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The 1-4 order variation law of frequency, energy and distance of MS events before destabilizing can display the change rule of MS events. According to the variation law of the difference of frequency, energy and distance of micro seismic events before destabilizing, the fracture of rock mass can be precisely predicted. This is of great importance for safety of colliery.

微地震事件的距离、能量、频数的一到四阶差分均能够显示微地震事件的变化规律，根据未失稳岩体微震事件距离、频数、能量差分变化规律，能够准确地利用微震监测技术预报岩体破裂，这对于采用微地震监测技术解决矿山井下岩体破坏失稳预报具有重要指导意义。

On the electronegative elements, bonding electron number and bonded hydrogen atomic number, new molecular topological index is developed to do research on creaturely activity for alcohol, aether, ketone and ester in this paper.

基于元素的Pauling电负性，原子成σ键的电子数，原子直接键连的成σ键的氢原子数目和原子在形成离域π键时所提供的P电子数，定义了一种原子点价公式，构建了分子连接性指数。

It provides a way to find optimal lower dimensional approximations of the given data, and It enormously reduce the storage of the data which is needed when the physical processes is recurred. The physical process can be described in series expansion function that only is related to the time and space. It is optimal approximation of the given data in a certain least squares optimal sense. The most obvious advantage of the method is that it reduces the computation cost and computation time markedly.

它提供了一种描绘物理过程的有效方法，该物理过程可以写成一个只与时间相关的函数和一个只与空间相关的函数的展开式序列，且它们在均方意义上是最优的，在展开式中只需要少量的项数就可较准确地描述该物理过程，因此降低计算维数、减少计算量和节省计算时间是这个方法最明显的优点。

A new pricing approach to real option is thus proposed to transform the forecast intervals evaluated by experts into some normal fuzzy numbers with the lattice closeness degree introduced to construct weighted vectors. In this way the rationality of estimating the present value of expected cash flow payoff by using a normal fuzzy number is verified.

提出了将预期现金流收益现值的专家评估区间转化成正态模糊数并利用格贴近度构造权向量的一种新的实物期权定价方法，验证了利用正态模糊数估计现金流收益现值的合理性。

And since that debut, there have been CDs that have sold in the millions, fashion and book lines, best-selling DVDs, a concert tour that sold out literally within seconds of tickets going on sale with one woman going so far as to spend $13,000 on a set of four tickets!

自从首映后，CD的销售量就达数百万。还有其它一些衍生产品也大卖，如时装，关于剧中台词的书，畅销DVD，巡回音乐会的票竟然在数秒内就销售一空（据说一女子一连花了13000元买了四张票！

The smallest number in a finite set of numbers.

极小值：在一组确定的数中的最小的数

The difference between an ordinary and a partial derivative was at first not explicitly recognized.

通常的导数与偏导数的区别在一开始并未被人们明确地认识。

The difference between an ordinary and a partial derivative was at first not explicitly recongized.

通常的导数与偏导数的区别在一开始并未被人们明确地认识。

The first derivative spectra have been applied to develop this model. This model has been optimized by selecting the best wavelength range and the most suitable factors.

为了优化模型，我们对白酒的近红外光谱进行一阶导数处理，选择最佳的波长范围和最适的因子数。

Firstly, the two parts are solved separately, and the results are then coupled together. Because the thickness of the combustion reaction zone at high Re and Da numbers is less than the turbulent diffusion scale in diesel engines, the flame is extremely thin, its micro-structure keeps the laminar structure, so the turbulent flame can be regard as the ensemble of locally one dimensional, thin laminar flamelet embedded within the turbulent flow field.

由于柴油机中在高雷诺数和高Damkoeler数的情况下，燃烧反应区厚度小于湍流耗散尺度，火焰极薄，其微元保持层流结构，因此，湍流火焰可视为嵌入湍流流场内局部具有一维结构的薄的层流小火焰的系综，这便构成了层流小火焰模型主导思想，同时也使层流小火焰模型模拟柴油机湍流燃烧过程成为可能。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。