phases with McReynolds Constants and Activity Coefficients at Infinite Dilution
PublicationIn this work, four ionic liquids based on N-alkyl-N-methylmorpholinium cation ([Mor1,R] where R= 2, 4, 8, 10) and bis(trifluoromethanesulfonyl)imide anion [TFSI] were synthesized. Using gas-liquid chromatography a number of parameters describing the sorption properties of the investigated ionic liquids were determined. The values of Kovats indices, McReynolds constants, and activity coefficients at infinite dilution were the basis...
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Strategia wektorowej modulacji szerokości impulsów dla wielofazowych falowników napięcia
PublicationW artykule zaproponowano strategię wektorowej modulacji szerokości impulsów dla wielofazowych falowników napięcia. Zaproponowane rozwiązanie pozwala na niezależne formowanie napięć wyjściowych w n-fazowym falowniku dwupoziomowym z wykorzystaniem (n-1) wektorów aktywnych. Przedstawiony algorytm modulacji umożliwia dobór sekwencji wektorów aktywnych i pasywnych wymagającej minimalnej liczby przełączeń...
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Odpady z produkcji alkoholu jako alternatywne źródła węgla dla wspomagania denitryfikacji w komunalnych oczyszczalniach ścieków
PublicationZaprezentowane w artykule wyniki badań potwierdziły, że produkty odpadowe z destylarni mogą stanowić alternatywę dla komercyjnych źródeł węgla zewnętrznego (np. etanol) stosowanych do wspomagania procesu denitryfikacji. Dozowanie syropu lub odcieku powodowało natychmiastowy wzrost SDN (ponad 3 g N/(kg s.m.o.•h)), natomiast SDN z olejem fuzlowym i niezaadaptowanym osadem czynnym były stosunkowo niskie (< 2 g N/(kg s.m.o.•h)). Należy...
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Universal Augmentation Schemes for Network Navigability
PublicationRozważano problem uzupełniania grafu (reprezentującego np. sieci społeczne) poprzez dodanie w każdym węźle jednego dodatkowego skierowanego połączenia (długodystansowego). Dokładniej, dla każdego węzła definiuje się listę prawdopodobieństw istnienia połączenia wychodzącego z danego węzła do wszystkich pozostałych węzłów; wartości tych prawdopodobieństw muszą sumować się do jedności. Routing zachłanny w takiej sieci polega na przekazywaniu...
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The role of SSVF and SSHF beds in concentrated wastewater treatment, design recommendation
PublicationThe return flows of reject water from sewage sludge dewatering alter the activated sludge process ina conventional WWTP and increase TN concentration in the final effluent from WWTP. The objectiveof the investigation carried out was to consider the application of multistage treatment wetland(MTW) for the treatment of reject water from sewage sludge dewatering in a centrifuge (RWC). Thispaper aims to present the design and performance...
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A note on the Morse homology for a class of functionals in Banach spaces involving the 2p-area functional
PublicationIn this paper we show how to construct Morse homology for an explicit class of functionals involving the 2p-area functional. The natural domain of definition of such functionals is the Banach space W_0^{1,2p}(\Omega), where p > n/2 and \Omega \subet R^n is a bounded domain with sufficiently smooth boundary. As W_0^{1,2p}(\Omega) is not isomorphic to its dual space,critical points of such functionals cannot be non-degenerate...
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Partially Isolated Multi-Active Bridge DC-DC Converter with Bidirectional EV Charging Ports
PublicationThere is a growing interest in multiport converters due to their ability to interconnect various energy sources and loads using reduced number of components. Regarding electric vehicle (EV) chargers connection, existing multiport solutions either lack scalability, featuring only one isolated charging port or the operation of ports depend on each other, complicating the converter control algorithm. This article proposes a partially...
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Effects of different external carbon sources and electron acceptors on interactions between denitrification and phosphorus removal in BNR processes
PublicationThe effects of two different external carbon sources (acetate, ethanol) and electron acceptors (dissolved oxygen, nitrate and nitrite) were investigated under aerobic and anoxic conditions with non-acclimated process biomass from a full-scale biological nutrient removal activated sludge system. When acetate was added as an external carbon source, phosphate release was observed even in the presence of electron acceptors. The release...
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Ammonia amendment promotes high rate lactate production and recovery from semi-continuous food waste fermentation
PublicationIn this study, a reliable approach using ammonia nitrogen was proposed to increase lactate production during semi-continuous food waste (FW) fermentation under mesophilic conditions. Both free ammonia nitrogen (FAN) and ammonium ion (NH4+-N) were present in mesophilic reactors, with a wide FAN/NH4+-N ratio variation due to the intermittent pH control. The investigation of responsible mechanisms revealed that the increased production...
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Place Attachment and Collective Action Tendency
PublicationThree studies were carried out to examine how place attachment and collective action tendency are related and what role self-expansion and social interactions play in this relationship. In the first study (N = 156) we found that a more active form of attachment – place discovered – is a significant predictor of tendency to engage in collective action in favor of one’s neighborhood. In the second study (N = 197), we focused on...
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On the time behaviour of Okazaki fragments
PublicationW pracy wyprowadzono wzory na prawdopodobieństwo, że podczas procesu replikacji DNA w chwili t pojawi się n fragmentów Okazaki.
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Synthesis and biological activity of ester derivatives of mycophenolic acid and acridines/acridones as potential immunosuppressive agents
PublicationImproved derivatives of mycophenolic acid (MPA) are necessary to reduce the frequency of adverse effects, this drug exerts in treated patients. In this study, MPA was coupled with N-(x-hydroxyalkyl)-9-acridone-4-carboxamides or N-(x-hydroxyalkyl)acridine-4-carboxamides to give respective ester conjugates upon Yamaguchi protocol. This esterification required protection of phenol group in MPA. Designed conjugates revealed higher...
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An upper bound on the 2-outer-independent domination number of a tree
PublicationA 2-outer-independent dominating set of a graph G is a set D of vertices of G such that every vertex of V(G)D has a at least two neighbors in D, and the set V(G)D is independent. The 2-outer-independent domination number of a graph G, denoted by gamma_2^{oi}(G), is the minimum cardinality of a 2-outer-independent dominating set of G. We prove that for every nontrivial tree T of order n with l leaves we have gamma_2^{oi}(T) <= (n+l)/2,...
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An Alternative Proof of a Lower Bound on the 2-Domination Number of a Tree
PublicationA 2-dominating set of a graph G is a set D of vertices of G such that every vertex not in D has a at least two neighbors in D. The 2-domination number of a graph G, denoted by gamma_2(G), is the minimum cardinality of a 2-dominating set of G. Fink and Jacobson [n-domination in graphs, Graph theory with applications to algorithms and computer science, Wiley, New York, 1985, 283-300] established the following lower bound on the 2-domination...
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Bismuth germanate and bismuth silicate glasses in cryogenic detectors.
PublicationStwierdzono, że przewodnictwo elektryczne redukowanych szkieł silnie zależy od temperatury, czasu reakcji i koncentracji Bi. Zależność przewodnictwa elektrycznego od temperatury jest dobrze opisana przez funkcję ĺ~exp[-(T0/T)n,gdzie n=1/4. Współczynnik emisji wtórnej elektronów jest praktycznie niezależny od stopnia redukcji ale znacznie rośnie po domieszkowaniu szkieł alkalicznymi jonami. Badania dowiodły, że modyfikowane...
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<i>catena</i>-Poly[[[bis(thiourea-κS)cadmium]-di-μ-thiocyanato-κ<sup>2</sup>N:S;κ<sup>2</sup>S:N] dihydrate]
PublicationTytułowy związek tworzy jednowymiarowy łańcuch na skutek występowania mostkujących grup SCN pomiędzy atomami kadmu. Atomy kadmu obsadzają krystalograficzne środki symetrii i są koordynowane oktaedrycznie (zdeformowany oktaedr) przez 2 atomy S i 2 atomy N z mostkujących ligandow SCN oraz przez 2 atomy S z dwóch cząsteczek tiomocznika. Upakowanie jest wspomagane przez dodatkowe wiązania międzycząsteczkowe OH...S, NH...O i NH...N....
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Cooperative mobile guards in grids
PublicationPraca dotyczy problemu strzeżenia dwuwymiarowych krat ortogonalnych, przy założeniu, że obszar widoczności strażnika obejmuje jedną ulicę oraz wszystkie ulice ją przecinające. Rozważano wariant straży słabo współpracujących, w którym dodatkowo każdy strażnik musi widzieć przynajmniej jednego innego strażnika. Podano dowód NP-trudności problemu optymalizacyjnego w przypadku ogólnym, algorytm dokładny o złożoności O(n log n) dla...
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A note on polynomial algorithm for cost coloring of bipartite graphs with Δ ≤ 4
PublicationIn the note we consider vertex coloring of a graph in which each color has an associated cost which is incurred each time the color is assigned to a vertex. The cost of coloring is the sum of costs incurred at each vertex. We show that the minimum cost coloring problem for n-vertex bipartite graph of degree ∆≤4 can be solved in O(n^2) time. This extends Jansen’s result [K.Jansen,The optimum cost chromatic partition problem, in:...
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Ocena badań kinetycznych procesu usuwania azotu z odcieków w procesie nitryfikacji–denitryfikacji w reaktorze typu SBR
PublicationIstotnym źródłem azotu dopływającego do części biologicznej komunalnychoczyszczalni ścieków są odcieki pochodzące z beztlenowych komór fermentacji osadu.Ilościowo odcieki te stanowią zaledwie 1-2% dopływu ścieków do oczyszczalni, ale ładunekazotu kierowany wraz z nimi do ciągu głównego może wynosić nawet 10-30% ogólnegoładunku azotu. Dzięki zastosowaniu wydzielonych systemów oczyszczania odciekówmożliwe jest usunięcie nawet 90%...
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Ocena badań kinetycznych procesu usuwania azotu z odcieków w procesie nitryfikacji–denitryfikacji w reaktorze typu SBR
PublicationIstotnym źródłem azotu dopływającego do części biologicznej komunalnychoczyszczalni ścieków są odcieki pochodzące z beztlenowych komór fermentacji osadu.Ilościowo odcieki te stanowią zaledwie 1-2% dopływu ścieków do oczyszczalni, ale ładunekazotu kierowany wraz z nimi do ciągu głównego może wynosić nawet 10-30% ogólnegoładunku azotu. Dzięki zastosowaniu wydzielonych systemów oczyszczania odciekówmożliwe jest usunięcie nawet 90%...
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Removal of nitrogen from wastewater: Unsolved problems and possible solutions with partial denitrification/anammox systems
PublicationAbstract Nitrate (NO3−) is more stable than ammonia (NH4+) and nitrite (NO2−) among the majority of emerging pollutants in wastewater that can harm the ecosystem by depleting oxygen and water quality, thereby posing environmental and human health risks. Despite anaerobic ammonium oxidation (anammox) being a common method for nitrogen (N) removal from wastewater, it leaves behind residual NO3− of around 11 %. Maintaining the stability...
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Fast Collaborative Graph Exploration
PublicationWe study the following scenario of online graph exploration. A team of k agents is initially located at a distinguished vertex r of an undirected graph. At every time step, each agent can traverse an edge of the graph. All vertices have unique identifiers, and upon entering a vertex, an agent obtains the list of identifiers of all its neighbors. We ask how many time steps are required to complete exploration, i.e., to make sure...
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Exposure of a small Arctic seabird, the little auk (Alle alle) breeding in Svalbard, to selected elements throughout the course of a year
PublicationThe Arctic marine ecosystem can be altered by processes of natural and anthropogenic origin. Spatio-temporal variation in species exposure to contamination is still poorly understood. Here, we studied elemental concentrations in the non-lethally collected samples from the most numerous seabird in European Arctic, the little auk (Alle alle) nesting in one breeding colony in Svalbard. This seabird spent the breeding season in the...
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Copper(I) iodide ribbons coordinated with thiourea derivatives
PublicationTwo products of the reactions of CuI with 1-benzoyl-3-(4-bromophenyl)thiourea and with 1-benzoyl-3-(2-iodophenyl)thiourea have been obtained and characterized, namely poly[[[1-benzoyl-3-(4-bromophenyl)thiourea-κS]-µ3-iodidocopper(I)] acetone hemisolvate], {[CuI(C₁₄H₁₁BrN₂OS)]‧0.5C₃H₆O}ₙ, and poly-[µ₄-iodido-µ₃-iodido-[N-(benzo[d]thiazol-2-yl)benzamide-κN]dicopper(I)], [Cu₂I₂(C₁₄H₁₀N₂OS)]ₙ. Their structures, determined by single-crystal...
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ANALYSIS OF ENERGY EFFICIENCY IN ELECTRIC DRIVES
PublicationIn this paper energy efficiency in electric drives is analysed. This factor strongly depends on energy parameters - efficiency n and power factor k (in special case cos fi)
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Bound on Bell inequalities by fraction of determinism and reverse triangle inequality
PublicationIt is an established fact that entanglement is a resource. Sharing an entangled state leads to nonlocal correlations and to violations of Bell inequalities. Such nonlocal correlations illustrate the advantage of quantum resources over classical resources. In this paper, we quantitatively study Bell inequalities with 2 × n inputs. As found in Gisin et al. [Int. J. Quantum. Inform. 05, 525 (2007)], quantum mechanical correlations...
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Makespan minimization of multi-slot just-in-time scheduling on single and parallel machines
PublicationArtykuł podejmuje problem szeregowania zadań przy założeniu podziału czasu na sloty jednakowej długości, gdzie każde z zadań ma ustaloną długość oraz czas jego zakończenia, który jest relatywny do końca slotu. Problem znalezienia uszeregowania polega na dokonaniu przydziału zadań do poszczególnych slotów, przy czym w ogólności długość zadania może wymuszać sytuację, w której zadańie jest realizowane nie tylko w slocie, w którym...
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The role of SSVF and SSHF beds in concentrated wastewater treatment, design recommendation
PublicationThe return flows of reject water from sewage sludge dewatering alter the activated sludgeprocess in a conventional WWTP and increas TN concentration in final effluent from WWTPs.The objectives of the investigation carried out is to consider the application of sequential SS VFbeds and an SS HF bed for the treatment of highly polluted wastewater, namely reject waterfrom sewage sludge dewatering in a centrifuge (RWC). This paper aims...
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Characterization of GM3 Gangliosides in Human Milk throughout Lactation: Insights from the Analysis with the Use of Reversed-Phase Liquid Chromatography Coupled to Quadrupole Time-Of-Flight Mass Spectrometry
PublicationGangliosides are complex lipids found in human milk that play important structural and biological functions. In this study, we utilized reversed-phase liquid chromatography coupled to quadrupole time-of-flight mass spectrometry to evaluate the molecular distribution of GM3 in human milk samples collected at distinct lactation stages, ranging from colostrum to advanced lactation samples. Throughout lactation, GM3 d40:1 emerged as...
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Zn(II) and Cd(II) coordination polymers with tri-tert-butoxysilanethiol and bipyridines. Synthesis, crystal structure and spectroscopy
PublicationTrzy nowe silanotiolany cynku(II) I kadmu(II) [Zn{SSi(OtBu)3}2(μ-bpea) •CH3CN]n 1, [Cd{SSi(OtBu)3}2(μ -bpea) •2CHCl3]n 2 oraz [Cd{SSi(OtBu)3}2(μ -bpey)•C7H8]n 3 otrzymane z użyciem pochodnych bipirydylu [bpea = 1,2-bis(4-pyridyl)etan and bpey = 1,2-bis(4-pyridyl)etylen] zostały zsyntetyzowane i strutkualnie scharakteryzowane przy użyciu rentgenografii strukturalnej XRD. Ich budowa krystaliczna została dodatkowo potwierdzona przy...
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10-Methyl- and 9,10-dimethyl acridinium methyl sulfate
PublicationThe title compounds, C(14)H(12)N(+).CH(3)O(4)S(-), (I), and C(15)H(14)N(+).CH(3)O(4)S(-), (II), respectively, crystallize with the planar 10-methylacridinium or 9,10-dimethylacridinium cations arranged in layers, parallel to the twofold axis in (I) and perpendicular to the 2(1) axis in (II). Adjacent cations in both compounds are packed in a 'head-to-tail' manner. The methyl sulfate anion only exhibits planar symmetry in (II)....
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Tighter bounds on the size of a maximum P3-matching in a cubic graph
PublicationW pracy pokazano, że największe P3-skojarzenie dla dowolnego grafu o n>16 wierzchołkach składa się z przynajmniej 117n/152 wierzchołków.