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Search results for: HAMILTONIAN ACTION FUNCTIONAL, PALAIS-SMALE CONDITION, WEINSTEIN CONJECTURE
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The Palais–Smale condition for the Hamiltonian action on a mixed regularity space of loops in cotangent bundles and applications
PublicationWe show that the Hamiltonian action satisfies the Palais-Smale condition over a “mixed regular- ity” space of loops in cotangent bundles, namely the space of loops with regularity H^s, s ∈ (1/2, 1), in the baseand H^{1−s} in the fiber direction. As an application, we give a simplified proof of a theorem of Hofer-Viterbo on the existence of closed characteristic leaves for certain contact type hypersufaces in cotangent bundles.
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Joanna Janczewska prof. dr hab.
PeopleJoanna Janczewska obtained her PhD degree at the University of Gdansk in 2002. From October 1999 to September 2004 she was an assistant at the University of Gdansk. Since October 2004 she has been an assistant professor at the Gdansk University of Technology. Moreover, from October 2008 to September 2010 she had a visiting position in the Institute of Mathematics of the Polish Academy of Sciences. Her mathematical interests...
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A convergence result for mountain pass periodic solutions of perturbed Hamiltonian systems
PublicationIn this work, we study second-order Hamiltonian systems under small perturbations. We assume that the main term of the system has a mountain pass structure, but do not suppose any condition on the perturbation. We prove the existence of a periodic solution. Moreover, we show that periodic solutions of perturbed systems converge to periodic solutions of the unperturbed systems if the perturbation tends to zero. The assumption on...
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Homoclinics for singular strong force Lagrangian systems in R^N
PublicationWe will be concerned with the existence of homoclinics for second order Hamiltonian systems in R^N (N>2) given by Hamiltonians of the form H(t,q,p)=Φ(p)+V(t,q), where Φ is a G-function in the sense of Trudinger, V is C^2-smooth, periodic in the time variable, has a single well of infinite depth at a point ξ and a unique strict global maximum 0 at the origin. Under a strong force type condition aroud the singular point ξ, we prove...
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Two families of infinitely many homoclinics for singular strong force Hamiltonian systems
PublicationWe are concerned with a planar autonomous Hamiltonian system with a potential possessing a single well of infinite depth at a point X and a unique strict global maximum 0 at a point A. Under a strong force condition around the singularity X, via minimization of an action integral and using a shadowing chain lemma together with simple geometrical arguments, we prove the existence of infinitely many geometrically distinct homoclinic...
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The Arnold conjecture in $ \mathbb C\mathbb P^n $ and the Conley index
Publicationn this paper we give an alternative, purely Conley index based proof of the Arnold conjecture in CP^n asserting that a Hamiltonian diffeomorphism of CP^n endowed with the Fubini-Study metric has at least (n+1) fixed points.
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Periodic expansion in determining minimal sets of Lefschetz periods for Morse–Smale diffeomorphisms
PublicationWe apply the representation of Lefschetz numbers of iterates in the form of periodic expansion to determine the minimal sets of Lefschetz periods of Morse–Smale diffeomorphisms. Applying this approach we present an algorithmic method of finding the family of minimal sets of Lefschetz periods for Ng, a non-orientable compact surfaces without boundary of genus g. We also partially confirm the conjecture of Llibre and Sirvent (J Diff...
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Subharmonic solutions for a class of Lagrangian systems
PublicationWe prove that second order Hamiltonian systems with a potential of class C1, periodic in time and superquadratic at infinity with respect to the space variable have subharmonic solutions. Our intention is to generalise a result on subharmonics for Hamiltonian systems with a potential satisfying the global Ambrosetti-Rabinowitz condition from [P. H. Rabinowitz, Proc. Roy. Soc. Edinburgh Sect. A, 114 (1990), 33-38]. Indeed, we weaken...
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Joanna Rymaszewska prof. dr hab. n. med.
PeopleCV Joanna Rymaszewska Wroclaw University of Science and Technology, Wroclaw, Poland +48 601 98 26 24, joanna.rymaszewska@pwr.edu.pl orcid.org/0000-0001-8985-3592 2023 → Professor of Wroclaw University of Science and Technology (WUST), Poland 2011 → 2023 Professor of Wroclaw Medical University (WMU), PL 2016 → 2022 Head of the Department of Psychiatry, Wroclaw Medical University 2016 → 2022 Head of the Clinic of Psychiatry,...
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Homoclinic orbits for a class of singular second order Hamiltonian systems in ℝ3
PublicationWe consider a conservative second order Hamiltonian system \ddot{q}+ ∇V(q)=0 in R3 with a potential V having a global maximum at the origin and a line l ∩ {0} = ∅ as a set of singular points. Under a certain compactness condition on V at infinity and a strong force condition at singular points we study, by the use of variational methods and geometrical arguments, the existence of homoclinic solutions of the system.
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The equivariant spectral flow and bifurcation of periodic solutions of Hamiltonian systems
PublicationWe define a spectral flow for paths of selfadjoint Fredholm operators that are equivariant under the orthogonal action of a compact Lie group as an element of the representation ring of the latter. This G-equivariant spectral flow shares all common properties of the integer valued classical spectral flow, and it can be non-trivial even if the classical spectral flow vanishes. Our main theorem uses the G-equivariant spectral flow...
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On the Existence of Homoclinic Type Solutions of a Class of Inhomogenous Second Order Hamiltonian Systems
PublicationWe show the existence of homoclinic type solutions of a class of inhomogenous second order Hamiltonian systems, where a C1-smooth potential satisfies a relaxed superquadratic growth condition, its gradient is bounded in the time variable, and a forcing term is sufficiently small in the space of square integrable functions. The idea of our proof is to approximate the original system by time-periodic ones, with larger and larger...
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Approximative sequences and almost homoclinic solutions for a class of second order perturbed Hamiltonian systems
PublicationIn this work we will consider a class of second order perturbed Hamiltonian systems with a superquadratic growth condition on a time periodic potential and a small aperiodic forcing term. To get an almost homoclinic solution we approximate the original system by time periodic ones with larger and larger time periods. These approximative systems admit periodic solutions, and an almost homoclinic solution for the original system...
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On Dynamic Boundary Conditions Within the Linear Steigmann-Ogden Model of Surface Elasticity and Strain Gradient Elasticity
PublicationWithin the strain gradient elasticity we discuss the dynamic boundary conditions taking into account surface stresses described by the Steigmann–Ogden model. The variational approach is applied with the use of the least action functional. The functional is represented as a sum of surface and volume integrals. The surface strain and kinetic energy densities are introduced. The Toupin–Mindlin formulation of the strain gradient elasticity...
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Variational Method of Finding Streamlines in Ring Cascades for Creeping Flows
PublicationThis paper presents a new, analytical method of finding streamlinesfor creeping flows inside a ring cascade which is composed of an infinite number of infinitely thin blades. An analytical solution has been obtained through minimisation of a dissipation functional by means of variational calculus method. The necessary condition for optimum of a functional gives the Stokes equation if some additional assumptions are introduced....
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Strong ellipticity conditions and infinitesimal stability within nonlinear strain gradient elasticity
PublicationWe discuss connections between the strong ellipticity condition and the infinitesimal instability within the nonlinear strain gradient elasticity. The strong ellipticity (SE) condition describes the property of equations of statics whereas the infinitesimal stability is introduced as the positive definiteness of the second variation of an energy functional. Here we establish few implications which simplify the further analysis...
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The role of observatories in the integrated transport safety systems
PublicationAccurate knowledge about the causes, circumstances and place of transport accidents is the prerequisite to take the correct action to improve transport safety. Developing appropriate organizational structures, forms and methods of management and implementation of safety measures in the sectoral approach condition the success. Therefore, the Safety Information System is one of the integral areas of the Integrated Transport Safety...
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Road Safety Observatories within the Structure of Integrated Transport Safety Systems
PublicationAccurate knowledge about the causes, circumstances and place of transport accidents is the prerequisite to take the correct action to improve transport safety. Developing appropriate organizational structures, forms and methods of management and implementation of safety measures in the sectoral approach condition the success. Therefore the Safety Information System is one of the integral areas of the Integrated Transport Safety...
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Homoclinics for singular strong force Lagrangian systems
PublicationWe study the existence of homoclinic solutions for a class of generalized Lagrangian systems in the plane, with a C1-smooth potential with a single well of infinite depth at a point ξ and a unique strict global maximum 0 at the origin.Under a strong force condition around the singular point ξ, via minimization of an action integral, we will prove the existence of at least two geometrically distinct homoclinic solutions.
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Invariant Measures for Uncountable Random Interval Homeomorphisms
PublicationA necessary and sufficient condition for the iterated function system { f (·, ω) | ω ∈ } with probability P to have exactly one invariant measure μ∗ with μ∗((0, 1)) = 1 is given. The main novelty lies in the fact that we only require the transformations f (·, ω) to be increasing homeomorphims, without any smoothness condition, nei- ther we impose conditions on the cardinality of . In particular, positive Lyapunov exponents conditions...
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Functional and spatial structure analysis – Lower Sopot (Dolny Sopot) district case study, study proposal no 1, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Lower Sopot (Dolny Sopot) district, study proposal no 1, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Lower Sopot (Dolny Sopot) district in the...
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Functional and spatial structure analysis – Lower Sopot (Dolny Sopot) district case study, study proposal no 2, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Lower Sopot (Dolny Sopot) district, study proposal no 2, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Lower Sopot (Dolny Sopot) district in the...
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Functional and spatial structure analysis – Lower Sopot (Dolny Sopot) district case study, study proposal no 4, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Lower Sopot (Dolny Sopot) district, study proposal no 4, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Lower Sopot (Dolny Sopot) district in the...
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Functional and spatial structure analysis – Lower Sopot (Dolny Sopot) district case study, study proposal no 3, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Lower Sopot (Dolny Sopot) district, study proposal no 3, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Lower Sopot (Dolny Sopot) district in the...
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Functional and spatial structure analysis – Lower Sopot (Dolny Sopot) district case study, study proposal no 5, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Lower Sopot (Dolny Sopot) district, study proposal no 5, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Lower Sopot (Dolny Sopot) district in the...
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Functional and spatial structure analysis – Lower Sopot (Dolny Sopot) district case study, study proposal no 6, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Lower Sopot (Dolny Sopot) district, study proposal no 6, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Lower Sopot (Dolny Sopot) district in the...
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Functional and spatial structure analysis – Gdańsk-Lower City (Dolne Miasto) district case study, study proposal no 2, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Gdańsk-Lower City (Dolne Miasto) district, study proposal no 2, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Gdańsk-Lower City (Dolne Miasto) district...
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Functional and spatial structure analysis – Gdańsk-Lower City (Dolne Miasto) district case study, study proposal no 3, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Gdańsk-Lower City (Dolne Miasto) district, study proposal no 3, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Gdańsk-Lower City (Dolne Miasto) district...
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Functional and spatial structure analysis – Gdańsk-Lower City (Dolne Miasto) district case study, study proposal no1, February 2021
Open Research DataThe data presents results of work within the studies of the conditions of the district in the context of the city, Gdańsk-Lower City (Dolne Miasto) district, study proposal no 1, from February 2021. The goal of the research process was to present the functional and spatial structure analysis of the area located in Gdańsk-Lower City (Dolne Miasto) district...
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Verification of the criteria for evaluation of water and frost resistance of asphalt concrete
PublicationThe paper presents the results of field investigation - condition survey of existing pavements and the results of laboratory tests on water and frost resistance of samples cored from the these pavements. The purpose of testing was to verify the criteria for evaluation of the resistance of asphalt concrete to the action of water and frost by way of comparing the results of field and laboratory tests, followed by evaluation of their...
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Bunker demolition located in a conservation protection zone in the light of technical, national defense, functional-utility and economic conditions
PublicationThe paper presents a description of the technical condition of the Bunker building located at the port quay, which has been out of use for several decades. The direct reason for the cessation of exploitation was the deletion of Bunker from the Civil Defense records. The paper contains a detailed analysis of the Bunker's technical condition, also taking into account the national defense, functional and utility aspects and the issues...
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Demolition of the cereal elevator building located in the conservation protection zone in the aspect of technical, functional-utility and economic conditions
PublicationThe paper presents a description of the technical condition of the Grain Elevator building situated on the port quay, which after many years of operation has been decommissioned. The immediate reason for the cessation of operation was the change in the use profile of the port quay, which caused the handling of other goods at the quay than the bulk materials originally stored in Elewator Zbożowy. The work contains...
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Żywność funkcjonalna- najważniejsze osiągnięcia w zakresie badań i wykorzystania
PublicationW wielu ośrodkach naukowych trwają badania ukierunkowane na poznanie mechanizmów działania składników żywności funkcjonalnej na poziomie ekspresji genetycznej, co stwarza możliwość precyzyjniejszego scharakteryzowania funkcji bioaktywnych składników diety z uwzględnieniem zmienności genetycznej populacji. Daje to w efekcie bardziej wiarygodne wyniki badań naukowych dotyczących wpływu bioaktywnych składników diety na funkcjonowanie...
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Unusual dynamics and nonlinear thermal self-focusing of initially focused magnetoacoustic beams in a plasma
PublicationUnusual thermal self-focusing of two-dimensional beams in plasma which axis is parallel to the equilibrium straight magnetic field is considered. The equi- librium parameters of plasma determine scenario of a beam divergence (usual or unusual) which is stronger as compared with a flow without magnetic field. Nonlinear thermal self-action of a magnetosonic beam behaves differently in the ordinary and unusual cases. Damping of wave...
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Durability of Asphalt Concrete Subjected to Deteriorating Effects of Water and Frost
PublicationThe paper presents testing of the detrimental effects of water and frost on asphalt pavements. It included laboratory testing of 5 fatigue life of asphalt concrete that was subjected to action of water and frost and field testing of damages caused by water and frost on 6 existing asphalt pavements, such as stripping, raveling, and potholes. Laboratory simulation of water and frost action was based on the 7 original AASHTO T283...
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Analysis of hydrodynamic pressure fields of motorboats and pontoons in shallow water
PublicationThe article presents the results of calculations of the pressure fields generated by a motorboat at the bottom of a shallow sea. Calculations were made using the boundary elements method (BEM), arranged on the surface of the boat and the bottom of the sea. This method is described in [3], and applied on a free surface linearized boundary condition. Results for four different lengths of motorboats, from 2.85 m to 9.5 m, sea depth...
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Quantumness in Diagnostics of Marine Internal Combustion Engines and Other Ship Power Plant Machines
PublicationThe article provides proof that the diagnostics of marine internal combustion engines and other ship power plant machines should take into account the randomness and unpredictability of certain events, such as wear, damage, the variations of mechanical and thermal loads, etc., which take place during machine operation. In the article, the energy E, like the other forms (methods) that it can be converted into (heat and work), is...
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Monitoring system of the road embankment
PublicationThe paper presents the monitoring system of the embankment supported on concrete columns and overlaid by a load transfer platform (LTP) with the embedded steel grid. This field investigation was to study the complex inter-action between the columns, the LTP layer, and steel reinforcement via full-scale in situ measurements during erection of the embankment. The study was focused on the behaviour of steel reinforcement and the behaviour...
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Excited states of mono- and biruthenium(II) complexes adsorbed on nanocrystalline titanium dioxide studied by electroabsorption spectroscopy
PublicationComprehensive characterization of the lowest energy electronic excited states for mono- and binuclear Ru(II) complexes containing bipyridine ligands has been performed by electroabsorption (EA) spectroscopy. The EA spectra of Ru complexes sensitizing a TiO2 semiconductor were compared with the spectra of these complexes in the form of solid neat films, both of which parametrized within the Liptay theory. The extracted values of...
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Religious social action and its organizational profiles
PublicationPurpose Social action implemented by the Church via its affiliated entities, foundations and associations may be viewed as a uniform activity. In reality, however, several organizational profiles exist that depend on the origin of these organizations (lay or religious), the scope of their activities (local or general) and their dependence on resources (whether from public administration or civil society). The paper aims to discuss...
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Determining required safety integrity level
PublicationOne of the most important stage of technical system functional safety analysis is defining the safety-related functions as well as determining safety integrity level (SIL) for each defined function. A properly carried out hazard identyfication process is the necessary condition for correct definition of the safety-related functions. Determining the safety integrity level (SIL) is based on risk assessment taking into account risk...
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Fuzzy Sets in the GIS Environment in the Location of Objects on the Surface of Water Bodies
PublicationThe issue presented here focuses on concerns about the localization of the object on water surface. The article shows how to facilitate localization process by applying mathematical solutions characterized by simplicity, rapid action and delivering credible results. The paper shows the results of background experiments, which enabled to collect technical parameters needed for conducting simulation testing. The research has been...
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Evaluation of the influence of the opening pressure of a marine Diesel engine injector on the results of numerical simulation of the working cycle and their comparison with the results of the laboratory experiment
PublicationThe article presents the results of a numerical simulation of the working process carried out in a diesel engine. In the applied utility program DIESEL-RK, the laboratory engine Farymann Diesel type D10 was implemented. A selected inoperability of its functional fuel supply system - reduced opening pressure of the injector pinj - was introduced. The values of adequate diagnostic parameters were determined: working gas temperature...
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STRUCTURE AND ALGORITHMS OF A DIAGNOSTIC DEVICE IN A WHEELED TRACTOR
PublicationDiagnostic device monitors the tractor’s technical condition and identifies the location of damaged components during operation. The diagnostic device detects and identifies the following types of defects: functional defects (uf) which affect performance, exhaust defects (ue) which increase toxic emissions and fuel consumption, defects that jeopardize driving safety (us), defects that affect engine performance (ud). The key component...
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Structural and dynamic changes adopted by EmrE, multidrug transporter protein—Studies by molecular dynamics simulation
PublicationEmrE protein transports positively charged aromatic drugs (xenobiotics) in exchange for two protons and thus provides bacteria resistance to variety of drugs. In order to understand how this protein may recognize ligands, the monomer and asymmetric apo-form of the EmrE dimer embedded in a heterogeneous phospholipid (POPE + POPG) membrane were studied by molecular dynamics simulations. Dimer is regarded as a functional form of the...
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Modern Material Solutions Applied in Pediatric Facilities
PublicationNew tendencies in forming of the health services functional buildings’ systems shaped along with the emergence of caring for patient’s mental condition in medical sciences. The interior design harmonized with the medical function became an incredibly important feature. This opened up new opportunities for the architecture of health care facilities. A positive architecture’s impact on the user’s well-being is remarkably important...
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Structural studies of a cold-adapted dimeric Beta-D-galactosidase from Paracoccus sp. 32d
PublicationThe crystal structure of a novel dimeric [beta]-D-galactosidase from Paracoccus sp. 32d (Par[beta]DG) was solved in space group P212121 at a resolution of 2.4 Å by molecular replacement with multiple models using the BALBES software. This enzyme belongs to glycoside hydrolase family 2 (GH2), similar to the tetrameric and hexameric [beta]-D-galactosidases from Escherichia coli and Arthrobacter sp. C2-2, respectively. It is the second...
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"Food Oxidants and Antioxidants" Book review
PublicationThe book is the 14th title in the CRC series Chemical and Functional Properties of Food Components, edited since 2001 by Zdzisław E. Sikorski. The editor of the book, a professor in the University of Łódź and member of the Polish Academy of Sciences, is an internationally recognized authority in biochemistry and biophysics of reactive oxygen species. In Poland Grzegorz Bartosz has a reputation as the author of his most interesting...
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Oxylipin profiling for clinical research: Current status and future perspectives
PublicationOxylipins are potent lipid mediators with increasing interest in clinical research. They are usually measured in systemic circulation and can provide a wealth of information regarding key biological processes such as inflammation, vascular tone, or blood coagulation. Although procedures still require harmonization to generate comparable oxylipin datasets, performing comprehensive profiling of circulating oxylipins in large studies...
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Experimental bases for the rail track surface damage detection system
PublicationA diagnosis of rail surface is generally based on the classical method of direct assessment and track geometry measurements. Identification and qualification of inequality and damage on the surface rails is depend on the skills and experience person who conducting inspection. In times of increasing exploitation of railways, infrastructure managers decide to use systems supporting the assessment of technical condition of the railways....