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This paper reproduces the result of Elliot, namely that the irreducible finite dimensional representation of the Lie algebra su(3) of highest weight (m, n) is decomposed according to the embedding so(3) ⊂ su(3). First, a realisation (a representation in terms of vector fields) of the Lie algebra su(3) is constructed on a space of polynomials of three variables. The special polynomial basis of the representation space is given. In this basis, we find the highest weight vectors of the representation of the Lie subalgebra so(3) and in this way the representation space is decomposed to the direct sum of invariant subspaces. The process is illustrated by the example of the decomposition of the representation of highest weight (2, 2). As an additional result, the generating function of the decomposition is given.

The only known sulfur-containing karrikin, 3-methyl-2H-thiopyrano[3,4-b]furan-2-one, has been recently identified as an extremely efficient neuroprotective butenolide. Herein, we report the targeted synthesis of this compound as well as new synthetic protocols toward a class of compounds derived from 2H-furo[2,3-c]pyran-2-ones (karrikins) via bioisosteric exchange of oxygen with sulfur. In particular, we present synthetic procedures toward bioisosteres of karrikins with one or two sulfur heteroatoms incorporated into the core backbone together with evaluation of their biological activity in inhibition of acetylcholinesterase.

In our study, the effect of the use of autofluorescence (Visually Enhanced Lesion Scope—VELscope) on increasing the success rate of surgical treatment in oral squamous carcinoma (OSCC) was investigated. Our hypothesis was tested on a group of 122 patients suffering from OSCC, randomized into a study and a control group enrolled in our study after meeting the inclusion criteria. The preoperative checkup via VELscope, accompanied by the marking of the range of a loss of fluorescence in the study group, was performed before the surgery. We developed a unique mucosal tattoo marking technique for this purpose. The histopathological results after surgical treatment, i.e., the margin status, were then compared. In the study group, we achieved pathological free margin (pFM) in 55 patients, pathological close margin (pCM) in 6 cases, and we encountered no cases of pathological positive margin (pPM) in the mucosal layer. In comparison, the control group results revealed pPM in 7 cases, pCM in 14 cases, and pFM in 40 of all cases in the mucosal layer. This study demonstrated that preoperative autofluorescence assessment of the mucosal surroundings of OSCC increased the ability to achieve pFM resection 4.8 times in terms of lateral margins.

The presented paper contributes to the current state of discussion about the effects of fiscal policy on economic activity in three key points. It focuses on the effects of fiscal policy on poverty and social exclusion instead of on broad measures of economic performance, the analysis is performed on the regional level of some EU national economies and it focuses on possible asymmetric impacts according to the level of the economic performance of the regions regarding the national levels. The results show that fiscal restrictions, both expenditure and income-oriented, have significant negative impacts on both poverty and social exclusion. Especially as far as social exclusion is concerned the impacts on the already underperforming regions seem to be even more profound. When poverty is considered as a measure of inequality instead of social exclusion then revenue-oriented fiscal restrictions seem relatively more harmful than expenditure-oriented fiscal consolidations as far as the underperforming regions are concerned.

The lignicolous saprotrophic genus Entonaema contains six formally accepted species: E. liquescens (type species), E. cinnabarinum, E. globosum, E. dengii, E. moluccanum, and E. siamensis. Its stromatic ascomata develop on the surface of dead wood remnants; they are rather large, globose to irregularly shaped, and vividly coloured. The fresh stroma interior is filled with a liquid matter. In early studies, the genus was considered to have a preference for tropical habitats, while in more recent field research, numerous collections have been added from warm, temperate areas of Europe, North America, and Asia. Our taxonomic and phylogenetic studies were based on freshly collected E. cinnabarinum from Croatia and E. liquescens from the USA. A phylogenetic study of the sequence alignment of four concatenated gene regions (ITS, LSU, rpb2, and β-tub) revealed the true taxonomic position of Entonaema within Hypoxylaceae (Xylariales), a sister to Hypoxylon carneum. Detailed macroscopic and microscopic descriptions of E. cinnabarinum are accompanied by drawings and colour photographs, while the study of E. liquescens is focused on stromatal microchemical reaction. With new information, the worldwide identification key to the putative species of Entonaema is proposed. Ecological data and biogeographical patterns were studied using all available and reliable sources of recorded data. Climatic preferences of the two most widespread Entonaema species, E. liquescens and E. cinnabarinum, are discussed in detail.

The objective of this study was to compare the distribution of stress in the maxillary bone, dental implants, and prosthetic components supporting implant-supported maxillary overdentures with partial palatal coverage, in both splinted and unsplinted designs. Two models of maxillary overdentures were designed using the Exocad Dental CAD program, which included cancellous and cortical bone. The complete denture design and abutments (locator abutments in the unsplinted and Hader bar with Vertix attachments placed distally in the splinted variant) were also designed. The denture material was PEEK (Polyetheretherketone), and the method used to analyze patient-specific 3D X-ray scans was 3D QCT/FEA (three-dimensional quantitative computed tomography-based finite element analysis). Loading was divided into three load cases, in the frontal region (both incisors of the denture) and distal region (both molars and first premolar of the denture). The forces applied were 150 N with an oblique component with a buccal inclination of 35° in the frontal region, and 600 N with a buccal inclination of 5° (molars) or solely vertical (premolar) in the distal region. The model with locator abutments showed higher stresses in all load cases in both analyzed implant variants and in the maxilla. The differences in stress distribution between the splinted and unsplinted variants were more significant in the distal region. According to the results of the present study, the amount of stress in bone tissue and dental implant parts was smaller in the splinted, bar-retained variant. The findings of this study can be useful in selecting the appropriate prosthetic design for implant-supported maxillary overdentures with partial palatal coverage.

This article presents woven carbon-fiber-reinforced polymer (CFRP) tubular mesh used as a reinforcement on the inner surface of hollow beams made of high-performance concrete (HPC). The tubular mesh was designed to serve as both the tensile and shear reinforcement of hollow beams intended for the construction of small self-supporting structures that could be assembled without mechanization. The reinforcement was prepared with a tri-axial weaving machine from carbon filament yarn and was homogenized using epoxy resin. The interaction of the composite reinforcement with the cementitious matrix was investigated, and the surface of the reinforcement was modified using silica sand and polyvinyl alcohol (PVA) fibers to improve cohesion. The sand coating enhanced bond strength, resulting in the significantly higher flexural strength of the hollow beam of 128%. The PVA fibers had a lower positive effect of 64% on the flexural strength but improved the ductility of the beam. Individual beams were connected by gluing steel parts directly inside the hollow core of the HPC beam. This procedure provides good interaction between the CFRP reinforcement and the glued steel insert and allows for the fast and simple assembly of structures. The weaving of additional layers of the CFRP reinforcement around HPC beams was also explored. A small structure made of the hollow HPC beams with inner composite reinforcement was constructed to demonstrate the possibilities of the presented technology.

Seventeen collections of the genus Parasola from Croatia were studied with integrative taxonomic methods. Parasola papillatospora is described as a new species, based on morphology and multigene phylogenetic analyses. Its basidiomata were growing on soil in temperate deciduous forests (Quercus petraea, Fagus sylvatica, and Carpinus betulus) on two different localities in NW Croatia. Based on publicly available molecular data, the species is also recorded in Hungary. The most distinctive morphological features of the new species are the characteristics of its basidiospores, (1) the papillate apex and (2) central germ pore (both present in most spores), as well as (3) a highly variable shape. A morphological description of P. papillatospora is accompanied by colour photographs of basidiomata, basidiospores, and cystidia. In this study, a total of 64 DNA sequences from 17 specimens belonging to 10 Parasola species were newly generated. As a result of Bayesian Inference and Maximum Likelihood phylogenetic analyses of the concatenated ITS, LSU, tef-1α, and β-tub gene alignment of Parasola species, P. papillatospora was resolved as an independent clade, a sister to the clade comprising the P. plicatilis species complex. Eight Parasola species (P. auricoma, P. crataegi, P. cuniculorum, P. kuehneri, P. malakandensis, P. megasperma, P. nudiceps, P. plicatilis-similis) are reported for the first time for Croatia and P. malakandensis also for Europe. Colour photographs of basidiomata are provided for all Parasola species new to Croatia except P. kuehneri.

Integrative taxonomic studies of macrofungal diversity in the Brijuni National Park (Istria County, Croatia) led to the discovery of a second species of Inocybe (Agaricales, Inocybaceae) new to science. Inocybe istriaca sp. nov. is described on the basis of morphological, ecological, and multigene phylogenetic analyses, and its placement within the family Inocybaceae is discussed. The combination of most important morphological characters that distinguish I. istriaca from the other similar Inocybe species are smooth, (sub)amygdaliform, (sub)phaseoliform, or ellipsoid basidiospores (ca. 8.5–12 × 5–7 μm), large basidia (36–45 × 9–15 μm), mostly (sub)fusiform and weakly thick-walled (up to 1.5 μm) metuloid pleurocystidia, and lamellar edge and stipe apex partially covered by a dark resinous substance. The species was collected on the edge of grassland and Mediterranean evergreen holm oak (Quercus ilex) forest. In this study, a total of 14 DNA sequences from four Inocybe species were generated. Two-gene (ITS, LSU) and four-gene (ITS, LSU, rpb2, tef1) phylogenetic analyses confirmed the status of I. istriaca as an independent species.

About a century after the first finding in northern Vietnam (1908), Coprinus leucostictus is rediscovered on 12 localities in southern India and southern to southeastern China, growing in evergreen subtropical or tropical forests. It is morphologically a rather unique species with coprinoid basidiomata, strongly branched and diverticulate veil hyphae, and a hymeniderm pileipellis. The BLAST search of ITS and tef-1α sequences showed its close relationship to Hausknechtia floriformis, which is not clear based on morphological characters. Multigene phylogenetic analysis of a concatenated dataset of ITS, LSU, tef-1α, and β-tubulin sequences, revealed C. leucostictus and H. floriformis as separate, but sister species. Molecular phylogenetic relationships within the family Psathyrellaceae (including 17 genera) are presented in the phylogram. The genera Hausknechtia and Candolleomyces formed two well-supported lineages and were recovered as a monophyletic group. A total of 27 sequences from the genus Hausknechtia were newly generated in this study. Coprinus leucostictus is combined as Hausknechtia leucosticta, its epitype is designated, and the hitherto monotypic genus Hausknechtia is emended. A detailed morphological description of H. leucosticta supplemented with colour photographs and line drawings is provided.

Titanium dioxide (TiO2) is used as a UV light absorber to protect wood matter from photodegradation. In this paper, interactions between wood and TiO2 coating are studied, and the efficiency of the coating is evaluated. For the experiments, two wood species were chosen: beech (Fagus sylvatica) and pine (Pinus sylvestris). Molecular and physical modifications in coated and uncoated wood exposed to UV radiation were investigated with Fourier transform infrared spectroscopy with attenuated total reflectance (FTIR-ATR) and transmission electron microscopy (TEM). UV-VIS spectroscopy was used to describe the absorption of UV light by the TiO2 planar particles chosen for the experiment. It was demonstrated that TiO2 coating protects wood against photodegradation to a limited extent. TEM micrographs showed fissures in the wood matter around clusters of TiO2 particles in beech wood.

The presented paper first discusses possible hypotheses on the relationship between compensation and labor productivity, arguing equiproportionality between the two cannot be considered a viable economic hypothesis. The main part of the analysis focuses on the EU countries, presenting a detailed view of the developments in the past twenty years from the point of view of both nominal and real unit labor costs. It shows that the relationship between compensation and labor productivity varies greatly among the economies and no general conclusions may be drawn. In case of the Czech Republic the estimates show that responsiveness of compensation to productivity is relatively high as compared with the EU panel and the growth of compensation surpasses the growth of productivity in both nominal and real terms as compared with the EU or Germany as a benchmark.

We use the Labor Office data for the regions of the Czech Republic to investigate some of the structural features of the respective labor markets. We build our approach on the matching function of the search model of the labor market. In the paper we show how the regional labor markets differ with respect to vacancies, unemployment, matches between unemployed and vacancies, probability of finding a job and labor market tightness. We also demonstrate how these characteristics evolved over time. We show that the labor markets were really hit the hardest several years after the great recession began to affect the Czech Republic. We go on to estimate the matching function for the respective regional labor markets and show that the sensitivity of the probability of finding a job to the labor market tightness generally increased over time, which we interpret as a positive sign. We set our results in the framework of some of the earlier work which has been done. With all the data and estimates used we are able to pinpoint the most troubled regions as far as the structural features of the labor market are concerned.

A new ectomycorrhizal species was discovered during the first survey of fungal diversity at Brijuni National Park (Croatia), which consists of 14 islands and islets. The National Park is located in the Mediterranean Biogeographical Region, a prominent climate change hot-spot. Inocybe brijunica sp. nov., from sect. Hysterices (Agaricales, Inocybaceae), is described based on morphology and multilocus phylogenetic data. The holotype collection was found at the edge between grassland and Quercus ilex forest with a few planted Pinus pinea trees, on Veli Brijun Island, the largest island of the archipelago. It is easily recognized by a conspicuous orange to orange–red–brown membranaceous surface layer located at or just above the basal part of the stipe. Other distinctive features of I. brijunica are the medium brown, radially fibrillose to rimose pileus; pale to medium brown stipe with fugacious cortina; relatively small, amygdaliform to phaseoliform, and smooth basidiospores, measuring ca. 6.5–9 × 4–5.5 µm; thick-walled, utriform, lageniform or fusiform pleurocystidia (lamprocystidia) with crystals and mostly not yellowing in alkaline solutions; cheilocystidia of two types (lamprocystidia and leptocystidia); and the presence of abundant caulocystidia only in the upper 2–3 mm of the stipe. Phylogenetic reconstruction of a concatenated dataset of the internal transcribed spacer region (ITS), the nuclear 28S rRNA gene (nrLSU), and the second largest subunit of RNA polymerase II (rpb2) resolved I. brijunica and I. glabripes as sister species.

The common trigonometric functions admit generalizations to any higher dimension, the symmetric, antisymmetric and alternating ones. In this paper, we restrict ourselves to three dimensional generalization only, focusing on alternating case in detail. Many specific properties of this new class of special functions useful in applications are studied. Such are the orthogonalities, both the continuous one and the discrete one on the 3D lattice of any density, corresponding discrete and continuous Fourier transforms, and others. Rapidly increasing precision of the interpolation with increasing density of the 3D lattice is shown in an example.

Suitable automorphisms together with complete classification of representations of some algebras can be used to generate some sets of orthogonal polynomials “at no cost”. This is also the case of nonstandard Klimyk-Gavrilik deformation Uq'(so3) which is connected to q-Racah polynomials.

Introduction: Intraosseous mucoepidermoid carcinoma is a relatively rare variant of the histologically identical malignant tumor affecting salivary glands. It is a recently described separate nosological entity with a clearly defined histopathological feature. To date, only hundreds of cases of this disease have been reported in the literature worldwide. According to its typical occurrence this tumor is classified as a primary intraosseous carcinoma of the jaw. Methods: In the present paper, the authors describe two patients with this diagnosis, in both cases with tumors afflicting upper jaw diagnosed and treated at the Department of maxillofacial surgery in Pilsen since the years 2008. The treatment outcomes are evaluated after five-year follow-up. Results: The first patient was treated by the radical surgical procedure and adjuvant cancer therapy. Long-term complete remission was achieved and today the patient is with no evidence of malignant disease. The second patient is of advanced age and with much co-morbidity. For this reason, only radiotherapy was indicated, but without any therapeutic response in terms of tumor regression. The subsequently indicated palliative chemotherapy led to the significant tumor shrinkage. Currently, the patient is in the partial remission of malignant disease, with no evidence of tumor progression or metastases. Conclusion: The pathogenesis of intraosseous mucoepidermoid carcinoma is still not well understood. The diagnosis is based on histological examination performed by experienced pathologist. Immunohistochemical examination seems to be of no benefit for the diagnosis. A squamous cell carcinoma and glandular odontogenic cyst is necessary to be considered in histopathological differential diagnosis. A clinician has to rule out metastasis of salivary mucoepidermoid carcinoma in the jaws. Most intraosseous mucoepidermoid carcinomas are classified as low-grade tumors with the little metastatic potential. The radical resection procedure should be the first choice for the treatment of this cancer. Radiotherapy and chemotherapy are only indicated as an adjuvant therapy, especially in high-grade tumors. Despite its clear malignant nature the intraosseous mucoepidermoid carcinoma is not an aggressive tumor with high mortality.

Aim of the study: To characterize the current population of patients with squamous cell carcinoma of the lip with focus on the biological behavior and prognosis of these tumors. To evaluate the lip cancer treatment at the department of maxillofacial surgery in Pilsen. Methods: The retrospective study included 72 patients with 73 lip squamous cell carcinomas diagnosed and treated within seven years (January 2002 - December 2008). Clinical and demographic parameters were identified and evaluated. Results: Patients mean age was 73.2 ± 9.5 years. Male to female ratio was 2,4:1. The lower lip was affected in 68 cases (93%), upper lip in 5 cases (7%). The persistence of a lip tumor before a medical examination (identified in 55 patients) was on average 7.2 months. T1 tumors were diagnosed in 60 cases (83%), T2 in 12 cases (16%) and T4 in one case (1%). Regional lymph node metastases were not detected at the time of diagnosis in any patient (N0). Histological grading (identified in 54 tumors) was: G1 - 39 tumors (72%), G2 - 13 tumors (24%), G3 - 2 tumors (4%). Histologically verified actinic cheilitis was observed in 15 patients (21%), in one patient the lip cancer had origin in oral lichen planus. Immunodeficiency was detected in four patients (6%). 43 patients had medical record of smoking cigarettes, nine (21%) of them were smokers, 34 (79%) were non-smokers. Synchronous or metachronous non-melanoma skin cancer of the head and neck occurred in 11 patients (15%). Primarily all patients were treated surgically. Follow-up period was on average 48.3 months (median 44.5). Seven patients (10%) developed regional lymph node metastases during the follow-up on average 26.3 months from the time of diagnosis. Distant metastasis was detected in one patient (1,39%) with the terminal stage of disease. Local recurrences were observed in five patients (7%) on average 15 months after the surgery. Oncological therapy was indicated in nine patients (13%). 5 patients died as a consequence of cancer, an average of 15.6 months from the time of diagnosis (mortality 7%). Complete remission of malignant disease was achieved in 92% of patients (in 86% of patients only by the surgery alone). Conclusion: In the Czech Republic a squamous cell carcinoma of the lip is diagnosed most often in the 1st clinical stage. It is a slow growing, well differentiated tumor affecting the lower lip with a low metastatic potential to regional lymph nodes in most cases. Although these tumors are supposed to have a good prognosis, they may have a lethal course even in the cases of small size and well differentiated tumors because of recurrences or metastatic disease. A lymph node involvement may not be detectable at the time of diagnosis. That's why follow-up is necessary for all patients. Screening of premalignant lesions and lip squamous cell carcinomas should be a role for all physicians performing head and neck examination because of a well examinable localization.

The paper presents a quantitative analysis of the possibilities of Sentiment Economic Indicator based on the joint harmonized EU programme of business and consumer surveys to forecast quarterly GDP growths as a result of the publication lag of the data on GDP. We construct ARMAX models in some cases augmented by the GARCH models to capture the relationship between quarterly changes in GDP and the Sentiment Economic Indicator. The models show some forecasting power of the indicator for approximately half the sample. We show that only for some of the models the forecasting power of the ARMAX / GARCH models actually beats that of a simple ARMA model. We also show that the turbulences in 2007–2008 had a detrimental impact on the relationship between the Indicator and GDP. With the use of the results of rolling forecasts we run a panel regression to test whether or not the forecast errors are dependent on the magnitude of the quarterly changes in GDP. In the applied sample we have found out that the forecasting errors are not dependent on this factor.

Consistent and countercyclical economic policies are conditioned on an accurate assessment of the position of an economy within the economic cycle and also on its prediction. The indicators of economic cycles represent a frequently used tool for monitoring and predicting economic cycles. In the paper we present the current practice in this area as it is has evolved over the years at the Ministry ofFinance of the CR. At the same time, we point out the critical issues connected with the construction and interpretation of the indicators both in general sense but especially in the environment of the Czech economy. Finally, we present two composite leading indicators for the Czech economy and assess their prediction capacity in relation to the economic cycle.

The modern combustion engines and their systems are getting more complicated and sophisticated nowadays. It is no more possible to verify their function or actual technical state directly. Thus various methods of indirect diagnostics are being developed more and more rapidly. The on-board diagnostics is being increasingly applied to monitor and measure suitable diagnostic signals during operation, deviations from required or expected values are then recorded. This trend requires the application of completely disassembly-free techniques of measurements and the real-time analyzing of measured figures. This paper presents the results of the research on relation between the starter's starting current and the engine combustion chamber tightness. The experiments were carried out for common four-cylinder engine.

Several techniques are at disposal for production or repair of internal threads. The repair of threads by means of flexible thread inserts and the repair of threads by means of sold thin walled thread inserts belong to the most important ways. The properties of threads repaired using flexible and solid thin-walled thread inserts were experimentally verified and compared. Laboratory comparison of loading capacity of the threads according to observance of specified technological procedures was carried out. Durability and reliability of the repaired threads were verified in operation, while the threads endured long-time variable mechanical and temperature load.

Abrupt and profound swings in economic activity can result in changes in systematic component of risk premia of capital market assets. This can translate into adjustments in risk perception by the market agents, which may lead to significant changes in real investment development. We examine the issue of time-varying systematic risk on a micro level using the capital asset pricing model in an intertemporal setting. We formulate the hypothesis within a bivariate GARCH-in-mean model, which enables us to estimate the time-varying variances and covariances of the respective assets and market returns and thus the time-varying sensitivity to systematic risk. The results of the paper show that the reaction of assets’ sensitivity to systematic risk varies across the sample and the changes were rather temporary. Based on the results, the downturn in economic activity witnessed in 2008 – 2009 should not be a drag on real investment.

We discuss the construction of the Verma basis of the enveloping algebra and of finite dimensional representations of the Lie algebra An. We give an alternate proof of so-called Verma inequalities to the one given in [1] by P. Littelmann.

(so3) is demonstrated. The approach presented here is successful in other cases of quantum algebras and superalgebras.

This work deals with the modulator of a matrix converter and its communication with the superset regulator. A switching algorithm is briefly introduced. The input voltage measurement method is presented. In the last part of the paper, the testing of communication between the superset regulator and the modulator in FPGA technology are also presented.

The adjoint representations of several small dimensional Lie algebras on their universal enveloping algebras are explicitly decomposed. It is shown that commutants of raising operators are generated as polynomials in several basic elements. The explicit form of these elements is given and the general method for obtaining these elements is described.