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Search results for: equilibrium
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Equilibrium price - modelling, forecast and application
PublicationNowoczesną gospodarkę charakteryzuje wzrastające znaczenie cen. Znajomość ogólnych zasad mechanizmu kształtującego ceny oraz analizy cen umożliwiają przedsiębiorstwom przewidzenie ceny równowagi i podjęcie przynoszącej zyski decyzji, zwłaszcza na rynku oligopolu homogenicznego, gdzie przedsiębiorcy muszą brać pod uwagę reakcję konkurencji. Przedstawiony w artykule, dynamiczny model ekonometryczny cen benzyny, na rynku paliw płynnych...
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Convergence to equilibrium under a random Hamiltonian
PublicationWe analyze equilibration times of subsystems of a larger system under a random total Hamiltonian, in which the basis of the Hamiltonian is drawn from the Haar measure. We obtain that the time of equilibration is of the order of the inverse of the arithmetic average of the Bohr frequencies. To compute the average over a random basis, we compute the inverse of a matrix of overlaps of operators which permute four systems. We first...
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Fluorescence of p-hydroxyazobenzocrowns – Tautomeric equilibrium effect
PublicationThe spectroscopic properties of a series of para-hydroxyazobenzocrowns, including three novel compounds, were investigated using UV–Vis absorption and emission spectroscopy. This study presents, for the first time, determined quantum yield (QY) values for macrocycles of this category, ranging between 0.122 and 0.195. The highest values were obtained for crowns bearing two phenyl substituents in benzene rings. The impact of aromatic...
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Bishop parameter chi from static equilibrium.
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Exact resultant equilibrium conditions for intersecting shells
PublicationWyprowadzono ścisłe, globalne i lokalne warunki równowagi dla dwóch przecinających się powłok. Wspólna powierzchnia podstawowa powłoki składa się z czterech regularnych powierzchni materialnych, sztywno połączonych wzdłuż powierzchniowej krzywej osobliwej modelującej połączenie. Localne warunki równowagi otrzymano poprzez ścisłe całkowanie po grubości powłoki globalnych warunków równowagi mechaniki ośrodka ciągłego.
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On phase equilibrium of an elastic liquid shell with wedge disclination
PublicationBased on the six-parameter shell theory we consider the phase equilibrium of a two-phase liquid membrane containing a wedge disclination. The considered problems are related to modelling of phase transitions in biological or lipid membranes. In order to capture the membrane behaviour we consider a special case of elastic shells which energy is invariant under major transformations of a reference configuration and can be treated...
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The iterative method in search for the state of equilibrium in anchor lines.
PublicationPrzedstawiono iteracyjną metodę rozwiązywania równań równowagi lin kotwicznych. Metoda jest szczególnie łatwa do zaprogramowania obliczeń numerycznych, ponieważ w każdym kroku iteracyjnym wymaga jedynie obliczania całek oznaczonych znanych funkcji. Wynikiem obliczeń są wartości sił podłużnych w linie i jej kształt, który na skutek oddziaływania prądu oceanicznego na linę może być krzywą przestrzenną. Przytoczone przykłady...
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Lower Temperature Dehydrogenation of Methylcyclohexane by Membrane-assisted Equilibrium Shift
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On the exact equilibrium conditions of irregular shells reinforced by beams along the junctions
PublicationThe exact, resultant equilibrium conditions for irregular shells reinforced by beams along the junctions are formulated. The equilibrium conditions are derived by performing direct integration of the global equilibrium conditions of continuum mechanics. New, exact resultant static continuity conditions along the singular curve modelling reinforced junction are presented. The results do not depend on shell thickness, internal through-the-thickness...
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A note on simple bifurcation of equilibrium forms of an elastic rod on a deformable foundation
PublicationWe study bifurcation of equilibrium states of an elastic rod on a two-parameter Winkler foundation. In the article "Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation" [Nonlinear Anal., Real World Appl. 39 (2018) 451-463] the existence of simple bifurcation points was proved by the use of the Crandall-Rabinowitz theorem. In this paper we want to present an alternative proof of this fact based...
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Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation
PublicationWe consider two-parameter bifurcation of equilibrium states of an elastic rod on a deformable foundation. Our main theorem shows that bifurcation occurs if and only if the linearization of our problem has nontrivial solutions. In fact our proof, based on the concept of the Brouwer degree, gives more, namely that from each bifurcation point there branches off a continuum of solutions.
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Equilibrium of Trichloroethylene Adsorption from Aqueous Solution onto Activated Carbons
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Relations between magnetosonic perturbations as an indicator of a magnetosonic exciter and equilibrium parameters of a plasma
PublicationThe thermodynamic relations between perturbation of pressure and pertur- bation of mass density and between components of velocity which specify a magnetosonic wave are theoretically studied. A planar flow with the wave vec- tor forming a constant angle with the equilibrium magnetic field is investigated. The theory considers deviation from the adiabaticity of a flow due to some kind of heating–cooling function and thermal conduction...
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Kinetic and equilibrium studies of the reaction of 2,4-dinitrophenyl-2,4,6-trinitrophenylmethane with cryptands in acetonitrile
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Hysteresis curves and loops for harmonic and impulse perturbations in some non-equilibrium gases
PublicationEvolution of sound in a relaxing gas whose properties vary in the course of wave propagation, is studied. A relaxing medium may reveal normal acoustic properties or be acoustically active. In the first case, losses in acoustic energy lead to an increase in internal energy of a gas similarly as it happens in Newtonian fluids. In the second case, acoustic energy increases in the course of sound propagation, and the internal energy...
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Removal of diphenols using pine biochar. Kinetics, equilibrium, thermodynamics, and mechanism of uptake
PublicationThermal pyrolysis synthesized activated biochar from the Pinus elliottii sawdust (PS) at 600° C. The obtained activated biochar (PB600) was used for the removal of three diphenols, catechol (CAT), resorcinol (RES), and hydroquinone (HYD), which are utilized mainly in different industries. The PB600 was characterized by several analytical techniques. The BET surface area of 1473 m2.g−1 and a total pore volume of 0.707 cm3 g−1 was...
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Exact resultant equilibrium conditions in the non-linear theory of branching and self-intersecting shells
PublicationWe formulate the exact, resultant equilibrium conditions for the non-linear theory of branching and self-intersecting shells. The conditions are derived by performing direct through-the-thickness integration in the global equilibrium conditions of continuum mechanics. At each regular internal and boundary point of the base surface our exact, local equilibrium equations and dynamic boundary conditions are equivalent, as expected,...
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The unstable thermoelectric effect in non-stoichiometric Cu2Se during the non-equilibrium phase transition
PublicationThe superionic α ↔ β phase transition in Cu1.96Se thermoelectric material is investigated by means of thermal analysis (DSC) and measurements of Seebeck coefficient and electrical conductivity. Results of the DSC measurements with 1–10 K/min heating and cooling rates show that the material is close to the equilibrium phase composition during the transformation. However, the kinetic limitation of the process exists, which is indicated...
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Acoustic field and the entropy mode induced by it in a waveguide filled with some non-equilibrium gases
PublicationThe non-linear propagation of an acoustic beam in a rectangular waveguide is considered. The medium of sound propagation, is a gas where thermodynamically non-equilibrium processes take place: such as exothermic chemical reactions or excitation of vibrational degrees of a molecule’s freedom. The incident and reflected compounds of the acoustic field do not interact in the leading order in the case of periodic weakly nonlinear sound...
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Application of the Optimization Methods to the Search of Marine Propulsion Shafting Global Equilibrium in Running Condition
PublicationFull film hydrodynamic lubrication of marine propulsion shafting journal bearings in running condition is discussed. Considerable computational difficulties in non-linear determining the quasi-static equilibrium of the shafting are highlighted. The approach using two optimization methods (the particle swarm method and the interior point method) in combination with the specially developed relaxation technique is proposed to overcome...
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Effects of rapid heating on non-equilibrium microstructure evolution and strengthening mechanisms of titanium alloy
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Spectroscopic, thermal and equilibrium characterization of U(VI) ions sorption on inulin in the presence of phosphates
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(Vapour + liquid) equilibrium in (n,n-dimethylacetamide + ethanol + water) at the temperature 313.15 K
PublicationW pracy prezentowane są pomiary całkowitej prężności pary dla tytułowego układu trójskładnikowego oraz dla składowych układów binarnych. Uzyskane w pracy wyniki porównane zostały z wcześniejszymi danymi dla podobnych układów. Znaleziono w przybliżeniu liniową zależność pomiędzy wartościami nadmiarowej entalpii swobodnej Gibbsa a objętością molową amidu, spełnianą w układach dwuskładnikowych: amid + alkohol alifatyczny.
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(Vapour and liquid) equilibrium in (N,N-dimethylacetamide+methanol+water) at the temperature 313.15 K.
PublicationPraca zawiera wyniki pomiarów całkowitej prężności pary dla tytułowego układu trójskładnikowego oraz dla ''składowych'' układów binarnych. Wyniki obliczeń nadmiarowej energii swobodnej mieszania dla układów (N,N-dimetyloaceta-mid+woda) i (N,N-dimetyloacetamid+metanol) porównane zostały z rezultatami uzyskanymi wcześniej dla innych układów (amid+metanol) oraz (amid+woda). Znaleziono interesującą zależność wartości nadmiaru...
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A Unique and Stable Polyproline I Helix Sorted out from Conformational Equilibrium by Solvent Polarity
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The effects of confinement in pores built of folded graphene sheets on the equilibrium of nitrogen monoxide dimerisation reaction
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Equilibrium and kinetics studies for the adsorption of Ni2+ and Fe3+ ions from aqueous solution by graphene oxide
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Nodal cooperation equilibrium analysis in multi-hop wireless ad hoc networks with a reputation system
PublicationMotivated by the concerns of cooperation security, this work examines selected principles of state-of-the-art reputation systems for multi-hop ad hoc networks and their impact upon optimal strategies for rational nodes. An analytic framework is proposed and used for identification of effective cooperation-enforcement schemes. It is pointed out that optimum rather than high reputation can be expected to be sought by rational nodes.
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Bifurcation of equilibrium forms of a gas column rotating with constant speed around its axis of symmetry
PublicationWe will be concerned with the problem of deformation of the lateral surface of a column that rotates with constant speed around its axis of symmetry. The column is filled by a gas and our goal is to investigate the deformation of the lateral surface depending on the pressure of the gas.
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Equilibrium, kinetic and thermodynamic studies on adsorption of cationic dyes from aqueous solutions using graphene oxide
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Adsorption of cationic dyes onto Fe@graphite core–shell magnetic nanocomposite: Equilibrium, kinetics and thermodynamics
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Thermally stimulated currents in amorphous solids at mixed carrier recombination, Part I: Non-equilibrium approximation
PublicationPodano opis teoretyczny prądów termicznie stymulowanych dla przypadku mieszanej rekombinacji nośników ładunku, przy założeniu początkowego zapełnienia głębokich stanów pułapkowych oraz silnie nierównowagowego rozkładu nośników w aktywnych pułapkach. Otrzymane wyrażenia zweryfikowano za pomocą obliczeń numerycznych dla przypadku wykładniczego rozkładu pułapek.
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Ammonium removal from aqueous solution by natural zeolite, Transcarpathian mordenite, kinetics, equilibrium and column tests.
PublicationOpisano wyniki badań procesu usuwania jonów amonowych z wodnych roztworów modelowych z wykorzystaniem mordenitu-naturalnego zeolitu (w postaci surowej i po odpowiedniej wstępnej obróbce) zarówno w warunkach statycznych jak i dynamicznych. Oszacowano pojemność jonowymienną w stosunku do jonów amonowych (1,64 meq/g) w przypadku, gdy stężenie początkowe analitu było na poziomie 1000 mg/l. Sprawdzono również wpływ na przebieg procesu...
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Generation of vorticity motion by sound in a chemically reacting gas and inversion of acoustic streaming in the non-equilibrium regime
PublicationBadanie dotyczy nieliniowych pobudzeń modu wirowego wywoływanych przez straty momentu pędu w gazie, w którym zachodzą reakcje chemiczne. Zostało wyprowadzone chwilowe dynamiczne równanie dla modu wirowego. Zawiera ono nieliniową siłę akustyczną co pokazuje, że powodem interakcji między modami akustycznym i wirowym jest nieliniowość. Równanie pozwala jako przyczynę ruchu wirowego rozważać zarówno dźwięk okresowy, jak i aperiodyczny....
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Cis/trans conformational equilibrium across the N-methylphenylalanine2- N-methylphenylalanine3 peptide bond of arginine vasopressin analogs
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Equilibrium and kinetic studies on acid dye Acid Red 88 adsorption by magnetic ZnFe2O4 spinel ferrite nanoparticles
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Adsorption of anionic azo-dyes from aqueous solutions onto graphene oxide: Equilibrium, kinetic and thermodynamic studies
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Reactive imines: Addition of 2-aminopyrimidine to the imine bond and isolation of the aminal from the equilibrium mixture aminal/imine
PublicationThe reaction between o-vanillin and 2-aminopyrimidine leads to the formation of a single crystalline product: aminal, 1, which results from the reaction of the initially formed imine with 2-aminopyrimidine. The reaction was followed by the NMR spectroscopy. VT NMR studies prove that in solution two major species are observed: aminal and imine and their ratio depends on the time or/and temperature with the imine content increasing...
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Fixed-bed adsorption of chlorinated hydrocarbons from multicomponent aqueous solution onto activated carbon: Equilibrium column model
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Acid–Base Equilibrium and Self-Association in Relation to High Antitumor Activity of Selected Unsymmetrical Bisacridines Established by Extensive Chemometric Analysis
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Kinetic and equilibrium studies of the proton and deuteron transfer reaction between bis(2,4-dinitrophenyl)methane and strong nitrogen bases in acetonitrile
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Estimation of concentration equilibrium constants of reaction between mutagenic HAA and antimutagenic cabbage phytochemicals based on data from Ames test
PublicationWykorzystano dane testu Amesa, przy pomocy którego oceniono antymutagenne właściwości fitokompleksu kapusty w stosunku do modelowych kancerogennych heterocyklicznych amin aromatycznych (HAA), do oszacowania stężeniowych stałych reakcji HAA z izotiocyjanianami występującymi w tym warzywie. Wyznaczone stężeniowe stałe reakcji wskazują na dużą stabilność powstałych koniugatów, a zatem sugerują, że kapusta może efektywnie chronić organizm...
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In silico study on the effects of carbonyl groups on chemical equilibrium of reactions with a polar product occurring under confinement in pores of activated carbons
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Acid–Base Equilibrium and Self-Association in Relation to High Antitumor Activity of Selected Unsymmetrical Bisacridines Established by Extensive Chemometric Analysis
PublicationUnsymmetrical bisacridines (UAs) represent a novel class of anticancer agents previously synthesized by our group. Our recent studies have demonstrated their high antitumor potential against multiple cancer cell lines and human tumor xenografts in nude mice. At the cellular level, these compounds affected 3D cancer spheroid growth and their cellular uptake was selectively modulated by quantum dots. UAs were shown to undergo metabolic...
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High-symmetry compact structures are preferred equilibrium configurations of Li n F n+1 − ( n = 2–5) superhalogen anions
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Influence of Leu5 configuration on the equilibrium constants of complexes of [Leu]-enkephalin with β-cyclodextrin studied by fluorescence spectroscopy, microcalorimetry and 1H NMR spectroscopy
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Adsorption of anionic dye Direct Red 23 onto magnetic multi-walled carbon nanotubes-Fe3C nanocomposite: Kinetics, equilibrium and thermodynamics
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Adsorptive Capacity of Calcinated Hen Eggshell Blended with Silica Gel for Removal of Lead II Ions from Aqueous Media: Kinetics and Equilibrium Studies
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Influence of Solvent Polarizability on the Keto-Enol Equilibrium in 4-[5-(naphthalen-1-ylmethyl)-1,3,4-thiadiazol-2-yl]benzene-1,3-diol
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Mechanism of Isomerization and Acid-Induced Transformations of 3-Hydroxy-4,4'-dimethoxy-3'-methyl-3-oxo-7,7'-bis(piperidino-carbonyloxy)-2,2'-spirobi-[2H,2'H,3H,3'H-benzo[b]thiophene]. Unusual Equilibrium between the Spiro and 3-Hydroxy-benzothiophene Systems.
PublicationStwierdzono, że 3'-hydroksy-4,4'-dimetoksy-3'-metylo-3-okso-7,7'-bis(piperydynokarbonyloksy)-2,2'-spirobi[2H,2'H,3H,3'H-benzo[b]tiofen] występuje w roztworach postaci mieszaniny dwóch diastereoizomerów pozostających w dynamicznej równowadze. Mechanizm tej równowagi oparty jest na odwracalnym otwarciu pierścienia z 1,5 przeniesieniem protonu i utworzeniu przjściowej formy 3-hydroksybenzotiofenu.