导出

The procedure estimating the regularization parameter is the same as that the adaptive Marquardt algorithm used. The Frechet derivative is directly derived from the forward methods: SAM and FEM. With the theory of SAM and Zhang′s geometric factor, the relationship between the Frechet derivative and the geometric factor is established, at the same time, one useful corollary is given, i.

选取正则化因子时，沿用自适应的Marquardt算法中阻尼因子的选取计算方法；计算Frechet导数时，根据逐次逼近解法和张氏几何因子理论，推导出了Frechet导数与张氏几何因子的关系，得出了Frechet导数为张氏一阶积分几何因子的结论。

Through the Radon transformation of the normally ordered Wigner operator we introduce two mutually conjugate intermediate coordinate- momentum representations. Based on them we construct the appropriate quantum phase space theory which includes the new Wigner operator adapting to this space and construct the appropriate generalized Fredholm operator equation and then find its solution. We then deriving the Hermite polynomials operator identities by applying the Fredholm equation. We also reveal the connection between the generalized Wigner operator and the 2-dimension normal distribution in statistics, which is useful to study the quantum tomogram. As the application of the entanglement Husimi operator theory we calculate the Wigner function and the Husimi function of the one- and two-mode combination squeezed state , study their characters through drawing the three-dimensional graphics.

由正规序Wigner算符的拉登变换引入了两个互为共轭的中介坐标-动量表象，在此基础上我们建立了相应的量子相空间理论，其中包括引入适合该空间的新的Wigner算符；并在该表象的基础上，建立了广义Fredholm算符方程，求出了它的解，并运用该方程导出有关厄米多项式的算符公式；揭示广义Wigner算符与统计学中的随机变量的二维正态分布形式上的相似，这对于研究量子态的tomogram(是英文Tomography的派生词)有用。

Rationale: Allows users to easily expose a class' data member or free variable such that it can be inspected from Python with a natural syntax.

原理：允许用户方便地导出类的数据成员，或自由变量，使之可在Python中以自然的语法进行查看。

Firstly, by means of multiple scale method the frequency response function of weakly nonlinear vibration system is derived.

首先，用多尺度法导出弱非线性强迫激励系统的频率响应函数。

An equation for calculating the Fresnel diffraction field of a grating under short-pulsed light illumination is derived.

首先导出了光栅在短脉冲激光照射下的菲涅耳衍射光场的方程，利用该方程分析了一个开口比为1：4的光栅的衍射光场。

In this paper, five equivalent conditions of the definition and five special nature of analytic function are given, and followed by their mutual equivalence of the proof , the relationship between the equivalent conditions and the nature of analytic functions is revealed, which can help us to learn the concept of complex variable function in deep depth and make analytic functions an important role in complex variable function.

本文依次给出了解析函数的五个等价条件及五个性质，并通过对它们相互等价性的证明，导出了解析函数等价条件与性质之间的关系，更加深入地揭示解析函数这一概念的内涵，展示出了解析函数在复变函数论学习中的重要性。

Focus from functional requirements analysis of the system, based on this derived model of the whole system framework.

重点从功能需求对系统进行分析，在此基础上导出整个系统的功能模型框架。

The functional by variational calculus leads to a set of elliptic partial differential equations,in particular,Poisson equations,which is possibly solved by numerical methods.

利用变分法可以从这个二次误差指标函数导出一组椭圆形偏微分方程泊松方程，这类方程有相当成熟的数值解法。

The basic features of digital baseline estimation for multi-channel pulse height analysis are introduced. The weight-Junction of minimum-noise baseline filter is deduced with functional variational calculus. The frequency response of this filter is also deduced with Fourier thansformation, and the influence of parameters on amplitude frequency response characteristics is discussed.

介绍了用于多道脉冲幅度分析的数字基线估计方法的基本特点，利用泛函变分方法推导了最小噪声基线滤波器的计权函数，利用Fourier变换导出了数字基线估计的频率响应，探讨了参数取值对其幅频特性的影响。

Based on Lyapunov functional theory and linear matrix inequality, the suffcient condition of delay-dependent guaranteed cost control law with time-varing is derived and the minimal cost supper is given.

基于Lyapunov函数的理论，并运用线性矩阵不等式导出了该系统时滞依赖的保性能控制律存在的充分条件以及最小性能上界。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。