公式的

To the question of fatigue invalidating of strain gages in dynamic test(normally the zero drift value being bigger than the permissible value),the equations for calculating the fatigue life of the strain gages are derived on the basis of the fracture mechanics theory.

针对应变片在长时间的动态测试中疲劳失效(一般是测量误差超过允许值)问题，本文从疲劳断裂力学的基本理论出发，导出了应变片疲劳寿命的计算公式；实验表明，实验曲线与理论曲线吻合，这证明我们推导的公式的正确性，为应变片的疲劳寿命的预测、许可载荷的确定、失效判据的确立提供了理论基础。

Inspired by Chans double series representation formula of_∞~(10), the author constructs a new difference equation on quintuple products, which leads to clarification on the four symmetric differences that are equivalent in pairs.

受Chan得到的_∞~(10)的二重级数表示公式的启发，作者构造一个新的关于五重积的差分公式，并澄清迄今为止所出现的四个对称差恒等式之间成对等价的关系。

In this paper, based on the comparison between CMOS and CCD image sensor and according to the principles of photometry and radiometry, the imaging range formula of CMOS image sensor in space-based system for space targets is derived with detail analysis, considering the metric of Signal-to-Noise Ratio and taking deep space as background.

在对CMOS和CCD传感器进行对比的基础上，从信噪比的角度出发，以深空作为背景，根据光度学和辐射度学的基本原理，对基于CMOS图像传感器的天基空间目标监测系统的成像距离进行了详细分析和公式推导，并以STAR-1000 CMOS图像传感器为例验证了理论模型和计算公式的正确性，最后对进一步提高CMOS图像传感器成像距离的方法进行了简要分析。

This text proceed with the theory of the vibration, utilize typical elastic hinge law analyze structure dynamics characteristic when the blade is quivered to instability, and then use relevant knowledge of blade vibration to simplify the model and the aerodynamic force of the vibration. Through the simplification, we can get the equation of the blade, which is dispersed to its instability. Then VISUAL BASIC procedure is utilized to work out thecharacteristic value of vibration and the vibration frequency. At last comparing the result which is calculated by the above-mentioned theory formulae with the result which is calculated by internationally agreed procedure ANSYS to verify the accuracy of the formula of reduction.

本文从振动理论入手，利用最为典型的弹性铰链法分析叶片发生颤振失稳时的结构动力学特性，然后对振动模型及振动时所受的气动力进行简化，利用简化方程得到叶片发生发散失稳时的振动方程，利用编制的VISUAL BASIC程序解出振动的特征值并得到振动频率，最后分别通过上述的理论公式和国际通用的有限元程序ANSYS对风力机叶片模型进行发散失稳时的频率计算，验证简化公式的准确性。

The measuring data after pre-processing was fitted with NURBS curve with constructing the non-uniform node vector using the method of cumulating chord length and optimizing the rights of NURBS curve restrictively. The formula of surface skinning which can be realized by programming was proposed on the basis of the foundation formulas in existence, then NURBS curves was skinned to gain the corresponding NURBS surface.

对经过预处理后的测量点数据，通过采用累积弦长法构造非均匀节点矢量和对权因子的约束优化，进行测量点数据的NURBS 曲线拟合，在现有基本公式的基础上推导出了可以编程实现的曲面放样公式，对得到的NURBS 曲线进行放样处理，最终得到了测量点数据的NURBS 曲面。

This paper illuminates several applications of Taylor formula, such as solving the limitation of variable equation, proving variable function equation and so on. It is an important guide for us to have a better understanding of Taylor formula's great functions, to exploit students' ways to thinking problems, to improve students' ability in analyzing and solving problems and to multi-use knowledge.

文章阐述了泰勒公式在求不定式的极限、函数不等式的证明等几个方面的应用，这对深刻体会泰勒公式的重要作用，开拓学生的解题思路，提高学生分析问题、解决问题的能力以及综合运用知识的能力有着巨大的指导作用。

Analysis is conducted on model checking for three valued logic formulae of modal transition system using existing model checking techniques. We reduce the three valued logic model checking problem for modal transition system to the two valued model checking problem under Kripke structure. This reduction is linear in the number of states, size of transition relations, and number of atomic propositional formulae in the new formed model compared with those in the original model. It does not increase the comple...

分析了现有的模型检验技术应用于模态转移系统的三值逻辑公式的模型检验中存在的问题·提出了把模态转移系统转换成Kripke结构的算法以及三值逻辑公式转换成2个二值逻辑的算法，经过转换后可用现有的模型检验技术进行模型检验·用该算法转换后，状态数、转移数和原子命题数目与原模型呈线性关系，没有增加模型检验的复杂度

There is very little information for general cell diagnosis, which is universal problem in aluminum reduction process. Studies on technique of getting and processing cell state parameters have been made, where direct detection, on-line emulation and fuzzy information processing are combined. Then a new method of dynamic temperature detection, it's model and formula are proposed, and a practical equipment was designed. 3. Information about aluminum reduction process state are very different, not enough and unprecise, while there are many knowledge based on experience.

2为解决目前铝电解过程控制系统中普遍存在的、能用于槽况综合解析的信息不足这一问题，研究了综合运用直接检测技术、在线仿真技术和模糊信息处理技术等技术获取和处理电解槽的各种状态参数和信息的方法；并提出了一种新型的动态测温方法，推导了该方法的数学模型和计算公式，给出了公式的误差分析并设计了一个实验用动态测温装置，向实现对电解质温度的直接检测和控制迈出了探索性的一步。

The results from the experiment are: the amount of all micro-powders that grain sizes are less 0.044 mm should be less than 35% in weight, and the value of coarse q and attenuate q should be respectively 0.23 and 0.32, and the additive amount of active a-alumina and calcium alumina cement should be respectively 7% and 4% in weight, meanwhile, the best dispersant is PMAA-NH4 in the non-microsilica system; while the value of two q should be respectively 0.21 and 0.29, the amount of active a-alumina, microsilica and calcium alumina cement should be respectively 6%, 2% and 4% in weight, the best dispersants are sodium hexamer taphosphate and Na2P3Oio in the microsilica system.

依照上述实验方法得出刚玉自流浇注料所必备的条件：刚玉自流浇注料中的细粉(-0.044mm)总量应小于35％；在无硅微粉系统中的Andreassen公式的粗端q值和细端q值分别为0.23和0.32，氧化铝微粉、水泥的最佳加入量是7％、4％，且所使用的分散剂为改性聚丙烯酸钠最好，而在含硅微粉系统中的Andreassen公式的粗端q值和细端q值分别为0.21和0.29，氧化铝微粉、硅微粉和水泥的最佳加入量为6％、2％和4％，最好合用三聚磷酸钠和六偏磷酸钠作为分散剂。

Equidistance point and difference theory in theory of function approximation are studied. Meanwhile, the relation among difference, difference quotient and derivate is revealed. By drawing Lagrange's and Cauchy's theorem of mean on difference and Taylor's formula into difference function, four theorems, such as Lagrange's theorem of mean on difference, are concluded in simple way. On the basis of these conclusions, the asymptotic property of middle point is studied, a series of new conclusions are drawn and the discussions on the asymptotic property of middle point in differential mid-value are summarized.

对函数逼近论中等距节点和差分理论进行了研究，揭示了差分、差商与导数之间的联系；将Lagrange中值定理、Cauchy中值定理、Taylor公式引入到差分函数中，简明地推导出Lagrange差分中值定理等4个定理，并在此基础上对&中间点&的渐近性进行了研究，得出了一系列&中间点&的渐近性的结果，概括了有关文献对微分中值公式的&中间点&的渐近性的讨论；给出的引理改进了函数逼近论的证明方法，精简了函数逼近论中的一些内容。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。