查询词典 function of functions

Based on Collins integral formula and the expansion of the hard aperture function into a finite sum of complex Gaussian functions,the approximate analytical expression of the diffraction field of Gaussian beam by a circular disc is derived,and its characteristics are analyzed by the numerical calculation and numerical simulation.

基于圆孔光阑函数展开为复高斯函数和的方法，用Colins积分公式，导出了高斯光束照射下圆盘衍射的光场近似解析表达式，经计算机数值计算，对高斯光束照射下圆盘衍射的衍射特性进行了详细的分析

By using the method of expanding the aperture function into a finite sum of complex Gaussian functions, approximate closed-form propagation equations of TMn0-Gaussian beams diffracted by hard-edged parallelogram aperture s are derived.

通过将硬边光阑函数展为复高斯函数之和的方法，在直角坐标系下研究了TMn0模高斯光束通过有平行四边形光阑的衍射，得到了近似的解析传输公式。

The propagation of cosh Gaussian beams through a first order paraxial optical system with rectanglar hard aperture is studied. By using the expansion of the rectangle function into a finite sum of complex Gaussian functions a closed form propagation equation of cosh Gaussian beams is derived.

对双曲余弦高斯光束通过有硬边光阑的一阶ABCD光学系统的传输进行了研究，采用将矩形域函数表示为复高斯函数叠加的技巧，推导出了解析的传输公式，在特殊情况下，该公式简化为在无光阑情况下的传输公式。

After introducing the mechanism of seismic displacement control with dampers, 3 kinds of assessment functions for seismic response control effect are formulated based on the seismic response characteristics of longspan suspension bridges and a new optimal placement method of dampers using penalty function and first order optimization theory is proposed.

从地震位移控制的原理出发，根据大跨悬索桥结构地震响应的特点，建立了其地震位移控制效果的3种评估函数，提出了一种基于罚函数和一阶优化原理的阻尼器最优布置方法。

Additionally, considering the additive methods with one evaluation function, we give the range of weights that ensure the fixedness of alternatives rank by the limited conditions on evaluation functions making sure the rank invariability on alternatives.

该方法通过给出有限方案集的非劣方案、潜在最优方案、邻近潜在最优方案以及竞争方案等定义，以Euclidean空间的距离为测度，用可变参数的最小参数变化量来描述任意方案到当前最优方案间的距离，给出了以距离为基础的定量化敏感性指数，并以竞争方案到当前最优方案的距离来衡量当前最优方案的敏感性。

Firstly, the author establish the functions of stability on the basis of the spline function method ,according to the theory of geometrical nonlinear and the theory of stability, educe the stability equation of structure based on variational principle, then carry through the flexuosity analysis of CFST arch.The big distortion geometrical nonlinear was considered by the stability equation,the author simplified the problem of geometrical nonlinear through ignored quadratic term and reserve the simple term, at last boiled down to solve the linear stability equation of eigenvalue .

利用样条函数方法、根据几何非线性变形理论和结构稳定性理论，先建立起结构稳定的泛函，再由变分原理导出结构的稳定方程，进行钢管混凝土拱屈曲分析；本文所建立的稳定方程考虑了几何非线性的大变形效应，通过忽略几何非线性的二次项，保留一次项，将几何非线性问题简化，最后归结为求解线性稳定问题的特征值稳定方程，建立了结构非线性静力稳定性问题的新算法及失稳类型判别准则。

In the times of rapid development of globalization and informationization, the National People's Congress should make more efforts to increase its initiative and foresightedness in legislation, strengthen its supervision in the making and implementation of foreign policies, practically perform its function to express and aggregate the will of the people, and develop parliament diplomacy, so as to exercise its diplomatic functions more effectively.

在全球化和信息化日益发展的时代背景下，全国人大应在增强立法的主动性和前瞻性、加强对外交政策制定和执行的监督、切实发挥民意表达与聚合的功能及加大议会外交的力度等方面做出努力，以有效地发挥其外交职能。

We give some equivalent characterizations of Bloch type functions in term of fractional derivative, via studying the relative of growth of the different order fractional derivatives of holomorphic function, including the form of supremum and limit, the form of integral and Carleson measure, which are the generalizations of some known results in the unit disc and in the unit ball.

我们从研究全纯函数分数次导数的增长性入手，利用分数次导数给出了它的一类刻画，包括上确界和极限形式的特征，积分形式的特征以及Carleson测度形式的特征，推广了单位圆盘和单位球上一些已有的结论。

System to use serialize function sequence of the mouse documents and paintings of some simple graphics functions.

实现利用serialize函数序列化文档和鼠标画一些简单的图形的功能。

PLC is the first relay system to replace the role of the emergence of the realization of its main function is just the logical sequence of simple control functions.

最早的PLC是以替换继电器系统的角色出现，其主要实现的功能仅仅是逻辑简单的顺序控制功能。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。