结构函数

Secondly, based on the different structure characteristics and additional conditions, we study several kinds of inverse problems of pseudoparabolic equations. One is a kind of pseudoparabolic inverse problem of identifying a constant coefficient solved by combining the formal solution of the problem and the additional condition properly. The second is the pseudoparabolic inverse problems of identifying an unknown boundary function and an unknown source term solved by using the Riemann function method to get the formal solution of the problem and then using the additional condition to transform the problem into a Volterra integral equation of the second kind. The third is a kind of backward heat flow problem of nonlinear pseudoparabolic equation solved by combining the Riemann function method and the fixed point theory properly.

其次，根据不同模型的结构特点和附加条件，研究了几类伪抛物型方程的反问题：一是利用问题的形式解并结合附加条件，解决了一类伪抛物型方程常数系数的反问题；二是利用Riemann函数方法获得问题的形式解，利用附加条件将问题转化成求解第二类Volterra积分方程问题，解决了一类伪抛物型方程未知边界值的反问题和未知源项的反问题；三是将Riemann函数方法和不动点定理相结合，解决了一类非线性伪抛物型方程的后向热流问题。

The cross-correlation coefficients of the excitation functions for different atomic number Z and for different scattering angle θ cm have been deduced.

观测到激发函数具有耗散反应的特征涨落结构，分析了激发函数之间的长程角度关联以及强烈的电荷数关联。

To form the theory and method of hybrid refractive-diffractive optical design that can join to the Chinese conventional optical design system, the primary aberration theory expressed by PWC about HRD systems has been investigated, and the function relation between Seidel sums and P, W, C, between ∞,∞,∞ and the diffractive lens structure have been established.

为了形成与中国传统光学设计体系相街接的折衍混合光学设计的理论和方法，研究了PWC表示的折衍混合薄透镜系统初级像差理论，建立了赛德尔像差和数与P、W、C的函数关系，以及∞、∞、∞与衍射透镜结构的函数关系。

We first characterize the groups in which all m∈cdq〓 contain at most 4 prime divisors; and then show the following: if any m∈cdq〓 is nth-power-free then the derived length of solvable group G is bounded by a function f depended only on n; also if cdq〓 has k different p-parts then the p-length of solvable group G is bounded by a function g depended only on k.

首先研究了非线性不可约特征标对应的特征标次数的商至多含有4个素因子的有限群结构。其次，我们证明：若每m∈cdq〓是n次方自由的，则有限可解群G的的导长及p-长都被仅依赖于n的函数所界定；若cdq〓中共有k个两两不同的p-部分，则有限可解群G的p-长能被仅依赖于k的函数所界定。

In order to get the formulation,the B3 spline function is used to distribute the contact problem,and numerical examples are analyzed to show the effectiveness of the method.

该方法充分利用了样条函数的解析和数值双重性及连续性强的优点来构造杆的位移函数，因此可推广应用于分析结构在冲击荷载下的动力响应问题。

This method assumes a global embedding function in low dimensional space, then incorporates the relative compactness information of the data distributions on the global geometry to reconstruct sample data. Finally, the global low dimensional submanifold is obtained by minimizing the cost function.

该方法首先假定目标空间的整体映射函数，然后结合数据的全局几何结构分布信息进行数据重构，最后通过最小化准则函数来得到嵌入高维空间的低维子流形。

Since an arbitrary n variable fundamental symmetric function can be realized in terms of a tree construction expansion of the above generators,an arbitrary n ...

文中分别就变量数为奇数和偶数的情况进行了讨论。本文提出的对称函数综合方法在实现多输出对称函数时可获得较简单的电路结构

The mutiple-input mutiput-output logic function of vertex in state transition graph represents output of related state and the single output logic function represents state transition condition; we use a 8-tuple NetList to represent the structure implement of the result of controller synthesis.

状态转换图顶点中的多输入多输出逻辑函数表示对应状态的输出，图中边上的单输出逻辑函数表示状态转移条件；用一个八元组NetList表示控制器综合结果的结构实现，八元组包括输入符号，输出符号，状态存储器的输入，输出网络，状态转换网络，状态存储器，状态存储器的输出和状态存储器的初始输出。

By use of singularity functions, a new analyzing model of vertical member in structural analysis of high rise buildings was established, and the matrix equation was also presented.

介绍了奇异函数的特点，利用奇异函数建立了一种新的高层结构竖向构件分析模型，给出了基本柔度矩阵方程，并讨论了方程的基本性质和意义。

An object generator may be more useful than a plainconstructor when the exact type to be generated is difficult or impossibleto express and the result of the generator can be passed directly to afunction rather than stored in a variable.

当要产生的确切类型很难或者是完全不可能表达而generator的结构可以直接传递给一个函数而不是存储于一个变量中的时候，一个object generator可能比一个普通的构造函数更有用。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷