Variational Sequences, Representation Sequences and Applications in Physics

This paper is a review containing new original results on the finite order variational sequence and its different representations with emphasis on applications in the theory of variational symmetries and conservation laws in physics

Trivial lagrangians in field theory

AbstractThe paper presents a complete description of trivial lagrangians in field theory. It is shown that any higher order trivial lagrangian can be expressed as the horizontal component of the exterior derivative of a projectable form

MATEMATICKÁ „OMEZENÍ“ VE VÝUCE FYZIKY aneb „Jak daleko“ lze zajít s matematikou při výuce fyziky

Text je příspěvkem k diskusi o možných mezích při využívání matematického aparátu ve výuce fyziky na středních školách. Soustředí se zejména na problematiku vektorového počtu, kde zřejmě převládají názory učitelů, že použití skalárního, a tím spíš vektorového součinu, ve výkladu fyziky na střední škole není vhodné – jednalo by se tak o neefektivní formalismus, který u studentů nevede k pochopení. Náš příspěvek s tímto názorem polemizuje s poukazem na fakt, že záleží na způsobu výkladu aparátu.The paper contributes to discussions on possible limitations of using mathematical tools in teaching Physics on secondary schools. It is focused especially to vector calculus, where dominate teacher´s opinions that the use of scalar and vector products in teaching secondary school Physics is inconvenient, because it is an ineffective formalism that cannot by understood by students. We argue with this opinion highlighting the fact that the mode of explanation of mathematics is important

Proposal of a suitable insurable portfolio for a municipality Budišov

Diplomová práce se zabývá problematikou, která souvisí s návrhem pojistného portfolia pro obec Budišov. Na základě aktiv obce a analýzy rizik je navrhnuto takové pojistné portfolio, díky kterému budou nejzávažnější rizika obce prostřednictvím komerční pojišťovny minimalizována.This diploma thesis deals with the problems related to insurance protection for municipality Budišov. The insurance portfolio is suggested on the basis of municipality assets and analysis of all risks. It helps to minimize the most serious risks of its activities through the commercial insurance company.

Taxonomic revision and insights into the speciation mode of the spider Dysdera erythrina species-complex (Araneae : Dysderidae): sibling species with sympatric distributions

The genus Dysdera, a species-rich group of spiders that includes specialised predators of woodlice, contains several complexes of morphologically similar sibling species. Here we investigate species limits in the D. erythrina (Walckenaer, 1802) complex by integrating phenotypic, cytogenetic and molecular data, and use this information to gain further knowledge on its origin and evolution. We describe 16 new species and redescribe four poorly known species belonging to this clade. The distribution of most of the species in the complex is limited to southern France and the north-eastern Iberian Peninsula. The species studied do not show any obvious differences in habitat preference, and some of them even occur sympatrically at certain sites. They probably feed on the same type of prey as they readily capture woodlice. On the other hand, they differ in body size, mouthparts shape, sculpturing of carapace, morphology of the copulatory organs, karyotype and DNA sequences. Experimental interspecific mating showed a partial precopulatory behavioural barrier between D. erythrina and D. cechica, sp. nov. Our data suggest that karyotype evolution of the complex included chromosome fusions and fissions as well as translocations (between autosomes as well as autosomes and sex chromosomes). We hypothesise that chromosome rearrangements generating reproductive incompatibility played a primary role in speciation within Dysdera complexes. Dysdera spiders are poor dispersers, and their original distribution areas (forested areas in the Mediterranean) were repeatedly fragmented during Quarternary climatic oscillations, facilitating integration of chromosome rearrangements into karyotypes by genetic drift. Sympatric occurrence of closely related species may have been promoted by prey segregation as suggested by differentiation in body size in co-occurring species. The following new species are described: D. catalonica, sp. nov., D. cechica, D. dolanskyi, sp. nov., D. fabrorum, sp. nov., D. garrafensis, sp. nov., D. graia, sp. nov., D. kropfi, sp. nov., D. minairo, sp. nov., D. portsensis, sp. nov., D. pradesensis, sp. nov., D. pyrenaica, sp. nov., D. quindecima, sp. nov., D. septima, sp. nov., D. stahlavskyi, sp. nov., D. tredecima, sp. nov. and D. undecimal, sp. nov

The effect of plasma pretreatment and cross-linking degree on the physical and antimicrobial properties of nisin-coated PVA films

Stable antimicrobial nisin layers were prepared on the carrying medium-polyvinyl alcohol (PVA) films, crosslinked by glutaric acid. Surface plasma dielectric coplanar surface barrier discharge (DCSBD) modification of polyvinyl alcohol was used to improve the hydrophilic properties and to provide better adhesion of biologically active peptide-nisin to the polymer. The surface modification of films was studied in correlation to their cross-linking degree. Nisin was attached directly from the salt solution of the commercial product. In order to achieve a stable layer, the initial nisin concentration and the following release were investigated using chromatographic methods. The uniformity and stability of the layers was evaluated by means of zeta potential measurements, and for the surface changes of hydrophilic character, the water contact angle measurements were provided. The nisin long-term stability on the PVA films was confirmed by tricine polyacrylamide gel electrophoresis (SDS-PAGE) and by antimicrobial assay. It was found that PVA can serve as a suitable carrying medium for nisin with tunable properties by plasma treatment and crosslinking degree. © 2018 by the authors.Czech Science Foundation (Grant Agency of the Czech Republic) [17-10813S

Bee bread - perspective source of bioactive compounds for future

Bee bread is product with long history used mainly in folk medicine. Nowadays, bee bread is growing in commercial interest due to its high nutritional properties. The objective of this study was to determine biological activity of ethanolic extract of bee bread obtained from selected region of Ukraine - Poltava oblast, Kirovohrad oblast, Vinnica oblast, Kyiv oblast, Dnepropetrovsk oblast. The antioxidant activity was measured with the radical scavenging assays using 1,1-diphenyl-2-picrylhydrazyl (DPPH) radical as well as phosphomolybdenum assay. Total polyphenol content was determined with Folin-Ciocalteau reagent and total flavonoid content by aluminium-chloride method. Secondary was also evaluated antimicrobial activity in bee bread samples with disc diffusion method and minimum inhibitory concentrations. Antioxidant activity expressed as mg TEAC per g of dry weight (Trolox equivalent antioxidant capacity) was the highest in bee bread from Poltava oblast in DPPH and also phosphomolybdenum method. Samples of bee bread contained high levels of total polyphenols (12.36 - 18.24 mg GAE - gallic acid equivalent per g of dry weight) and flavonoids (13.56 - 18.24 μg QE - quercetin equivalent per g of dry weight) with the best values of bee bread from Poltava oblast. An elevated level of antioxidant potential in the bee bread determines its biological properties, which conditioned of the biological active substances. The best antibacterial activity of bee bred with disc diffusion method was found against Bacillus thuringiensis CCM 19. The antibacterial activity inhibited by the bee bread extract in the present study indicate that best minimal inhibition concentration was against bacteria Escherichia coli CCM 3988 and Salmonella enterica subs. enterica CCM 3807