Szego polynomials and the truncated trigonometric moment problem

We show how Szego polynomials can be used in the theory of truncated trigonometric moment problem.

The gradually truncated Levy flight for systems with power-law distributions

Power-law distributions have been observed in various economical and physical systems. Levy flights have infinite variance which discourage a physical approach. We introduce a class of stochastic processes, the gradually truncated Levy flight in which large steps of a Levy flight are gradually eliminated. It has finite variance and the system can be analyzed in a closed form. We applied the present method to explain the distribution of a particular economical index. The present method can be applied to describe time series in a variety of fields, i.e. turbulent flow, anomalous diffusion, polymers, etc. (C) 1999 Elsevier B.V. B.V. All rights reserved.

Magnesium levels in nutrient solution and common bean (Phaseolus vulgaris L cv Carioca) development. Evaluation of the growth relations and assimilate partitioning

The effect of magnesium levels in nutrient solution upon relation between shoot and root, leaf weight ratio and assimilate partitioning of common bean (Phaseolus vulgaris L. cv Carioca) was studied. Bean plants (3 per pot) were grown in 6 l pots containing Hoagland & Arnon n. 2 solution modified to obtain 2.4, 24.3, 48.6, 72.9 and 97.2 ppm of magnesium. The experimental design was a completely randomized factorial replicated 3 times with 5 levels of magnesium and 5 samplings wich were done forthnightly. Therefore, it may be suggested that the 48.6 ppm of magnesium level proposed by Hoagland & Amen (1950) is the best choice for the common bean, according to the conditions of this experiment. Magnesium concentrations over 48.6 ppm didn't show significant alterations of the evaluated parameters. Nutrient solution with 2.4 ppm of magnesium content provides higher efficiency to the common bean plants during almost all its cycle, except the final of the reproductive phase. These results suggest that magnesium concentration increased to 48.6 ppm, in the cycle final perhaps could increase the productivity.

Partial purification and characterization of pectin methylesterase from orange (Citrus sinensis) cv. Pera-rio

The enzyme pectin methylesterase (PME) from orange was extracted and partially purified by filtration on Sephadex G-100. The extraction buffer for orange PME was borate-acetate containing 0.4 M NaCl. Orange PME showed optimum pH at 8.0 and optimum temperature at 50C. The PME enzyme was completely inactivated after 1 min of incubation at 90C. The specific activity increased in the presence of 0.15 M NaCl or 0.025 M Na2SO4, 0.10 M KCl, 0.025 M K2SO4, 0.05 and 0.1 M NH4Cl. Lithium chloride and Li(2)SO(4)inhibited the enzymatic activity at all concentrations studied. The K-m and V(max)value of PME were 0.36 mg/mL and 5.26 mu mol/mL-mg protein, respectively.

Yield and quality of carrot seeds, cv. Brasilia, as a result of plant population, gibberellic acid and stage of maturity

'Brasilia' is a cultivar of carrot with characteristics suiting cultivation under hot conditions but with problems in seed production, arising from the conflicting requirements of root and seed production. One solution is to select cultivars requiring vernalisation and then to use GA(3) to induce flowering where the climate prevents this. There is, however, little information on plant population, seed maturity and harvesting time on which to base such a procedure. Accordingly this research was carried out to study the physiological quality and production of the seeds in plant populations from 25,000 to 800,000 plants/ha, in the seed-to-seed method of cv. Brasilia in Anapolis, GO, Brazil. In each population, two harvest methods (from first and second orders of umbels, or selected harvest, and remaining orders, or total harvest) and two stages of maturity (brownish, or mature seeds, and yellowish, or immature ones) were also evaluated. Two trials were carried out, with and without gibberellic acid. Seed was evaluated for physical characters, germination, vigour, 1000-seed weight, water content, dry matter and productivity. Seed was produced in both experiments (with or without GA3 spraying). Mature seed showed germination at least 30% greater than immature, and seed from the selected harvest showed germination 16% greater than from the total harvest. In increasing plant population to 200,000 plants/ha, seed quality was not affected, but productivity increased.

Preservação do Feno de Brachiaria decumbens Stapf cv. Basilisk Submetido a Tratamento com Amônia Anidra ou Uréia

This study was conducted to evaluate the effects of anhydrous ammonia (NH3) or urea treatment on the occurrence of fungi in hays of Brachiaria decumbens Stapf cv. Basilisk, baled and stored with different moisture contents. The following treatments were evaluated: T-1 = green forage, soon after the harvest; T-2 = hay with 25% of moisture, with evaluation before baling; T-3 = hay with 13% of moisture and untreated; T-4 = hay with 25% of moisture + .5% of NH3 in the DM T-5 = hay with 25% of moisture +1% of NH3 in the DM; T-6 = hay with 25% of moisture +.9% of urea in the DM and T-7 = hay With 25% of moisture +1.8% of urea in the DM. The treated hays stayed under plastic cover during 75 days, and samples were collected soon after the opening of the bales piles,and they were immediately analyzed in the laboratory. Eleven fungi were identified in different treatments, with high incidence of Aspergillus in the untreated hay, in the hay stored with 25% of moisture and treated with .5% NH3. The ammoniation totally reduced the occurrence of Helminthosporium and Nigrospora, but it did not control the occurrence of Cladosposrium and caused the occurrence of Penicillium in large intensity. The occurrence of Epicoccum, Curvularia, Phitomyces and Aspergillus genus were totally controlled by the treatment of hay with 1% of NH3; .9 and 1.8% of urea.

Enraizamento de estacas de café cv. mundo novo submetidas a tratamentos auxínicos e com boro

The present research had aimed at studying the auxins and or boron effect on rooting of coffee (Coffea arabica L. cv. Mundo Novo') cuttings. The cuttings were obtained from semi-hardwood orthotropous branches of coffee-tree, containing 2 nodes and with aproximately 10 cm in length. The bases were dipped in treatment solutions composed of IBA or NAA with and without boron during 24 hours. After the treatments, the cuttings were planted in vermiculite. The following could be observed on cuttings taken ninety days after planting - total number of roots formed, average number of roots per cutting and root length. From the results obtained, it can be concluded that cutting treatment with NAA 100 ppm plus boron is responsible for the better rooting of coffee cuttings.

EXPLICIT SOLUTIONS FOR TRUNCATED COULOMB POTENTIAL OBTAINED FROM SUPERSYMMETRY

The Schrodinger equation with the truncated Coulomb potential is solved using the supersymmetric quantum mechanics formalism, with and without the cutoff in the angular momentum potential. We obtain some analytical eigenfunctions and eigenvalues for particular values of the cutoff parameter.

Anthracnose control and mango quality (Mangifera indica L.) cv. van dyke after hydrothermal and chemical treatment

Anthracnose causes severe damage to the mango skin. Therefore, there is need to do the post-harvest phytosanitary treatment of the fruits through soaking in fungicide solution, which associated with the hydrothermal treatment has resulted into improved benefits. The present work has aimed at studying anthracnose control and post-harvest quality of mangoes (Mangifera indica L.), cv. Van Dyke after hydrothermal treatment associated with chemical through the physical, physicochemical, chemical and phytopathologic analyses. The mangoes coming from the commercial orchard of the town of Jana ba-MG, of the 2000 crop, were harvested at the commercial maturation stage. After selection according to color uniformity, size and absence of mechanic and physiologic injuries, they were shipped in plastic boxes to the EPAMIG - CTNM - Nova Porteirinha - MG, fruit post-harvest laboratory, where the samples were submitted to the hydrothermal treatment in cold bath in solution containing the fungicides Thiabendazole (Tecto 400 mL/100L), Proclaraz (Sportak 10L/100L) and Imazalil (Magnate 200mL/100L). After air-drying, the fruits were packed in plastic trays and stored at room temperature (25 +/- 2 degrees C and RH 70%) for a 12-day period and evaluated as to the intrinsic quality characteristics every 4 days. The experiment was conducted a completely randomized with 8 treatments, 4 replicates and experimental unit consisting of 4 fruits. The variations of pH, total soluble solids, total titrable acidity and total soluble sugars have not endangered the organoleptic characteristics of mangoes cv. Van Dyke stored under room temperature (25 +/- 2 degrees C and RH 70%) till 8 days' storage. The association of the hydrothermal treatment with the chemical was efficient in fruit anthracnose control for till 12 days' storage. The fungicide Prochloraz (Sportak 110 mL/100L), associated with the hydrothermal treatment, completely inhibited the appearance of anthracnose symptoms.

THE CASSAVA (MANIHOT-ESCULENTA, C) CV PIONEIRA .3. COOKING CHARACTERISTICS

The edible parts of cassava cultivar Pioneira roots after 12 and 24 months of cultivation were analysed for human consum. The yield was 63% when the roots were harvested at the right time (12 months), and lower (58%) for older roots, with 24 months. Total cyanide contents were 62,0 - 61,8 and 58,0 - 63,4 ppm, respectively. Cooking time was 13,5 min and 19,5 min, respectively, although the cooked mass quality was similar good. The edible part of the roots was processed in french fries or tholes, submited to two treatment: blanching for three minutes and boiling for ten minutes. Treated and in natura tholes were fried in vegetable oil at 190-degrees-C. The effect of freezing (-20-degrees-C for 60 days) on the cooking quality was also evaluated. The frozen storage reduced the total cyanid content in all treatment. The rate of cyanid decrease were 45%, 84% and 88% with frying, blanching and frying, and boiling and frying, respectively. Blanching followed by frying assured a safe cyanid level for human consum as well as a good acceptance in sensorial analysis. The influence of the age of the roots in cooking quality was a decrease in softness. Frozen storage softened the 24 month old roots and worsened the flavor of 12 month old root. For table purposes cassava roots should be processed in french fries and blanching, what would allow frozen storage of edible part.

Effects of auxins and boron on rooting of kiwi stem cuttings (Actinidia chinensis Pl cv Matua)

This work studies the effects of some synthetical auxins and boron in the rooting of stem cuttings of kiwi (Actinidia chinensis Planch cv Matua). The stems used had two nodes and two leaves cut in half. The auxin effect was observed through seven different treatments: T1 (H2O); T2 (NAA 300 ppm); T3 (IBA 300 ppm); T4 (NAA 300 ppm + B); T5 (IBA 300 ppm + B); T6 (NAA 0,5%-talc) and T7 (IBA 0,5%-talc), applied to the bases of stem cuttings. After these treatments, the cuttings were placed in suitable rooting dishes, with pure vermiculite in misty nebulization chamber for 120 days until collection day. The evaluation of auxin and boric acid effects were made based on the following observations: 1. The percentage of rooted stem cuttings; 2. reducing sugar and total sugar analyses; and 3. tryptophan analyses. The effects of such treatments were observed in the four seasons. The results showed that winter is best for rooting. Application of IBA talc 0,5% to the cuttings bases increased rooting.

Action of auxins, boron and harvest season on the rooting of kiwi fruit stem cuttings (Actinidia chinensis Pl cv Monty)

Action of auxins on the rooting of stem cuttings of kiwi (Actinidia chinensis P. cv Monty). This work studies the effects of some synthetic auxins and B in the rooting of kiwi (Actinidia chinensis Planch cv Monty) stem cuttings. The treatments used were as follows: T1 (H2O); T2 (NAA 300 ppm); T3 (IBA 300 ppm); T4 (NAA 300 ppm + B); T5 (IBA 300 ppm + B); T6 (NAA 0,5%-talc) and T7 (IBA 0,5%-talc), applied to the bases of the cuttings. These were then placed in rooting dishes with pure vermiculite in a misty nebulization chamber until collection day (120 days). The evaluation of auxin and boric acid effects on kiwi stem cuttings were made based on the following observations: 1. The percentage of rooted stem cuttings; 2. reducing sugars and total sugar analyses (in g/100 g of dry matter); and 3. tryptophan analyses (in mu g/100 mg of dry matter). The results show that summer is the best season for rooting Actinidia chinensis Planch cv Monty stem cuttings. The use of IBA talc 0,5% on the bases of the cuttings shamed positive results too.

Tsallis statistics and gradually truncated Levy flight - distribution of an economical index

Tsallis postulated a generalized form for entropy and give rise to a new statistics now known as Tsallis statistics. In the present work, we compare the Tsallis statistics with the gradually truncated Levy flight, and discuss the distribution of an economical index-the Standard and Poor's 500-using the values of standard deviation as calculated by our model. We find that both statistics give almost the same distribution. Thus we feel that gradual truncation of Levy distribution, after certain critical step size for describing complex systems, is a requirement of generalized thermodynamics or similar. The gradually truncated Levy flight is based on physical considerations and bring a better physical picture of the dynamics of the whole system. Tsallis statistics gives a theoretical support. Both statistics together can be utilized for the development of a more exact portfolio theory or to understand better the complexities in human and financial behaviors. A comparison of both statistics is made. (C) 2002 Published by Elsevier B.V. B.V.

Degradabilidade in situ do Capim Panicum maximum cv. Tanzânia Incubado Cortado ou na Forma de Extrusa

The aim of this study was to compare the chemical composition, in vitro dry matter disappearance (IVDMD) and ruminal degradation of Panicum maximum, J. cv. Tanzania samples obtained by clipping (square method) or extrusa collection (animal selection). In the in situ trial, three ruminal fistulated dry crossbred cows, with 499 kg LW, were used in a completely randomized block design with split-plot arrangement design. Five grams of clipped (+/- 2 cm) grass or extrusa samples were placed in nylon bags (7 x 14 cm) and rumen incubated during 3, 6, 12, 24, 48, 96 and 120 hours. The IVDMD and the CP, NDF and ADF content were, respectively, 55.8, 7.6, 81.9 e 43.6%, for the clipped grass and .66.5, 12.1, 78.8 e 39.5%, for the extrusa samples. The potential degradability of DM, C P, NDF and ADF were 62.59, 80.88, 50.73 and 46.65%, for clipped grass; and 79.53, 90.97, 71.21 and 65.68%, for extrusa samples. The quality of the selected animal diet (extrusa) was better than the available forage in terms of IVDMD and chemical composition (high protein and low fiber content). In situ degradability trials carried out with clipped samples, and non selected by animal, could not supply reliable results closed to the animal diet.