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Water deficiency sensitive index; water production function; optimal irrigation schedule; dynamic planning model; non-linear model

农业科技，农业基础科学，农业数学缺水敏感指数；水分生产函数；灌溉制度优化；动态规划模型；非线性规划

The result shows that: The variation rhythm of the sensitivity index changed unanimously for Jensen,Blank and Stewart water production functions of spring wheat in Liangzhou city,the volume is small in the former stage,then become large at the middle stage,and less at the last stage. Jensen and Stewart water production functions are better of spring wheat in Gulang County in 1987-1989. The Variation rhythm of water deficiency sensitive index is unanimous: the volume are small at first,then large at middle,and diminish at last. The Variation rhythm of water deficiency sensitive index is unanimous in Jensen,Blank and Minhas of flax in Liangzhou county in 1987-1989. The water deficiency sensitive index in Gulang district in 1987-1989 models bad,are too many minus. 3 Establishing the non-linear model to definitive the irrigation quota and dimension of single crop,according the three prototype Precipitation,allocating the limited water optimally according to full water supply,95 percent,75 percent and 50 percent. Economy benefit is the biggest aim function,so getting three groups for irrigation quota,irrigation dimension and benefit,the biggest benefit is the most optimal result.

结果表明：1985-1986 年凉州春小麦Jensen 模型、Bl(来源：10a1ABC论文网www.abclunwen.com)ank 模型和Stewart 模型的敏感指数变化规律接近一致，在前期较小，中期增大，最后再减小。1987-1989 年古浪春小麦水分生产函数以Jensen 模型和Stewart 模型拟合较好，其敏感指数变化规律比较一致，敏感指标值前期较小，中期增大，后期又减小。1983-1985 年凉州亚麻水分生产函数以Jensen 模型、Blank 模型和Minhas 模型敏感指标值变化规律比较一致：先减小，后增大，最后再减小。1987-1989 古浪亚麻敏感指数出现负值较多，模型拟合较差。3 建立单作物种植条件下灌溉定额与灌溉面积的确定的非线性规划模型，将有限的水量按照充分供水，95%、75%和50%供水来分配水资源，以经济效益最大为目标函数，得出三组灌区灌溉面积和效益结果，其中以效益最大为最优解。

Optimal calculation of definite integral can be obtained by combination of the odevity of function and the symmetry of integral domain.

定积分的计算是高等数学的重要内容之一，但在积分计算时可以结合积分区域的对称性和被积函数的奇偶性来简化计算。

In a special case of 2 dimensional variables, the probability of the positive definitiveness of the discrete sample covariance matrix is given in term of sample size and variable dimension. Based on the results, the optimal sample size is provided in this thesis.

推出了离散型样本协方差矩阵正定的充要条件，得到了求离散型样本协方差矩阵正定概率的模型，建立了特殊情况下的抽样优化模型。

Numerical examples are studied to demonstrate the accuracy of the proposed method and to investigate the distribution of the optimal stiffness of the elastic restraints, the deformation of the elastic restraints and deflection of the stiffened plate for stiffened plate with different number of stiffeners, different cross section of stiffeners and different thickness of plate.

本研究利用牛顿法提出一个数值程序以求得使目标函数有最小值且满足拘束条件的弹性支承刚度，即求得最佳化的弹性支承刚度。本研究以数值例题探讨不同加劲板之最佳化的弹性支承刚度，弹性支承变形的分布及加劲板的最大挠度。

It was found that optimal testing condition is that sample weight,degas temperature and degas time are 0.3—0.5 g,250 ℃,2 h respectively.

反映粉末表面积和形态的一个物理参数———比表面积(每单位试样具有的表面积大小)，是一项很重要的物理特性。

Taking the process of grooving as an example, the optimal solution is worked out with objective simplex method. The degree of approximation between every objective function and given corresponding target value is observed.

以切槽车刀的车削为实例，采用目标单纯形法求得其最优解，确定了每一个目标函数与事先给定的对应目标值的逼近程度。

Aimed at the evaluation question with only fuzzy judging matrix but without experts' weights, impersonal weights is given according to the attribute importance, by constructing the approximation degree of the evaluated object to ideal points, the most optimal scheme is selected.

针对只有模糊评价矩阵而没有专家权重的情况，根据属性的重要性确定约简后指标的客观权重，通过构造被评对象到理想点的贴近度，对多个方案进行优选评估。

The optimal and worst solutions of each objective function are obtained, and the solution with the earliest start-time under the fewest number is found. A series of noninferior solutions that have the earliest start-time are obtained after increasing the number of selected depots continually. The original model can be converted to search for a solution that has maximum approximation degree of positive-negative perfect point.

分别求出各个目标函数的最优解和最劣解，寻找使出救点个数为最优情况下使应急开始时间最早的解，在此基础上增加出救点的个数继续寻找，并将备选出救点集合缩小为运输时间小于上一次应急开始时间的出救点；得到一系列非劣方案后，对各目标函数按照具体情况赋予一定的权重，将原问题转化为求解使正负理想点接近度最大的非劣调度方案。

The idea creator's optimal choice on residual claims is positively correlated with both how he anticipates the operator's ability and how efficient he could monitor the operator. The returns to the idea creator and the operator are negatively correlated with the degree of information symmetry and the amount of insolvency remnant, but are positively correlated with the levels of asset prices.

就企业家合约生成而言，创意者和经营者的结合形成一个联体企业家，创意者对剩余索取权的最优要求随自己对经营者才干的预期以及对经营者的监管效率的增加而提高，经营者、投资者对其资产报酬的要求与信息对称程度、失败残值大小呈反向关系，而与资产价格指数呈正向关系。

Methods: Five patients with parkinsonism or dystonia were assigned to general anesthesia using an modified endotracheal tube.

本实验依照人体实验之相关规定进行，五位患有帕金森氏症或肌张力异常的病人接受神经立体定位手术。

If you can benefit from this book, it is our honour.

如果您能从本书获益，这将是我们的荣幸。