多函数

Software Description: XICalc is an integer calculator program with the following features: multiple precision integers with millions of digits; uses Hartley Transform to speed-up long multiplies; separate input and outputnotation, base 2 to base 36; greatest common divisor function; Modulo arithmetic options; Bernoullinumbers, Euler Numbers; Boolean functions; random number generator; prime factor algorithm using theElliptic Curve Method; number theoretic functions phi, sigma and tau; prime testing and searching using the Adleman function; algebraic notation; if-then-else statement; go-to statement; can run XICalc code from files; hot help from F1 key; and it抯 written in Microsoft Visual C#.

XICalc 是一款带有如下功能的综合性计算器软件：带有百万数位的多精度整数；使用 Hartley Transform 加速长整型多样化计算；以2到36为基数分隔输入和输出符号；最大公约数函数；模数算法选项；Bernoulli 数字；Euler 数字；布尔函数；随机数字生成器；使用圆周曲线算法的主要因素运算法则；π，τ，Σ的数字理论函数；使用 Adleman 函数的最初测试和搜索功能；代数符号；if-then-else 语法结构声明；go-to 语法结构声明；来自于文件的XICalc 代码；F1键的热点帮助；并且该软件是采用适用于 Windows 操作系统的微软 Visual C#。

There are many noise sources in measuring the seismometer transfer function, the main noise sources are investigated. The method of cross-special analysis is presented, flow process diagram of computing is given, the algorithms are discussed in detail, such as low-pass digital filter, computing of seismometer transfer function initial values, time domain convolution, bilinear transformation, estimation of power spectrum and cross-spectrum, window functions and preprocessing of measuring data etc.

在地震计传递函数测试过程中的存在多中噪声，本文分析了主要的噪声来源；介绍了用互谱分析方法测试地震计频率特性的基本原理和方法；给出采用该方法确定地震计传递函数的算法流程图；并对计算过程中采用的低通滤波器、地震计传递函数的初值确定方法、卷积运算方法、自谱和互谱估计、采用的窗函数和测试数据的预处理进行了详细讨论。

At first, the examples are given to explain a new method in signal processing, in which functions are defined from the viewpoint of multi-scale analysis. Then the authors present "coordinate heft separate" method, discover self-similar structure of points set on plain area; based on this self-similar structure, construct orthogonal complete 2-value function system of high-dimension simplicity; enrich and extend the theory and application of Rademacher function and Walsh function.

首先，举例说明在多尺度分析观点下，信号处理中某些函数定义的新方法；进而提出"坐标分量分离方法"，并由此发现了平面区域上点集坐标数值的自相似结构；在揭示了如此自相似结构的基础上，构造了高维单纯形上的正交完备的二值函数系统；丰富与推广了Rademacher函数及Walsh函数的理论及应用。

Based on much resolutional analysis wavelet threshold de-noising method ,an improved threshold function is proposed. it overcomes the shortcomings of the hard threshold with discontinuous function ang solves the problem of the permanent bias in soft threshold function,and it is more elastic than the soft threshold and hard threshold function.

在多分辨分析小波阈值去噪的基础上，采用了一种改进的阈值函数，克服了硬阈值函数不连续的缺点，解决了软阈值函数中存在的恒定偏差，并且具有软硬阈值函数不可比拟的灵活性。

Based on the tensor expression for the Breit-Pauli Hamiltonian,and with the aid of irreducible tensor theory,the theory of relativistic corrections to the non-relativistic energies of many-electron atoms has been generalized to the case in which Racah wave functions are the linear combinations of multi-Slater wave functions,analytic formulism for calculating the relativistic corrections,which include mass correction,one-and two-body Darwin correction and spin-spin contact interaction,has been derived,all th...

以Breit-Pauli哈密顿的球张量形式为基础，借助不可约张量理论，将多电子原子能量的相对论修正理论拓展到了原子的拉卡波函数为多个Slater基函数的线性组合的情形，导出了此情形下多电子原子能量相对论修正(包括相对论质量修正项、单体和双体达尔文修正项、自旋-自旋接触相互作用项)的解析表达式，完成了所有角向积分和自旋求和计算。

Based on the tensor expression for the Breit-Pauli Hamiltonian,and with the aid of irreducible tensor theory,the theory of relativistic corrections to the non-relativistic energies of many-electron atoms has been generalized to the case in which Racah wave functions are the linear combinations of multi-Slater wave functions,analytic formulism for calculating the relativistic corrections,which include mass correction,one-and two-body Darwin correction and spin-spin contact interaction,has been derived,all the angular interactions and spin sums involved in the problem have been worked out explicitly by using irreducible theory.

以Breit-Pauli哈密顿的球张量形式为基础，借助不可约张量理论，将多电子原子能量的相对论修正理论拓展到了原子的拉卡波函数为多个Slater基函数的线性组合的情形，导出了此情形下多电子原子能量相对论修正(包括相对论质量修正项、单体和双体达尔文修正项、自旋-自旋接触相互作用项)的解析表达式，完成了所有角向积分和自旋求和计算。

This paper discusses the defect of quadratic loss function and studies the models of inverted Normal and inverted Gamma loss function.

本文讨论了二次损失函数模型的局限，在此基础上研究了逆正态、逆伽玛损失函数模型；探讨了质量损失函数与信噪比的关系，提出了基于信噪比的多元质量损失函数模型，克服了单质量属性不能反映实际中多维质量属性的质量损失的弊端，实例证明该方法是可行的。

This problem involved many objective functions which had contradictions mutually and could not reconciled. According to different engineering requirements, the weighted and harmonic coefficient of each objective function was decided, and then it was changed to a single-objective optimization function. Engineering requirements on the system and related restrictions were given with the form of binding functions.

考虑问题所牵涉到的多个互相矛盾不可公度的目标函数，根据不同的工程要求，结合实践经验和计算经验确定各个目标函数的加权协调系数，然后将其表示为一个单目标优化函数；工程条件对系统的要求和相关限制，以约束函数的形式给出。

And giving the way to own the biggest coefficient in an inferior expansion; The third is that showing the mathematic expectation for multinomial distribution, covariance matrix, characteristic function as well as generating function; Finally, introducing some application instances about gaining maximum value and some simple applications of multinomial distribution in reality.

并且给出了M项N次多项展开式中最大系数的求法；3。介绍多项分布的数学期望、协方差阵、特征函数以及母函数；最后，介绍多项分布最大值求法的应用事例以及多项分布在实际中的简单应用。

By constructing a generalized function"helical solitary vortex function", the paper solves the stream function of the helical vortex tube with the help of vortex filament one, and obtains some analytical expressions for large single-vortex core and small multi-vortex core.

通过构造一类特殊的广义函数&螺旋孤涡函数&，解决了利用涡丝流函数求(来源：75AB67C论文网www.abclunwen.com)解涡管流函数问题，导出了大单和小多螺旋涡管流函数的解析解。

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起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。