1,385 research outputs found

    Characterizations for the fractional integral operators in generalized Morrey spaces on Carnot groups

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    WOS: 000418838500011In this paper, we study the boundedness of the fractional integral operator I (alpha) on Carnot group G in the generalized Morrey spaces M (p, phi) (G). We shall give a characterization for the strong and weak type boundedness of I (alpha) on the generalized Morrey spaces, respectively. As applications of the properties of the fundamental solution of sub-Laplacian L on G, we prove two Sobolev-Stein embedding theorems on generalized Morrey spaces in the Carnot group setting.grant of the Presidium of the Azerbaijan National Academy of ScienceAzerbaijan National Academy of Sciences (ANAS); Ahi Evran University Scientific Research ProjectAhi Evran University [FEF.A3.16.024]The research of V. S. Guliyev was supported in part by the 2015 grant of the Presidium of the Azerbaijan National Academy of Science and by the Ahi Evran University Scientific Research Project under grant FEF.A3.16.024)

    Revealing dynamics, communities and criticality from data

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    Complex systems such as ecological communities and neuron networks are essential parts of our everyday lives. These systems are composed of units which interact through intricate networks. The ability to predict sudden changes in the dynamics of these networks, known as critical transitions, from data is important to avert disastrous consequences of major disruptions. Predicting such changes is a major challenge as it requires forecasting the behaviour for parameter ranges for which no data on the system is available. We address this issue for networks with weak individual interactions and chaotic local dynamics. We do this by building a model network, termed an {}, consisting of the underlying local dynamics and a statistical description of their interactions. We show that behaviour of such networks can be decomposed in terms of an emergent deterministic component and a {} term. Traditionally, such fluctuations are filtered out. However, as we show, they are key to accessing the interaction structure. { We illustrate this approach on synthetic time-series of realistic neuronal interaction networks of the cat cerebral cortex and on experimental multivariate data of optoelectronic oscillators. } We reconstruct the community structure by analysing the stochastic fluctuations generated by the network and predict critical transitions for coupling parameters outside the observed range

    Local differences of the position of the mental foramen

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    The mental foramen has been reported to vary in position in different ethnic groups. Repeated failures during injections and operative procedures involving the mental foramen suggest the presence of local differences in a given population. The aim of the present study was to investigate possible local differences of the mental foramen in Eastern Anatolian individuals in the Turkish population. The present investigation is based on the examination of 70 adult mandibles. The study consisted of three measurements, to include the relations of the mental foramen to the following: 1) the lower teeth; 2) the body of mandible; 3) the mandibular symphysis and posterior border of the ramus of the mandible. The most common position of the foramen was in line with the longitudinal axis of the second premolar tooth (relation IV), at the midpoint of the mandibular body height and at 1/3.5 of the distance from the mandibular symphysis to the posterior border of the ramus. Local differences of the mental foramen may occur in a population. Prior to surgery knowledge of the most common location of the foramen peculiar to a local population may enable effective mental block anaesthesia to be provided. (Folia Morphol 2008; 67: 32-35)

    2000 Families: identifying the research potential of an origins - of migration study

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    Despite extensive recent advances in the empirical and theoretical study of migration, certain critical areas in the analysis of European migration remain relatively underdeveloped both theoretically and empirically. Specifically, we lack studies that both incorporate an origin comparison and trace processes of intergenerational transmission across migrants over multiple generations and incorporating family migration trajectories. This paper outlines the development, data and design of such a study, the 2000 Families study, framed within a theoretical perspective of ?dissimilation? from origins and over generations. We term the study an origins-of-migration study, in that it captures the country of origin, the family origins and potentially the originating causes of migration processes and outcomes. The resulting data comprised nearly 2,000 migrant and non-migrant Turkish families with members across three or more generations, covering. 50,000 individuals. We reflect on the potential of this study for migration research

    A Process‐Based Framework to Characterize and Classify Runoff Events: The Event Typology of Germany

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    This study proposes a new process‐based framework to characterize and classify runoff events of various magnitudes occurring in a wide range of catchments. The framework uses dimensionless indicators that characterize space–time dynamics of precipitation events and their spatial interaction with antecedent catchment states, described as snow cover, distribution of frozen soils, and soil moisture content. A rigorous uncertainty analysis showed that the developed indicators are robust and regionally consistent. Relying on covariance‐ and ratio‐based indicators leads to reduced classification uncertainty compared to commonly used (event‐based) indicators based on absolute values of metrics such as duration, volume, and intensity of precipitation events. The event typology derived from the proposed framework is able to stratify events that exhibit distinct hydrograph dynamics even if streamflow is not directly used for classification. The derived typology is therefore able to capture first‐order controls of event runoff response in a wide variety of catchments. Application of this typology to about 180,000 runoff events observed in 392 German catchments revealed six distinct regions with homogeneous event type frequency that match well regions with similar behavior in terms of runoff response identified in Germany. The detected seasonal pattern of event type occurrence is regionally consistent and agrees well with the seasonality of hydroclimatic conditions. The proposed framework can be a useful tool for comparative analyses of regional differences and similarities of runoff generation processes at catchment scale and their possible spatial and temporal evolution

    A REVIEW ON SUN-PROTECTIVE CLOTHING

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    The sun is ultraviolet (UV) radiation source. Damage to skin cells from ultraviolet exposure can lead to the carcinogenic problem such as skin cancer. Clothes and protective agents in cosmetics could be supplied personal protection from UV radiations. The assessment of UV transmittance of clothing and the determination of the UV protection factor (UPF) is crucial for skin cancer. The pathogenesis of epithelial skin cancers causes effects in the human bodies such as squamous cell carcinoma (SCC) and basal cell carcinoma (BCC) and malignant melanoma (MM) could be prevented by suitable UV-protective clothing. UV protective clothes have some characteristic properties such as fiber type, yarn construction, fabric construction, fabric weight and thickness, coloring process, standards and presence of UV radiation absorbers. These parameters have a direct effect on the effectiveness of sun protection and consequently the risk of skin cancer. The increasing of skin cancer rates in past several decades has increased the interest sun-protective clothing. A lot of work has been done around the world on about sun-protective clothes. The aims of this review are to explain properties, standards, and applications of sun-protective clothes, change people's sun behavior and raise awareness for the use of adequate sun-protective clothing

    Determination of Antioxidant and Anti-Melanogenesis Activities of Indonesian Lai, Durio kutejensis [Bombacaceae (Hassk) Becc] Fruit Extract

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    Purpose: To investigate the antioxidant and anti-melanogenesis activities of Durio kutejensis [Bombacaceae (Hassk.) Becc] fruit extract.Methods: The fruit flesh of D. kutejensis was extracted successively with n-hexane, ethyl acetate/EtOAc, and ethanol/EtOH at room temperature repeatedly. The extracts were concentrated in vacuo to yield their residues. Antioxidant properties were analyzed by 2,2'-azino-bis(3- ethylbenzothiazoline-6-sulphonic acid) (ABTS, superoxide dismutase (SOD)-like activity, 2,2-diphenyl-1- picrylhydrazyl (DPPH), and oxygen radical absorbance capacity (ORAC) while anti-melanogensis activity was evaluated by tyrosinase enzyme activity and B16 melanoma cell assays (melanin inhibition and cytotoxicity).Results: The extract (200 Όg/mL) showed melanin inhibition by inhibiting melanin formation in B16 melanoma cell by 47 % without cytotoxicity but did not inhibit tyrosinase enzyme activity. The extract (1 - 1000 Όg/mL) also exhibited some level of antioxidant activity including ORAC (0.04 ± 0.00 Όmol TE/mg at 950 Όg/mL), ABTS (1.0 ± 0.2 % at 100.8 Όg/mL), SOD (IC50, 76.00 ± 14.6 Όg/mL, and DPPH (21.5 ± 0.7 % at 97.39 Όg/mL extract concentration).Conclusion: The fruit extract of Durio kutejensis has antioxidant properties with a potential for treating hyperpigmentation and for use as a skin-lightening agent.Keywords: Durio kutejensis, Antioxidant, Anti-melanogenesis, B16 Melanoma cell Hyperpigmentation, Skin-lightening agen

    Hydrocarbon productivities in different Botryococcus strains: comparative methods in product quantification

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    Six different strains of the green microalgae Botryococcus belonging to the A-race or B-race, accumulating alkadiene or botryococcene hydrocarbons, respectively, were compared for biomass and hydrocarbon productivities. Biomass productivity was assessed gravimetrically upon strain growth in the laboratory under defined conditions. Hydrocarbon productivities were measured by three different and independent experimental approaches, including density equilibrium of the intact cells and micro-colonies, spectrophotometric analysis of hydrocarbon extracts, and gravimetric quantitation of eluted hydrocarbons. All three hydrocarbon-quantitation methods yielded similar results for each of the strains examined. The B-race microalgae Botryococcus braunii var. Showa and Kawaguchi-1 constitutively accumulated botryococcene hydrocarbons equivalent to 30% and 20%, respectively, of their overall biomass. The A-race microalgae Botryococcus braunii, varieties Yamanaka, UTEX 2441 and UTEX LB572 constitutively accumulated alkadiene hydrocarbons ranging from 14% to 13% and 10% of their overall biomass, respectively. Botryococcus sudeticus (UTEX 2629), a morphologically different green microalga, had the lowest hydrocarbon accumulation, equal to about 3% of its overall biomass. Results validate the density equilibrium and spectrophotometric analysis methods in the quantitation of botryococcene-type hydrocarbons. These analytical advances will serve in the screening and selection of B. braunii and of other microalgae in efforts to identify those having a high hydrocarbon content for use in commercial applications
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