Sôbre uma propriedade da equação utilizada para interpolação da Lei de Mitscherlich

The author proves that equation, Σy n ΣZx | ΣxyZx ΣxZx ΣxZ2x | = 0, Σy ΣZx Σy2x | where Z = 10-cq and q is a numerical constant, used by Pimentel Gomes and Malavolta in several articles for the interpolation of Mitscherlih's equation y = A [ 1 - 10 - c (x + b) ] by the least squares method, always has a zero of order three for Z = 1. Therefore, equation A Zm + A1Zm -1 + ........... + Am = 0 obtained from that determinant can be divided by (Z-1)³. This property provides a good test for the correctness of the computations and facilitates the solution of the equation.

Determinação fotométrica do ácido ascórbico

The photometric determination of ascorbic acid with the "E. E. L. portable colorimeter" can be carried" out rapid and conveniently using either 3% HPO3 or 0,4% (COOH) 2 as protective agent. The standards would contain from 2 to 20 micrograms of ascorbic acid per ml of metaphosphoric or oxalic acid solutions. We mix 10 ml of these solutions with 3 ml of the adequate citrate buffer solutions, and we pipet 5 ml of the resulting mixture to a matched test tube containing 5 ml of sodium - 2,6 - dichlorobenzenoneindophenol (80 mg per liter); then we shake well and after 15 seconds the extintion is read using green filter. The readings are subtracted from the blank one. Designating the differences by x and the concentrations of ascorbic acid/ml in the standards by y, we get, with the acid of the method of least squares, the following regression equations: for the metaphosphoric acid Y = 0,543x + 0,629 for the oxalic acid Y = 0,516x + 0,422, which permit, by interpolating, the determination of the ascorbic acid content in plant materials.

Nota sôbre cromossômios de alguns Ortópteros do Brasil

A short, report on the chromosomes of three species of Brasilian Orthoptera is given in the present paper. Meroncidius intermedins Brunner, belonging to the Pseu-dophyllidae, differs from the species already studied in the Family in having 30 instead of 34 autosomes and a metacentric sex chromosome. "Of the autosomes, 4 showed to be metacentric. The author believes that the present species may be originated from one having 34 acrocentric autosomes by means of centric fusions. The origin of ths metacentricity of the X is not discussed. Oxyprora flavicornis Redtb.,belonging to the Copiphori-dae, has spermatogonia with 29 chromosomes. Of the autosomes, 4 seemed to be metacentric. The X has the form of a V of subae-qual arms. Neoconocephálus injuscatus (Scudd.), also belonging to the Copiphoridae, is provided with secondary spermatocytes of 13 -j- X and 13 chromosomes. The heterochromosome is metacentric. In the spermatogonia, whose chromosome number has not been counted, there are a lot of metacentric elements. In the opinion of the present writer species provided with 31, 33 and 35 chromosomes should exist in the Copiphoridae.

Pesquisas sôbre a análise estatística de experiências de adubação com o auxílio da lei de Mitscherlich

Statistical analyses of an experiment on wheat were carried out with the aid of Mitscherlich's law. The experiment was made in Ponta Grossa, Paraná, by the Ministry of Agriculture of Brasil. Lime, in the form of Ca(OH)2, was applied at the levels of 0, 2, 4, 6 and 8 metric tons per hectare. A 5 x 5 Latin square was used. Lime was applied in 1940 and wheat was cultivated in the same plots for several years. The following fertilizers were annually used for all plots: NaNO3 100 kilograms per hectare, Superphosphate 350 kilograms per hectare, K2S04 80 kilograms per hectare. The statistical analysis of the data collected in 1941, 1942, 1943, 1947 and 1948, carried out in accordance with the methods previously introduced by Pimentel Gomes and Malavolta (1949 a, 1949 b) and Pimentel Gomes (1950), proved: I. That Mitscherlich's law could be correctly applied to the data. II. That there was a statistically significant effect of lime on wheat yield. III. That the optimum amount of lime to be applied to the soil lies between 5 and 15 hundred kilograms of Ca(OH)2 per hectare. IV. That there is a migration of calcium from some plots to others, in such a way that the data obtained in 1947 and 1948 are not representative of the amounts of lime applied in 1940. V. That the analysis of variance can be used, as the Bartlett test shows that the variances at the distinct levele of lime application are not statistically different. It must be noted that, with improved variety and fertilization, the yield was rised to about 2500 kilograms per hectare in 1947, and 1600 in 1948, being only of about 100 kilograms per hectare in 1940.

Estudo sôbre a variação da produção leiteira na raça holandesa malhada de preto

The authors studied the effects of calving time, season and time elapsed after calving on milk production of the Holstein Friesian Breed of the "Escola Superior de Agricultura "Luiz de Queiroz" (Piracicaba, Brasil), 180 lactation periods of 300 days were studied, with 15 calvings in each month. Statistical analysis of the data proved : 1. That calving in May, June, July or August, that is, in the driest months, the cows give a milk production 17,3% larger than calving in December, January, February, March or April. August is the best month for calving, and February is the worst. 2. Spring is the most favorable, and Autumn the most unfavorable season for milk production. 3. The decrease of milk production during the lactation period depends largely on calving time. But, on the whole, linear regression can be used as a good aproximation, with a correlation coefficient r = - 0,9926 and a monthly decrease, per month elapsed after calving, of 8,06 percent of the general mean. 4. Diagram 1 shows the effects of calving month on milk production. The limits of 5%, 1% and l%o of probabilities are given there.

Sôbre um sistema de equações relativas a um modêlo matemático de populações de Himenópteros endogâmicos

This paper deals with the solution of a system of equations relating with a mathematical model of populations of endogamic Hymenoptera. The Author proves that, unless inequality (5.1) 4R5 + 8R R4 - 4R R³ + 8R² (R -1) R² - A a A a A a a A - R² (4R² + 4R - 1) R +2R³ < 0 a a A a is satisfied, one of the genes is eliminated from the population. He shows that the relative frequencies of different kinds of matings in the population can be obtained when the root R between zero and VRa of equation 2R4 + 2R³ -2R² (RA + Ra) - R(RA +Ra) + 2RA Ra =0 is known. In special, if we let b = RA / Ra > 1 , inequation (5.1) shows that we must have __________________ b³ + 2b² + b + V2b4 + 2b³ - 2b² + 2b Ra < __________________________________ = f(b) 2 (b4 + 2b³ + 2b - 1) The greatest value of f (b) is 0,75 and is obtained for b = 1, that is for RA = Ra.

Contribuição ao conhecimento de alguns Ithomiidae brasileiros, predadores de Solanáceas (Lep., Rhopalocera)

This paper is a small contribution to the knowledge of some species of brazilian Ithomiidae (Lep., Rhop.). The Author, during the year 1950, had an oportunity to study the development of the following species: Mechanitis lysimnia Fabr. Mechanitis polymnia casabranca Hsch. Dircenna dero Hübn. Methona themisto (Hübn.) The three first species live, in Piracicaba (State of São Paulo, Brasil), on Solanum variabile Mart., damaging its leaves, Mechanitis polymnia casàbranca being a serious enemy of this medicinal plant. The Author presents some notes on the biological cycle of M. lysimnia, which confirm D'Almeida's observations. Methona themisto is an old pest of Brunfelsia hopeana Benth. In Argentine, according to Hayward's observations, it occurs on Brunfelsia pauciflora Benth. The biology of this species previously has been studied by Figueiredo (1939). In Piracicaba it is not an enemy of B. hopeana on which it is reported to be so harmful elsewhere. The Author's observations were made in the Laboratory of Zoology of the Escola Superior de Agricultura "Luiz de Queiroz" in order to protect the larvae from the attack of their possible natural enemies. Notwithstanding, the Mechanitis polymnia casabranca caterpillars were attacked by an interesting Salticidae, identified by Hélio Camargo as Hasarius adan-soni (Audouin, 1827).

Influência do cloro, sôbre a composição do caldo da cana de açúcar Co 290, aplicado no solo, na forma de cloreto de sódio

Considering the economic importance of the sugar industry among ourselves, the authors carried out a field experiment (Latin square) with Co 290 sugar cane, on a white sandy soil of Piracicaba, State of São Paulo, Brazil, applying NaCl in increasing rates (from 6.8 to 54.5 grams per plant), in order to study the effects of chlorides, on productivity and on the composition of juice. No toxic or stimulating effect was found, and there was no change in yield, in degree of purity of the juice, in general aspect of plants or in colour of leaves and culms. No difference was observed between potassium sulphate or chloride, as source of potash for sugar cane culture. Data collected and the literature cited suggest: (a) that the use of the variety Co 290 is indicated for soils rich in chlorine, such as the saline soils of the North-east and Atlantic Coast of Brazil; (b) that it is necessary to extend studies in Research Institutes and Agricultural Experiment Stations of the country to verify the behaviour of other varieties of sugar cane in the types of soils mentioned, especially with respect their yielding capacity. The authors are already planning such investigations.

Estudo comparativo entre silagem de milho e cana taquara na alimentação suplementar de vacas leiteiras

The A. A. compare corn silage (Zea mays L.) with sugar cane (Saccharum sinensis Roxb.) in the supplementary feeding of dairy cow. Both the feeds were studied in relation to the following points: composition and nutritive value; influence of milk production, milk fat, milk acidity and body weight; cost of production. Both corn silage and sugar cane were analysed by ordinary methods, and their digestibility was determined by means of digestibility coefficients; their composition and nutritive value are, practically, equivalent, but silage showed slight superiority. The feeding experiment was carried out with two groups of six Holstein Friesian cows each, of the Escola Superior de Agricultura "Luiz de Queiroz" herd. Both groups were fed with the same basic concentrates mixture, calculeted according to MORRISON. During the various periods of the experiment, only the roughage supplement varied. The supplementary feeding consisted of 15 kg of chopped sugar cane or corn, silage, per day and per cow, given in two daily meals in the barn. At 4,30 p.m., the cows are set free in the field, where they pass the over night. The experiment was divided into six periods, in which there was a gradative change of the supplementary feeding between the two groups. The milk was weighed every day; the analysis of milk fat and acidity and the weighing of the animals, were made only on the first three days of every week. The analysis of data showed that: a) Milk production was increased significantly by silage feeding; b) The ri was not any influence on milk fat; c) The silage caused higher milk acidity; d) The sugar cane gave a greater increase of body weight. The cost of production of corn silage was 2,12 time higher, than sugar cane, hence, although the silage gave a higher milk production, its use is not economical, compared with sugar cane, in our conditions.