函数的积分

Lower order and proximate lower order of Dirichlet setries and random Dirichlet setries convergent on left half plane;2. The present paper gives lower side bitangent Laplace Stieltjes transformation and integral,θ linear lower order and proximate lower order of the analytic function defined by this transformation.

给出下侧二重 Laplace- Stieltjes变换与积分以及由该变换所定义的解析函数 f的θ线性下级与准确下级的定义；通过引入递减负实数列{λ- m}与{μ- n}，建立 f的θ线性下级存在的充要条件及其θ线性下级的下型与θ线性下级及其系数与指数的关系。

In the method,thematrix exponential is calculated precisely by using 2N algorithm and the integration offunctional matrix by parts is applied.

首先依据常微分方程的经典理论，运用指数矩阵的2N类精细算法及函数矩阵的分部积分法建立数值求解常微分方程的一般方法。

We proposed theautomatic and semi-automatic inverse Laplace transform methods and acriteriar for the optimal choice of transform parameters.24 numerical inverseLaplace transform formulas are compared for 16 different problems that haveexact solutions.

利用流行的数值积分方法，如Newton-Cotes求积公式、Gauss求积公式和振荡函数求积公式，共构造了24种Laplace逆变换方法。然后以16个有工程应用背景的Laplace逆变换问题为例，比较了这24种方法的优劣，得到了一些新的结论。

Application of HHGL to lithium atom As a starting point for exactly solving schrodingerequation for lithium,the part has twofold purpose,one isto derive the coupled hyperradial differential equation,and discuss whether HHGL can be used or not,the other isto build the symmetric basis functionfor twodimensional irreducible representation of 〓 permutationgroup and estimate the ground-state eigenenergy.

首先根据Pauli原理的要求，将N电子原子的波函数向〓群不可约表示之基展开，积分掉角度部分，推导出N电子原子的超球径耦合微分方程，其形式与氦原子耦合微分方程相似，差别表现在矩阵元〓的计算上。

A definition for the statistical significance of a signal in an experiment is proposed by establishing a correlation between the observed p-value and the normal distribution integral probability, which is suitable for both counting experiment and continuous test statistics.

基于实验测量的p值和正态函数积分概率之间的对应关系，提出了实验测量中信号统计显著性的定义，它对于"计数"实验和连续检验统计量这两种情形都适用，并给出了计算信号显著性的相应公式。

And an iterative sliding mode-PID control method is presented for a class of nonlinear perturbed system, in which the sliding mode VSC method is iteratively applied based on system output feedback.

该方法通过对系统输出迭代设计线性滑模函数，并引入传统PID控制，综合了滑模变结构控制与PID控制的鲁棒性强的特点，避免了传统PID控制积分引起的超调以及变结构控制的抖振问题。

Integral equation was used 10 calculate the expected duration of stay among four states. Probability generating function was used to get the expected number of patients among four states.

运用最大似然方法估计各状态间的转移强度，利用微分方程推导各状态间的转移概率，并应用积分推导了患者在各个状态的期望逗留期以及利用概率生成函数推得每一状态的期望患者数。

The matching function between two signals can be defined as the composition of one signal's Schwarz representation and the other's inverse.

两个信号之间的匹配函数可以定义为一个信号的许瓦兹积分和另一个信号的逆的简单复合。

By adopting its complex variable solutions, the stress solutions of dislocation in bi-material on the whole plane were worked out, integration of which along the crack line would lead to the basic stress solutions in Cartesian and polar coordinates system of an bi-material incline crack.

应用两相材料中点位错在全平面的复势函数解，导出了两相材料中点位错在全平面的应力场解，进而将该解沿裂纹线积分得到倾斜裂纹的直角坐标及极坐标应力场基本解，同时利用该基本解退化出单根界面裂纹的直角坐标及极坐标应力场基本解。

This dissertation applies 3-D finite element theory to development of the shape functions and stiffness matrixes of the triangular prism isoparameter elements (6 to 15 nodes). A calculating method for Gaussian integral in triangular prism is presented.

本文应用三维有限元理论，构造了一类五面体6～15节点单元的形函数，提出了在五面体单元内的Gauss积分处理方法，建立了相应的单元刚度矩阵，将其与六面体8～21节点单元结合，可用于计算焊接钢结构的应力场。

This paper discusses design and realizable methods of remote test output interface from logical design angle.

本文从逻辑设计的角度讨论遥测输出接口的设计及实现方法。

This also 星体投射plies to buildings, structures and geological features.

这也适用于建筑物和地质特征。