带约束的增长曲线模型中线性预测的泛容许性

在二次损失下研究了带不完全椭球约束的增长曲线模型中未来观察值线性预测的泛容许性.根据线性可预测变量泛容许预测的定义和Φ函数的合理条件,得到了齐次和非齐次线性预测在对应的线性预测类中是泛容许预测的充要条件.

Abstract：

This article considers the general admissibility of the linear predictor of future observations in a growth curve model subject to an incomplete ellipsoidal restriction under quadratic loss function.According to the definition for general admissible predictor of a linear predictable variable and the reasonable conditions of function,the necessary and sufficient conditions for a linear predictable variable to be general admissible in classes of the homogeneous or inhomogeneous linear predictors are obtained.     

一般增长曲线模型中线性预测的可容许性

研究了一般增长曲线模型中线性可预测变量的最优预测，给出了可容许线性预测的定义，并分别在齐次线性预测类和非齐次线性预测类中得到了线性可预测变量的一个线性预测是可容许预测的充要条件．     

平衡损失下奇异线性模型中线性估计的可容许性

在平衡损失函数下,给出奇异线性模型中回归系数线性估计的可容许的定义,并得到齐次线性估计类中线性估计可容许性的充分必要条件.     

平衡损失下约束线性回归模型中回归系数的可容许估计

本文在平衡损失函数下得到等式约束模型中回归系数在齐次(非齐次)估计类中存在可容许估计的充要条件,给出带有不完全椭球约束模型中回归系数的线性估计在一切估计类中为可容许估计的充要条件.     

增长曲线模型中共同均值参数的线性容许估计和Minimax估计

研究具有共同均值参数的增长曲线模型，在二次损失下给出了共同回归系数矩阵的线性可估函数的线性估计，在给定的线性估计类中是线性容许的充要条件，同时给出了二次损失下共同回归系数矩阵的线性可估函数的惟一的线性容许Minimax估计。     

二阶变系数线性微分方程的解法

在已知二阶变系数齐次线性微分方程的一个非零解时，给出了二阶变系数非齐次线性微分方程的通解公式。     

n阶常系数非齐次线性微分方程的通解

为研究n阶常系数非齐次线性常微分方程解的问题，求证了n阶常系数非齐次线性常微分方程的通解和特解的积分表达式．利用韦达定理和一个变量替换，对n阶常系数非齐次线性微分方程进行降阶，导出该方程的一个用积分表示的通解公式，并根据特征根的不同情形给出了通解的各种形式及相应的通解和特解公式．     

常系数齐次线性递归数列线性空间

本文利用线性空间理论讨论了常系数齐次线性递归数列线性空间，并由常系数齐次线性递归数列的系数及其初始值求出其通项公式。     

一类n阶常系数非齐次线性微分方程通解的简单求法

利用算子解法,得到了一类n阶常系数非齐次线性微分方程的通解简便公式,相对于传统高等数学中惯用的待定系数法和工程中常用的Laplace变换法,该方法更简单.     

线性模型中参数的平衡LS估计及其性质

基于平衡损失的思想,提出了估计线性模型中的参数的一个新标准,给出了在此标准下模型参数的估计,并分别得到了该估计是无偏估计、有效估计和可容许线性估计的充分必要条件.     

确认—承认—兼认——科学研究的基础和研究方法的发展

“科学是能够联成一个系统的知识（或对于这些知识的研究）,通常要根据看见的和检验的事实,以及清晰表述的普遍性的自然规律”;而“知识（ｋｎｏｗｌｅｄｇｅ）”,无论在汉语中,还是在英语中,都是“通过知觉经验而熟识万事万物”,也就是熟识实事〔１〕．“看见的事...     

求解波动方程混合问题的通解函数延拓法

采用通解函数延拓法,即呆用特征线分割求解区域,然后利用边界条件,对波动方程的通解函数进行延拓,使得通解函数在求解区域内有定义,进而给出该问题在求解区域内解的显式表达式.     

西南桦人工幼林生长与立地条件的关系

根据样地调查资料，分析了西南桦人工幼林生长与立地条件的关系。结果表明：林分上层高和平均高与立地腐殖质层厚度、坡位（由山顶到山脚）呈正相关，与土壤紧实度和石含量呈负相关。通过逐步回归，建立了林分上层高、平均高与坡位、腐殖质层厚度和土壤石含量之间的方程，为西南桦人工林立地选择和立地质量评价提供了依据。     

State constrained control of impulsive quadratic systems in integrated pest management

In this paper, an approach based on the concept of finite-time stability is applied to the problem of designing optimal control strategies for an integrated pest management model with disease in the pest, which is subject to time-dependent impulsive control. The goal is to design a resetting law such that, given a set of admissible initial conditions, the state trajectories of the resulting impulsive quadratic system remain in a bounded region of the state space which is prescribed on the basis of some constraints on ecological balance and resource saving. The determination of an optimal resetting period, which is related to the release period of chemical pesticides, is reduced to the solution of a feasibility problem with linear matrix inequalities constraints.     

解半定规划的投影收缩法

首先将一般的半定规划扰动成二次半定规划,而后者在其对偶空间等价于一投影方程,然后提出了求解半定规划问题的投影收缩方法并且给出了全局收敛性结果.     

Divergent immunoglobulin g subclass activity through selective Fc receptor binding

Subclasses of immunoglobulin G (IgG) display substantial differences in their ability to mediate effector responses, contributing to variable activity of antibodies against microbes and tumors. We demonstrate that the mechanism underlying this long-standing observation of subclass dominance in function is provided by the differential affinities of IgG subclasses for specific activating IgG Fc receptors compared with their affinities for the inhibitory IgG Fc receptor. The significant differences in the ratios of activating-to-inhibitory receptor binding predicted the in vivo activity. We suggest that these highly predictable functions assigned by Fc binding will be an important consideration in the design of therapeutic antibodies and vaccines.     

关于G-FC空间的最佳容许集值映射的叠合点定理

作者定义一个包含FC-空间和G-空间为特殊情况的G-FC空间,而且获得了关于G-FC-空间的最佳容许集值映射的叠合点定理．应用这个新结果获得了一个在G-FC-空间中相互等价的KKM型定理和极大极小元定理．     

Cultivation Influences on Soil Organic Carbon Associated with Texture in Seasonally Frozen Zones

[Objective] This study aimed to examine indicative roles of texture representing soil organic carbon presence and variability subsequent to cultivation under cold temperate climates with seasonal freeze-thaw events.[Method] Three chronosequences were selected for paired comparisons.Soil samples were collected at six depths with a 10 cm increment.Analysis of variance with general linear model and regression was performed for statistical analysis.[Result] In seasonally frozen soils where fragmentation of macroaggregates was stimulated,soil organic carbon level was positively associated with clay ＋ silt proportion due to a wider textural range,better than sole clay content.Exponential function better fitted the experimental data to present progressively increased effectiveness of clay ＋ silt content in maintaining carbon.Clay content explained 12％-41％ and 14％-43％ of variation via linear and exponential functions,respectively.Accordingly,clay ＋ silt content explained 47％-65％ and 46％-70％.[Conclusion] Texture reflected soil organic carbon occurrence as consequences of reclamation.For seasonally frozen soils with wider textural ranges,it is robust to adapt clay ＋ silt content as dependent variable and exponential function.The generated algorithms provided an available pathway to estimate soil organic carbon losses following cultivation and to evaluate soil fertility.