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This paper introduces the definition of common quadratic Lyapunov functions and proves that the set which consists of all the common quadratic Lyapunov functions is a convex cone .

给出了共同二次Lyapunov函数的定义，并证明了全体共同二次Lyapunov函数所组成的集合是凸锥

There are a large number of non-convex functions in practical problems, and they have similar nature in the non-linear programming as convex functions.

实际问题中的大量函数都是非凸的，它们与凸函数在非线性规划中有一些相似的性质。

By the perturbation theorem of cosine operator functions,one perturbation result for C-cosine operator functions is obtained.

而对于扰动问题的研究向来是十分重要的，因为这类研究是获得丰富理论的基本途径之一。

The definitions of generalized directional derivative and generalized gradient of Lipschitz functions defined on Riemannian manifold are presented. Some properties of the directional derivative and gradient are proved by using tangent and cotangent mapping. The minimization necessary condition of nonsmooth Lipschitz functions is given. Moreover, Fritz John necessary optimality condition in mathematical programming is provided on Riemannian manifold.

在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念，利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则，证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素，并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件。

Based on the analysis of models proposed, the cumulative distribution functions and probability density functions of strength of systems were derived respectively.

在研究系统可靠性模型的基础上，建立了系统强度的累积分布函数和概率密度函数。

Although cursor movement is a general operation shared by all these functions, the specific nature of that movement is unique to each of these functions.

虽则这几个函数共享的一般性动作都是光标移动，但特殊的移动性质却互不相同。

Based on them, the simulation system of UAV decimeter wave instrument landing system was designed with the support of LabView's abundant graphic functions and powerful mathematics functions.

以此为基础，充分利用虚拟仪器软件lab View的图形功能和数学计算功能，设计了无人机分米波仪表着陆系统的虚拟仿真系统软件。

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.

结果表明：1985-1986 年凉州春小麦Jensen 模型、Blank 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。

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。

A new approximation function based on the coupling of radial basis functions and polynomial basis functions is obtained, which has the property of Delta function.

径向基函数和多项式基函数耦合可以构造具有插值特性的近似函数。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。