函数表示法

For the beam buckling problem, this paper presents the Barycentric Lagrange interpolation collocation method to get the differentiation Matrix of unknown function.

采用重心Lagrange插值多项式建立未知函数的微分矩阵，采用配点法将梁的控制方程表示为代数方程组。

Equal forms with multiobjective function optimization of composite structure,which is suitable for genetic algorithm solving, is constructed.

用评估函数法构造了适用于遗传算法求解的复合材料结构多目标优化问题的等价表达形式，给出了离散变量与连续变量混合优化问题解的染色体表示。

Equal forms with multiobjective function optimization of composite structure,which is suitable for genetic algorithm solving, is constructed. Expression of optimal problem with chromosome including discrete mixed with continuous variables are established.

用评估函数法构造了适用于遗传算法求解的复合材料结构多目标优化问题的等价表达形式，给出了离散变量与连续变量混合优化问题解的染色体表示。

In order to avoid the singularity in the integration, the integrand was expressed to be sum of complex exponential terms by using discrete complex image method. With generalized pencil of function method introduced, the number, location and intensity of images were obtained without extracting the quasi-static and surface wave terms in the integrand, which makes DCIM more efficient for multi-layered media.

为了避免积分中的奇异性，利用离散复镜像法将积分核用复镜像的指数求和式表示，引入广义函数束方法，可以在不提取积分核中表面波项的条件下，采用数值方法提取准静态项，给出复镜像点的数目、位置和强度，使得该方法在多层介质情况下对格林函数的计算更为有效。

Taking the first boundary condition as an example, it used the second order derivative of the junctions to represent the cubic spline interpolation function, and solved the relative equations with chasing method.

以第1边界条件为例，用节点处二阶导数表示三次样条插值函数，用追赶法求解相关方程组。

Basesd on the precipitation difference in Tsaidam Basin of Qinghai Province, three sampling areas, including Geremu, Delinghan and Doulan, were selected, and then three sapmling plots in each sampling area were selected to study the characteristics of plant community which dominated by Ceratoides lateens, Nitraria tangutorum, Tamarix chinensis, Kalidium gracile, Haloxylon ammodendron and Salsola arbuscula respectively. At the same time, the morphological and physiological features of above-mentioned 6 species were measured for probing their drought tolerance. By using the subordinative function method, grey correlative degree analyse and no-weight index comprehensive evaluation method, their drought tolerance were compared as well. The results were showed as follows: The main xeric vegetation types in the desert steppe of Tsaidam Basin were Nitraria tangutorum community, Tamarix chinensis community, Haloxylon ammodendron community, Kalidium gracile+Salsola arbuscula community, Ceratoides lateens+ Haloxylon ammodendron+Kalidium gracile community.

根据青海省柴达木盆地不同地区历年降水量差异，在研究区内选择格尔木、德令哈、都兰3个采样区，每个样区内确定3个采样点(表示为D11、D12、D13、D21、D22、D23、D31、D32、D33)，以样区内唐古特白刺、甘蒙柽柳、梭梭、木本猪毛菜、里海盐爪爪、驼绒藜等6种主要植物为研究对象，通过调查采样地区群落特征，观测植物形态解剖特征，测定植物脯氨酸、可溶性糖、叶绿素、超氧化物歧化酶、过氧化物酶和过氧化氢酶等生理指标，研究了柴达木盆地6种植物抗旱生理特性及抗旱特性，用模糊数学隶属函数法、灰色关联分析和非加权指数评价法分别对6种植物的各个抗旱性指标进行了综合评价。

This article, in the term of Eigenfunction method of Quantum mechanics, illustrated indetail the Irreducible representation (Irreducible representation marices) of Reprensentation group of computatile space group and the disposition of phase factor of Irreducible representation basis and the disposition method of plase factor of clebsch-Gordaw coefficients in the process of the computation.

利用量力学中的本征函数法详细讨论计算空间群的表象群的不可约表示及IR基时位的处理，以及讨论了C—G系数的计算中的位的处理方法。

Multi-output combinational logic functions are located on the Karnaugh map and the common parts of each function overlap on this map, which makes it easier to find congener common miniterms and merge them.

该化简法要求用一张卡诺图表示多输出逻辑函数，使得它们的共享部分在几何上相互重叠，为辨识同类共享最小项和合并提供了方便。

By introducing the NCP function, the KKT conditions of POPF system are transformed equivalently. Based on the transformed nonsmooth nonlinear algebraic equations, the FOSMM is used to determine the POPF model expressed by the numerical characteristic of variables. The model includes nonsmooth functions, so it can be solved by a semismooth L-M method based on the subdifferential.

将概率最优潮流表述为随机非线性规划问题后，利用非线性互补函数将该问题的KKT条件进行转化，基于转化后的非线性代数方程组，利用一次二阶矩法确定了以待求量的数字特征表示的概率最优潮流模型，由于该模型包含不光滑函数，因此采用基于次微分的半光滑L-M方法求解。

At the same time, according to the related theories, theoretical relation of soil water profile was established under the condition of ponded infiltration and limited soil redistribution, the results were verified with measured data and proved to be reasonable.

此外，研究表明，导热率与土壤含水率、土壤水吸力、含盐浓度之间均存在良好的幂函数关系；在取得一定温控条件下的土壤水分与温度分布实测资料的基础上，根据Philip经验方程，通过差分法计算得出温差作用下的水分扩散率，该参数可表示为温度的幂函数形式。

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。