基本不变量

When the production function was general, using theory of control and theory of stability, this paper discussed the production effect of government expenditure and fiscal policy, and got the expression of economic growth rate and structure stability of the economic variables when the production function was constant return to scale or increasing return to scale or decreasing return to scale, and pointed out how the interrelated parameters affected economic growth rate.

摘 要：在生产函数为一般形式时，利用控制论及定性理论的基本方法，讨论政府支出的生产效应和此时的财政政策。得出了当生产函数为规模收益不变、递增和递减时，经济增长率的大小及此时相关经济变量的定性结构，并指出了各种情况下相关参数如何对经济增长率产生影响。

The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有：（1）证明了带有反射不变测度的球面调和展开蔡沙罗平均算子的L1有界性，给出了收敛指标的特征刻划，对不在奇性平面上的点，还证明了点态收敛性，这些成果同时推广了经典球面调和展开和雅可比展开的结果；（2）利用Dunkl型的微分-反射算子建立了一类斯特姆-刘威尔算子的测不准原理，并由此得到一些著名的经典正交展开如雅克比展开、赫米特展开和拉盖尔展开的测不准原理；（3）利用由两个变量的微分-反射算子定义的柯西-黎曼方程组来研究扩展雅克比展开的调和分析，证明了共轭扩展雅克比展开的Lp有界性和弱L1有界性，特别是对小于1的一些指标p，建立了相应的哈代空间的基本理论。

Analysis results on townships and villages general statuses showed township health center and village clinic are the major health care facilities in rural poor areas. The number of staff in 36 THCs and 104 VCs were a little lower than the national average. In township health centers, 59. 9% staff are with primary or without any professional titles and 35. 9% of the total staff have no professional degrees. The average gross value of fixed assets per THC is 186000 yuan, among which special equipment values 41000 yuan. Among professional buildings 43. 3% of total area were dangerous. Only one THC can provide emergent service. 47. 2% THCs be able to diagnose and deal with common emergent stomachache. The provision of health services was lower than average level of national rural areas. Frontier Model analysis showed regression coefficients of total outpatient emergency service, total inpatients, average personnel income, number of total staff, number of doctors and technical index were all larger and positive. It meant that these variables would contribute more to the cost-frontier, and their increase would cause the total health cost rising. So increasing health service provision, improving service quality and functions of health facilities may be the best ways to increase efficiency of these facilities. Also the model showed THC inefficiency eu was 1. 68, which means 40% of the cost wasted. Apart from internal and external factors, residents'health care utilization deficiency and inequity is one of major factors causing inefficiency eu.

乡、村基本情况结果表明，农村贫困地区乡卫生院和村卫生室是农民就近就医的主要场所；36所乡卫生院以及104所村卫生室的人员数量，略低于全国同期农村平均水平；在乡卫生院中，初级职称和无职称者的比例占59.9％，无专业学历者占35.9％；平均每院固定资产总值18.6万元，其中专用设备4.1万元，业务用房中危房面积占43.3％；36所卫生院中，具备急救条件的只有1所，能诊断和处理常见急腹症的占47.2％；卫生服务提供量均低于全国农村平均水平；Frontier模型方法显示，总门诊人次、总出院人次、平均人员工资、人员总数、医生数和技术指数等指标的回归系数较大，且均为正数，即这些变量对"前沿"成本的贡献较大，其正向变化均会带来卫生服务总成本的增加，表明增加卫生服务提供量，提高质量以及完善机构服务功能，是提高乡卫生机构效率的有效途径；同时Frontier模型结果显示，卫生院的低效率〓为1.68，经换算即40％的成本处于浪费状态；影响乡卫生院低效率〓的因素有外部和内部的，而需方卫生服务不公平及利用不足是其主要因素之一。

In the formulas of stochastic input and output, when the coefficient of direct consumption and final demand are exponentially distributed, the interrelationship between parameters of stochastic variables can be divided into three types: all the parameters are the same; parameters are inequivalent to each other; some of the parameters are the same, but the rest are inequivalent to each other.

在随机投入产出方程中，当直接消耗系数和最终需求为指数型随机变量时，方程中随机变量分布中参数间的关系有3种基本情况：所有参数都相等、所有参数两两不相等、有部分相等而其余则两两不相等。实际上，前2种情况是第3种情况的特殊形式。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。