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An improved preparation of N2-tert-butoxycarbonyl- and N2-benzyloxycarbonyl-(S)-2,4-diaminobutanoic acids.
PublikacjaN-Benzyloksykarbonylo i N-tert-butoksykarbonylo-(S)-asparaginę przekształcono do odpowiednio chronionego kwasu (S)-2,4-diaminobutanowego z dobrą wydajnością, w reakcji z octanem jodobenzenu w temp. 0 st.C w mieszaninie tetrahydrofuranu i wody.
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Routing equal-size messages on a slotted ring
PublikacjaAnalizujemy problem routingu wiadomości w sieci slotted ring, biorąc pod uwagę dwa kryteria optymalizacyjne: długość uszeregowania oraz liczbę 'cykli' pracy sieci. Optymalny routing dla wiadomości o rozmiarze k jest silnie NP-trudny, natomiast dla k=q, gdzie q jest rozmiarem sieci, można obliczyć w czsie O(n^2log n) dla pierwszego kryterium. Podajemy również algorytm o czasie działania O(nlog n) oraz o stałym współczynniku dobroci....
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Superexcited states in the vacuum-ultraviolet photofragmentation of isoxazole molecules
PublikacjaThe photofragmentation of isoxazole molecules producing excited atomic and molecular fragments has been investigated over the energy range 16-50 eV, using photon-induced fluorescence spectroscopy. The following fragments have been identified by their fluorescence: the excited hydrogen atoms H(n), n = 3-7 and the diatomic CH(A2Δ, B2Σ−), CN(B2Σ+) and C2(d3Πg) fragments. The diatomic fragments are vibrationally and highly rotationally...
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Chromogenic amides of pyridine-2,6-dicarboxylic acid as anion receptors
PublikacjaThe synthesis of simple, chromogenic pyridine-2,6-dicarboxylic acid amides, derivates of isomeric nitroanilines and aminonitrophenols, and their ion binding properties are described. The ligands' response to ionic species was examined by naked eye and was studied with the use of UV-Vis spectroscopy in DMSO and its mixture with water. The effect of the localisation and the type of the substituents in aromatic rings were discussed....
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Nondestructive Optical Sensing of Flavonols and Chlorophyll in White Head Cabbage ( Brassica oleracea L. var. capitata subvar. alba ) Grown under Different Nitrogen Regimens
PublikacjaA multiparametric optical sensor was used to nondestructively estimate phytochemical compounds in white cabbage leaves directly in the field. An experimental site of 1980 white cabbages (Brassica oleracea L. var. capitata subvar. alba), under different nitrogen (N) treatments, was mapped by measuring leaf transmittance and chlorophyll fluorescence screening in one leaf/cabbage head. The provided indices of flavonols (FLAV) and...
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Experimental and theoretical study of protonated water cluster
PublikacjaZa pomocą metody rojowej zbadano powstanie i dryf dodatnio naładowanych klastrów wody H+(H20)n n=1-7. Oszacowano energie dysocjacji. Prace uzupełniają obliczenia kwantowe konfiguracji wybranych klastrów. Dokonano obliczeń kilkunastu konfiguracji zjonizowanych klastrów.
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Reaction of thio and seleno phosphoric acid derivatives with O-thioacylated hydroxylamine
PublikacjaZbadano reakcję siarkowych i selenowych analogów kwasu O,O-neopentylidenofosforowego z O-tiopiwaloilo-N-tert-butylohydroksyloaminą, w której to następuje rozszczepienie wiązania N-O. Znaleziono korelację pomiędzy potencjałem utleniającym anionu pochodnej kwasu fosforowego a przebiegiem badanej reakcji.
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Bromidotetrakis(2-ethyl-1H-imidazole-KN3)copper(II) bromide
PublikacjaThe CuII ion in the title complex, [CuBr(C5H8N2)4]Br, is coordinated in a square-pyramidal geometry by four N atoms of imidazole ligands and one bromide anion in the apical position. In the crystal, the ions are linked by a 3-D network of N-H---Br and CH---Br hydrogen bonds.
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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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Nutrient loss from three small-size watersheds in the southern Baltic Sea in relation to agricultural practices and policy
PublikacjaAgriculture is the major contributor of waterborne nutrient fluxes into the Baltic Sea, one of the world’s most eutrophication-sensitive areas. Poland, as a large, densely populated state ohf the Baltic Region, with dominating agricultural land use, largely contributes to riverborne loads of N and P. The aim of our study was to examine the input of nutrients from three small first-order agricultural watersheds (Bladzikowski Stream,...
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How to meet when you forget: log-space rendezvous in arbitrary graphs
PublikacjaTwo identical (anonymous) mobile agents start from arbitrary nodes in an a priori unknown graph and move synchronously from node to node with the goal of meeting. This rendezvous problem has been thoroughly studied, both for anonymous and for labeled agents, along with another basic task, that of exploring graphs by mobile agents. The rendezvous problem is known to be not easier than graph exploration. A well-known recent result...
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Stabilizing agents and protein stability
PublikacjaBiałka są kluczowymi elementami żywych organizmów, jak również efektywnymi katalizatorami w biotechnologii i medycynie. Szybki rozwój wielu gałęzi biotechnologii wiąże się z coraz większym zapotrzebowaniem na produkty białkowe charakteryzujące się wysoką stabilnością. Jednym ze sposobów osiągnięcia większej stabilności białek jest wykorzystanie małych związków organicznych, tzw. osmolitów. Do tej grupy związków należą aminokwasy,...
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A distillery by-product as an external carbon source for enhancing denitrification in mainstream and sidestream treatment processes
PublikacjaThe use of fusel oil as an 'alternative' carbon source for denitrification in the mainstream and sidestream treatment processes was studied. Research comprised two kinds of batch experiments as well as acclimation of process biomass to external carbon sources. In the conventional nitrate utilization rate (NUR) measurements (one-phase experiments with non-acclimated biomass), the NUR with fusel oil was 1.4-1.7 g N/(kg VSS•h which...
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Chitin and derivative chitosan-based structures — Preparation strategies aided by deep eutectic solvents: A review
PublikacjaThe high molecular weight of chitin, as a biopolymer, challenges its extraction due to its insolubility in the solvents. Also, chitosan, as the N-deacetylated form of chitin, can be employed as a primary material for different industries. The low mechanical stability and poor plasticity of chitosan films, as a result of incompatible interaction between chitosan and the used solvent, have limited its industrialization. Deep eutectic...
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Systematic comparison of a biotrickling filter and a conventional filter for the removal of a mixture of hydrophobic VOCs by Candida subhashii
PublikacjaThis work systematically compared the potential of a conventional fungal biofilter (BF) and a fungal biotrickling filter (BTF) for the abatement of a mixture of hydrophobic volatile organic compounds (VOCs). Candida subhashii was herein used for the first time, to the best of the author's knowledge, to remove n-hexane, trichloroethylene, toluene and α-pinene under aerobic conditions. C. subhashii immobilized on polyurethane foam...
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Mechanism of Osmolyte Stabilization–Destabilization of Proteins: Experimental Evidence
PublikacjaIn this work, we investigated the influence of stabilizing (N,N,N-trimethylglycine) and destabilizing (urea) osmolytes on the hydration spheres of biomacromolecules in folded forms (trpzip-1 peptide and hen egg white lysozyme─hewl) and unfolded protein models (glycine─GLY and N-methylglycine─NMG) by means of infrared spectroscopy. GLY and NMG were clearly limited as minimal models for unfolded proteins and should be treated with...
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Identification and antimicrobial susceptibility of fecal coliforms isolated from surface water
Publikacjaof 274 fecal coliforms isolated from two watercourses influencing the costal water quality of the gdańsk and the puck bay, 265 were identified as escherichia coli. the remained strains belonged to: acinetobacter spp. (n=1), enterobacter spp. (n=3), klebsiella spp. (n=4) and shigella spp. (n=1). the susceptibility of 222 e. coli was tested against 19 antimicrobial agents: aminoglycosides, carbapenems, cephalosporines, folate antagonists,...
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Integration of the sulfate reduction and anammox processes for enhancing sustainable nitrogen removal in granular sludge reactors
PublikacjaThe Anammox and Sulfate Reduction Ammonium Oxidation processes were compared in two granular sequencing batch reactors operated for 160 days under anammox conditions. It was hypothesized that increasing the concentration of SO42− may positively influence the rate of N removal under anaerobic conditions and it was tested whether SO42− reduction and anammox occur independently or are related to each other. The cooperation of N-S...
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An efficient algorithm for the longest tandem scattered subsequence problem.
PublikacjaReferat dotyczy zagadnienia wyznaczania najdłuższego podciągu podwójnego (typu x1,x2,...,xk,x1,x2,...,xk) dla zadanego ciągu znaków (y1,y2,...,yn). Podano algorytm o złożoności obliczeniowej O(n^2) i pamięciowej O(n) znajdujący optymalne rozwiązanie postawionego problemu.
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Packing Three-Vertex Paths in 2-Connected Cubic Graphs
PublikacjaW pracy rozważano problem rozmieszczanie ścieżek P3 w 2-spójnych grafach 3-regularnych. Pokazano, że w 2-spójnym grafie 3-regularnym o n wierzchołkach można zawsze pokryć 9/11 n wierzchołków przez ścieżki P3; podano także odpowiednie oszacowania górne.
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Convenient and Efficient Synthesis of Functionalized 2-Sulfenylindoles
PublikacjaA simple, efficient, and practical sulfenylation at the C2 position of N-tosylindoles under mild conditions was developed. The designed transformation is based on the reaction of N-tosylindoles with BuLi and S-alkyl, and S-aryl phosphorodithioates or thiotosylates to produce 2-sulfenylindoles in moderate to high yields. The presence of additional hydroxy, carboxy, or amino functionalities did not disturb the formation of products
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2-hydroxypropanammonium benzenethiolate
PublikacjaZwiązek o wzorze C3H10ON+ x C6H5S- został otrzymany poprzez reakcję tiofenolu z 2-hydroksypropyloaminą. Oba fragmenty jonowe powiązane są wiązaniami wodorowymi N-H...S, O-H...S i N-H...O. Strukturę cząsteczkową i krystaliczną wyznaczono posługując się rentgenowską analizą strukturalną.
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Nanorurki węglowe domieszkowane azotem. Synteza i zastosowania
PublikacjaPrzedstawiono rodzaje i właściwości nanorurek węglowych. Szczególną uwagę poświęcono nanorurkom węglowym domieszkowanym azotem (N-CNT). Zaprezentowano sposoby syntezy oraz modyfikacji N-CNT. Omówiono także możliwości wykorzystania nanorurek jako elektrod w urządzeniach do magazynowania i konwersji energii elektrycznej oraz w elektrokatalizie.
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Impact of soluble organic matter and particulate organic matter on anammox system: Performance, microbial community and N2O production
PublikacjaIn this study, the effects of soluble readily biodegradable COD (sCOD) and particulate slowly biodegradable COD (pCOD) on anammox process were investigated. The results of the longterm experiment indicated that a low sCOD/N ratio of 0.5 could accelerate the anammox and denitrification activity, to reach as high as 84.9% ±2.8% TN removal efficiency. Partial denitrification-anammox (PDN/anammox) and denitrification were proposed...
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Modeling nitrous oxide production by a denitrifying-enhancedbiologically phosphorus removing (EBPR) activated sludge in thepresence of different carbon sources and electron acceptors
PublikacjaIn this study, the IWA Activated Sludge Model No. 2d (ASM2d) was expanded to identify the most important mechanisms leading to the anoxic nitrous oxide (N2O) production in the combined nitrogen (N) and phosphorus (P) removal activated sludge systems. The new model adopted a three-stage denitrification concept and was evaluated against the measured data from one/two-phase batch experiments carried out with activated sludge withdrawn...
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The searchlight problem for road networks
PublikacjaWe consider the problem of searching for a mobile intruder hiding in a road network given as the union of two or more lines, or two or more line segments, in the plane. Some of the intersections of the road network are occupied by stationary guards equipped with a number of searchlights, each of which can emit a single ray of light in any direction along the lines (or line segments) it is on. The goal is to detect the intruder,...
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Application of surface active amino acid ionic liquids as phase-transfer catalyst
PublikacjaFive structurally related morpholinium derived ionic liquids containing N-acetyl-glycinate anion were synthesized and their thermal stability, surface properties and activity as phase transfer catalysts investigated. The thermal properties were studied by differential scanning calorimetry, while the adsorption at the air/water interface and micellization behavior was analyzed by surface tension measurements, conductometry and isothermal...
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On the relationship between the structural and volumetric properties of solvated metal ions in O-donor solvents using new structural data in amide solvents
PublikacjaThe structures of the N,N-dimethylformamide (dmf), N,N-dimethylacetamide (dma), and N,N-dimethylpropionamide (dmp) solvated strontium and barium ions have been determined in solution using large angle X-ray scattering and EXAFS spectroscopy. The strontium ion has a mean coordination number (CN) between 6.2 and 6.8, and the barium ion has a mean CN between 7.1 and 7.8 in these amide solvents. The non-integer numbers indicates that...
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Antibiotic resistance in Staphylococcus aureus strains isolated from cows with mastitis in the eastern Poland and analysis of susceptibility of resistant strains to alternative non-antibiotic agents: lysostaphin, nisin and polymyxin B.
PublikacjaThe aim of the studies was analysis of resistance of Staphylococcus aureus isolates from bovine mastitis in eastern part of Poland to a set of 20 antibiotics and three alternative agents: lysostaphin, nisin and polymyxin B. Eighty-six out of 123 examined isolates were susceptible to all of 20 tested antibiotics (70 %). The highest percentage of resistance was observed in the case of β-lactam antibiotics: amoxicillin (n=22, 17.9...
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Application of the Anammox Process for Treatment of Liquid Phase Digestate
PublikacjaThe liquid phase of the digestate (LPD) contains a relatively high concentration of nitrogen, with total ammonium nitrogen being the dominant form of nitrogen, as well as other essential nutrients such as phosphorus and potassium. Consequently, it must be treated before it is released into the environment. However, there are no reports of co-purification of LPD in the anammox process in sequencing batch reactor with granular sludge,...
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Rheology of potato starch chemically modified with microwave-assisted reactions
PublikacjaNative potato starch was sulfated, selenated, borated, silicated and zincatated by means of microwave-assisted reactions with varying doses of relevant reagents. Resulting products were characterized involving rheological behavior of pastes, their weight-average molecular weight (Mw), and radius of gyration (Rg). Most of the pastes showed shear-thinning behavior, with the flow behavior index (n) below unity. The pastes of starch...
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Crystallographic study of self-organization in the solid state including quasi-aromatic pseudo-ring stacking interactions in 1-benzoyl-3-(3,4-dimethoxyphenyl)thiourea and 1-benzoyl-3-(2-hydroxypropyl)thiourea
Publikacja1-Benzoylthioureas contain both carbonyl and thiocarbonyl functional groups and are of interest for their biological activity, metal coordination ability and involvement in hydrogen-bond formation. Two novel 1-benzoylthiourea derivatives, namely 1-benzoyl-3-(3,4-dimethoxyphenyl)thiourea, C₁₆H₁₆N₂O₃S, (I), and 1-benzoyl-3-(2-hydroxypropyl)thiourea, C₁₁H₁₄N₂O₂S, (II), have been synthesized and characterized. Compound (I) crystallizes...
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Analytical calculations of scattering lengths for a class of long-range potentials of interest for atomic physics
PublikacjaWe derive two equivalent analytical expressions for an $l$th partial-wave scattering length $a_{l}$ for central potentials with long-range tails of the form % \begin{math} \displaystyle V(r)=-\frac{\hbar^{2}}{2m}\frac{Br^{n-4}}{(r^{n-2}+R^{n-2})^{2}} -\frac{\hbar^{2}}{2m}\frac{C}{r^{2}(r^{n-2}+R^{n-2})}, \end{math} % ($r\geqslant r_{s}$, $R>0$). % For $C=0$, this family of potentials reduces to the Lenz potentials discussed in...
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Nitrogen-incorporated boron-doped diamond films for enhanced electrochemical supercapacitor performance
PublikacjaThe electrochemical (EC) supercapacitor, known for its rapid charging, reliability, and versatile applications, demands optimized electrode characteristics and an understanding of their electrochemical behaviour. Although boron-doped diamond (BDD) holds promise as a supercapacitor electrode, a crucial gap exists in comprehending its material behaviour under specific growth conditions. Here, nitrogen-incorporated BDD (N-BDD) films...
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Elimination and migration of hydrogen in the vacuum-ultraviolet photodissociation of pyridine molecules
PublikacjaElimination of the excited hydrogen atoms H(n), n = 4–7, and hydrogen migration in formation of the excited NH(A 3Π) free radicals in the photodissociation of pyridine, C5H5N, molecules have been studied over the 17.5–70 eV photon energy range. In the measurements the photon-induced fluorescence spectroscopy technique has been applied. Both fragments are produced through excitation of pyridine molecules into higher-lying superexcited...
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The effect of an active force while slide diamond burnishing of wooden shafts upon process quality
PublikacjaThe quality of the surface of wooden elements that have been turned and burnished has got a crucial meaning in the whole production process flow, since the obtained effects affect the quality of the wooden surface after finishing (coating, painting). In the paper, selected results of the investigation of the effect of the burnishing process on the surface quality of the elements after turning are presented. Research experiments...
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Scheduling with precedence constraints: mixed graph coloring in series-parallel graphs.
PublikacjaW pracy rozważono problem kolorowania grafów mieszanych, opisujący zagadnienie szeregowania zadań, w którym zależności czasowe zadań mają charakter częściowego porządku lub wzajemnego wykluczania. Dla przypadku, w którym graf zależności jest szeregowo-równoległy, podano algorytm rozwiązujący problem optymalnie w czasie $O(n^3.376 * log n)$.
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Planar chiral dianthranilide and dithiodianthranilide molecules: optical resolution, chiroptical spectra, and molecular self-assembly.
PublikacjaChiralny planarnie diantranilid został rozdzielony na enancjomery przy użyciu chlorku (-)-(1S,4R)-kamfanoilu. Konfigurację absolutną (S)-enancjomeru ustalono na podstawie analizy rentgenograficznej monokryształu jego N,N'-dikamfoilopochodnej. Natomiast rozdział ditiodiantranilidu na enancjomery przeprowadzono poprzez tworzenie związków inkluzyjnych z (R,R)-1,2-diaminocykloheksanem. Otrzymanemu w ten sposób enancjomerowi przypisano...
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ZASTOSOWANIE PROCESU ANAMMOX W OCZYSZCZANIU WÓD POOSADOWYCH
PublikacjaNiniejszy artykuł przedstawia możliwości biologicznego usuwania azotu z wód poosadowych pochodzących z procesów przeróbki osadów. Otrzymane w połączonym procesie nitrytacja-anammox szybkości usuwania azotu, porównano z osiąganymi w konwencjonalnym procesie nitryfikacjadenitryfikacja. Obserwowana objętościowa szybkość procesu anammox mieści się w zakresie 0,245–0,262 kg N m-3d-1i jest bardzo zbliżona do wartości prezentowanych w...
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A Novel Coupling Matrix Synthesis Technique for Generalized Chebyshev Filters With Resonant Source–Load Connection
PublikacjaThis paper reports a novel synthesis method for microwave bandpass filters with resonant source–load connection. In effect, a network realizing N+1 transmission zeros (where N is the number of reflection zeros) is obtained. The method is based on a prototype transversal coupling matrix (N+2, N+2) with source and load connected by a resonant circuit formed by a capacitor in parallel with a frequency-invariant susceptance. To complement...
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Distributed largest-first algorithm for graph coloring.
PublikacjaW artykule zaprezentowano rozproszony, probabilistyczny algorytm kolorowania grafów. Kolorowanie uzyskane jest optymalne lub prawie optymalne dla takich klas grafów jak koła dwudzielne, gąsienice czy korony. Udowodniono, że algorytm ten działa w czasie O(D^2 log n) rund dla dowolnego grafu n wierzchołkowegoo stopniu maksymalnym D.
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Synthesis and antimicrobial activity of 6-sulfo-6-deoxy-D-glucosamine and its derivatives
Publikacja6-Sulfo-6-deoxy-D-glucosamine (GlcN6S), 6-sulfo-6-deoxy-D-glucosaminitol (ADGS) and their N-acetyl and methyl ester derivatives have been synthesized and tested as inhibitors of enzymes catalyzing reactions of the UDP-GlcNAc pathway in bacteria and yeasts. GlcN6S and ADGS at micromolar concentrations inhibited glucosamine-6-phosphate (GlcN6P) synthase of microbial origin. The former was also inhibitory towards fungal GlcN6P N-acetyl...
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The role of the combined nitrogen-sulfur-carbon cycles for efficient performance of anammox-based systems
PublikacjaThe combined anammox/mixotrophic denitrification process was conducted in two granular sequencing batch reactors (SBRs) during a 200-day operation. Both reactors were fed with synthetic medium, but SBR2 was enriched with additional sulfate (SO4 2 ) which influenced sulfate reduction ammonium oxidation (SRAO) and heterotrophic reduction of SO4 2 by sulfate reducing bacteria. It was hypothesized that the addition of SO4 2 could...
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Gradient versus proper gradient homotopies
PublikacjaWe compare the sets of homotopy classes of gradient and proper gradient vector fields in the plane. Namely, we show that gradient and proper gradient homotopy classi cations are essentially different. We provide a complete description of the sets of homotopy classes of gradient maps from R^n to R^n and proper gradient maps from R^2 to R^2 with the Brouwer degree greater or equal to zero.
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Green's function for the wavized Maxwell fish-eye problem
PublikacjaRozpatrzono niezależne od czasu skalarne równanie falowe dla ośrodka typu ''rybie oko'' Maxwella w przestrzeni R^N (N >=2). Pokazano, że równanie to posiada unikalne własności transformacyjne względem inwersji w pewnej klasie hipersfer. Wykorzystano ten fakt do znalezienia zamkniętej postaci funkcji Greena, oraz uogólnionej funkcji Greena, dla wyjściowego równania.
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Łączenie danych pomiarowych z dodatkową wiedzą metrologiczną w celu oceny niepewności pomiaru
PublikacjaPrzedstawiono modus operandi w ocenie niepewności pomiaru dla krótkich serii pomiarowych. Metoda wykorzystuje dodatkową wiedzę metrologiczną do zwiększenia liczby stopni swobody rozkładu t-Studenta, uzyskiwanego w wyniku bayesowskiej analizy wyników pomiarów. W rezultacie możliwe jest oszacowanie niepewności standardowych dla najkrótszych serii pomiarowych, o długości n=2 i n=3.
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Efficient Method for the Synthesis of Functionalized Basic Maleimides
PublikacjaA three-step procedure involving Diels-Alder condensation of maleic anhydride with furane, formation of N-substituted imide upon reaction with appropriate diamine and a final retro Diels-Alder regeneration of the maleic carbon-carbon double bond is proposed for an unequivocal synthesis of N-substituted basic maleimides. The novel method is characterized by mild reaction conditions, easy work-up, high yields and no need for additional...
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Wykorzystanie języka VHDL do modelowania układów pracujących w logice wielowartościowej i arytmetyce resztkowej
PublikacjaW pracy przedstawiono bibliotekę zbudowaną w oparciu o język VHDL, przeznaczoną do symulacji elementów pracujących w logice wielowartościowej i w arytmetyce resztowej. Zaprezentowano również bramki prądowe - nowe elementy logiczne cechujące się znacznie mniejszym poziomem szumu cyfrowego. Pokazano przykłady sumatorów działających w logice wielowartościowej z podstawą N, lub w arytmetyce resztowej modulo N. Wyróżniającą cechą sumatorów...
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Cobalt(II) tri-tert-butoxysilanethiolates with bidentate spacer ligands
PublikacjaOtrzymano szereg nowych tri-tert-butoksysilanotiolanów Co(II) z dwudonorowymi N,N'-ligandami takimi jak pirazyna, chinoksalina i 4,4'-bipy. W przypadku pirazyny i chinoksaliny otrzymane kompleksy są bimetaliczne, w których atomy metali połączone są odpowiednią aminą. Użyty do syntezy 4,4'-bipy pozwolił na otrzymanie dwóch odmian polimorficznych kompleksu {[Co{SSi(tBuO)3}2]2(μ-4,4'bipy)}, a także polimeru koordynacyjnego o wzorze...
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Algorithms for testing security in graphs
PublikacjaIn this paper we propose new algorithmic methods giving with the high probability the correct answer to the decision problem of security in graphs. For a given graph G and a subset S of a vertex set of G we have to decide whether S is secure, i.e. every subset X of S fulfils the condition: |N[X] \cap S| >= |N[X] \ S|, where N[X] is a closed neighbourhood of X in graph G. We constructed a polynomial time property pseudotester based...