查询词典 sum formula

In the fourth chapter, firstly it introduces the Boolean functions algebraic expressions of the 2-value clock-controlled stop-and-go generator and Gunther generator. It reveals the balanced property of the two kinds of Boolean functions, and studies the Walsh cycle spectrum and the autocorrelation function. It also obtains the coincidence rate of their output sequences with affine sum of some bits of input sequences, and analyzes their ability of resisting the best affine approximation cryptanalysis and differential cryptanalysis. Secondly, we properly present a new definition of the Best Affine Approximation, namely BAA on the Boolean vector functions, followed by the spectral characteristic of such defined BAA attacks through using the decomposition formula of the union distribution for random variables. A lower bound of such BAA attacks is proposed. Finally, we also study the spectral characteristic of the second kind of nonlinearity of Boolean vector functions, followed by a higher bound of such nonlinearity. Furthermore, the limited relationship between the second kind of nonlinearity of Boolean vector functions and the linear structure of the linear combination of every component is analyzed.

在第四章中，首先给出了2值密钥流"停走生成器"和"衮特生成器"中实际存在的布尔函数的代数表示，揭示了这两类布尔函数的平衡性，随后研究了它们的Walsh循环谱和自相关函数等，得到了它们的输出序列与输入序列中的某些bit的仿射项的符合率，分析了它们抵抗最佳仿射逼近攻击和差分攻击的能力；其次，我们合理地给出了布尔向量函数最佳仿射逼近的新定义，利用布尔随机变量联合分布的分解式考察了相应的谱特征，并给出了布尔向量函数与其最佳仿射逼近的符合率的一个下界；最后，我们还考察了布尔向量函数第二类非线性度的谱特征，给出了布尔向量函数第二类非线性度的一个上界，并揭示了布尔向量函数第二类非线性度与其各个分量的线性和的线性结构之间存在的制约关系。

By using the idea of time value of fund,the simple interest and compound interest sum of years digits method of depreciation is deeply studied,and the specific formula is given.

运用资金时间价值的思想，对单利年数和法、复利年数和法进行了深入研究，给出了具体应用公式，进行了比较分析，并通过示例加以说

In this paper, we mainly use complex semisimple algebras knowledge. First, we give the structure formula of C. Second, we show that any n x n symmetric matrix A is congruent under the symplectic group to the direct sum of a identity matrix and a tridiagonal matrix.

记正交代数和辛代数的交集构成的李代数为L，本文主要是运用复半单李代数的知识，首先给出了L的结构公式，然后给出了任一n×n对称矩阵A辛合同于一个单位矩阵和一个三对角矩阵的直和。

Definition and research of disjoint product sum minimization from the point of view of Boolean function coverage, and proof of three theorems as well as putting forward a recurrent formula.

从布尔函数覆盖的角度定义和研究了最小不交化问题，给出并证明了几个有关的定理，并提出一个求布尔函数最小不交积之和的递推计算原理及公式； 3。

Realization of an algorithm MSDP for minimal disjoint sum of products based on the recurrent formula with the sharp # operation. MSDP algorithm can be used to any kind of two-value structure functions (coherent or non-coherent).

根据所提出的递推原理及公式，利用立方体的锐积#运算，给出并实现了一个求最小不交积之和的算法MSDP，并对算法的各主要步骤进行了讨论。

Properties are discussed for a class of exponential sum function on recurrence relationship,integral formula,it has been proved that its curve configuration is single peak and it is a probability density,the application of this function is showed in proving equalities and a differential equation model of substance transform reaction.

对一类指数和函数的递推关系、积分公式、曲线的单峰形态等性质进行了讨论，证明了该函数为概率密度函数，并给出了该函数在等式证明、物质转化反应的微分方程模型等方面的应用。

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 substituting a definite integral for the sum of finite slices, an analytical formula for the safety factor in the simplified Bishop's method can be derived.

针对简化Bishop法，采用精确积分代替有限条块的求和，获得了边坡安全系数的解析表达式。

Based on the Collins formula, the analytical propagation equations for a Gaussian beam through a multiple spatial filter system are derived by using the methods of the matrix decomposition and expanding the aperture function into a finite sum of complex Gaussian function .

以Collins衍射积分公式为基础，利用A0CD矩阵分解与物理实现的技巧，以及将硬边光阑窗口函数展开为有限个复高斯函数之和的方法，推导出了高斯光束通过多级空间滤波器系统的传输方程，并用数值计算加以说明。

Base on the fact that a hard-edge aperture function can be expanded into a finite sum of complex Gaussian functions, the approximate analytical expressions for the propagation characters of Hermite-Guassian beams passing through double rectangular apertured are derived. The approximate analysis uses Collins formula. At last, Matlab illustrates some numerical examples.

基于硬边孔函数能拓展成一组有限复高斯函数的和，研究厄米－高斯光束通过双矩孔的传输特性，用Collins公式分析，用Matlab进行一些数值模拟。

I want to be a big fish in a small pond.

我要做一条在小池塘里的大鱼。

While the software functioned well, we did not feel the same about their customer support!

虽然该软件运行良好，我们没有同样的感觉他们的客户支持！