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Search results for: R and D
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On trees with double domination number equal to total domination number plus one
PublicationA total dominating set of a graph G is a set D of vertices of G such that every vertex of G has a neighbor in D. A vertex of a graph is said to dominate itself and all of its neighbors. A double dominating set of a graph G is a set D of vertices of G such that every vertex of G is dominated by at least two vertices of D. The total (double, respectively) domination number of a graph G is the minimum cardinality of a total (double,...
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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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On trees with double domination number equal to 2-domination number plus one
PublicationA vertex of a graph is said to dominate itself and all of its neighbors. A subset D subseteq V(G) is a 2-dominating set of G if every vertex of V(G)D is dominated by at least two vertices of D, while it is a double dominating set of G if every vertex of G is dominated by at least two vertices of D. The 2-domination (double domination, respectively) number of a graph G is the minimum cardinality of a 2-dominating (double dominating,...
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Kinetics of pollutants removal in vertical and horizontal flow constructed wetlands in temperate climate
PublicationThis paper reports a comparative study on kinetics of organic matter expressed as BOD5 and nitrogen removal in constructed wetlands operated in Poland. Analyzed data were collected at eight wetland systems, composed of subsurface flow beds: horizontal flow (HF) and vertical flow (VF), in different number and sequences. The analysis involved particularly mass removal rates (MRR) and first-order removal rate coefficients of BOD5...
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On a Recurrence Arising in Graph Compression
PublicationIn a recently proposed graphical compression algorithm by Choi and Szpankowski (2012), the following tree arose in the course of the analysis. The root contains n balls that are consequently distributed between two subtrees according to a simple rule: In each step, all balls independently move down to the left subtree (say with probability p) or the right subtree (with probability 1p). A new node is created as long as...
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Static Shunt PE Voltage-Quality Controllers
PublicationThis chapter focuses on power electronics (PE)-based solutions used in distribution networks for reduction of supply-voltage-quality deterioration, from long interruptions to the harmonics. Various PE devices and their combinations are addressed for particular or a range of voltage disturbances. A particular solution is applied taking into account demands for voltage quality and network configuration. In general, there are three...
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The Quaternization Reaction of 5-O-Sulfonates of Methyl 2,3-o-Isopropylidene-β-D-Ribofuranoside with Selected Heterocyclic and Aliphatic Amines
PublicationThe synthesis of N-((methyl 5-deoxy-2,3-O-isopropylidene-β-D-ribofuranoside)-5-yl) ammonium salts are presented. To determine the effect of the nucleophile type and outgoing group on the quaternization reaction, selected aliphatic and heterocyclic aromatic amines reacted with: methyl 2,3-O-isopropylidene-5-O-tosyl-β-D-ribofuranoside or methyl 2,3-O-isopropylidene-5-O-mesyl-β-D -ribofuranoside or methyl 2,3-O-isopropylidene-5-O-triflyl-β-D-ribofuranoside...
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<title>Status of LLRF system development for European XFEL</title>
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Dilatometry results of SrTi0.50Fe0.50O3-d powder
Open Research DataThis dataset contains results of dilatometry measurements of SrTi0.50Fe0.50O3-d powder. The investigation of the linear thermal expansion was carried out using a Netzsch DIL402 dilatometer. The SrTi0.50Fe0.50O3-d powder was formed into cylinders and heat up to 1100 °C with a heating rate of 5 °C min−1, dwelled for 15 min, and then cooled at a rate of...
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Dilatometry results of SrTi0.65Fe0.35O3-d powder
Open Research DataThis dataset contains results of dilatometry measurements of SrTi0.65Fe0.35O3-d powder. The investigation of the linear thermal expansion was carried out using a Netzsch DIL402 dilatometer. The SrTi0.65Fe0.35O3-d powder was formed into cylinders and heat up to 1100 °C with a heating rate of 5 °C min−1, dwelled for 15 min, and then cooled at a rate of...
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Dilatometry results of SrTi0.30Fe0.70O3-d powder
Open Research DataThis dataset contains results of dilatometry measurements of SrTi0.30Fe0.70O3-d powder. The investigation of the linear thermal expansion was carried out using a Netzsch DIL402 dilatometer. The SrTi0.30Fe0.70O3-d powder was formed into cylinders and heat up to 1100 °C with a heating rate of 5 °C min−1, dwelled for 15 min, and then cooled at a rate of...
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Impact of aeration conditions on the removal of low concentrations of nitrogen in a tertiary partially aerated biological filter
PublicationA submerged biological aerated filter (BAF) partially aerated was used to study the removal of low concentrations of ammonia nitrogen (0.3 g N/m3 to 30.5 g N/m3) typically found in nutrient enriched river and lake waters, and treated effluents. Four series of experiments were performed with a synthetic wastewater at ammonia loading rates between 6 g N/m3 d and 903 g N/m3 d and C/N ratios from 2 to 20. The results showed that ammonia...
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2-outer-independent domination in graphs
PublicationWe initiate the study of 2-outer-independent domination in graphs. A 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 at least two neighbors in D, and the set V(G)\D is independent. The 2-outer-independent domination number of a graph G is the minimum cardinality of a 2-outer-independent dominating set of G. We show that if a graph has minimum degree at least two,...
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Bipartite theory of graphs: outer-independent domination
PublicationLet $G = (V,E)$ be a bipartite graph with partite sets $X$ and $Y$. Two vertices of $X$ are $X$-adjacent if they have a common neighbor in $Y$, and they are $X$-independent otherwise. A subset $D \subseteq X$ is an $X$-outer-independent dominating set of $G$ if every vertex of $X \setminus D$ has an $X$-neighbor in $D$, and all vertices of $X \setminus D$ are pairwise $X$-independent. The $X$-outer-independent domination number...
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Geosyntetyki w konstrukcji drogi kolejowej - modelowanie
PublicationGeosyntetyki, tzn. geowłókniny, geotkaniny, geosiatki, geomembrany, geowykładziny itp. są powszechnie stosowane w budownictwie, w tym przy budowie, modernizacji i remontach linii transportowych: przesyłowych (rurociągi), komunikacyjnych (drogi kolejowe, drogi kołowe itp.). Liniowe budowle transportowe mają charakter wielowarstwowy, przez co każda kolejna warstwa posiada inne warunki obciążenia. W wyniku działających na drogę kolejową...
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X-ray diffraction and high-resolution NMR spectroscopy of methyl 3azido-2,3-dideoxy-ŕD-lyxo-hexopyranoside
PublicationOpisano strukturę 3-azydo-2,3 dideoksy-ŕ-d-lykso-heksopiranozydu metylu na podstawie danych otrzymanych przy pomocy rentgenowskiej analizy strukturalnej oraz wysokorozdzielczej spektroskopii magnetycznego rezonansu jądrowego. Przedyskutowano również wpływ pierścieniowego atomu tlenu na wartości stałych sprężeń atomów wodoru przy atomach C6 i C1 pierścienia 2-deoksy-D-lyksooraz-D-ksylo-heksopiranozydów.
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Active Power Quality Controllers
PublicationDynamic Static Synchronous Compensator is the most important controller for distribution networks and probably in SEEN. It has been widely used since the 1990s to regulate system voltage precisely, improve voltage profile, reduce voltage harmonics, reduce transient voltage disturbances and load compensation. Rather than using conventional capacitors and inductors combined with fast switches, the D-STATCOM uses a power-electronics...
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New insights into modeling two-step nitrification in activated sludge systems – The effects of initial biomass concentrations, comammox and heterotrophic activities
PublicationIn this study, the conventional two-step nitrification model was extended with complete ammonia oxidation (comammox) and heterotrophic denitrification on soluble microbial products. The data for model calibration/validation were collected at four long-term washout experiments when the solid retention time (SRT) and hydraulic retention time (HRT) were progressively reduced from 4 d to 1 d, with mixed liquor suspended solids (MLSS)...
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40th EASD Annual Meeting of the European Association for the Study of Diabetes
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Modelluntersuchungen zur Windeinwirkung auf stahlerne Doppelmantelbehalter
PublicationPodano wyniki badań w tunelu aerodynamicznym modeli zbiorników stalowych o podwójnym płaszczu. Badano modele zbiorników z dachem stałym i dachem pływającym. Stosunek wysokości płaszcza ''h'' do średnicy modelu ''d'' wynosi h/d= 0,25 lub h/d= 0,45 a różnica odległości pomiędzy płaszczem zewnętrznym dz a płaszczem wewnętrznym dw wyniosła dz/dw= 1,063; 1,125 oraz 1,200
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Light-Induced Transformation of the Aromatic Heptaene Antifungal Antibiotic Candicidin D into Its All-Trans Isomer
PublicationIllumination of the aromatic heptaene macrolide antifungal antibiotic candicicin D with UV light results in an isomerization of the molecule. The product formed after irradiation of the candicidin complex with UV light (λ=365nm), namely, iso-candicidin D, was isolated and subjected to 2D NMR studies, consisting of DQF-COSY, ROESY, TOCSY, HSQC, and HMBC experiments. The obtained spectral data unambiguously evidenced that iso-candicidin...
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Synchronization helps robots to detect black holes in directed graphs
PublicationPraca zawiera nowe wyniki dla problemu poszukiwania czarnej dziury w grafie skierowanym przez zbiór agentów. Czarna dziura jest węzłem niszczącym wszystkich wchodzącej do niej agentów. Pokazano, że w przypadku, gdy stopień wejściowy czarnej dziury wynosi D, do przeszukania grafu skierowanego w modelu synchronicznym wystarcza O(D 2^D) agentów. Wartość ta jest bliska znanemu z literatury oszacowaniu dolnemu Omega (2^D). W pracy pokazano...
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Wytwarzanie biogazu z kiszonki Sucrosorgo 506
PublicationW pracy przeprowadzono badania eksperymentalne nad fermentacją metanową kiszonki sorgo cukrowego Sucrosorgo 506 (Sorghum saccharatum) metodą mokrą. Doświadczenie prowadzono w skali laboratoryjnym w reaktorze o objętości czynnej 6 dm3. Hydrauliczny czas zatrzymania wsadu surowcowego (HRT) oraz obciążenie ładunkiem organicznym (OLR) wynosiły odpowiednio 60 d i 1,31±0,10 kg s.m.o/m3·d. Temperatura fermentacji wynosiła 39C. W oparciu...
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Novel catalysts for low temperature synthesis of single wall carbon nanotubes
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N-alkyl derivatives of 2-amino-2-deoxy-D-glucose
PublicationMono- i di-N-alkilowe pochodne 1,3,4,6-tetra-O-acetylo-2-amino-2-deoksy-beta-D-glukozy (alkil = metyl, etyl, propyl, butyl, pentyl, heksyl, benzyl) otrzymano w wyniku redukcyjnej alkilacji per-O-acetylo-D-glukozaminy. (N-etylo, N-propylo, N-butylo, N-pentylo, N-heksylo)-1,3,4,6-tetra-O-acetylo-2-amino-2-deoksy-beta-D-glukozy deacetylowano w celu podjęcia prób enzymatycznej fosforylacji. Wszystkie produkty scharakteryzowano za pomocą...
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Application of the distributed transfer function method and the rigid finite element method for modelling of 2-D and 3-D systems
PublicationIn the paper application of the Distributed Transfer Function Method and the Rigid Finite Element Method for modelling of 2-D and 3-D systems is presented. In this method an elastic body is divided into 1-D distributed parameter elements (strips or prisms). The whole body (divided into strips or prism) is described by a set of coupled partial differential equations. Solving this equations in the state space form it is possible...
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Pi of the sky: search for optical flashes of extragalactic origin
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<title>"Pi of the sky": robotic search for cosmic flashes</title>
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A novel cold-active β-D-galactosidase with transglycosylation activity from the Antarctic Arthrobacter sp. 32cB - gene cloning, purification and characterization
PublicationA gene encoding a novel β-D-galactosidase from the psychrotolerant Antarctic bacterium Arthrobacter sp. 32cB was isolated, cloned and expressed in Escherichia coli. The active form of recombinant β-D-galactosidase consists of two subunits with a combined molecular weight of approximately 257 kDa. The enzyme's maximum activity towards o-nitrophenyl-β-D-galactopyranoside was determined as occurring at 28 °C and pH 8.0. However, it...
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Smooth orthogonal projections on sphere.
PublicationWe construct a decomposition of the identity operator on the sphere S^d as a sum of smooth orthogonal projections subordinate to an open cover of S^d. We give applications of our main result in the study of function spaces and Parseval frames on the sphere.
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Clearing directed subgraphs by mobile agents
PublicationWe study several problems of clearing subgraphs by mobile agents in digraphs. The agents can move only along directed walks of a digraph and, depending on the variant, their initial positions may be pre-specified. In general, for a given subset S of vertices of a digraph D and a positive integer k, the objective is to determine whether there is a subgraph H=(V,A) of D such that (a) S is a subset of V, (b) H is the union of k directed...
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Polynomial Algorithm for Minimal (1,2)-Dominating Set in Networks
PublicationDominating sets find application in a variety of networks. A subset of nodes D is a (1,2)-dominating set in a graph G=(V,E) if every node not in D is adjacent to a node in D and is also at most a distance of 2 to another node from D. In networks, (1,2)-dominating sets have a higher fault tolerance and provide a higher reliability of services in case of failure. However, finding such the smallest set is NP-hard. In this paper, we...
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Volumetric and acoustic properties of D-mannitol in aqueous sodium or magnesium(II) chloride solutions over temperature range of 293.15 to 313.15 K
PublicationWykorzystując zmierzone wartości gęstości oraz prędkości rozchodzenia się dźwięku wyznaczono pozorne objętości molowe i pozorne ściśliwości molowe D- mannitolu w (1, 5 i 10) % wodnych roztworach chlorku sodu oraz chlorku magnezu(II). Obliczono graniczne wartości pozornych wielkości molowych, odpowiednie funkcje przeniesienia oraz współczynniki rozszerzalności. Otrzymane wielkości powiązano z oddziaływaniami D-mannitol -sól (NaCl...
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Graphs with isolation number equal to one third of the order
PublicationA set D of vertices of a graph G is isolating if the set of vertices not in D and with no neighbor in D is independent. The isolation number of G, denoted by \iota(G) , is the minimum cardinality of an isolating set of G. It is known that \iota(G) \leq n/3 , if G is a connected graph of order n, , distinct from C_5 . The main result of this work is the characterisation of unicyclic and block graphs of order n with isolating number...
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Global 30-day outcomes after bariatric surgery during the COVID-19 pandemic (GENEVA): an international cohort study
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AVHRR Level1CD covering Baltic Sea area year 2001
Open Research DataThe dataset contains data derived from recordings of the AVHRR/3 radiometer operating on board the NOAA POES (Polar Orbiting Environmental Satellites) Series - 5th Generation Satellites covering the Baltic Sea area. The satellite data was recorded in the years 2000-2012 directly by the HRPT station installed at the University of Gdańsk. The registration...
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The Efficacious Benefit of 25-Hydroxy Vitamin D to Prevent COVID-19: An In-Silico Study Targeting SARS-CoV-2 Spike Protein
PublicationThe environment has rapidly looked at proven specialist task forces in the aftermath of the COVID-19 pandemic to build public health policies and measures to mitigate the effects of emerging coronaviruses. According to the researchers, taking 10 μg of 25-hydroxy vitamin D daily is recommended to keep us safe. There have been several studies recently indicating that there is a reduced risk of contracting Coronavirus by 25-hydroxy...
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Prevalence of diabetes in Poland: a combined analysis of national databases
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GRA1 protein vaccine confers better immune response compared to codon-optimized GRA1 DNA vaccine
PublicationW publikacji oszacowano immunogenność i właściwości protekcyjne szczepionki anty-Toxoplasma gondii opartej na białku rekombinantowym GRA1 oraz dwóch rodzajach szczepionek DNA (plazmidu zawierającego gen kodujący białko GRA1 dzikiego typu oraz modyfikowanego genu kodującego białko GRA1). Uzyskane wyniki sugerują lepsze właściowści immunoprotekcyjne rekombinantowego białka antygenowego niż szczepionek DNA.
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Synthesis of some quaternary N-(1,4-anhydro-5-deoxy-D,L-ribitol-5-yl)ammonium salts
PublicationOpisano matodę pomyślnego usuwania izopropylidenowych grup ochronnych z 1,4-anhydro-2,3-O-izopropylideno-5-O-tozylo-D,L-rybitolu i czwartorzędowych soli N-(1,4-anhydro-5-deoksy-D,L-rybitolo-5-yl)amoniowych. Struktury otrzymanych związków zostały określone przy pomocy analizy spektralnej, w tym 2D NMR. Otrzymano także dane dyfrakcyjne dla monokryształów 1,4-anhydro-5-O-tozylo-D,L-rybitolu i jego pochodnych 2,3-O-izopropylidenowych.
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Synthesis of 2-amino-2,6-dideoxy-D-glucitol-6-sulfonic acid as a potential antifungal agent.
PublicationGlucosamine-6P (GlcN-6P) synthase catalyzes the first committed step in the biosynthetic pathway leading to the formation of UDP-GlcNAc, a sugar nucleotide precursor providing D-glucosamine for the formation of chitin and manoproteins. 2-Amino-2,6-dideoxy-D-glucitol-6-sulfonic acid is an analog of 2-amino-2-deoxy-D-glucitol 6-phosphate (GlcN-ol-6-P), a known inhibitor of GlcN-6-P synthase, in which the phosphate group of the latter...
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A lower bound on the total outer-independent domination number of a tree
PublicationA total outer-independent dominating set of a graph G is a set D of vertices of G such that every vertex of G has a neighbor in D, and the set V(G)D is independent. The total outer-independent domination number of a graph G, denoted by gamma_t^{oi}(G), is the minimum cardinality of a total outer-independent dominating set of G. We prove that for every nontrivial tree T of order n with l leaves we have gamma_t^{oi}(T) >= (2n-2l+2)/3,...
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Low-energy electron scattering from molecular hydrogen: Excitation of the X1Σg+ to b3Σu+ transition
PublicationWe present time-of-flight differential cross-section measurements and convergent close-coupling calculations of differential cross sections for the electron-impact excitation of the X 1 g + → b 3 u + transition in molecular hydrogen. A part of this work was recently published [M. Zawadzki et al., Phys. Rev. A 97, 050702(R) (2018)]. In this work, agreement between theory and experiment is excellent overall, and marks a transition...
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A New Boson with a Mass of 125 GeV Observed with the CMS Experiment at the Large Hadron Collider
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Bounds on the vertex-edge domination number of a tree
PublicationA 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 $(n-l-s+3)/4...
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An Alternative Proof of a Lower Bound on the 2-Domination Number of a Tree
PublicationA 2-dominating set of a graph G is a set D of vertices of G such that every vertex not in D has a at least two neighbors in D. The 2-domination number of a graph G, denoted by gamma_2(G), is the minimum cardinality of a 2-dominating set of G. Fink and Jacobson [n-domination in graphs, Graph theory with applications to algorithms and computer science, Wiley, New York, 1985, 283-300] established the following lower bound on the 2-domination...
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The Snow Team Problem
PublicationWe study several problems of clearing subgraphs by mobile agents in digraphs. The agents can move only along directed walks of a digraph and, depending on the variant, their initial positions may be pre-specified. In general, for a given subset~$\cS$ of vertices of a digraph $D$ and a positive integer $k$, the objective is to determine whether there is a subgraph $H=(\cV_H,\cA_H)$ of $D$ such that (a) $\cS \subseteq \cV_H$, (b)...
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Experimental database of 3D lattice structure scaffolds testing
Open Research DataDataset contains results of validation (experimental testing) of 3D lattice scaffolds proposed in the paper "Mathematical approach to design 3D scaffolds for the 3D printable bone implant". There are presented three series of experimental testing for each of seven tested scaffolds:
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Structure and properties of the exopolysaccharides produced by Pseudomonas mutabilis T6 and P. mutabilis ATCC 31014
PublicationThis paper presents a study on the purification, primary structure, and rheological properties of exopolysaccharides isolated from cultures of Pseudomonas mutabilis T6 and P. mutabilis ATCC 31014. Both polymers are exopolysaccharides of D-mannose. The mannan isolated from P. mutabilis T6 contains on average about 5% of residual b-D-glucose, in contrast to the mannan from P. mutabilis ATCC 31014, which contained only trace amounts...
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Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
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