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After the iterative formulas of 6 ordering Walsh matrices are deduced by Kronecker product, the computer images of these matrices are illustrated.

通过分析和比较各种序的计算机图像，得出类Walsh序更适合作为Walsh序的逆反形式的猜想。

In Chapter 4, by some important summation formulas, we prove some results of number theory, such as Jacobi two square numbers theorem and Lagrange four square numbers theorem.

第四章：应用第二章介绍的几个重要求和公式，证明了数论中的若干结果。

With the adoptation of properties of Laguerre polynomials and the primary method ,some calculation formulas for Laguerre Polynomials and Γ Function are obtained.

运用初等方法和Laguerre多项式的性质得到了Laguerre多项式和Γ函数的计算公式。

Liquid Lanolin is used in many skin care formulas for its natural moisturizing properties.

液体的羊毛脂因其天然的保湿功能而在许多的护肤产品中使用。

Second,the preliminary informations include the conditions that the potentials in the corrosion system should satisfy and the BEM basic formulas of Laplace equation are also discussed.

其次，预备知识包括腐蚀系统所满足的控制方程及边界条件和Laplace方程的边界元基本公式的推导。

It takes the function made up of Legendre orthogonal polynomial as displacement function, and use Galerkin method to solve this function. The methods calculating formulas is very simple, so the method can avoid the great calculating difficulty of traditional simplified methods.

正交多项式伽辽金法选取由勒让德正交多项式组成的函数作为位移函数，利用伽辽金法进行求解，计算公式简单，避免了一般简化计算方法由于计算公式的复杂所带来的计算困难。

Recurrent formulas for calculating the coefficients of the Legendre polynomial and the expressions for calculating the sedimentation coefficient are deduced analytically.

为了研究多分散低Péclet数沉降问题，我们先以Legendre多项式展开法得到了计算对分布函数的普遍递推式，以及由Legendre多项式的系数表示的沉降积分。

Therefore, let us avoid any thought that ashes and Lenten disciplines are sure formulas for spiritual maturation.

因此，让我们避免任何想法认为炉灰和大斋节是一个属灵成熟的方程式。

In 2002, Kou proposed double exponential jump diffusion model, the most important is that double exponential jump diffusion model can generates a highly skewed and leptokurtic distribution, in addition, DEJD leads to tractable analysis pricing formulas for European and path-dependent options.

在2002年，Kou提出了双指数跳扩散模型，该模型最主要的特点就是能产生一个尖峰厚尾分布，更重要的是在双指数跳扩散模型下能给出易处理的欧式期权和奇异期权的解析定价公式。

Under the assumption of UDD, the formulas of actuarial present value for combined life insurance and life annuity were given.

得到了联合生命保险在UDD假设下的趸缴纯保费，生存年金的精算现值以及均衡纯保费具体表达式。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。