Deformed Galilei symmetry

A particular deformation of central extended Galilei group is considered. It is shown that the deformation influences the rules of constructing the composed systems while one particle states remain basically unaffected. In particular the mass appeared to be non additive.Comment: 14 pages LaTeX2e fil

Chiral fermions, massless particles and Poincare covariance

The coadjoint orbit method is applied to the construction of Hamiltonian dynamics of massless particles of arbitrary helicity. The unusual transformation properties of canonical variables are interpreted in terms of nonlinear realizations of Poincare group. The action principle is formulated in terms of new space–time variables with standard transformation properties.Piotr Kosi´nski gratefully acknowledges fruitful discussion and kind correspondence with P.Horvathy and J.Lukierski.The re-search was supported by the grant of National Science Centrenum-ber DEC-2013/09/B/ST2/02205

Weak n-Ary Relational Products in Allegories

Allegories are enriched categories generalizing a category of sets and binary relations. Accordingly, relational products in an allegory can be viewed as a generalization of Cartesian products. There are several definitions of relational products currently in the literature. Interestingly, definitions for binary products do not generalize easily to n-ary ones. In this paper, we provide a new definition of an n-ary relational product, and we examine its properties.We would like to thank the reviewers for their helpful suggestions

Depurification by Lorentz boosts

We consider a particle of half-integer spin which is nonrelativistic in the rest frame. Assuming the particle is completely polarized along third axis we calculate the Bloch vector as seen by a moving observer. The result for its length is expressed in terms of dispersion of some vector operator linear in momentum. The relation with the localization properties is discussed.Comment: 5 page

Photodegradation assessment of amisulpride, doxepin, haloperidol, risperidone, venlafaxine, and zopiclone in bulk drug and in the presence of excipients

Photostability of amisulpride, doxepin, haloperidol, risperidone, venlafaxine, and zopiclone in APIs and powdered tablets during exposure to UVA irradiation was studied. In order to evaluate the photodegradation process an ultrahigh performance liquid chromatography method coupled with tandem mass spectrometry (UHPLC-MS/MS) was developed and validated. It was found that the photodegradation of the studied compounds depends on the type of drug and co-existing excipients. Different percentage of photodegradation of the studied drugs was observed, and therefore amisulpride decomposed at 2.63% in bulk drug and at 5.74% in pharmaceutical preparation, doxepin: 29% and 72.38%, haloperidol: 3.71% and 26.20%, risperidone: 7.13% and 12.86%, venlafaxine: 38.59% and 4.22%, zopiclone: 18.62% and 31.42% respectively, after 114 days of UVA irradiation. In addition, kinetic evaluation of the photodegradation process was performed by determining the order of reaction, reaction rate constant k and time $t_{0.1}$ and $t_{0.5}$. The photodegradation products of studied drugs were identified, and their fragmentation pathways, derived from MS/MS data, were proposed. The photostability testing is an integral part of the drug stability assessment to ensure quality, efficacy and safety of the formulated products during manufacturing process, storage as well as normal use

Modalities for an Allegorical Conceptual Data Model

Allegories are enriched categories generalizing a category of sets and binary relations. In this paper, we extend a new, recently-introduced conceptual data model based on allegories by adding support for modal operators and developing a modal interpretation of the model in any allegory satisfying certain additional (but natural) axioms. The possibility of using different allegories allows us to transparently use alternative logical frameworks, such as fuzzy relations. Mathematically, our work demonstrates how to enrich with modal operators and to give a many world semantics to an abstract algebraic logic framework. We also give some examples of applications of the modal extension.We would like to thank the reviewers for their helpful suggestions

Development and validation of stability-indicating HPLC methods for the estimation of lomefloxacin and balofloxacin oxidation process under ACVA, H2O2H_{2}O_{2} or KMnO4KMnO_{4} treatment. Kinetic evaluation and identification of degradation products by mass spectrometry

The oxidation of lomefloxacin (LOM) and balofloxacin (BAL) under the influence of azo initiator of radical reactions of 4,4′-azobis(4-cyanopentanoic acid) (ACVA) and H2O2 was examined. Oxidation using H2O2 was performed at room temperature while using ACVA at temperatures: 40, 50, 60 °C. Additionally, the oxidation process of BAL under the influence of KMnO4 in an acidic medium was investigated. New stability-indicating HPLC methods were developed in order to evaluate the oxidation process. Chromatographic analysis was carried out using the Kinetex 5u XB—C18 100A column, Phenomenex (Torrance, CA, USA) (250 × 4.6 mm, 5 μm particle size, core shell type). The chromatographic separation was achieved while using isocratic elution and a mobile phase with the composition of 0.05 M phosphate buffer (pH = 3.20 adjusted with o-phosphoric acid) and acetonitrile (87:13 v/v for LOM; 80:20 v/v for BAL). The column was maintained at 30 °C. The methods were validated according to the ICH guidelines, and it was found that they met the acceptance criteria. An oxidation process followed kinetics of the second order reaction. The most probable structures of LOM and BAL degradation products formed were assigned by the UHPLC/MS/MS method

Monitoring of PAHs in simulated natural and artificial fires by HPLCDAD- FLD with the application of Multi-Component Integrated Calibration Method to improve quality of analytical results

Modifications of integrated calibration method (ICM) in its basic variant and complementary dilution method version (CDM) were adapted to multi-component (MC) analysis to obtain novel calibration approaches improving the accuracy of analytical results. Methods were developed conceptually and their performance was assessed on the basis of polycyclic aromatic hydrocarbons (PAHs) determination in air samples. The natural (thuja needles) and synthetic (polymer) materials were combusted simulating fires or home users’ combustion. Analytical method for determination EPA PAHs was developed using HPLCDAD- FLD. It has been confirmed that the improved analytical results accuracy obtained in MCICM and MC-ICM/CDM was described by relative error <1.5%. Multiplicative effects due to the coelution of other substances were detected by comparing the individual estimations of the analytical results. The results free from this effect were determined. According to RGB Additive Color Model, the proposed approach is White – method is a good candidate of choice for all applications

The Carbon Footprint Methodology in CFOOD Project

In the paper, the research on the process of optimizing the carbon footprint to obtain the low-carbon products is presented. The optimization process and limits were analyzed based on the CFOOD project co-financed by the Polish Research and Development Agency. In the article, the carbon footprint (CF) testing methods with particular emphasis on product life cycle assessment (LCA) are discussed. The main problem is that the energy received from the energy-meters per the production stage is not directly represented in the raw data set obtained from the factory because many machines are connected to a single measurement point. In the paper, we show that in some energy-demanding production stages connected with cooling processes the energy used for the same stage and similar production can differ even 25-40%. That is why the energy optimization in the production can be very demanding