Mixed multiplicities and the minimal number of generator of modules

Let (R, m) be a d-dimensional Noetherian local ring. In this work we prove that the mixed Buchsbaum-Rim multiplicity for a finite family of R-submodules of R(p) of finite colength coincides with the Buchsbaum-Rim multiplicity of the module generated by a suitable superficial sequence, that is, we generalize for modules the well-known Risler-Teissier theorem. As a consequence, we give a new proof of a generalization for modules of the fundamental Rees` mixed Multiplicity theorem, which was first proved by Kirby and Rees in (1994, [8]). We use the above result to give an upper bound for the minimal number of generators of a finite colength R-submodule of R(p) in terms of mixed multiplicities for modules, which generalize a similar bound obtained by Cruz and Verma in (2000, [5]) for m-primary ideals. (C) 2009 Elsevier B.V. All rights reserved.

Beam Energy Dependence Of Moments Of The Net-charge Multiplicity Distributions In Au+au Collisions At Rhic.

We report the first measurements of the moments--mean (M), variance (σ(2)), skewness (S), and kurtosis (κ)--of the net-charge multiplicity distributions at midrapidity in Au+Au collisions at seven energies, ranging from sqrt[sNN]=7.7 to 200 GeV, as a part of the Beam Energy Scan program at RHIC. The moments are related to the thermodynamic susceptibilities of net charge, and are sensitive to the location of the QCD critical point. We compare the products of the moments, σ(2)/M, Sσ, and κσ(2), with the expectations from Poisson and negative binomial distributions (NBDs). The Sσ values deviate from the Poisson baseline and are close to the NBD baseline, while the κσ(2) values tend to lie between the two. Within the present uncertainties, our data do not show nonmonotonic behavior as a function of collision energy. These measurements provide a valuable tool to extract the freeze-out parameters in heavy-ion collisions by comparing with theoretical models.

SOME PROPERTIES OF THE MULTIPLICITY SEQUENCE FOR ARBITRARY IDEALS

In this work we prove that the Achilles-Manaresi multiplicity sequence, like the classical Hilbert-Samuel multiplicity, is additive with respect to the exact sequence of modules. We also prove the associativity formula for his mulitplicity sequence. As a consequence, we give new proofs for two results already known. First, the Achilles-Manaresi multiplicity sequence is an invariant up to reduction, a result first proved by Ciuperca. Second, I subset of J is a reduction of (J,M) if and only if c(0)(I(p), M(p)) = c(0)(J(p), M(p)) for all p is an element of Spec(A), a result first proved by Flenner and Manaresi.

Charged hadron multiplicity fluctuations in Au+Au and Cu+Cu collisions from root S(NN) = 22.5 to 200 GeV

A comprehensive survey of event-by-event fluctuations of charged hadron multiplicity in relativistic heavy ions is presented. The survey covers Au+Au collisions at s(NN)=62.4 and 200 GeV, and Cu+Cu collisions at s(NN)=22.5,62.4, and 200 GeV. Fluctuations are measured as a function of collision centrality, transverse momentum range, and charge sign. After correcting for nondynamical fluctuations due to fluctuations in the collision geometry within a centrality bin, the remaining dynamical fluctuations expressed as the variance normalized by the mean tend to decrease with increasing centrality. The dynamical fluctuations are consistent with or below the expectation from a superposition of participant nucleon-nucleon collisions based upon p+p data, indicating that this dataset does not exhibit evidence of critical behavior in terms of the compressibility of the system. A comparison of the data with a model where hadrons are independently emitted from a number of hadron clusters suggests that the mean number of hadrons per cluster is small in heavy ion collisions.

Higher Moments of Net Proton Multiplicity Distributions at RHIC

200 GeV corresponding to baryon chemical potentials (mu(B)) between 200 and 20 MeV. Our measurements of the products kappa sigma(2) and S sigma, which can be related to theoretical calculations sensitive to baryon number susceptibilities and long-range correlations, are constant as functions of collision centrality. We compare these products with results from lattice QCD and various models without a critical point and study the root s(NN) dependence of kappa sigma(2). From the measurements at the three beam energies, we find no evidence for a critical point in the QCD phase diagram for mu(B) below 200 MeV.

Growth of Long Range Forward-Backward Multiplicity Correlations with Centrality in Au plus Au Collisions at root s(NN)=200 GeV

Forward-backward multiplicity correlation strengths have been measured with the STAR detector for Au + Au and p + p collisions at root s(NN) = 200 GeV. Strong short- and long-range correlations (LRC) are seen in central Au + Au collisions. The magnitude of these correlations decrease with decreasing centrality until only short-range correlations are observed in peripheral Au + Au collisions. Both the dual parton model (DPM) and the color glass condensate (CGC) predict the existence of the long-range correlations. In the DPM, the fluctuation in the number of elementary (parton) inelastic collisions produces the LRC. In the CGC, longitudinal color flux tubes generate the LRC. The data are in qualitative agreement with the predictions of the DPM and indicate the presence of multiple parton interactions.

A Comparison of Rates of Change in Neuroretinal Rim Area and Retinal Nerve Fiber Layer Thickness in Progressive Glaucoma

PURPOSE. To evaluate and compare rates of change in neuro-retinal rim area (RA) and retinal nerve fiber layer thickness (RNFLT) measurements in glaucoma patients, those with suspected glaucoma, and normal subjects observed over time. METHODS. In this observational cohort study, patients recruited from two longitudinal studies (Diagnostic Innovations in Glaucoma Study-DIGS and African Descent and Evaluation Study-ADAGES) were observed with standard achromatic perimetry (SAP), optic disc stereophotographs, confocal scanning laser ophthalmoscopy (HRT-3; Heidelberg Engineering, Heidelberg, Germany), and scanning laser polarimetry (GDx-VCC; Carl Zeiss Meditec, Inc., Dublin, CA). Glaucoma progression was determined by the Guided Progression Analysis software for standard automated perimetry [SAP] and by masked assessment of serial optic disc stereophotographs by expert graders. Random-coefficients models were used to evaluate rates of change in average RNFLT and global RA measurements and their relationship with glaucoma progression. RESULTS. At baseline, 194 (31%) eyes were glaucomatous, 347 (55%) had suspected glaucoma, and 88 (14%) were normal. Forty-six (9%) eyes showed progression by SAP and/or stereophotographs, during an average follow-up of 3.3 (+/-0.7) years. The average rate of decline for RNFLT measurements was significantly higher in the progressing group than in the non-progressing group (-0.65 vs. -0.11 mu m/y, respectively; P < 0.001), whereas RA decline was not significantly different between these groups (-0.0058 vs. -0.0073 mm(2)/y, respectively; P = 0.727). The areas under the receiver operating characteristic (ROC) curves used to discriminate progressing versus nonprogressing eyes were 0.811 and 0.507 for the rates of change in the RNFLT and RA, respectively (P < 0.001). CONCLUSIONS. The ability to discriminate eyes with progressing glaucoma by SAP and/or stereophotographs from stable eyes was significantly greater for RNFLT than for RA measurements. (Invest Ophthalmol Vis Sci. 2010;51:3531-3539) DOI: 10.1167/iovs.09-4350

Older adults' trait ratings of three age groups around the Pacific rim

In this paper, we assess the traits that older adultsassociate with younger, middle-aged, and older adults in fivePacific Rim nations from Western and Eastern cultural traditions(Australia, People's Republic of China (PRC), Hong Kong,Philippines, Thailand). We find cross-cultural trends whichreplicate patterns found in the US context. In most cultures,attractiveness, strength, activity, liberalism, health, andflexibility are seen to decline with increasing age. Kindnessassessments are positively associated with age across cultures. Mixed patterns are found with assessments of wisdom andgenerosity, with respondents from the PRC and Hong Kong beingnotably more negative about increasing age than otherrespondents. Implications for the aging process across culturesare discussed, and suggestions made for future research.

Adequação e verificação de procedimentos para determinação de mercúrio em amostras de fígado e rim de rato utilizando a técnica CV-GF AAS

O mercúrio é um elemento que ainda necessita constante monitoramento devido sua capacidade tóxica em concentrações em níveis de traço com possibilidade de contaminação e exposição por uma variedade de formas e compostos presentes no ambiente. Esse estudo possuiu como objetivo a obtenção de um procedimento simplificado e eficiente para a determinação de teores de mercúrio em tecidos de rato Wistar a partir da otimização de um método de determinação, utilizando um sistema de geração de vapor frio acoplado a espectrometria de absorção atômica com forno de grafite (CV-GF AAS). Houve a comparação entre métodos de digestão, comparação de métodos de amalgamação, otimização, verificação do método a partir da obtenção de figuras de mérito e análise de amostras de fígado e rins de ratos tratados com exposição crônica ao mercúrio. Os resultados comprovaram que o método de digestão em bloco digestor, a utilização de amalgamação por recobrimento de tubo em ouro em conjunto com rede de ouro e adição pré-análise à solução de simeticona e isopropanol apresentou os melhores resultados, com teores de recuperação médios entre 92 e 114 %, viabilizando a utilização do procedimento proposto.

RC-IAL: linhagem celular contínua de rim de coelho - características e substrato para replicação de vírus

Uma linhagem celular de rim de coelho (denominada RC-IAL), que foi isolada em 1976, e que atualmente está na 150ª passagem, teve suas características analisadas. As células apresentaram morfologia semelhante aos fibroblastos desde o início de seu cultivo. A proporção de crescimento celular não se alterou desde seu isolamento, com uma eficiência de clonagem ao redor de 9%. A linhagem mostrou crescimento dependente de ancoragem, e a análise cromossômica apresentou o número modal da espécie com pequenas variações para mais ou menos um cromossomo, resultando uma somatória de 50%. Sua espécie de origem foi comprovada através da reação de imunofluorescência indireta e a susceptibilidade da linhagem a alguns vírus, com demonstração do efeito citopático, foi verificada com os vírus da vacínia, cowpox, herpes simples tipo 1 e 2 e da rubéola. Esse substrato celular está livre de contaminantes, satisfazendo assim, as condições para seu uso em trabalhos científicos, principalmente os relacionadas à saúde pública.

Estudo, ao microscópio óptico e eletrônico, do rim de caes natural e experimentalmente infectados com Leishmania (Leishmania) chagasi

Os autores estudam os rins de 4 cães infectados com Leishmania (Leishmania) chagasi. Dois animais (um macho e uma fêmea) naturalmente infectados foram sacrificados 18 meses após sua permanência no laboratório. Dois machos foram inoculados por via endovenosa, com lxlO6 promastigotas da cepa MHO/BR/70/BH46 e sacrificados após 18 meses e 2 anos, respectivamente. Em todos os animais os rins estavam lesados. As alterações encontradas foram: (1) glomerulonefrite mesangioproliferativa focal ou difusa, com pronunciada hipertrofia e hiperplasia das células mesangiais e com alargamento da matriz; (2) espessamento da membrana basal com depósitos eletrondensos; (3) nefrite intersticial intertubular crônica com exsudação plasmocitária intensa. (4) degeneração albuminosa dos túbulos renais. Baseados nos achados os autores discutem os prováveis mecanismos patogenéticos.