公式的

The linear relationship between paternity index and avuncular index is exhibited.

当母亲的DNA未知时，可证明孩子的3种母系亲属的DNA在亲子鉴定中的作用是相同的，并得到计算相应父权指数的一般公式，以及检测或未检测母亲DNA时计算父权指数的一般公式，其中，对立假设既可以取"疑父是一随机男子"，也可以取"疑父是孩子的一位父系亲属"；同时还证明了叔伯系数与父权指数之间的线性关系。

Then,the paper analyzes common-mode voltage and output voltage range of operational amplifier influenced by temperature and process problems that may appea.

基于混沌、均匀分布的真随机数发生器的工作电路和精度要求较高的电压参考电路的温度漂移进行分析，给出了仿真得到的温度曲线；分析了工艺中可能存在的问题和温度的影响与运放的共模电压和输出电压幅度，以及与混沌公式直接相关的开关电容等，根据最坏分析得到混沌公式，给出了仿真测试结果。

This paper overviews the various algorithms for least square collocation, discusses the matrix QR decomposition, derives the relationship between QR decomposition and generalized inverse matrix, and obtains least square inverse used for calculating matrix. In addition, the estimation formula for least square collocation by QR decomposition and its accuracy formula are derived. A case study is conducted using gravity anomaly test and calculation to demonstrate that the QR method is correct and valid in least-square collocation calculation.

分析了目前采用的最小二乘配置法解算方法，在讨论了矩阵的QR分解方法的基础上，推导得出了矩阵QR分解与广义逆矩阵的关系，得出了可以直接利用QR分解求解矩阵的最小二乘逆，并推导了应用QR分解求解最小二乘配置的估值计算公式和精度估算公式，最后通过重力异常实例进行了计算，得出矩阵的QR分解用于最小二乘配置解算的正确性和可行性。

Interesting works include three parts,(1) deriving an elastic strain energy equation to discuss constitutive relations of various elastic symmetry systems, and to check out some errors in previous papers.(2) deriving effective elastic constants of EDA-PTL medium;(3) deriving and numerically studying the elastic wave rays angle dispersion phenomenon.

除了引用前人给出的公式外，本论文有特色的工作是：推导了一个应变能公式，给出了各种对称体系下的弹性本构形式，对前人给出的结果作了验证，指出存在的个别错误；对EDA构成的薄层介质各向异性弹性常数作了推导，给出了解析表达；对几种类型的各向异性体系的角散式进行了推导并作了数值计算。

One of the key techniques in Continuous Handwritten Character Recognition is how to model every word entry in lexicon and every sentence that made up by the words. Due to the HMM′s characteristic of time sequence modeling capability, a Cascaded Hidden Markov Models, which defines model connection probability and state transition probability between HMMs, is proposed in this study.

利用HMM对时间序列的较强的建模能力这一特点，提出了可用于连续字符识别的HMM级联模型；给出了字符HMM模型连接概率和模型间状态转移概率的定义，并通过修正训练算法的重估公式，重估字符模型的连接参数，描述了用于手写体识别的字符HMM的设计方案；给出了级联训练算法重估公式和级联Baum-Welch训练算法描述。

The Taylor formula holds the very important status in the differential calculus, especially in solves in some concrete problems to have the extremely important application, for instance the proof inequality, the judgment improper integral collects the divergence, asks the function the limit, asks the function the higher order derivative, determines certain complex progressions to collect the divergence, solves certain differential equation, as well as approximate calculation in and so on application, therefore this article will do the thorough research to these seven aspects.

摘 要：泰勒公式在微分学中占有非常重要地地位，尤其在处理1些具体的茄题中有10分重要的应用，比如证明不等式，判断广义积分的敛散性，求函数的极限，求函数的高阶导数，判定某些复杂级数的敛散性，求解某些微分方程，以及近似计算等中的应用，因此本文将对这七个方面做深入的研究。关键词：泰勒公式；不等式；广义积分；极限；高阶导数；复杂级数；微分方程

The interpolation formula can be compiled into standard computer code.

在此，我们首先论述了保单调性的插值方法，根据分布函数的逆函数具有单调性的特点，用保单调的插值曲线去逼近分布函数的逆函数，进而用得到的插值公式进行随机变量的抽样，这样做可以节省抽样的时间，并且在分布函数具有一定的光滑性条件时，插值公式具有比较好的收敛阶。

In order to obtain more general solution of second order linear differential equation with constant coefficients, which is important in theory and practice, on the basis of knowing a special of the second order linear differential equation with constant coefficients and by using the method of variation of constant, the second order linear differential equation with constant coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation with constant coefficients is derived.

为了更多地得到理论上和应用上占有重要地位的二阶常系数线性非齐次微分方程的通解，这里使用常数变易法，在先求得二阶常系数线性齐次微分方程一个特解的情况下，将二阶常系数线性非齐次微分方程转化为可降阶的微分方程，从而给出了一种运算量较小的二阶常系数线性非齐次微分方程通解的一般公式，并且将通解公式进行了推广，实例证明该方法是可行的。

Considering the randomness of the structural physical parameters and utilizing the random variable's functional moment method and the algebra synthesis method, the mean value and the variance of the mean square value of the structural displacement response under stationary random excitation are computed firstly from the expressions of structural stationary response in frequency domain. And then the expressions of the mean value and the variance of stochastic rigid frames dynamic reliability are educed from the Poisson formula of calculating dynamic reliability.

考虑结构的物理参数具有随机性，从结构随机响应的频域表达式出发，利用求解随机变量数字特征的代数综合法和矩法，导出随机参数刚架结构在平稳随机激励下的位移及速度响应均方值的数字特征，再由动力可靠性的Poisson公式导出结构动力可靠度的计算公式。

The maj or obj ect of this paper is the medium.small size concrete dams that have been used for many years.They have the characteristic that the alteration of water height of reservoirs is unobvious and the dams, displacements are affected mainly by temperature.With a case,the method of stepwise regression is used to analyze the vertical displacement prototyDe observed data.Then regression equation is established,the relation of dam,s displacement with hydraulic pressure、temperature、time effect is analyzed and the displacement change rule is obtained,the dam'S displacement onlv dependent to temperature is received.According to the theory of Finite Elements Method,the quasi-stationary temperature field formula and temperature stress formula are deduced.The QTP program and TFEM3D program are written with FORTRAN.The same case is calculated through QTP program to solve the quasi-stationary temperature and through TFEM3 D program to solve the dam'S displacement and find tlle dam,s deformation rule.This rule is accordant with the regression,S resuIt.

本文主要针对运行期间库水位变化很小、坝体的位移主要受温度变化影响的中小型混凝土坝，结合工程实例，采用逐步回归的方法对垂直位移原型观测资料进行分析，建立回归方程，分析坝体位移与水压、温度、时效之间的关系以及位移变化规律，分析结果坝体位移只与温度有关，而基本上不受库水位变化和时效的影响；根据有限元原理推求了混凝土坝准稳定温度场公式和温度应力公式，利用FORTRAN语言编制出QTP准稳定温度场程序和TFEM3D位移场程序，对大坝的温度场和位移场进行计算，求出坝体结点的变温值和坝体结点位移值以及单元应力分量，分析得到大坝的变形规律与实测资料以及回归统计变形规律一致，说明对坝体准稳定温度场的研究是正确的。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。