Contents-index.

"Subject catalogue--arranged alphabetically."--Pref.

Attributes of irrigated rice as affected by soil sodicity and potassic fertilizer application

Soils of the coastal plains of Rio Grande do Sul, Brazil, are affected by salinization, which can hamper the establishment and development of crops in general, including rice. The application of high doses of KCl may aggravate the crop damage, due to the high saline content of this fertilizer. This study aimed to evaluate the effect of K fertilizer management on some properties of rice plant, grown in soils with different sodicity levels, and determine which attribute is best related to yield. The field study was conducted in four Albaqualfs with exchangeable Na percentages of 5.6, 9.0, 21 and 32 %. The management of KCl fertilizer consisted of the application of 90 kg ha-1 K2O broadcast, 90 kg ha-1 K2O in the row and 45 kg ha-1 K2O in the row + 45 kg ha-1 K2O at panicle initiation (PI). Plant density, dry matter evolution, height, SPAD (Soil Plant Analysis Development value indicating relative chlorophyll contents) index, tiller mass, 1,000-grain weight, panicle length and grain yield were evaluated. The plant density was damaged by application of K fertilizer in the row, especially at full dose (90 kg ha-1), at three sodicity levels, resulting in loss in biomass accumulation in later stages, affecting the crop yield, even at the lowest level of soil sodicity (5.6 %). All properties were correlated with yield; the highest positive correlation was found with plant density and shoot dry matter at full flowering, and a negative correlation with panicle length.

Efeito hormótico de gliphosate no desenvolvimento inicial de cana-de-açúcar

Efeito hormótico é definido como o efeito estimulante de pequenas doses de substâncias, as quais em doses maiores são inibitórias. Esta pesquisa objetivou verificar, em casa-de-vegetação, o efeito de subdoses do herbicida gliphosate no desenvolvimento inicial de cana-de-açúcar. Plantas de cana-de-açúcar foram obtidas de gemas isoladas plantadas em vasos plásticos de 2,5 L. Aos 50 dias após o plantio, gliphosate foi aplicado nas doses de 0; 1,8; 3,6; 7,2; 18; 36; 72; 180; 360 e 720 g e.a. ha-1. Aos 0 e 25 dias após a aplicação (DAA) foram avaliados altura da planta, número de perfilhos, número de folhas verdes, número de folhas secas e estimativa do conteúdo de clorofila (índice SPAD). Aos 25 DAA também foram determinadas a massa fresca e seca da parte aérea e raízes das plantas. O delineamento experimental utilizado foi o inteiramente casualizado com quatro repetições. A dose de 1,8 g e.a. ha-1 de gliphosate estimulou as características de crescimento no desenvolvimento inicial da cana-de-açúcar. Esse efeito hormótico poderá ser utilizado como manejo da cultura para obter melhor exploração do ambiente de produção.

A note on units of finite local rings in an ascending chain

In this paper we present matrices over unitary finite commutative local rings connected through an ascending chain of containments, whose elements are units of the corresponding rings in the chain such that the McCoy ranks are the largest ones.

The cohomological invariant E'(G,W) and some properties

Let G be a group, W a nonempty G-set and M a Z2G-module. Consider the restriction map resG W : H1(G,M) → Pi wi∈E H1(Gwi,M), [f] → (resGG wi [f])i∈I , where E = {wi, i ∈ I} is a set of orbit representatives in W and Gwi = {g ∈ G | gwi = wi} is the G-stabilizer subgroup (or isotropy subgroup) of wi, for each wi ∈ E. In this work we analyze some results presented in Andrade et al [5] about splittings and duality of groups, using the point of view of Dicks and Dunwoody [10] and the invariant E'(G,W) := 1+dimkerresG W, defined when Gwi is a subgroup of infinite index in G for all wi in E, andM = Z2 (where dim = dimZ2). We observe that the theory of splittings of groups (amalgamated free product and HNN-groups) is inserted in the combinatory theory of groups which has many applications in graph theory (see, for example, Serre [12] and Dicks and Dunwoody [10]).

Quaternion orders over quadratic integer rings from arithmetic fuchsian groups

In this paper we show that the quaternion orders OZ[ √ 2] ≃ ( √ 2, −1)Z[ √ 2] and OZ[ √ 3] ≃ (3 + 2√ 3, −1)Z[ √ 3], appearing in problems related to the coding theory [4], [3], are not maximal orders in the quaternion algebras AQ( √ 2) ≃ ( √ 2, −1)Q( √ 2) and AQ( √ 3) ≃ (3 + 2√ 3, −1)Q( √ 3), respectively. Furthermore, we identify the maximal orders containing these orders.

Fourier series for quaternions and the square of the error theorem

In this paper we introduce a type of Hypercomplex Fourier Series based on Quaternions, and discuss on a Hypercomplex version of the Square of the Error Theorem. Since their discovery by Hamilton (Sinegre [1]), quaternions have provided beautifully insights either on the structure of different areas of Mathematics or in the connections of Mathematics with other fields. For instance: I) Pauli spin matrices used in Physics can be easily explained through quaternions analysis (Lan [2]); II) Fundamental theorem of Algebra (Eilenberg [3]), which asserts that the polynomial analysis in quaternions maps into itself the four dimensional sphere of all real quaternions, with the point infinity added, and the degree of this map is n. Motivated on earlier works by two of us on Power Series (Pendeza et al. [4]), and in a recent paper on Liouville’s Theorem (Borges and Mar˜o [5]), we obtain an Hypercomplex version of the Fourier Series, which hopefully can be used for the treatment of hypergeometric partial differential equations such as the dumped harmonic oscillation.

Bulletin of the United States Geological and Geographical Survey of the Territories. F. V. Hayden, geologist-in-charge

Vols.2-4 (1876-78) annual, each volume consisting of 4 consecutively paged numbers. Vols.5-6 (1880-82) biennial, v.5 containing 4 consecutively paged numbers and v.6, 3 consecutively paged numbers

Poole's index to periodical literature,

Editors: 1802/1881- , W. F. Poole and W. I. Fletcher.