When is the Haar measure a Pietsch measure for nonlinear mappings?

We show that, as in the linear case, the normalized Haar measure on a compact topological group $G$ is a Pietsch measure for nonlinear summing mappings on closed translation invariant subspaces of $C(G)$. This answers a question posed to the authors by J. Diestel. We also show that our result applies to several well-studied classes of nonlinear summing mappings. In the final section some problems are proposed

Avaliação da resistência à ferrugem em progênies de cafeeiro F4 obtidas por cruzamentos de 'icatu' com catimor.

Com o objetivo de selecionar progênies de cafeeiro resistentes à ferrugem foram instalados e conduzidos experimentos em Três Pontas, São Sebastião do Paraíso e Machado. Foram avaliadas 17 progênies desenvolvidas pelo programa de Melhoramento Genético do Cafeeiro em Minas Gerais, coordenado pela EPAMIG e obtidas pelo cruzamento ?Icatu? x Catimor, e a cultivar Rubi MG 1192 utilizada como testemunha. O delineamento foi o de blocos casualizados com três repetições. Foram analisadas as características incidência da ferrugem no primeiro semestre de 2006.Os resultados obtidos permitem verificar que as progênies avaliadas apresentam variabilidade para a resistência a ferrugem, isso é confirmado pelas estimativas da herdabilidade que foram de boa magnitude, chegando até o valor de 92,8%. Essa condição aliada à baixa incidência da doença apresentada por algumas progênies, demonstrou que é possível selecionar progênies superiores em relação à resistência a ferrugem na população estudada

Knowing about the Nutritional and Immunological Benefits of Breast Milk Does not Reduce Early Weaning

Breastfeeding brings great benefits to the child and the mother, however it is known that the practice requires encouragement and proper guidance. Even knowing the nutritional and immunological benefits of breastmilk, many mothers interrupt lactation and add artificial formulas in infant feeding, most often due to myths or difficulties in breastfeeding management. The aim of this study was to identify factors that influence early weaning in Ibiá, Minas Gerais, Brazil. It was an exploratory, transversal and quantitative research, conducted through questionnaires administered to mothers of children of 0-6 months. As for the most common problems related to breastfeeding experienced by respondents, the main reported was the presence of "milk weak "or“little milk” with 53.84%. When asked if their children were using pacifiers, 69.73% of respondents reported so. The family and professional support is of utmost importance to the practice of breastfeeding. Nursing should advise on lactation management as well as on the numerous benefits of breast feeding. The nursing team has na important role in this regard, promoting breastfeeding, with preventive actions that contribute to this important stage of the childrens life, thus, breast feeding can belived fully and satisfactorily

Fast Scalable Construction of (Minimal Perfect Hash) Functions

Recent advances in random linear systems on finite fields have paved the way for the construction of constant-time data structures representing static functions and minimal perfect hash functions using less space with respect to existing techniques. The main obstruction for any practical application of these results is the cubic-time Gaussian elimination required to solve these linear systems: despite they can be made very small, the computation is still too slow to be feasible. In this paper we describe in detail a number of heuristics and programming techniques to speed up the resolution of these systems by several orders of magnitude, making the overall construction competitive with the standard and widely used MWHC technique, which is based on hypergraph peeling. In particular, we introduce broadword programming techniques for fast equation manipulation and a lazy Gaussian elimination algorithm. We also describe a number of technical improvements to the data structure which further reduce space usage and improve lookup speed. Our implementation of these techniques yields a minimal perfect hash function data structure occupying 2.24 bits per element, compared to 2.68 for MWHC-based ones, and a static function data structure which reduces the multiplicative overhead from 1.23 to 1.03