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The present paper shows that the sum of two binomial integrals, such as A ∫ x p (a + bx q)r dx + B ∫ x p (a + bx q)r dx, where A and B are real constants and p, q, r are rational numbers, can, in special cases, lead to elementary integrals, even if each by itself is not elementary. An example of the case considered is given by the integral ∫ x _____-___ 3 dx = 1/2 ∫ x-½ (x - 1)-⅓ dx - 6 √ x ³√(x - 1)4 = 1/3 ∫ x-½ (x - 1)-¾ dx On the rigth hand side of the last equality both integral are not elementary. But the use of integration by parts of one of them leads to the solution: ∫ x _____-___ 3 dx = x½ (x - 1)-⅓ + C. 6 √ x ³√(x - 1)4

Phosphate "fixation" is the convertion of soluble into insoluble phosphate in the soil. There are many factors conditioning phosphate fixation by soil such as reactions originating less soluble compounds (phosphates of iron, aluminum, calcium, magnesium, etc.), PO4-3 adsorption by the colloidal fraction of soils, PO4-3 absorption by the soil microflora, etc. Certain soils of the state of São Paulo (Brazil) are relatively rich in both iron and aluminum oxides. PO4-3 fixation, using P31 and P32 has been verified by researchers, specially with "Terra Roxa". The known methods for fixation evaluation are conventional as this depends on phosphate solution concentration, pH, time of contact between soil and solution, relation of sample weight to solution volume, shaking time, etc. In this experiment, the following conventional method was used: 4 g of soil were shaken for 15 minutes at 30-40 rpm, in 300 ml Erlenmeyer flask in a Wagner shaking machine, together with 100 ml of 0,03 normal phosphate solution (being 0,01 normal as PO4-3 contributed by H8PO4 and 0,02 normal as PO4-3 from KH2PO4). After shaking it was set aside for 24 hours and then filtered. Phosphate was determined in a suitable aliquot of both the original solution (blank) and the soil extract, by the vanadomolibidic-phosphoric acid method. From phosphate concentration in the blank minus phosphate concentration in the soil stract the rate of fixation by 100 g of soil was calculated. The data obtained show that "Terra Roxa" and "Terra Roxa Misturada" have a fairly high PO4-3 fixation capacity, varying from 10 to 24 milliequivalents of PO4-3 per 100 g of soil.

In order to know potassium availability in "leucita de Poços de Caldas" from Poços de Caldas, Minas Gerais, a Mitscherlich pot experiment was set up. The pots were filled with 6 kilograms of sieved (4 mm) "Terra Roxa Misturada" soil. Rice (Oryza sativa, L.), Dourado Agulha variety was the testing plant. Doses of potassium referred to are 1,5 g (as K(2)0) from both KCl and "leucita de Poços de Caldas". There were 6 treatments, with 3 repetitions, as follows: 1) Control; 2) NP + 1 dose K (KCl); 3) NP + 2 doses K (KCl)); 4) NP + 3 doses K (KCl); 5) NP + 1 dose K (leucita); 6) NP + 2 doses K (leucita) and 7) NP + 3 doses K (leucita). Each pot received 50 seeds. Five days after germination the seedlings were thinned to 35. Harvesting took place 4 months after germination. Potassium (as KCl) promoted an increase in yield of both stalk and grain as compared with control. Potassium content in the leaves was also higher in all treatment in which KCl was supplied. Potassium, as "leucita de Poços de Caldas» did not show any favorable effect on both stalk and grain yield and on its content in the leaves.

The "direct formulas" by Professor Ansheles, a Russian crystallographer, are published, without deduction, in the Crystallography by BOLDYREV, (1934), translated into Spanish by Candel Vila. In the present work the author deduces such formulas, using the stereographic projection.

Na Cristalografia de BOLDYREV, (1934), é deduzida uma equação geral de projetividade [13], que se aplica aos diferentes sistemas cristalográficos. O presente trabalho cuida dos símbolos projetivos de Fedorow, em cada sistema, através da projeção estereográfica.

Por meio da projeção estereográfica e geometria analítica é apresentada uma nova dedução da expressão hr1 + kr2 + lr3 = 0.

The present work presents a new deduction of the expressions which are used to the change of the coordinate axes in Crystallography, the author using the stereographic projection.

By means of the stereographic projection, the author presents a new deduction of Miller's formula concerning about the tautozonal faces.

Among some strains of Actinomycetes isolated from Latosol red-yelow soil during the four seasons of the year only few strains had the capacity to reduce nitrate to nitrite. The stronger activity was shown by t !he strains isolated in springtime and at a pH of 5,5.

Some strains of Actinomycetes showed variation in its activity to reduce nitrate to nitrite when the nutrient solution was modified in relation to the major elements. One of these strains incapable of !this reaction showed a strong activity in nutrient solution without K and little activity without P. Otherwise strains capable of reducing nitrate to nitrite had this capacity decreased in absence of each one of the following elements: K, P, Mg, e S. K showed to be the most important of them, followed by P, Mg e S. Without any of these elements the pH of the nutrient solution has to be increased from 5,5 to 6,5 for the strains capable to reduce nitrate to nitrite preserve its capacity. The time for the reaction is increased from 5 to 8 days and the amount of nitrite obtained is small.

Among 327 strains of Actinomycetes isolated in 1958 during the four seasons, 97,85 per cent had proteolytic activity. Most of the strains wete isolated in spring time. About the organic matter no conclusions were reached, because it was mantained constant with a average value of 4.099. So the different number of the strains was a consequence of the season. We can conclude that the Latosol red-yellow soil, from where these microorganisms were isolated, has a strong proteolytic capacity, since this reaction is very strong in a maximum limit of sixteen days during the spring season. Consequently, this soil has one of the most importante caracteristics of fertility. The role of the Actinomycetes in the soil is so important of the soil microflora.

Les auteurs ont mesuré l'activité protéolytique et amonifiante d'un sol latéritique de l'Etat de São Paulo (Brésil) avec e sans paillis. Ils ont choisi, à cet effet, des échantillons à deux profundeurs différentes: 0-2 cm. et 0-20 cm.. Ils ont démontré, à la suite des résultats obtenus, les avantages du paillis sur ce type de sol. D'ailleurs, on n'ignore pas l'action bienfaisante du paillis dans le problème de la conservation et de la régénération des sols de la zone tropicale et subtropicale. Les auteurs ont constaté un accroissement considérable de la microflore totale, une teneur plus élevée de la matière organique et des eéements minéraux, confirmés par les indices protéolytique te amonifiante dans le sol sous paillis. Ces différences ont été encore beaucoup plus sensibles quand on compare les échantillons de sol tirés à une profondeur de 0-2 cm.

No presente trabalho focalizamos o discutido problema da origem ou formação das domácias, escolhendo, inicialmente, as principais variedades de Coffea arabica L.. Na revisão da literatura, procuramos nos cingir unicamente à bibliografia que trata do assunto em aprêço. Apreciando convenientemente o problema da origem, duas hipóteses foram aventadas pelos autores para explicar a formação das domácias: l.ª) causada por insetos ou por ácaros (LUNDSTRÖEM e outros). 2.ª) caráter hereditário (CHEVALIER). Ambas as hipóteses foram consideradas com o objetivo de aclararmos o problema e concluimos, com CHEVALIER, que se trata de um caráter hereditário. O material constou de sementes, e de ramos com fôlhas de várias idades de cafeeiros que vieram das coleções vivas do Instituto Agronômico de Campinas. As observações morfológicas preliminares foram feitas com o auxílio do microscópio estereoscópico. As estruturas anatômicas foram apreciadas em córtes transversais longitudinais, coloridos com violeta-cristal e eritrosina, com espessura de 18 micra.

The writers report results on the application of four fumigants (D. D., E. D. B.-40, C. B. P. and Vapam) for control of root-knot and meadow nematodes attacking potato in beds filled with soil artificially inoculated. The data obtained were as follows: a) as reported by previous authors, potato is sensitive to C.B.P., the toxical effects of which disapearing only about 6 and half months after application. On the other hand, C.B.P. proved to have a significative residual nematicidal value, protecting the seeds from root-knot nematodes for a period of two years; b) D. D., E. D. B., and Vapam were effective for controling root-knot but with no residual value, having to be used prior to each planting; c) at the rates used, no nematicide was effective to control meadow nematodes; d) in the conditions of the experiments, all nematicides incited attacks bv Streptomyces scabies. Actually, in some cases scab did not affect any tuber from the check while the entire production from the treated beds was heavily desfigured. The writers assume that as the nematicides killed protozoa and too many bacteria-eating nematodes, they destroyed the biological equilibrium existing in the soil, thus allowing the S. scabies population to reach a high level.

The authors discuss from the economic point of view the use of a few functions intended to represent the yield y corresponding to a level xof the nutrient. They point out that under conditions of scarce capital what is actually most important is not to obtain the highest profit per hectare but the highest return per cruzeiro spent, so that we should maximize the function z = _R - C_ = _R_ - 1 , C C where R is the gross income and C the cost of production (fixed plus variable, both per hectare). Being C = M + rx, with r the unit price of the nutrient and Af the fixed cost of the crop, wo are led to the equation (M + rx)R' - rR = 0. With R = k + sx + tx², this gives a solution Xo = - Mt - &#8730; M²t² - r t(Ms - Kr)- _____________________ rt on the other hand, with R = PyA &#91;1 - 10-c(x + b)&#93;, x0 will be the root of equation (M + rx)cL 10 + r 10c(x + b) = 0 (12). Another solution, pointed out by PESEK and HEADY, is to maximize the function z = sx + tx² _________ m + rx where the numerator is the additional income due to the nutrient, and m is the fixed cost of fertilization. This leads to a solution x+ = - mt - &#8730;m²t² - mrst (13) _________________ rt However, we must have x+< _r_-_s_ I if we want to satisfy t _dy_ &gt; r. dx This condition is satisfied only if we have m < _(s__-__r)² (14), - 4 t a restriction apparently not perceived by PESEK and HEADY. A similar reasoning using Mitscherlich's law leads to equation (mcL 10 + r) + cr(L 10)x - r 10cx = 0 (15), with a similar restriction. As an example, data of VIEGAS referring to fertilization of corn (maize) gave the equation y - 1534 + 22.99 x - 0. 1069 x², with x in kg/ha of the cereal. With the prices of Cr$ 5.00 per kilo of maize, Cr$ 26.00 per kilo of P2O3,. and M = Cr$ 5,000.00, we obtain x0 = 61 kg/ha of P(2)0(5). A similar reasoning using Mitscherlich's law leads to x0 = 53 kg/ha. Now, if we take in account only the fixed cost of fertilization m = Cr$ 600.00 per hectare, we obtain from (13) x+ = 51 kg/ha of P2O5, while (14) gives x+ - 41 kg/ha. Note that if m = Cr$ 5,000.00, we obtain by formula (13) x+ = 88 kg/ha of P2O5, a solution which is not valid, since condition (14) is not satisfied.

1. A presente contribuição trata do estudo morfológico e anatômico das domácias que ocorrem em 21 variedades e 4 formas da espécie Coffea arabica L. 2. Além da revisão da literatura, que se cingiu unicamente aos trabalhos que focalizam o assunto em aprêço, constam, na introdução, algumas obras que se referem às domácias existentes em outras famílias. 3. A fim de apreciar convenientemente os conceitos que os diferentes autores expediram a respeito das domácias, desde que se tornaram conhecidas, foram registradas, no capítulo correspondente, as funções e as diversas denominações que lhes foram atribuidas. 4. As principais classificações das domácias propostas são de CHEVALIER, LEBRUM e DE WILDEMAN. As domácias das variedades e formas de Coffea arabica L., se enquadram no tipo b, isto é, domácias em fenda, segundo a classificação de CHEVALIER. 5. O material utilizado no presente estudo, constante de ramos com fôlhas de várias idades, proveio do Instituto Agronômico de Campinas e da Secção de Agricultura Especial da E.S.A. "Luiz de Queiroz". As observações morfológicas das domácias foram feitas com o auxílio do microscópio estereoscópico e constam do Quadro I e II. A estrutura anatômica foi apreciada em cortes transversais medianos da domácia, coloridos pelo violeta cristal e eritrosina, com espessura de 18 micra, cujos dados acham-se anotados nos Quadros de n.os III a XI. 6. No capítulo referente à morfologia e à anatomia das domácias, para melhor apreciação do assunto foi introduzida a estrutura anatômica da fôlha adulta da variedade typica. 7. Morfològicamente as domácias foram examinadas nas suas duas faces, isto é, superior e inferior, anotando-se-lhes os aspectos apresentados, bem como a sua localização no limbo, isto é, na axila formada pelas nervuras principal e secundárias. No geral a sua distribuição vai desde a base do limbo até aos 2/3, aproximadamente, do seu comprimento. Na face ventral da fôlha, as domácias exibem uma elevação abaulada e na dorsal situam-se na área da axila, e em um plano um pouco mais elevado que o limbo, mostrando no centro um orifício de forma variável. Em cortes medianos, a domácia revela-se constituida de uma câmara embutida no mesofilo, a qual se comunica com o exterior por um canal; êste por sua vez, termina numa bôca que se abre na epiderme inferior do limbo. Histològicamente a domácia consta de uma epiderme, procedente do limbo e da nervura, e de um tecido parênquimatoso envolvente, composto de algumas camadas de células, o qual confina com os tecidos do mesofilo. Topogràficamente a domácia situa-se entre os seguintes tecidos da estrutura foliar: sistema vascular principal, nervura secundária, parênquima lacunoso lateral e parênquima lacunoso superior. Sua posição com relação às regiões mencionadas fica perfeitamente definida, determinando-se as distâncias que vão do centro da câmara até elas.

For the determination of exchangeable hydrogen ion in soils, the authors of the presente work made the extraction with normal calcium acetate solution that may have an initial pH between 7 and 8 without altering the amount of hydrogen ion extracted. The extraction was made by shaking 5,0 grams of air dry soil with 100 ml of normal calcium acetate solution, the pH of wich was ascertained to 7,0, 7,5 and 8,0 with acetic acid, in 250 mil conical flasks for 30 minutes in a Wagner shaker (30-40 rpm). The contents of the flasks were then, filtered. A 50 ml aliquot of each of the leachate was titrated with a 0,020 N NaOH solution and the volumes consumed sodium hydroxide were ploted against pH. The titration curves thus obtained showed to be straight lines between pH 8 and 9 and parallel to the curve obtained by the titration of the blank. Two ways of locating the end point of the titration showed to be possible: the use of a pHmeter or titrimeter or the use of phenolphtalein as indicator. When using a pH meter or a titrimeter, the end point may rest in any point between pH 8 and 9, and the volume of sodium hydroxide consumed is found by comparison with a similar curve obtained by the titration of the blank. When using phenolphtalein the calcium acetate solution must have a pH below 8.

Twelve samples of fluid milk delivered by "Laticínios Piracicaba Ltda." for public consumption, from March 25 do August 7, 1959, were analysed to determine its calcium and phosphorus content per 100 ml. A slight variation was observed. Calcium varied from 119 to 136 mg and phosphorus from 83 to 91 mg. These results are comparable to the ones obtained in other countries, showing that calcium and phosphorus content in cow milk is almost invariable.

This paper deals with Mimosicerya hempeli (Cock., 1899) (Homoptera, Margarodidae) and its predator, the ladybeetle Exo-plectra erythrogaster Muls., 1851 (Coleoptews, Coccinellidae), which were found to occur at Piracicaba, State of São Paulo, Brasil. The first is a pest of "cássia imperial" (Cassia fistula L.), and several other trees. As those insects are little known, a few bionomical notes and descriptions of some of their stages are presented. The adult scales proved to be very resistant to an application of mineral oil plus malathion. Methyl Demeton applied with irrigation water showed no control. The same insecticide injected into the trunk gave very poor results.

O presente trabalho é parte de um estudo da influência da cobertura morta sôbre algumas propriedades físicas e químicas de um latosolo vermelho amarelo plantado com café. Nele os autores relatam apenas os resultados obtidos sôbre a conservação da umidade do solo, concluindo que a cobertura morta mostrou-se eficiente nesse particular. O seu efeito foi mais pronunciado nos períodos mais sêcos e principalmente na camada superficial.