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According to the statistics about standard frost of the seasonal frozen soil area in China, it founds the relative mathematic model of standard frost and freezing index of the seasonal frozen soil area by the method on monadic regression analysis.

以我国季节冻土区关于标准冻深的统计资料为依据，用一元回归分析的方法建立季节冻土区黏性土标准冻深与冻结指数的相关关系的数学模型。

In this paper, a chemical-mathematic model for the pressure index of nitramine modified double based propellants is presented , and the expression of pressure index is given.

提出了硝胺改性双基推进剂燃速压力指数的化学数学模型，给出了燃速压力指数公式。

Discussing the way to develop the nonlinear mathematic model of the governor in the hydroelectrical simulation system and improve it, the phased analyzing/fitting method is introduced in modeling process to deduce the mathematical models of governor start-up and load rejection so as to solve the problems of overspeed starting and nonconvergent vibration during load rejection.

在建模过程中采用分段解析、拟和的方法，推导出了水电仿真中水机调速器开机和甩负荷过程数学模型，解决水机调速器中开机过速和甩负荷过程中振荡不收敛问题。

Furthermore, we discussed and pointed out the exact distinction of the meanings of reactive current, irregular current, reactive power and irregular power, then we give them proper mathematic definition with uniformed conception respectively, we established new power system, which is helpful for people to understand about nonsinusoidal system and its energy conversion much more deeply and substantialy, especially to gain new ideas on depressing and eliminating harmonic waves, and some new design method for more satisfying correcting power function, and different kinds of compensation and eliminating harmonic wave systems.

本文分析了传统的正弦系统有关定义及其与非正弦系统的异同，指出了前者存在的缺点，结合所给特例，讨论并确定了时域中非正弦系统有功电流和有功功率的严格定义，阐明了畸变功率在非正弦系统能量转换过程中所起的作用，在上述基础上，进而讨论并严格区分子无功电流、畸变电流、无功功率、畸变功率等的含义，并利用变分法给出了与上述含义相一致的各个概念的严格的数学定义；提出了新的功率体系。

A method to forecast the electrical endurance of electromagnetic relay was proposed, in which the mathematic modeling of forecasting relay electrical endur ance based on the decrease of overtravel time.

提出一种对电磁式继电器可靠性电寿命进行预测的方法，即根据继电器工作中超程时间的减少，通过时间序列回归分析和概率统计分析，对继电器电寿命的预测建立数学模型。

Therefore, it has the important scientific research value in studying the relationship between the changing of the parameters (including the temperature, the humidity, the grain radius and so on) and the electricity and radioactivity of the medium. Applied the count statistics and the numeral value analysis, the paper analyzes, concludes and contrasts the data sufficiently through the experimentation, and acquires the following results that the resistivity and the polarizability both have the negative relationship with the temperature variety of medium from 0℃ to 200 ℃. The parallactic poalarizability is consistent with the temperature variety in the plan as well as the section, but their trends are exactly opposite. Power supply voltage has no considerable influence to the resistivity and polarizability by using duality variance analysis, however, the detecting depth and the plan position influence them greatly. Different AB/2 interval that increases by degree does not influence variance and the average value of the resistivity and the polarizability remarkably. By using the least double multiplication, the relationship of temperature-time-the influence radius of the fire source is carried up by the mathematic drawing up. After discussing their correl ation, I educe the influence radius of the fire source and carry out the 'trend analysis and forecast to the spacial changing of the temperature and the parallactic polarizability in the end.

本文通过试验并应用数理统计和数值分析等相关理论对所得到的试验数据进行了分析、归纳和对比，得出了介质温度变化在0-200℃内视电阻率和视极化率与温度均表现为负相关性；视极化率与温度在剖面和平面上的变化形态具有很好的一致性，但变化趋势相反；由二元方差分析可得供电电压对视电阻率和视极化率无显著影响，但探测深度和平面位置对视电阻率和视极化率有显著影响；通过假设检验可证不同AB／2递增间隔，对视电阻率和视极化率的方差和平均数影响都无显著性差异；应用最小二乘法对温度——时间——火源影响半径之间的关系进行了数学拟合，讨论了它们之间的相互关系，得出了火源影响的有效半径，太原理工大学硕士研究生学位论文并对温度和视极化率的空间变化作了趋势分析和预测。

The method utilizes petrographical information obtained from two-dimensional thin sections to stochastically reconstruct the 3D model of a stone sample by the theories and techniques of image processing and mathematic morphology.This paper compares quantitatively the reconstructed microstructures...

这种方法利用从二维薄片取得的岩相学图象信息，用图象处理理论技术和数学形态学的方法生成了岩石的三维模型，对重建的三维微观结构和实际砂岩的表面细微结构进行了定量比较，比较显示，这种重建方法得到的三维模型孔隙率与原始图象基本一致，其水平面/纵切面/横切面上的颗粒长径分布与实际岩石有较好的相关性。

Method］ The available P content was measured by quinoline phosphomolybdate gravimetric method and the uncertainty of measured results was analyzed through establishing mathematic model.

方法］ 用磷钼酸喹啉重量法测定有效磷含量，通过建立数学模型分析测量结果的不确定度。

The frame is known as image engineering. It applies mathematic, physics, chemistry, photics, electronics, atomic physics, informatics etc.

主要任务是：使人眼看不见或难于看清楚的景物形成图像，让人眼通过产生的图像去观察原先不能直接观察的景物。

The determination of potentiometric titration end-points in analytical chemistry filed by using the mathematic method has been got more and more attention with the rapid development of computer technology.

在分析化学领域中，利用数学判断法确定滴定终点，随着计算机的日益普及而备受关注。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。