公式的

Then the finite element software ANSYS is used to simulate the orthotropic flattened Brazilian disc specimen subjected to diametrical compression, the accuracy of the approximate formula of compression displacement is checked. The formula is further modified with a semi-empirical and semi-analytical approach, and it is shown to have better accuracy than the original formula covering the whole range of orthotropic anisotropic index of rock, the error is less than 6%.

用有限元分析软件ANSYS模拟正交异性岩石的巴西圆盘试样的对径压缩实验；利用有限元分析结果对正交异性平台位移压缩公式进行精度检验，并用半经验半解析的方法，对该公式进行局部的修改，修改后的公式在岩石材料的正交异性指数的整个范围的总体评价上，误差小于6%，具有更好的计算精度。

And corresponding dimensionless production formula and engineering production formula are given.

并给出了相应的无量纲产量公式和工程产量公式。

A new ergodic capacity formula is derived which can be expressed as a double integral.

为此推导了一个新的遍历容量公式，该公式可表示为一个二重积分。

Compared finite yuan of result and similar formula, the result shows the formulary precision that offer is good.

比较了有限元结果和近似公式，结果表明提出的公式精度良好。

Based on the Fresnel diffraction integral, the analytical expression for the field distribution of converging spherical waves passing through an annular aperture is derived and some special cases are discussed.

摘要基于菲涅耳衍射积分公式，推导出了会聚球面波通过环形光阑后场分布的解析公式，并讨论了一些特殊情况。

Staring from Fresnel diffraction integral,we deduced the optical intensity distribution in the Fresnel zone of the diffraction field of the annular-aperture lens axicon.

从菲涅耳衍射积分公式出发，推导多色高斯光束被球差透镜衍射后光强分布的解析公式，进行数值模拟和物理分析。

Starting from the Gauss forward interpolation formula, the EVERETT interpolation formula is led in the differential form.

本文从高斯向前插值公式出发，导出了等距节点插值的EVERETT差分公式。

4Based on a fact that the price formula of Asian options can be transformed into that of vanilla European option when the time to maturity is less than or equal to the length of average, we skillfully obtain the analytical price formula for the option on the minimum or the maximum of two geometric average prices and generalize it to obtain the price formula of several average prices for the first time. We also apply the method of [121], which approximates the arithmetic average by the geometric average, to the pricing of opitons on the minimum or the maximum of two arithmetic average prices to obtain Its approximated price formula. Numerical results show that the approximated price is relatively accurate when the riskless interest rate is large or the option is in the money and the volatility of two underlying assets are high and its accuracy is a little reduced but still good when the dividends are considered. However, it is hardly affected by the sampling number.

我们基于观察到的一个事实即当离到期时间小于或等于平均期间时亚洲期权的价格可变换成普通的欧式期权的价格，从而巧妙地得到了两个几何平均价格的最小或最大值期权价格的解析公式，通过简单地推广，首次得到了多个几何平均时的价格公式；将[121]用于算术平均亚洲期权的定价方法推广到两个算术平均价格的最小或最大值期权，从而得到它的渐进公式，数值结果表明：渐进价格的准确性在无风险利率较大或期权为实值且两标的资产的波动率较小时较好，抽样的个数对它没有影响，但考虑红利时它稍有下降但仍较好。

By introducing a generalized Frenet formula for holomorphic 2-spheres in G a generalized Pl\ucker formula is given.

文中对G中的全纯S^2引进了一个广义Frenet公式，并由它得到了广义Pl\ucker公式。

Firstly, introduce a method based on ideal project for grey interval clustering decision together with some relational concepts, which consist of incidence coefficient formula and relative incidence coefficient formula for interval grey numbers.

提出了基于理想方案的灰色区间聚类方法及其相关概念，建立了灰色区间关联系数公式和灰色区间相对关联系数公式。

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！