单位圆内无穷级亚纯函数的T-半径和Borel半径

设E1={arg (z)=θj∣0≤ 1<θ2<…θq1<2π},E2={arg (z)=(p)j∣0≤ (p)1<(p)1<…<(p)1<(p)2<2π},且E1∩E2=φ,q1和q2是任意正整数.证明了(1)存在△内下级为任一正数的无穷级亚纯函数f(z),恰以E1 ∪ E2为其T-半径且恰以E2为其Borel半径;(2)存在△内下级为无穷的亚纯函数g(z),恰以E1 ∪ E2为其Borel半径且恰以E2为其T-半径.     

Assessing components of a competition index to predict growth in an even-aged Pinus nigra stand

The relationship between tree growth and competition may depend on some subjective choices that are commonly left to the researcher. Among these are the neighborhood radius, the number of years of growth that are integrated, and tree age. We have evaluated the importance of these factors when relating growth and competition in a forest stand with contrasted densities of the dominant tree species (Pinus nigra) and understory shrub species (Adenocarpus decorticans). Previous to this evaluation we performed a randomization test to assess the relationship between tree growth and neighbors. By using Daniels index of competition we found that the use of a fixed neighborhood radius underestimated the importance of tree competition. The coefficient of determination (r²) of the relationship between tree growth and Daniels index increased asymptotically with the number of years considered. Five years of growth gave high r² independently of the density of trees and shrubs. The intensity of competition was weakly affected by the characteristics of the plot (tree and shrub densities), and did not change with time. In contrast, the potential growth at equal competition – as represented by constant a in the allometric model – changed with time suggesting a gradual decrease in potential tree growth in the plots with higher tree density, and a gradual increase in those plots with high density of shrubs. These results may reflect tree canopy closure and the senescence of Adenocarpus decorticans. A method is suggested to select optimum neighborhood radius and growing period for the calculation of competition indices. By applying this method we were able to explain as much as 79–84% of the variability in tree growth of this stand.     

应用离子基本参数计算离子水化各过程的相互作用能

应用离子带电荷数和离子半径等参数，计算了离子水化各过程的能量，结果表明，离子水化过程中的能量，由在离子作用下的水分子取向极化热、取向极化过程中破坏水分子的氢键所消耗的能量和离子表面径向排列的水分子之间的势能３项构成，在极化能力和极化率都较小的离子中的其计算误差，Ｌｉ＾＋为－２．９％，Ｎａ＾＋０．２％，这表明水溶液中离子的微观结构正是离子在水中的真实结构。