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Closed-form expression for the magnetic shielding constant of the relativistic hydrogenlike atom in an arbitrary discrete energy eigenstate: Application of the Sturmian expansion of the generalized Dirac–Coulomb Green function
PublikacjaWe present analytical derivation of the closed-form expression for the dipole magnetic shielding constant of a Dirac one-electron atom being in an arbitrary discrete energy eigenstate. The external magnetic field, by which the atomic state is perturbed, is assumed to be weak, uniform, and time independent. With respect to the atomic nucleus we assume that it is pointlike, spinless, motionless, and of charge Ze. Calculations are...
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Computations of the least number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds
PublikacjaLet $r$ be an odd natural number, $M$ a compact simply-connected smooth manifold, $\dim M\geq 4$, such that its boundary $\partial M$ is also simply-connected. We consider $f$, a $C^1$ self-maps of $M$, preserving $\partial M$. In [G. Graff and J. Jezierski, Geom. Dedicata 187 (2017), 241-258] the smooth Nielsen type periodic number $D_r(f;M,\partial M)$ was defined and proved to be equal to the minimal number of $r$-periodic points...
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The new tool of inverse analysis applied in geotechnics.
PublikacjaW pracy przedstawiono przykład prostego zastosowania analizy wstecznej do tzw. Współoddziaływującego Układu Projektowania (Systeme Interactif de Conception -SIC). Zastosowanie analizy wstecznej w tym układzie oparte jest na procedurze zaproponowanej przez Gens´a i innych. W omawianej pracy ograniczono się do określenia liniowej odkształcalności wartości modułowej ośrodka ciągłego. Wykorzystano algorytm minimalizujący funkcje...
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Superconductivity and ferromagnetism in Pd doped Y9Co7
PublikacjaThe ferromagnetic superconductor Y9Co7 was chemically doped to yield the solid solution Y9Co7-xPdx for 0 < x < 0.4. The lattice parameter a does not depend on x, whereas c increases with increasing Pd content up to x ¼ 0.2, the palladium solubility limit. The transition from ferromagnetism (TC ¼ 4.25 K) to superconductivity (Tsc ¼ 2.4 K) was observed only for the parent Y9Co7 compound. For the lowest tested Pd doping level (x ¼...
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Electron-impact ionization cross section of formic acid
PublikacjaExperimental electron-impact ionization cross sections of one of the simplest carboxylic acids, formic acid, are presented. The molecular target was studied in two independent experimental setups applying different methods: the total ion collection and the electron–impact mass spectrometry methods. Experimental data were taken at incident electron energies ranging from ionization threshold [11.31 eV; J.C. Traeger, Int. J. Mass...
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On the convergence of a nonlinear finite-difference discretization of the generalized Burgers–Fisher equation
PublikacjaIn this note, we establish analytically the convergence of a nonlinear finite-difference discretization of the generalized Burgers-Fisher equation. The existence and uniqueness of positive, bounded and monotone solutions for this scheme was recently established in [J. Diff. Eq. Appl. 19, 1907{1920 (2014)]. In the present work, we prove additionally that the method is convergent of order one in time, and of order two in space. Some...
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Określenie zawartości lotnych kwasów tłuszczowych (LKT) w odciekach pochodzących z mikrobiologicznej degradacji monosacharydów
PublikacjaOkreślenie zawartości lotnych kwasów tłuszczowych (LKT) w odciekach pochodzących z mikrobiologicznej degradacji monosacharydów. Milena Jabłońska, Maria Rybarczyk, Marta Wisielewska, Marek Lieder Politechnika Gdańska, Wydział Chemiczny, Katedra Technologii Chemicznej Zawartość lotnych kwasów tłuszczowych (LKT) w metabolitach pochodzących z mikrobiologicznego ogniwa paliwowego (MFC – Microbial Fuel Cell) świadczy o rozkładzie...
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Metallurgical characterization and high-temperature tensile failure of Inconel 617 alloy welded by GTAW and SMAW—a comparative study
PublikacjaTwo types of the weld joint of Inconel 617 alloy were produced using gas tungsten arc welding (GTAW) and shielded metal arc welding (SMAW) processes with ERNiCrCoMo-1 filler metal and ENiCrCoMo-1 electrode, respectively. The weld metal showed the segregation of the principle alloying elements like Mo and Cr along the inter-dendritic spaces, triggering the formation of secondary phases. The microstructure characterization of the...
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Assestment of the anti-cancer activity of the copper complexes with imidazole and pivalato ligands
PublikacjaDespite the development of science and technology progress so far there have not been found effective drugs for cancer. Many coordination compounds were investigated due to their antitumor potential. The most known cis-diamminedichloroplatinum(II) is used as anti-cancer therapeutic agent. The copper complexes are the coordination compounds possessing anti-tumour properties. Their capability to kill cancer cells is mainly linked...
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Koncepcja kontraktowa w ramach teorii sprawiedliwości wedle Johna Rawlsa
PublikacjaW eseju usiłowałem rozświetlić zręby J. Rawlsa koncepcji (teorii) kontraktowej. Podjąłem analizę związku koncepcji kontraktu z tzw. sytuacją pierwotną określaną jako taki stan rzeczy, gdzie osoby-strony są na równi reprezentowane jako moralne osoby, a rezultat nie jest bynajmniej determinowany ani ich arbitralnymi przymiotami, ani relatywnym bilansem sił społecznych. Następnie uwypukliłem związek pojęcia "sytuacji pierwotnej"...
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Comparison of nitrogen and VFA removal pathways in autotrophic and organotrophic anammox reactors
PublikacjaOrganotrophic anammox is a promising process for treating both nitrogen and organic containing wastewater than that of the traditional autotrophic anammox for sole nitrogen removal. However pathways of nitrogen removal particularly at metagenomic level in both processes are still unknown. Here we report, metabolic pathways of nitrogen removal in two lab-scale sequencing batch reactors (SBR), one autotrophic and another organotrophic...
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Towards a classification of networks with asymmetric inputs
PublikacjaCoupled cell systems associated with a coupled cell network are determined by (smooth) vector fields that are consistent with the network structure. Here, we follow the formalisms of Stewart et al (2003 SIAM J. Appl. Dyn. Syst. 2, 609–646), Golubitsky et al (2005 SIAM J. Appl. Dyn. Syst. 4, 78–100) and Field (2004 Dyn. Syst. 19, 217–243). It is known that two non-isomorphic n-cell coupled networks can determine the same sets of...
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Noncentrosymmetric superconductor with a bulk three-dimensional Dirac cone gapped by strong spin-orbit coupling
PublikacjaThe layered, noncentrosymmetric heavy element PbTaSe2 is found to be superconducting. We report its electronic properties accompanied by electronic-structure calculations. Specific heat, electrical resistivity, and magnetic-susceptibility measurements indicate that PbTaSe2 is a moderately coupled, type-IIBCSsuperconductor (Tc = 3.72 K, Ginzburg–Landau parameter κ = 17) with an electron-phonon coupling constant of λep = 0.74. Electronic-structure...
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A study of concentration depolarization and quenching of photoluminescence of solutions
PublikacjaThe concentration-dependence of emission anisotropy r/r0 and quantum yield eta/eta0 of the photoluminescence of glycerol-water solutions of rhodamine B in two systems of viscosities 7.4 P and 0.72 P is investigated. The experimental data are compared with the new theory of concentraticn depolarization (J. Lumin., 5, 413 (1972)) and concentration quenching of photoluminescence (Acta Phys. Hungar., 30, 145 (1972)), which takes...
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Extended non-linear relations of elastic shells undergoing phase transitions
PublikacjaThe non-linear theory of elastic shells undergoing phase transitions was proposed by two first authors in J. Elast. 79, 67-86 (2004). In the present paper the theory is extended by taking into account also the elastic strain energy density of the curvilinear phase interface as well as the resultant forces and couples acting along the interface surface curve itself. All shell relations are found from the variational principle of...
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Magnetizability of the relativistic hydrogenlike atom in an arbitrary discrete energy eigenstate: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
PublikacjaThe Sturmian expansion of the generalized Dirac--Coulomb Green function [R.\/~Szmytkowski, J.\ Phys.\ B 30 (1997) 825; erratum 30 (1997) 2747] is exploited to derive a closed-form expression for the magnetizability of an arbitrary discrete state of the relativistic one-electron atom with a point-like, spinless and motionless nucleus of charge $Ze$. The result has the form of a double finite sum involving the generalized hypergeometric...
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Próba ukonstytuowania etyki biznesu w polu działalności gospodarczej
PublikacjaW artykule dokonałem najpierw zwięzłej charakterystyki m.in. pojęć takich, jak: "biznes, "etyka biznesu", "przedsiębiorczość" oraz przytoczyłem propozycje podziału etyki biznesu na obszary. Potem zaś zinterpretowałem pojęcie "przedsiębiorstwa" wedle E. Sternberg. Z kolei dokonałem zwięzłej analizy czterech typów standardów zachowania się pracowników firmy w stosunku do tzw. stron zainteresowanych przez uwzględnienie...
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Low-energy positron collisions with water: elastic and rotationally inelastic scattering
PublikacjaDifferential, integral and momentum transfer cross sections for the vibrationally elastic and rotationally inelastic scattering of positrons from water at low collision energy (E ≤ 10 eV) are reported. Several models within the R-matrix method are used to compute the body-fixed T-matrices, while the scattering calculations are performed within the fixed-nuclei approximation corrected with the standard Born-closure formula. These...
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Low energy inelastic electron scattering from carbon monoxide: I. excitation of the a3Π, a’3Σ+ and AΠ1 electronic states.
PublikacjaDifferential scattering cross sections for electron excitation of the three lowest excited electron states of carbon monoxide are obtained experimentally using low-energy electron energy-loss spectroscopy and theoretically using the R-matrix method. The incident electron energies range from near-threshold of 6.3 eV to 20 eV. Experimental scattering angles range from 20◦ to 120◦. The normalization of the experimental cross sections...
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Performance of acicular grindable thermocouples for temperature measurements at sliding contacts
PublikacjaThe present study investigates the performance of acicular grindable thermocouples based on a constantan wire / steel hollow cylinder construction. The experiments showed that the measuring junction electrical resistance, temperature–voltage characteristic, measuring junction rise time and signal noise standard deviation of the acicular thermocouples are comparable to those of conventional J-type thermocouples with bare wire diameter...
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Wpływ absorpcji wody na obrazy zniszczeń udarowych w wybranych warstwowych kompozytach polimerowych
PublikacjaPrzedstawiono obrazy zniszczeń udarowych (zewnętrznych i wewnętrznych) w płytkach kompozytu epoksydowego o zbrojeniu hybrydowym aramidowo-szklanym w stanie suchym i po nasyceniu wodą. Przy małej energii udaru (ok. 5 J/mm) zniszczenia sprowadzają się do lekkich uszkodzeń powierzchni w miejscu uderzenia bijaka oraz delaminacji i pęknięć na granicy włókien i osnowy spowodowanych oddzielaniem składników kompozytu na skutek absorpcji...
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Fully Separated Flow Control Using DBD Plasma Actuators Located at the Leading Edge of an Airfoil
PublikacjaIn the framework of the PLASMAERO European project, experiments were conducted to investigate the authority of surface DBD plasma actuators to alter a fully separated flow around an airfoil in order to improve its aerodynamic performances in its natural stall regime. In this paper, unsteady excitation control is more specifically investigated. The key control parameter studied here is the burst frequency which periodically imposes...
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Study on Microstructure and Mechanical Properties of Laser Welded Dissimilar Joint of P91 Steel and INCOLOY 800HT Nickel Alloy
PublikacjaThis investigation attempts to explore the weld characteristics of a laser welded dissimilar joint of ferritic/martensitic 9Cr-1Mo-V-Nb (P91) steel and Incoloy 800HT austenitic nickel alloy. This dissimilar joint is essential in power generating nuclear and thermal plants operating at 600–650 °C. In such critical operating conditions, it is essential for a dissimilar joint to preserve its characteristics and be free from any kind...
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Static electric multipole susceptibilities of the relativistic hydrogenlike atom in the ground state: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
PublikacjaThe ground state of the Dirac one-electron atom, placed in a weak, static electric field of definite $2^{L}$ polarity, is studied within the framework of the first-order perturbation theory. The Sturmian expansion of the generalized Dirac-Coulomb Green function [R. Szmytkowski, J. Phys. B: At. Mol. Opt. Phys. 30, 825 (1997); erratum R. Szmytkowski, J. Phys. B: At. Mol. Opt. Phys. 30, 2747 (1997)] is used to derive closed-form analytical...
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Experimental verification of natural convective heat transfer phenomenon from isothermal cuboids
PublikacjaArtykuł przedstawia wyniki badań eksperymentalnych konwekcyjnej wymiany ciepła od powierzchni izotermicznego prostopadłościanu o stosunkowo dużych rozmiarach (t.j. 1.5 m x1 m x 0.5 m). Celem tych badań było otrzymanie wyników, które można by porównać z otrzymanymi dla obiektu w mniejszej skali i prezentowano we wcześniejszych doniesieniach (Int. J. Heat Mass Transfer 46 (2003) 2169-2178). Rozwiązanie eksperymentalne przeprowadzono...
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Positron scattering on molecular hydrogen: Analysis of experimental and theoretical uncertainties
PublikacjaExperiments performed in recent years on positron scattering from molecular hydrogen indicated a rise of the total cross section in the limit of zero energy, but essentially disagree on the amplitude of this rise. Mitroy and collaborators [J.-Y. Zhang et al., Phys. Rev. Lett. 103, 223202 (2009)] predicted a scattering length somewhat different from values deduced experimentally. Using a Markov chain Monte Carlo modified effective...
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The use of a one-step PCR method for the identification of Microsporum canis and Trichophyton mentagrophytes infection of pets
PublikacjaIntroduction: Dermatophytes are a closely related group of keratinophilic fungi. They encompass important etiological agents of superficial fungal infections. These fungi are able to invade keratinized tissues of humans and animals, causing dermatophytosis (ringworm) of hair, nails or skin. The aim: Traditional diagnostics of ringworm is based on morphological identification of cultured fungi and is time-consuming. Materials and methods:...
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The influence of plastic deformation on the magnetoelastic properties of the CSN12021 grade steel
PublikacjaWłasności magnetosprężyste materiałów są silnie modyfikowane przez zmiany struktury dyslokacyjnej, które są wynikiem procesów deformacji plastycznej. Zmiany te mogą być wykorzystane jako podstawa do opracowania metody nieniszczącej oceny stopnia deformacji materiału.Jak dotychczas zaproponowane zostały różne metody, oparte na pomiarach pętli histerezy magnetycznej czy też natężenia magnetycznego efektu Barkhausena. Artykuł porównuje...
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The effect of UV-C irradiation on lipids and selected biologically active compounds in human milk
PublikacjaThe effect of UV-C irradiation of human milk on lipid oxidation, content of antioxidants (vitamin C and catalase, CAT) and bactericidal compounds (lysozyme), as well as the total antioxidant capacity (TAC), of the breast milk was investigated. In parallel, the extent of inactivation of some bacteria was also determined. UV-C at doses from 85 to 740 J L−1 caused total inactivation of Escherichia coli and Staphylococcus aureus, but...
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Nieliniowy model matematyczny transformatora trójfazowego = Non-linear mathematical model of a three-phase transformer
PublikacjaPrzedstawiono model transformatora trójfazowego o rdzeniu trójkolumnowym, który zawiera układ rów-nań opisujących obwód magnetyczny oraz oddzielnie układ równań obwodu elektrycznego. Wydzielenie re-luktancji elementów rdzenia umożliwia uwzględnienie zmian względnej przenikalności magnetycznej w funkcji bieżącej wartości strumienia w rdzeniu. Re-luktancje odpowiadające strumieniom rozproszenia obliczono wg zasad klasycznych. Funkcję...
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Influence of electrode geometric arrangement on the operation of narrow circular electrostatic precipitator
PublikacjaIn this work the influence of electrode geometric arrangement on the operation of a circular electrostatic precipitator (ESP) was investigated using Particle Image Velocimetry (PIV) method. The ESP was a glass circular cylinder (29 mm in diameter, 300 mm long) equipped with a wire discharge electrode and circular-cylinder collecting electrode. The stainless-steel discharge wire electrode (0.23 mm in diameter, 100 mm long) was mounted...
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Efficiency of European public higher education institutions: a two-stage multicountry approach
PublikacjaThe purpose of this study is to examine efficiency and its determinants in a set of higher education institutions (HEIs) from several European countries by means of non-parametric frontier techniques. Our analysis is based on a sample of 259 public HEIs from 7 European countries across the time period of 2001-2005. We conduct a two-stage DEA analysis (Simar and Wilson in J Economet 136:31-64, 2007), first evaluating DEA scores...
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Analysis of an Attenuator Artifact in an Experimental Attack by Gunn–Allison–Abbott Against the Kirchhoff-Law–Johnson-Noise (KLJN) Secure Key Exchange System
PublikacjaA recent paper by Gunn–Allison–Abbott (GAA) [L. J. Gunn et al., Scientific Reports 4 (2014) 6461] argued that the Kirchhoff-law–Johnson-noise (KLJN) secure key exchange system could experience a severe information leak. Here we refute their results and demonstrate that GAA’s arguments ensue from a serious design flaw in their system. Specifically, an attenuator broke the single Kirchhoff-loop into two coupled loops, which is an...
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Ultrafast Intramolecular Relaxation and Wave-Packet Motion in a Ruthenium-Based Supramolecular Photocatalyst
PublikacjaThe hydrogen-evolving photocatalyst [(tbbpy)2 Ru(tpphz)Pd(Cl)2 ](2+) (tbbpy=4,4'-di-tert-butyl-2,2'-bipyridine, tpphz=tetrapyrido[3,2-a:2',3'-c:3'',2''-h:2''',3'''-j]phenazine) shows excitation-wavelength-dependent catalytic activity, which has been correlated to the localization of the initial excitation within the coordination sphere. In this contribution the excitation-wavelength dependence of the early excited-state relaxation...
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Electron collisions with cyanoacetylene HC3N : Vibrational excitation and dissociative electron attachment
PublikacjaWe experimentally probe electron collisions with HC3N in the energy range from 0 to 10 eV with the focus on vibrational excitation and dissociative electron attachment. The vibrational excitation cross sections show a number of resonances which are mode specific: the two dominant π∗ resonances are visible in the excitation of all the vibrational modes; however, broad σ ∗ resonances are visible only in certain bond-stretching vibrational...
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Marek J. Siemek and His Interpretation of the Idea of Transcendentalism
PublikacjaThe paper discusses in a concise manner and critical intent Marek J. Siemek’s conception of transcendental philosophy. Firstly, theory of knowledge does not belong to the epistemic level of reflection (Siemek’s stance) but it is precisely the other way around; namely, it is due to transcendental philosophy (critique of cognitive faculties) that it was possible to distinguish metaphysical, ontological and epistemological questions....
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Low energy inelastic electron scattering from carbon monoxide: II. Excitation of the b3Σ+, j3Σ+, B1Σ+, C1Σ+ and E1Π Rydberg electronic states
PublikacjaIn this second part of a two part paper (first part: Zawadzki et al (2020 J. Phys. B: At. Mol. Opt. Phys. 53 165201)) we present differential scattering cross sections for excitation of several Rydberg electronic states of carbon monoxide by electron impact. The first part concerned the low-lying valence states of CO. In the present study cross sections are obtained experimentally using low-energy electron energy-loss spectroscopy...
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Electronic structure and rovibrational predissociation of the 2^1Π state in KLi
PublikacjaAdiabatic potential energy curves of the 3^1Σ^+, 3^3Σ^+, 2^1Π and 2^3Π states correlating for large internuclear distance with the K(4s) + Li(2p) atomic asymptote were calculated. Very good agreement between the calculated and the experimental curve of the 2^1Π state allowed for a reliable description of the dissociation process through a small (∼20 cm−1 for J = 0) potential energy barrier. The barrier supports several rovibrational...
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Numerically robust synthesis of discrete-time H-inf estimators based on dual J-lossless factorisations.
PublikacjaW pracy przedstawiono numerycznie stabilną metodę syntezy liniowych estymatorów stanu optymalnych ze względu na wymagania formułowane w oparciu o normę H-inf. Wykorzystano dualną J-bezstratną faktoryzację macierzy rozproszenia estymowanego procesu czasu dyskretnego. Badano numeryczne uwarunkowanie odpowiednich równań Riccatiego. W szczególności pokazano, że dla dostatecznie małych wartości okresu próbkowania zadanie syntezy dotyczące...
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Multiaxial Fatigue Behaviour of SLM 18Ni300 Steel
PublikacjaFatigue behaviour of SLM 18Ni300 steel under proportional bending-torsion loading is studied. The fatigue tests are conducted under pulsating loading conditions using tubular specimens with a transversal circular hole. Three ratios of the normal stress to shear stress are considered, namely σ/τ=4,σ/τ=2 and σ/τ = 4/3. Crack initiation sites were found for two diametrically opposite points around the hole, whose locations are governed...
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On the use of the cumulative strain energy density for fatigue life assessment in advanced high-strength steels
PublikacjaIn this paper, the applicability of the cumulative strain energy density is explored as a fatigue indicator parameter for advanced high-strength steels subjected to strain-controlled conditions. Firstly, the cyclic stress-strain responses of nine steels, selected from three multiphase families, encompassing different elemental compositions and different heat treatment routes, were studied. Then, the predictive capabilities of the...
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Particle shape dependence in 2D granular media
PublikacjaParticle shape is a key to the space-filling and strength properties of granular matter. We consider a shape parameter eta describing the degree of distortion from a perfectly spherical shape. Encompassing most specific shape characteristics such as elongation, angularity and non-convexity, eta is a low-order but generic parameter that we used in a numerical benchmark test for a systematic investigation of shape dependence in sheared...
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Studies on applicability of new solid-phase microextraction fibers for the selective extraction and determination of short - chain monocarboksylic acids
PublikacjaShort-chain monocarobxylic acids, sometimes referred to as volatile fatty acids (VFA), are a group of low molecular weight alkyl monocarboxylic acids that are widely distributed within the environment. These molecules contain any from 2 to 8 carbon atoms and originate from the anaerobic biodegradation of organic matter such as carbohydrates, proteins, and fats. These compounds are commonly found in the effluents from animal farming,...
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A J-lossless coprime factorisation approach to H control in delta domain
PublikacjaPraca dotyczy sterowania wielowymiarowym obiektem dynamicznym czasu ciągłego opisanym dyskretnoczasowym modelem w przestrzeni stanu, przy założeniu, że wskaźnik jakości sterowania oparty jest na normie H-inf. Odpowiednie zadanie optymalizacji tego wskaźnika rozwiązuje się, stosując tak zwaną względnie pierwszą J-bezstratną faktoryzację modelu sterowanego. Pokazano, że synteza optymalnego sterownika, wymagająca rozwiązania dwóch...
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Comment on "Measurements without probabilities in the final state proposal"
PublikacjaThe final state proposal [G.T. Horowitz and J.M. Maldacena, J. High Energy Phys.2004(2),8 (2004)] is an attempt to relax the apparent tension betweenstring theory and semiclassicalarguments regarding the unitarity of black hole evaporation. The authors of [R. Bousso and D.Stanford, Phys. Rev. D89, 044038 (2014)] analyze thought experiments where an infalling observerfirst verifies the entanglement between early and late Hawking...
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E-learning course "International comparative studies on SMEs"
PublikacjaProjekt Leonardo da Vinci "International comparative studies and course development on SMEs" został zainspirowany poprzednim projektem LdV "A European Diploma in SME Management". Bazując na poprzednich doświadczeniach projektowych zaproponowano opracowanie struktur dla opisania narodowych systemów małych i średnich przedsiębiorstw (ang. SME Small Media Enterprises) przy wykorzystaniu dostępnych krajowych danych. Udowodniono, że...
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Investigation of long-range dependencies in the stochastic part of daily GPS solutions
PublikacjaThe long-range dependence (LRD) of the stochastic part of GPS-derived topocentric coordinates change (North, East, Up) results with relatively high autocorrelation values with a focus on self-similarity. One of the reasons for such self-similarity in the GPS time series are noises that are commonly recognised to prevail in the form of the flicker noise model. To prove the self-similarity of the stochastic part of GPS time series...
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RuAl6—An Endohedral Aluminide Superconductor
PublikacjaSuperconductivity is reported in an endohedral aluminide compound, RuAl6, with Tc = 1.21 K. The normalized heat capacity jump at Tc, ΔC/γTc = 1.58, confirms bulk superconductivity. The Ginzburg–Landau parameter of κ = 9.5 shows that RuAl6 is a type-II superconductor. Electronic structure calculations for RuAl6 are explored in comparison to its structural analogue ReAl6 (Tc = 0.74 K). The stability of the phases is discussed in...
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Bound on Bell inequalities by fraction of determinism and reverse triangle inequality
PublikacjaIt 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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About the Noether’s theorem for fractional Lagrangian systems and a generalization of the classical Jost method of proof
PublikacjaRecently, the fractional Noether's theorem derived by G. Frederico and D.F.M. Torres in [10] was proved to be wrong by R.A.C. Ferreira and A.B. Malinowska in (see [7]) using a counterexample and doubts are stated about the validity of other Noether's type Theorem, in particular ([9],Theorem 32). However, the counterexample does not explain why and where the proof given in [10] does not work. In this paper, we make a detailed analysis...