结构函数

The coordinate transformation and numerical integration was executed on the discretized tetrahedral elements based on which the 3-D MT vector-finite element method was implemented. A whole computation framework for 3-D vector-finite element method with unstructured mesh was given. Based on this some typical models were tested which has demonstrated that our algorithm could distinctively avoid problems caused by the fake solution and both the accuracy and efficiency were enhanced which made our algorithm has a bright future for further application.3. According to theory of Sobolev vector space and the discretization of Helmholtz space, the error estimate which was suitable for 3-D MT vector-finite element modeling was deduced by which the procedure of adaptive technique was guaranteed.4. Based on the fully unstructured tetrahedralization and optical strategy, the 3-D magnetotelluric h-adaptive vector-finite element method was presented through combining the error estimate. With this work, the accuracy and creditableness for 3-D MT complicatedly modeling was guaranteed.5. The 3-D magnetotelluric h-adaptive vector-finite element algorithm with unstructured mesh was implemented.

针对非结构化的四面体单元，采用坐标变换和数值积分方法，实现了MT三维矢量有限单元分析，建立起基于非结构化网格的三维MT矢量有限元计算流程，并对典型模型和国际标准电磁模型进行了数值模拟，结果对比和分析表明，基于非结构化网格的三维MT矢量有限元不仅消除了节点型有限元的伪解，而且具有很高的计算精度和速度，有广阔的应用前景。3、根据Sobolev函数的向量空间和Hemlholtz空间的分解，推导出基于残差的三维大地电磁矢量有限元后验误差估计公式，为三维大地电磁自适应矢量有限元数值模拟的实现奠定了基础。4、在完全非结构化四面体单元剖分及优化基础上，结合三维大地电磁矢量有限元后验误差估计公式，提出了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算策略，保证了对复杂大地电磁模型数值计算的精度和可靠性。5、实现了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算流程，对典型模型和国际标准电磁模型进行了数值模拟。

However, conventional design, crash simulation and experiment can only improve the structural crashworthiness to some extent, which can not assess the reliability of design parameters and the robust of objective function, at the same time, nor achieve a global optimization performance subjected to the preassigned probabilistie constraints.

耐撞性的优化涉及材料与结构的众多参数，传统的确定性优化设计、碰撞仿真及实验往往只能在一定程度上改善结构的碰撞性能，而无法评估设计参数的可靠性和目标函数的鲁棒性，以及在给定可靠性约束条件下使目标函数的鲁棒性达到最优状态。

The results show that the ladder-shaped IDT can overcome shortcomings of adding reflection grating or reflector to simulate the internal reflection of IDT in traditional design and simulation,greatly reduce complexity of the simulation with δ function model,imitate its internal reflection with evolutionary structure and then simulate with Matlab.

结果表明，该结构克服了传统设计仿真时需加入反射栅或反射器来模拟叉指换能器内反射的缺点，大大缩减了δ函数模型仿真的繁杂性，通过自身结构的优化来模拟叉指换能器内反射，并运用δ函数对其建模，然后通过Matlab对其仿真。

This is a reasonable method to investigate real polymer systems. The semiflexible model can capture the main features of aPS, and can semi-quantitatively describe the intermolecular correlation function, intramolecular correlation function, solubility parameters and x-ray scattering intensity for real aPS melt.

该模型能够抓住复杂的无规聚苯乙烯熔体的主要结构信息，可以半定量的描述各种条件下无规聚苯乙烯熔体的分子间相关函数、分子内相关函数、溶解度参数和x-光散射强度等结构和热力学性质，并得到了MD数据和实验数据的支持。

The five methods are tested on a 2-D test function ,a straight airfoil and a sweepback airfoil. For the straight airfoil,the paper constructs its approximation models of structure disciplinary, aerodynamic disciplinary and stealth disciplinary.

用这五种方法分别构造二维测试函数的近似模型，直机翼结构学科、气动学科和隐身学科的近似模型和后掠机翼结构学科、气动学科的近似模型，并总结这五种方法对二维测试函数、直机翼和后掠机翼各学科近似的适用性。

Then the structure unit of hexangular lattice is found according to the principle of invariable symmetry. Renormalization transformation is processed when we regard the structure unit and the growth model as graphs before and after transformation respectively. After choosing the11thermodynamic function fugacity as parameter, we can write out the partition functions before and after transformation and the formula of renormalization transformation. At the same time, we also work out the fixed points of transformation.

然后根据对称性不变的原则，从整体晶格中选取结构单元，把结构单元和生长模型分别作为重整化变换前、后的图形来进行重整化变换，选取热力学函数易逸度为参量，写出了重整化变换前后的配分函数和重整化变换关系式，求出了这一变换的不动点。

The method is as follows, at first, to calculate the frequency response function of structure corresponding every blasting syntony ponderance, then to calculate the response of structure under this syntony ponderance by using frequency response function, at last, the response of the whole system can be worked out by superposition.

计算方法是先计算每一爆破谐分量对应于结构的频响函数，然后用频响函数计算出结构在此谐分量下的响应，最后用叠加法得到整个系统的响应。

A and B isomers could interconvert each other by an inversion of the imine nitrogen atom. In this work, we investigated the substituent effects and solvent effects. This study used the most popular one of density functional theory method unrestricted hybrid Becke three-parameter Lee-Yang-Parr (B3LYP) with the 6-31+G basis set to compute the reaction and activation energies of B/A thermal isomerization.

腙分子的异构化过程藉由转动亚胺基上的氮原子，使腙分子由A 型结构转变成B 型结构(Scheme1)，本研究运用密度泛函数理论中最常被使用的B3LYP，搭配6-31+G基底函数，计算腙分子异构化过程的活化能以及反应热，并且考虑取代基与溶剂效应对能量所造成的影响。

The utility function of the integrated model was divided into two stages, choice set and alternative choice. The specification of factor structure was used to capture the individual heterogeneity and marketing positioning of the alternatives in the second stage, and the effects of new modes on choice behavior and market structure were studied by hypothesizing coefficients' specifications in the joint estimation process.

整合性模式的效用函数区分为选择集合及方案选择两阶段，而於方案选择效用函数中以因素结构的指定方式，考量个体偏好的异质性与方案的市场定位，并藉由联合估计过程中的系数假设，分析新运具对於旅运选择行为及市场结构的影响。

As to the aspects of constructing methods for hedonic price index, based on the comparison of the current methods, this paper classifies them into four varieties, pooling data index, cross section index, hedonic-price-function-based modeling index and hedonic-price-function-based quality adjustment index.

并按该定义，根据特征价格指数使用特征价格函数的材料不同和使用的数据结构不同，给出了特征价格指数的分类方法和不同分类的定义。2、根据特征价格指数使用特征价格函数的材料不同和使用的数据结构不同，划分出四种主要的特征价格指数编制方法，即截面数据特征价格指数法、合并数据特征价格指数法、特征价格模拟法和特征价格质量调整法。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。