Sedenions of Cayley-Dickson and the Cauchy-Riemann like relations

This work is an extension to sedenions of the Cauchy-Riemann relations, following a similar earlier construction made by one of the authors (M. Borges) to quaternions and octonions, see [1], [2], [3]. © 2011 Academic Publications.

Sedenions Cayley-dickson e dilatação de funções k-quaseconformes

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Adubação com nitrogênio e potássio em mudas de goiabeira em viveiro comercial

The fertilization takes key role at the production of fruit seedlings in order to ensure a good development and early production. The aim of this study was to evaluate the effects of nitrogen and potassium on the growth of guava seedlings. Herbaceous stakes of guava, Paluma cultivar, were rooted in a mist room, in polyethylene bags containing substrate. The experiment was conducted in a commercial nursery, in randomized blocks and a factorial scheme 4x4, with four doses of nitrogen (0, 552, 828 and 1104 mg dm(-3)) and four doses of potassium (0, 726, 1,089 and 1,452 mg dm(-3)) in three replications and three plants for parcel. During the filling of the bags (1,5 dm(-3)), were added 100 mg dm(-3) of superphosphate, while fertilizers containing nitrogen and potassium were split into three times. After 120 days, the seedlings were evaluated. There was a significant effect of nitrogen in the variables height, stem diameter, number of leaves, SPAD index, dry weight of leaves, stems, total, Dickson quality index, and nitrogen accumulation. The fertilization with potassium did not influence the biometric parameters, SPAD index and Dickson quality index.

Seedlings production of Tabebuia heptaphylla in different substrates and levels of irrigation, in greenhouse conditions

The objective of this research was to evaluate the growth of Tabebuia heptaphylla seedlings in distinct substrates with different amounts of urban waste compost and the relation between this growth and irrigation. A completely randomized experimental design was used, with a factorial arrangement of 15 substrates and 2 irrigation levels. The substrates were composed by the combination of different materials: urban waste, tanned cattle manure, vermiculite, soil and the commercial form Plantmax (R). For the study of the seedlings development, the following characteristics were evaluated: plant height, stem diameter at soil level, number of leaves, above ground dry matter, root system dry matter, relation between plant height and stem base diameter, Dickson quality index and relation between plant height and above ground dry matter. Evaluations of plant height, stem diameter at soil level and number of leaves were made at 75, 90, 105, 120, 135 and 150 days after sowing. According to the results, it was concluded that urban waste compost does not increase plant development. Significant differences in relation to the irrigation levels were found, with better results for the 150% irrigation level compared to 100% evapotranspiration.

Efeito do tamanho de tubetes na qualidade de mudas de Jatobá (Hymenaea courbaril L. var. stilbocarpa (Hayne) Lee et Lang.), Ipê-amarelo (Tabebuia chrysotricha (Mart. ex DC.) Sandl.) e Guarucaia (Parapiptadenia rigida (Benth.) Brenan)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Qualidade de mudas clonais de Eucalyptus urophylla x E. grandis em função do substrato

Considering the increasing demand for seedlings of plants for aforestation and the scarcity of raw materials for the substrates used for plant growth, it is necessary to evaluate new components and formulations that ensure the quality of seedlings. In this experiment the development and quality of production of Eucalyptus urophylla x E. grandis seedlings was studied through vegetative propagation, as a function of nine compositions of substrate, produced from fine-grained vermiculite, carbonized rice chaff and coconut fiber in hard plastic tubes of 50 mL as containers. The physical properties of substrates and morphological development and the quality of the root system of seedlings were evaluated at 90 days after staking. The substrates with higher total porosity promotes better quality of the root system, which consequently results in cuttings with larger diameter, shoot and root dry weight and Dickson Quality Index. Other properties for the physical characteristics of substrates other than mentioned in literature can also be considered adequate.

Padrão de qualidade de mudas de Trema micrantha (L.) Blume, produzidas sob diferentes períodos de sombreamento

O objetivo deste trabalho foi verificar a influência do período de permanência das mudas sob sombreamento nos parâmetros empregados na avaliação da qualidade das mudas de Tremamicrantha (crindiúva). O delineamento experimental foi o inteiramente casualizado, com quatro repetições por tratamento, contendo 88 plantas cada. Foram realizadas três avaliações, aos 90, 120 e 150 dias após a emergência. Os tratamentos na avaliação I foram 45, 60, 75 e 90; na avaliação II, 45, 60, 75, 90, 105 e 120; e na avaliação III, 45, 60, 75, 90, 105, 120, 135 e 150 dias de permanência sob sombreamento com 48% de retenção da radiação, respectivamente. Foram avaliados os parâmetros morfológicos das mudas, suas relações e o índice de qualidade de Dickson. As mudas desenvolvidas sob maiores períodos de sombreamento, embora tenham alcançado maiores alturas das partes aéreas e áreas foliares, apresentaram as piores qualidades, com redução do diâmetro do coleto, da massa seca do sistema radicular e do índice de qualidade de Dickson e aumento da relação altura da parte aérea/diâmetro do coleto e da relação parte aérea/sistema radicular. Nas três avaliações, o período de permanência das mudas sob sombreamento não influenciou significativamente os parâmetros área foliar, massa seca das folhas, massa seca da parte aérea e massa seca total. As mudas apresentaram melhores padrões de qualidade e condições de plantio no campo a partir dos 120 dias de idade, quando crescidas sob 45 e 60 dias de sombreamento. O índice de qualidade de Dickson foi bom indicador do padrão de qualidade das mudas.

Volume do recipiente, adubação e sua forma de mistura ao substrato no crescimento inicial de Peltophorum dubium (sprengel) taubert em viveiro

O ensaio comparou três volumes de recipientes, três tipos de adubação e duas formas de mistura do fertilizante ao substrato, no crescimento inicial de plântulas de Peltophorum dubium (Sprengel) Taubert (canafístula) em viveiro, num esquema fatorial 3 x 3 x 2. Foram utilizados tubetes de 100 e 180 cm³ preenchidos com substrato comercial e sacos plásticos de 10 x 15 cm cheios com mistura de solo e vermiculita em partes iguais, fertilizados com fertilizante de liberação lenta (FLL) nas dosagens de 1,75 e 3,5 kg m-3 e com formulação NPK a 1,0 kg m-3 de substrato. As formas de misturas adotadas foram aquelas com base por metro cúbico de substrato ou individualmente para cada recipiente. Na análise destrutiva realizada 12 semanas após a emergência, avaliaram-se o número de folhas, a altura da planta, o diâmetro do coleto e as massas secas da parte aérea, o sistema radicular e o total. Os resultados indicaram que a redução no volume do recipiente causou diminuição na massa seca, diâmetro e altura. O número de folhas, a massa seca da parte aérea e a massa seca total foram semelhantes nas plântulas sob fertilização com NPK, independentemente do volume do recipiente, o que não ocorreu naquelas sob FLL, onde esse parâmetro diminuiu com o volume do recipiente. O cálculo do índice de Dickson após 12 semanas indicou valores superiores em mudas com a forma de mistura convencional em relação à individual e maior naquelas sob fertilização com NPK, em comparação com as sob FLL.

Effect of the passive recovery period on the lactate minimum speed in sprinters and endurance runners

The objective of this study was to verify the effect of the passive recovery time following a supramaximal sprint exercise and the incremental exercise test on the lactate minimum speed (LMS). Thirteen sprinters and 12 endurance runners performed the following tests: 1) a maximal 500 m sprint followed by a passive recovery to determine the time to reach the peak blood lactate concentration; 2) after the maximal 500 m sprint, the athletes rested eight mins, and then performed 6 x 800 m incremental test, in order to determine the speed corresponding to the lower blood lactate concentration (LMS1) and; 3) identical procedures of the LMS1, differing only in the passive rest time, that was performed in accordance with the time to peak lactate (LMS2). The time (min) to reach the peak blood lactate concentration was significantly higher in the sprinters (12.76+/-2.83) than in the endurance runners (10.25+/-3.01). There was no significant difference between LMS1 and LMS2, for both endurance (285.7+/-19.9; 283.9+/-17.8 m/min; r= 0.96) and sprint runners (238.0+/-14.1; 239.4+/-13.9 m/min; r= 0.93), respectively. We can conclude that the LMS is not influenced by a passive recovery period longer than eight mins (adjusted according with the time to peak blood lactate), although blood lactate concentration may differ at this speed. The predominant type of training (aerobic or anaerobic) of the athletes does not seem to influence the phenomenon previously described.

Influence of exercise mode and maximal lactate-steady-state concentration on the validity of OBLA to predict maximal lactate-steady-state in active individuals

The aim of this study was to analyze the effects of exercise mode on the validity of onset of blood lactate accumulation (OBLA-3.5-mM fixed blood lactate concentration) to predict the work-rate at maximal lactate steady state (MLSSwork-rate). Eleven recreationally active mates (21.3 +/- 2.9 years, 72.8 +/- 6.7 kg, 1.78 +/- 0.1 m) performed randomly incremental tests to determine OBLA (stage duration of 3 min), and 2 to 4 constants work-rate exercise tests to directly determine maximal lactate steady state parameters on a cycle-ergometer and treadmill. For both exercise modes, the OBLA was significantly correlated to MLSSwork-rate, (cycling: r = 0.81 p = 0.002; running: r = 0.94, p < 0.001). OBLA (156.2 +/- 41.3 W) was lower than MLSSwork-rate (179.6 +/- 26.4 W) during cycling exercise (p = 0.007). However, for running exercise, there was no difference between OBLA (3.2 +/- 0.6 m s(-1)) and MLSSwork-rate (3.1 +/- 0.4 m s(-1)). The difference between OBLA and MLSSworkrate on the cycle-ergometer (r = 0.86; p < 0.001) and treadmill (r = 0.64; p = 0.048) was significantly related to the specific MLSS. We can conclude that the validity of OBLA on predicting MLSSwork-rate is dependent on exercise mode and that its disagreement is related to individual variations in MLSS. (C) 2007 Sports Medicine Australia. Published by Elsevier Ltd. All rights reserved.

Finiteness of hermitian levels of some algebras

We characterize the hermitian levels of quaternion and octonion algebras and of an 8-dimensional algebra D over the ground field F, constructed using a weak version of the Cayley-Dickson double process. It is shown that all values of the hermitian levels of quaternion algebras with the hat-involution also occur as hermitian levels of D. We give some limits to the levels of the algebra D over some ground field. © Soc. Paran. de Mat.

Seedling growth of Schizolobium parahyba on different substrates and irrigation levels

The present study aimed to assess the behavior of seedlings of Schizolobium parahyba (Vell.) Blake growing on different substrates and irrigation levels, and to study the use of urban waste compost in substrates. The experiment was carried out in the College of Agricultural Sciences, Universidade Estadual Paulista (UNESP), Department of Agricultural Engineering, Jaboticabal Campus, state of São Paulo, Brazil. The experimental design used was completely randomized, consisting of 30 treatments in a factorial design with 15 substrates and two irrigation levels in four replicates. The substrates were composed of different materials: urban waste, Plantmax®, dry cattle manure, vermiculite and soil. For the study of seedling growth, the following characteristics were evaluated: height (H), root-collar diameter (D), number of leaves, shoot dry weight, root dry weight, total dry weight, H/D ratio, Dickson's quality index, and the ratio between height and shoot dry weight (H/SDW). Assessments of the first three characteristics were carried out 20, 35, 50 and 65 days after sowing. Results showed that urban waste compost increased the growth of Schizolobium parahyba. There were significant differences for the irrigation levels tested; with better results for 150% ET compared to 100% ET irrigation level.

Utilização de composto de lixo urbano na produção de mudas de espécies arbóreas nativas com dois níveis de irrigação

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Controle químico de doenças de Eucalyptus spp. em viveiros e seus efeitos morfo-fisiológicos

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)