Abstract:
purpose: to describe the characteristics of pregnancies complicated by maternal syphilis and fetal death. methods: retrospective descriptive study performed by reviewing the medical records of 48 pregnant women with maternal syphilis and fetal death outcome admitted to hospital geral de nova igua？u, baixada fluminense, state of rio de janeiro, during the period from 2005 to 2008. birth weight >500 g and fetal death documented by death certificate were the inclusion criteria. the following aspects were analyzed: sociodemographic factors, reproductive history, aspects of the current pregnancy, prenatal care, venereal disease research laboratory (vdrl) testing, and other gestational conditions, in addition to syphilis. the fetal deaths were classified as maternal, placental or fetal. percentage, mean, standard deviation (sd), maximum and minimum values were reported. results: the mean maternal age was 22.7 years (sd=0.9 years), and at least 50% of the patients had low educational level. at hospital admission, 68.8% of the subjects were in the third trimester, with a mean gestational age of 29.2 weeks (sd=0.5), and more than 50% were in labor. the vast majority of fetal deaths (93%) occurred before maternal hospitalization. among the patients who received prenatal care (54.2%), 30.8% had no vdrl test, 30.8 and 15.4% had a reactive and non-reactive result, respectively, and none had more than one prenatal vdrl test. at the time of childbirth, most of the mothers (95.8%) carried out vdrl testing. overall, the vdrl titers varied from 1:1 to 1:512, with predominant values >1:4 (91.7%). in 23% of cases other clinical conditions related to fetal death, in addition to syphilis, were found. conclusions: the infection was the main clinically identified cause of fetal death in this patient series. fetal death occurred during the preterm period and in the presence of high titers of maternal infection, suggesting recent syphilis infection.

Abstract:
As the world’s population becomes increasingly urban, efforts to improve the quality
of life among the impoverished must turn to cities. The literature asserts that the
most successful programs in the fight against poverty are those that are implemented
and managed by local community members. Moreover, the personnel in charge of
distributing aid must have: 1) the trust and confidence of the community, 2) experience
with community outreach, 3) a record of disseminating useful information,
and 4) a clear understanding of local cultural traditions. The fire department is an
often overlooked community resource that fulfills these requirements. Within the
city of Chepo, Panama the fire station has successfully by-passed the thick layers of
bureaucracy and is effectively reaching the city’s urban poor. Fire departments in
other cities throughout the Global South might consider emulating the example set
by Chepo.

Abstract:
Fourth-order semilinear parabolic equations of the Cahn--Hilliard-type (01) u_t + \D^2 u = \g u \pm \D (|u|^{p-1}u) in \Omega \times \re_+, are considered in a smooth bounded domain $\O \subset \ren$ with Navier-type boundary conditions on $\p \O$, or $\O = \ren$, where $p>1$ and $\g$ are given real parameters. The sign $``+"$ in the "diffusion term" on the right-hand side means the stable case, while $``-"$ reflects the unstable (blow-up) one, with the simplest, so called limit, canonical model for $\g=0$, (02) u_t + \D^2 u= \pm \D(|u|^{p-1}u) \inA. The following three main problems are studied: (i) for the unstable model (01), with the $- \D (|u|^{p-1}u)$, existence and multiplicity of classic steady states in $\O \subset \ren$ and their global behaviour for large $\g>0$; (ii) for the stable model (02), global existence of smooth solutions $u(x,t)$ in $\ren \times \re_+$ for bounded initial data $u_0(x)$ in the subcritical case $p \le p_{*}= 1 + \frac {4}{(N-2)_+}$; and (iii) for the unstable model (02), a relation between finite time blow-up and structure of regular and singular steady states in the supercritical range. In particular, three distinct families of Type I and II blow-up patterns are introduced in the unstable case.

Abstract:
This paper is devoted to some aspects of well-posedness of the Cauchy problem for a quasilinear degenerate fourth-order parabolic thin film equation u_{t} = -\nabla \cdot(|u|^{n} \nabla\D u) in \ren \times \re_+, \quad u(x,0)=u_0(x) in \ren, where $n>0$ is a fixed exponent, with bounded smooth compactly supported initial data. Dealing with the CP (for, at least, $n \in (0, \frac 32)$) requires introducing classes of infinitely changing sign solutions that are oscillatory close to finite interfaces. The main goal of the paper is to detect proper solutions of the CP for the degenerate TFE--4 by uniformly parabolic analytic $\e$-regularizations at least for values of the parameter $n$ sufficiently close to 0.

Abstract:
As the main problem, the bi-Laplace equation $\Delta^2u=0 (\Delta=D_x^2+D_y^2)$ in a bounded domain $\Omega \subset \re^2$, with inhomogeneous Dirichlet or Navier-type conditions on the smooth boundary $\partial \Omega$ is considered. In addition, there is a finite collection of curves $$\Gamma = \Gamma_1\cup...\cup\Gamma_m \subset \Omega, \quad \mbox{on which we assume homogeneous Dirichlet} \quad u=0,$$ focusing at the origin $0 \in \Omega$ (the analysis would be similar for any other point). This makes the above elliptic problem overdetermined. Possible types of the behaviour of solution $u(x,y)$ at the tip $0$ of such admissible multiple cracks, being a singularity point, are described, on the basis of blow-up scaling techniques and spectral theory of pencils of non self-adjoint operators. Typical types of admissible cracks are shown to be governed by nodal sets of a countable family of harmonic polynomials, which are now represented as pencil eigenfunctions, instead of their classical representation via a standard Sturm--Liouville problem. Eventually, for a fixed admissible crack formation at the origin, this allows us to describe all boundary data, which can generate such a blow-up crack structure. In particular, it is shown how the co-dimension of this data set increases with the number of asymptotically straight-line cracks focusing at 0.

Abstract:
Following the ideas of [AGG11] about Zt x Z2,2-cocyclic Hadamard matrices, we introduce the notion of diagram, which visually represents any set of coboundaries. Diagrams are a very useful tool for the description and the study of paths and intersections, as described in [AGG11]. Then, we will study four different operations on Zt x Z2,2-cocyclic matrices. These operations will be defined on the set of coboundaries defining the matrix, preserve the Hadamard character of the cocyclic matrices, and allow us to obtain new Hadamard matrices from old ones. We split the set of Hadamard matrices into disjoint orbits, define representatives for them and take advantage of this fact to compute them in an easier way than the usual purely exhaustive way.

Abstract:
The p-Laplace equation $$ \n \cdot (|\n u|^n \n u)=0 \whereA n>0, $$ in a bounded domain $\O \subset \re^2$, with inhomogeneous Dirichlet conditions on the smooth boundary $\p \O$ is considered. In addition, there is a finite collection of curves $$\Gamma = \Gamma_1\cup...\cup\Gamma_m \subset \O, \quad \{on which we assume homogeneous Dirichlet boundary conditions} \quad u=0, $$ modeling a multiple crack formation, focusing at the origin $0 \in \O$. This makes the above quasilinear elliptic problem overdetermined. Possible types of the behaviour of solution $u(x,y)$ at the tip 0 of such admissible multiple cracks, being a "singularity" point, are described, on the basis of blow-up scaling techniques and a "nonlinear eigenvalue problem". Typical types of admissible cracks are shown to be governed by nodal sets of a countable family of nonlinear eigenfunctions, which are obtained via branching from harmonic polynomials that occur for $n=0$. Using a combination of analytic and numerical methods, saddle-node bifurcations in $n$ are shown to occur for those nonlinear eigenvalues/eigenfunctions.

Abstract:
A characterization of $\mathbb{Z} _t \times \mathbb{Z}_2^2$-cocyclic Hadamard matrices is described, depending on the notions of {\em distributions}, {\em ingredients} and {\em recipes}. In particular, these notions lead to the establishment of some bounds on the number and distribution of 2-coboundaries over $\mathbb{Z}_t \times \mathbb{Z} _2^2$ to use and the way in which they have to be combined in order to obtain a $\mathbb{Z} _t \times \mathbb{Z}_2^2$-cocyclic Hadamard matrix. Exhaustive searches have been performed, so that the table in p. 132 in [4] is corrected and completed. Furthermore, we identify four different operations on the set of coboundaries defining $\mathbb{Z} _t \times \mathbb{Z}_2^2$-cocyclic matrices, which preserve orthogonality. We split the set of Hadamard matrices into disjoint orbits, define representatives for them and take advantage of this fact to compute them in an easier way than the usual purely exhaustive way, in terms of {\em diagrams}. Let ${\cal H}$ be the set of cocyclic Hadamard matrices over $\mathbb{Z}_t \times \mathbb{Z}_2^2$ having a symmetric diagram. We also prove that the set of Williamson type matrices is a subset of ${\cal H}$ of size $\frac{|{\cal H}|}{t}$.

Abstract:
Let $P\subset\mathbb{R}^{2}$ be a set of $n$ points. In this paper we show two new algorithms, one to compute the number of triangulations of $P$, and one to compute the number of pseudo-triangulations of $P$. We show that our algorithms run in time $O^{*}(t(P))$ and $O^{*}(pt(P))$ respectively, where $t(P)$ and $pt(P)$ are the largest number of triangulation paths (T-paths) and pseudo-triangulations paths (PT-paths), respectively, that the algorithms encounter during their execution. Moreover, we show that $t(P) = O^{*}(9^{n})$, which is the first non-trivial bound on $t(P)$ to be known. While there already are algorithms that count triangulations in $O^{*}\left(2^n\right)$, and $O^{*}\left(3.1414^{n}\right)$, there are sets of points where the number of T-paths is $O(2^{n})$. In such cases the algorithm herein presented could potentially be faster. Furthermore, it is not clear whether the already-known algorithms can be modified to count pseudo-triangulations so that their running times remain $O^{*}(c^n)$, for some small constant $c\in\mathbb{R}$. Therefore, for counting pseudo-triangulations (and possibly other similar structures) our approach seems better.

Abstract:
ResumoO potássio é um dos nutrientes mais abundantes no citoplasma das células vegetais, e sua alta contribui o no metabolismo das plantas está relacionada ao controle osmótico das células e à ativa o de inúmeras enzimas. Sendo de conhecimento que a produ o e manuten o da qualidade pós-colheita de sementes, frutos e hortali as depende da boa nutri o potássica, o presente trabalho teve por objetivo avaliar o efeito de doses de potássio na produ o e qualidade pós-colheita de escarola. A escarola, variedade Malan, foi cultivada em vasos com capacidade de 10 kg de solo, em casa de vegeta o, na Fazenda Experimental Lajeado, Departamento de Produ o Vegetal/Horticultura da FCA-UNESP, Botucatu-SP. Os tratamentos consistiram em cinco doses de potássio, correspondentes a 0, 75, 150, 300 e 600 kg ha-1 de K2O, aplicadas 1/3 no plantio e o restante em três coberturas (8, 16 e 28 dias após o transplante). Por ocasi o do transplante, aplicou-se a aduba o nitrogenada e fosfatada recomendadas para a cultura. Aos 35 dias após o transplante, as plantas foram colhidas e se efetuaram as avalia es de diametro de cabe a, massa fresca e área foliar. Ainda utilizando plantas frescas, determinou-se a atividade das enzimas polifenol oxidase e peroxidase. Em plantas secas, em estufa a 60°C por 72 h, foram determinadas a massa seca, o teor de K no tecido e o acúmulo total de proteínas. De maneira geral, a aplica o de 150 kg ha-1 de K2O, correspondente à dose recomendada pelos boletins de aduba o para a escarola, resultou em máxima produ o e qualidade pós-colheita, n o respondendo a doses mais elevadas.AbstractPotassium is one of the nutrients that is present in higher levels in the cytoplasm of plant cells, and its contribution in plant metabolism is related to cell osmotic regulation and the activation of many enzymes. Given the knowledge that production and post-harvest quality maintenance of seeds, fruit and vegetables are a consequence of good potassium nutrition, our research focused on assessing the effect of potassium rates in production and post-harvest quality of endive. The endive, variety Malan, was cultivated in pots with soil mass of 10 kg each, in a greenhouse, at Fazenda Experimental Lajeado, Department of Crop Science/Horticulture of FCA-UNESP, Botucatu-SP. The treatments were five potassium rates, corresponding to 0, 75, 150, 300 and 600 kg ha-1 of K2O, with 1/3 being applied at plant sow and the other 2/3 in three cover applications (8, 16 and 28 days after plant sow). At the moment of plant sow, the recommended crop fertilization of nitrogen and phos