Let D be a Cd q-convex intersection, d > 2, 0 6 q 6 n − 1, in a complex manifold X of complex dimension n, n > 2, and let E be a holomorphic vector bundle of rank N over X. In this paper, Ck-estimates, k = 2, 3, . . . ,1, for solutions to the -equation with small loss of smoothness are obtained for E-valued (0, s)-forms on D when n − q 6 s 6 n. In addition, we solve the -equation with a support condition in Ck-spaces. More precisely, we prove that for a -closed form f in Ck 0,q(X \ D,E), 1 6 q 6 n − 2, n > 3, with compact support and for " with 0 < " < 1 there exists a form u in Ck−ε 0,q−1(X \ D,E) with compact support such that u = f in X \ D. Applications are given for a separation theorem of Andreotti-Vesentini type in Ck-setting and for the solvability of the -equation for currents., Shaban Khidr, Osama Abdelkader., and Seznam literatury
The effect of β3-adrenoceptor (β3-AR) agonists on adipocytes treated or not tr eated with signaling modulators has not been sufficiently elucidated. Using rat epididymal adipocytes (adipocytes) labeled with [ 32 P]orthophosphate, we found that treatment with the selective β3-AR agonist CL316243 (CL; 1 μ M) induces phosphatidylinositol (PI) 3,4,5-triphosphate (PI[3,4,5]P3) production and that this response is inhibited by adenosine deaminase (ADA, an adenosine -degrading enzyme; 2 U/ml), pertussis toxin (PTX, an inactivator of inhibitory guanine-nucleotide-binding protein; 1 μ g/ml), or wortmannin (WT, a PI -kinase inhibitor; 3 μ M). The results showed that CL induced PI(3,4,5)P 3 production in intact adipocytes and that this production was affected by signaling modulators. Taken together, our findings indicate that CL produces PI(3,4,5)P3 in an ADA-sensitive, PTX-sensitive, or WT-sensitive manner and will advance understanding of the effect of β3-AR agonists on adipocytes., Y. Ohsaka, Y. Nomura., and Obsahuje bibliografii
A cladistic analysis of the species of Sericania Motschulsky, 1860, was executed using fifty-six morphological characters of adults. The monophyly of the genus is supported by the phylogenetic trees generated. Among the three major lineages indicated by the strict consensus tree the East Asian Sericania fuscolineata lineage represents the genus Sericania as defined "originally" and adopted by subsequent authors. The second, the clade Sericania nepalensis group + Sericania sp. 2, is a sister group to the S. fuscolineata clade. Both constitute a sister group to the third major lineage, the Sericania kashmirensis clade, which is endemic in the drier North-West Himalaya where it is the most diverse monophyletic group of Sericini. Provided that the stem species of the S. kashmirensis clade was xerophilous, the origin of this clade can not predate the early Miocene. Based on paleoclimatical and geological data, two competing hypotheses are proposed to explain the evolution of the xerophilous Sericania lineage: (a) a basal splitting within Sericania occurred because of the altitudinal and climatic barrier posed by the Himalaya, which separated the xerophilous lineage in the north (Tibet) from the hygrophilous lineage in the south-east (S slope of Himalaya/ Tibet), or (b) it was a consequence of the increase in the climatic east-west contrast along the southern slope of the Himalaya, which strengthened with the onset of monsoons 8 Ma ago.
A phylogeny of fifty-eight cockchafer species belonging to the genus Amphimallon Berthold, 1827 is proposed, based on sixty-five morphological characters. The cladistic analysis provides seventy-two equally parsimonious trees. The genus Amphimallon is redefined and species-groups are introduced and defined: A. pini-group (seven species), A. vernale-group (five species), A. solstitiale-group (seven species), A. arianae-group (two species), A. peropacum-group (one species), A. fuscum-group (eleven species), A. naceyroi-group (seven species), A. majale group (five species), A. lusitanicum-group (six species). Other species previously placed in Amphimallon are considered species incertae sedis in this paper: amphibolum Peyerimhoff, 1949, and a monophyletic group composed of six North African species: altifrons Baraud, 1971, julieni Baraud, 1972, melillanum Baraud, 1972, scutellare Lucas, 1846, subcristatum Fairmaire, 1879, subparallelum Escalera, 1913. Four new Amphimallon species are described: A. adanense sp. n. from Turkey, A. maniense sp. n. from Greece, A. jeannae sp. n. and A. safiense sp. n. from Morocco. The following taxonomic conclusions are proposed: A. seidlitzi Brenske, 1891 = A. trisinuatum Reitter, 1902 syn. n.; Amphimallon jeannei (Baraud, 1971) comb. n.; Miltotrogus caucasicus Gyllenhal, 1817 comb. n.; Amphimallon vernale (Brullé, 1832) stat. n.; A. furvum (Germar, 1817) stat. n.; A. javeti Stierlin, 1864 stat. n.
The logical foundations of processes handling uncertainty in information use some classes of algebras as algebraic semantics. Bounded residuated lattice ordered monoids (Rl-monoids) are common generalizations of BL-algebras, i.e., algebras of the propositional basic fuzzy logic, and Heyting algebras, i.e., algebras of the propositional intuitionistic logic. From the point of view of uncertain information, sets of provable formulas in inference systems could be described by fuzzy filters of the corresponding algebras. In the paper we investigate implicative, positive implicative, Boolean and fantastic fuzzy filters of bounded Rl-monoids.
The GAIA satellite is scheduled for launch in 2010. GAIA will observe spectral data of about 1 billion celestial objects. Part of the preparation of the GAIA mission is the choice of an efficient classification method to classify the observed objects automatically as stars, double stars, quasars or other objects. For this reason, there have been two blind testing experiments on simulated data. In this paper, the blind testing procedure is described as well as the results of a cross-validation experiment to choose a good classifier from a broad class of methods, comprising, e.g., the support vector machine, neural networks, nearest neighbor methods, classification trees and random forests. Because of a lack of information about their nature, no outliers ("other objects"-class) have been simulated. A new strategy to identify outliers based on only "clean" training data independent of the chosen classification method is proposed.
Y. Euh, J. Park and K. Sekigawa were the first authors who defined the concept of a weakly Einstein Riemannian manifold as a modification of that of an Einstein Riemannian manifold. The defining formula is expressed in terms of the Riemannian scalar invariants of degree two. This concept was inspired by that of a super-Einstein manifold introduced earlier by A. Gray and T. J. Willmore in the context of mean-value theorems in Riemannian geometry. The dimension $4$ is the most interesting case, where each Einstein space is weakly Einstein. The original authors gave two examples of homogeneous weakly Einstein manifolds (depending on one, or two parameters, respectively) which are not Einstein. The goal of this paper is to prove that these examples are the only existing examples. We use, for this purpose, the classification of $4$-dimensional homogeneous Riemannian manifolds given by L. Bérard Bergery and, also, the basic method and many explicit formulas from our previous article with different topic published in Czechoslovak Math. J. in 2008. We also use Mathematica 7.0 to organize better the tedious routine calculations. The problem of existence of non-homogeneous weakly Einstein spaces in dimension $4$ which are not Einstein remains still unsolved.
A Lie algebra $L$ is called 2-step nilpotent if $L$ is not abelian and $[L, L]$ lies in the center of $L$. 2-step nilpotent Lie algebras are useful in the study of some geometric problems, and their classification has been an important problem in Lie theory. In this paper, we give a classification of 2-step nilpotent Lie algebras of dimension 9 with 2-dimensional center., Ren Bin, Zhu Lin Sheng., and Obsahuje bibliografii
The property of being a D’Atri space (i.e., a space with volume-preserving symmetries) is equivalent to the infinite number of curvature identities called the odd Ledger conditions. In particular, a Riemannian manifold $(M,g)$ satisfying the first odd Ledger condition is said to be of type $\mathcal {A}$. The classification of all 3-dimensional D’Atri spaces is well-known. All of them are locally naturally reductive. The first attempts to classify all 4-dimensional homogeneous D’Atri spaces were done in the papers by Podesta-Spiro and Bueken-Vanhecke (which are mutually complementary). The authors started with the corresponding classification of all spaces of type $\mathcal {A}$, but this classification was incomplete. Here we present the complete classification of all homogeneous spaces of type $\mathcal {A}$ in a simple and explicit form and, as a consequence, we prove correctly that all homogeneous 4-dimensional D’Atri spaces are locally naturally reductive.
When dealing with the curse of dimensionality (small sample size with many dimensions), feature selection is an important preprocessing strategy for the analysis of biomedical data. This issue is particularly germane to the classification of high-dimensional class-labeled biomedical spectra as is often acquired from magnetic resonance and infrared spectrometers. A technique is presented that stochastically selects feature subsets with varying cardinality for automated discrimination using two types of neural network classifiers. The results are benchmarked against classifiers using the entire feature set with and without averaging. Stochastic feature subset selection had significantly fewer misclassifications than either of the benchmarks.