公式的

They concluded that the derivative-free formula is not exact under the assumed conditions, but it is a very good approximate reconstruction formula.

黄朝志等发现在1993年发表的非圆轨迹不含导数的扇束重建公式推导中的一个错误他们的结论是：在假设的条件下，不含导数的重建公式不是精确的，但是一个很好的近似重建公式。

In studying the linear response of the dressed quark propagator in the presence of the variable external field, we derive a general expression for the vacuum susceptibility, based on the two-point external field formula in the Quantum Chromodynamical sum rule. The expressions we have derived for the calculation of vacuum susceptibility are model independent. Then we use the expressions to calculate the renormalised axial vector, vector and tensor vacuum susceptibilities.

接下来在研究夸克传播子在外场中的线性响应时，我们利用QCD求和规则两点外场公式推导出了一般的计算真空磁化率的公式（以变化的轴矢量外场为例），我们这里推导出的真空磁化率的计算公式是模型无关的。

In this paper,the methods of distance geometry are used to explore the angles of a simplex ,and the second cosine law of a simplex in another form is obtained.

运用距离几何的研究方法，研究了和单形相关的角，给出了单形第二余弦定理的另一种形式，以此为基础得出了BartO¨s体积公式一种简洁的证法；探讨了单形的几个体积公式之间的联系，并推广了单形的一个体积公式。

Firstly, those useless to classify texts are filtered according the category document frequency distribution difference of each feature; and then in order to overcome the limitations of TF-IDF weighting formula a novel weighting formula called TF-CDF is presented . Calculate the weight of each feature according to TF-CDF and build the Vector Space Model for the entire corpus. To select significant features, a feature selection approach based on Variable Precision Rough Set is also proposed and implement with some SQL sentences combining the definitions of VPRS with the advantages of SQL sentences.

该文首先根据特征词的类别分布差异进行特征过滤；然后，分析传统的权值公式TF-IDF的缺点，采用改进的权值计算公式简记为TF-CDF，依据TF-CDF公式计算每个特征词的权值，生成文档集的向量空间模型VSM；接着，提出了一种基于可变精度粗糙理论的特征选择进一步选择对分类贡献度大的特征，并用SQL实现。

Specially, we primary deals with the option pricing of Black-Scholes model with continuous dividend payments then get the call option and put option formulas: And the model of geometric average Asian options with fixed strike price then we get the call option formula: The relevant formulas about call option and put option,which are all identical with the classical ones.

其中，特别是对连续支付红利的欧式Black-Scholes期权定价模型求得其买权和卖权的定价公式分别为：此外，还对具有固定敲定价格的几何平均亚式期权的模型给出买权的定价公式：所得结果与用经典解法求得的定价公式完全一致。

It Newton iteration is used in the analysis of math value,and the simplicity formula is given to resolve(including original initial value formula and advanced approximation formula),which can be characterized by fast speed and easy remembering.

采用数值分析中的牛顿迭代法求反渐开线函数的根，并给出了符合精度要求的解算反渐开线函数的简单公式(包括原始初值公式和近似值精化公式)，具有迭代收敛速度快、简单易记的优点，它们适用于[0，π/2]的全区段，免除了分段计算的烦恼，并运用VB编写计算机程序，从而实现反渐开线函数快速求根的目的。

Then, the quasi-overconsolidation ratio is introduced to consider the effect of super pore pressure; and the fitting formulation is applied to consider the influence of shearing strain. The degenerated formulation of undrained strength of saturated loess is deduced at last; and its reasonableness is proved by the test results.

在此基础上，引入似超固结比的概念来考虑超孔隙水压力的影响，应用拟合公式来考虑剪切变形的影响，最终推导出了饱和黄土不排水强度的退化公式，与试验结果的对比证明了理论公式预测结果的合理性。

Firstly, a simple closed-form MIMO channel capacity formula is derived by using the eigenvalue distribution of Wishart matrix.

首先，利用Wishart矩阵的特征值分布，导出了一个简单闭合的MIMO信道容量公式；然后基于此公式，得到了MIMO信道容量在高信噪比时的渐近界，解析地反映了随着信噪比的逐渐增加，MIMO信道容量与信噪比和收发天线数目的最小值呈渐近的线性关系；最后，计算机仿真验证了所提出的MIMO信道容量公式及其渐近界的正确性。

LIU Hui's Cyclotomic Method is one of the greatest achievements in the history of mathematics in China,even in the world,in which the special approach to understand the infinity and the method to solve it are presented.

有的著作认为在极限公式limx→0sinxx=1的证明中，要用到圆的面积公式S=21Lr，而对后者的证明中必须要用到重要极限limx→0sinxx=1，从而犯了循环论证的错误。魏晋刘徽的&割圆术&是对无限问题的独特认识和致用的处理方式，是为证明圆面积公式而设计出来的一种方法。

A formula was derived and given to calculate the Shupe effect in the quadrupolar winding including the effects of the midpoint deviation and the fiber diameter. This formula, compared with that considering only the ideal situation, can not only be used to account the thermally induced nonreciprocal phase shift under different midpoint deviations and fiber diameters, but also indicate the effects of the fiber coil's structure when there exist nonideal factors.

本文分析了中点偏差、光纤直径尺寸对四极性绕法中相向传输光对称性的破坏，推导给出了包括中点偏差和光纤直径尺寸影响的四极性绕法热致非互易相移的计算公式，该公式相对于只考虑理想情况的计算公式，不仅能计算不同中点偏差和光纤直径情况下的热致非互易相移，而且揭示了存在非理想因素时，光纤环结构对热致非互易性的影响。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！