Let $\Lambda = \{\lambda_{k}\}$ denote a sequence of complex numbers and assume that that the counting function $#\{\lambda_{k} \in \Lambda : | \lambda_{k}| < T\} =O(T^{n})$ for some integer $n$. From Hadamard's theorem, we can construct an entire function $f$ of order at most $n$ such that $\Lambda$ is the divisor $f$. In this article we prove, under reasonably general conditions, that the superzeta function $\Z_{f}(s,z)$ associated to $\Lambda$ admits a meromorphic continuation. Furthermore, we describe the relation between the regularized product of the sequence $z-\Lambda$ and the function $f$ as constructed as a Weierstrass product. In the case $f$ admits a Dirichlet series expansion in some right half-plane, we derive the meromorphic continuation in $s$ of $\Z_{f}(s,z)$ as an integral transform of $f'/f$. We apply these results to obtain superzeta product evaluations of Selberg zeta function associated to finite volume hyperbolic manifolds with cusps.

Molecular confirmation of the process of differentiation of meristematic tissue of plants is primarily based on histomorphological characterization of the tissues carrying these processes. For perennial plants – fruit trees, the knowledge of these processes is important to define runtime type and pomotechnical treatments but also to identify the genes responsible for determination of the apices into a generative phase of differentiation. Which apex extraction techniques will be applied depends on the structure of buds, i.e. whether an apex differentiates only into generative elements – pure flower buds, or the differentiation goes into two directions: differentiation of leaf primordium with axillar meristematic dome and differentiation of generative elements of flowers in the peak or lateral zone of an apex – mixed buds. The fruit trees of the genus Prunus have purely flower buds and for this purpose the whole apex is taken, between protection – cover leaves, on lateral positions of all collateral buds at shoot nodes. The moment of initiation of determination and the dynamics of differentiation of generative buds are different at different type of shoots on a tree. It is therefore necessary to know the shoots growth cessation time which is in correlation with apex determination. Fruit trees of the genus Prunus are ending the growth of shoots by rejection of shoot peaks, and the cast away time depends on the type, length and the position of shoots.

Este trabalho foi pensado a partir da necessidade da inclusao do texto literario como elemento motivacional nas aulas de lingua estrangeira, como tambem, em uma efetiva aplicabilidade do ensino de literatura. Com essa investigacao, objetivamos pesquisar se os professores de lingua espanhola usam o texto literario em sua pratica de ensino para a formacao dos alunos. Nosso trabalho caracteriza-se uma pesquisa qualitativa e e um estudo de caso, pois analisamos e nos aprofundamos na experiencia vivenciada. Para a nossa fundamentacao nos apoiamos nas contribuicoes de Albaladejo (2004), Aragao (2006), Fillola (2002), Santos (2007) e Juarez (1998), principalmente no que concerne ao uso do texto literario. Em face do exposto, pensamos atraves da nossa investigacao, oferecer relevantes contribuicoes teorico-praticas ao ensino de linguas, em relacao ao uso do texto literario e o ensino de literatura, e, sobretudo na formacao de professores de espanhol.

Aldehyde dehydrogenase 1 (ALDH1) has been proposed as biomarker of stem cells for certain human cancers. ALDH1 expression has been correlated with poor patient outcomes in a variety of malignancies but better patient outcomes in others, and its prognostic significance in malignant melanoma is unclear. Thus, 68 melanoma patients with comprehensive clinical and pathologic follow-up data were used to construct a tissue microarray. A modified histological score (H-score) with a maximum score of 300 was used to quantify immunohistochemical staining for ALDH1. Survival time was defined as the time between diagnosis and melanoma-specific death. Using univariate logistic regression, a low (<80 H-score) ALDH1 score showed 3.7-fold increase in risk for melanoma-specific death within 10 years when compared with high (>80) ALDH1 levels (P=0.017). Odds of MSD were lower by a factor of ~0.9 for each 10-point increase in H-Score. Median survival time was 44.1 months and 180.9 months for patients with low and high ALDH1 expression, respectively. Using multivariate analysis, ALDH1 H-score was found to be an independent prognostic factor. These findings suggest that ALDH1 expression in malignant melanoma has a favorable effect on patient survival. Further study is needed elucidate the function of this enzymatic protein in melanoma progression.

Using a lifting and balancing task, we contrasted two alternative views of planning joint actions: one postulating that joint action involves distinct predictions for self and other, the other postulating that joint action involves coordinated plans between the coactors and reuse of bimanual models. We compared compensatory movements required to keep a tray balanced when 2 participants lifted glasses from each other’s trays at the same time (simultaneous joint action) and when they took turns lifting (sequential joint action). Compared with sequential joint action, simultaneous joint action made it easier to keep the tray balanced. Thus, in keeping with the view that bimanual models are reused for joint action, predicting the timing of their own lifting action helped participants compensate for another person’s lifting action. These results raise the possibility that simultaneous joint actions do not necessarily require distinguishing between one’s own and the coactor’s contributions to the action plan and may afford an agent-neutral stance.

Motivated by applications in cancer genomics and following the work of Hajirasouliha and Raphael (WABI 2014), Hujdurović et al. (IEEE TCBB, 2018) introduced the minimum conflict-free row split (MCRS) problem: split each row of a given binary matrix into a bitwise OR of a set of rows so that the resulting matrix corresponds to a perfect phylogeny and has the minimum possible number of rows among all matrices with this property. Hajirasouliha and Raphael also proposed the study of a similar problem, in which the task is to minimize the number of distinct rows of the resulting matrix. Hujdurović et al. proved that both problems are NP-hard, gave a related characterization of transitively orientable graphs, and proposed a polynomial-time heuristic algorithm for the MCRS problem based on coloring cocomparability graphs. We give new, more transparent formulations of the two problems, showing that the problems are equivalent to two optimization problems on branchings in a derived directed acyclic graph. Building on these formulations, we obtain new results on the two problems, including (1) a strengthening of the heuristic by Hujdurović et al. via a new min-max result in digraphs generalizing Dilworth’s theorem, which may be of independent interest; (2) APX-hardness results for both problems; (3) approximation algorithms; and (4) exponential-time algorithms solving the two problems to optimality faster than the naïve brute-force approach. Our work relates to several well-studied notions in combinatorial optimization: chain partitions in partially ordered sets, laminar hypergraphs, and (classical and weighted) colorings of graphs.