计算公式

Compare results of the formula with test results, they inosculate well. This indicates that the formula proposed in this paper has certain dependability.

将公式计算结果与试验结果比较，吻合良好，表明本文提出的承载力计算公式具有一定的可靠性。

The general formula to calculate the rotating surface area which is shaped by rotating the curve c in xoy plane around the L-axis by using curve integral.

依据所证得的通用计算公式推证得到，在某些特定情形下利用定积分计算旋转曲面面积的具有针对性的公式。

By using Jordan Curve Theorem and classical combination, we obtain the formulas for computing the flexibility of wheels and wheel-like graphs on the torus. 2. By C.Thomassen's work on Large Edge Width embeddings, we obtain some properties of some locally LEW-embedded graphs.

利用Jordan曲线定理和经典的组合计数方法，得到了轮图在环面上柔性的计算公式，结合轮图的结果以及环面的性质，得到了轮型图在环面上柔性的计算公式。

By using Jordan Curve Theorem and classical combination, we obtain the formulas for computing the flexibility of wheels and wheel-like graphs on the torus.2. By C.Thomassens work on Large Edge Width embeddings, we obtain some properties of some locally LEW-embedded graphs.

利用Jordan曲线定理和经典的组合计数方法，得到了轮图在环面上柔性的计算公式，结合轮图的结果以及环面的性质，得到了轮型图在环面上柔性的计算公式。

By introducing special stress functions, we find solutions of eighth order homogeneous linear equation set with complex functions method and approach of undetermined coefficients, deduce calculation formulas of bi-material elastic constants for two dissimilar orthotropic composite materials. The expressions of stress intensity factors near finite interface crack tip subjected to symmetric loadings are derived. A engineering application numerical example is given.

通过引入特殊的应力函数，采用复变函数方法和待定系数法求解了八阶齐次线性方程组，推出了两种相异正交异性复合材料板的双材料弹性常数的计算公式，得到了受对称载荷作用的界面裂纹尖端应力强度因子的计算公式，给出了一个工程应用算例。

Calculation formulae for real number order derivative and integral of logarithmic functions and power functions have been obtained which are the important references to calculate real number order calculus of any other functions.

计算得出了对数函数、幂函数的任意实数阶导数及积分的完整计算公式，它们是推导其它函数任意实数阶微积分公式的重要参照式。

A calculation method of standard electrode potentials in the complex system of the aqueous solution was derived in this paper.

推导了水溶液中复杂体系的标准电极电位计算公式，用此公式计算了目前国际上使用的一些标准电极电位，并对现有标准电极电位的数据作了分析。

In this paper, Newton iteration formula for computing normal depth and critical depth was put forward by mathematical transformation of uniform flow equation and critical flow equation of circular section tunnel. Then, the relationship between the corresponding central angle and the introduced parameters was analyzed. An approximate formula for angle was obtained according to optimal uniform approximation principle. Using this approximate formula as initial value of iteration formula, a direct formula for calculating normal depth and critical depth of circular section tunnel was established after its first iterative.

该文通过对圆形断面均匀流方程与临界流方程的数学变换，分别得到其正常水深与临界水深的牛顿迭代公式，同时，通过对正常水深与临界水深对应的中心角与引入参数之间关系的分析及数值计算，利用最优一致逼近原理分别得到了正常水深与临界水深对应中心角的近似计算式，并以此近似计算式为初值，用迭代方程进行一次迭代得到了圆形断面均匀流水深与临界流水深的直接计算公式。

The semi-low normal distribution membership function of fatigue limit is determined, and the anti-fatigue fuzzy reliability compute formula of rotor is deduced. The fuzzy reliability model of rotor anti-fatigue is set up. Taking an internal shaft of the rotor of aero electric generator for an example, its reliability design can be realized by adopting the anti-fatigue reliability design theory presented in the dissertation.

首次确定出了疲劳极限降半正态分布形式的隶属函数，推导出了转轴抗疲劳的模糊可靠度计算公式，建立了转轴抗疲劳的模糊可靠性模型；以航空发电机转子内轴为例，对其进行了抗疲劳的可靠性设计，并用本文建立的抗疲劳的模糊可靠度计算公式，对其进行了模糊可靠性校核。

Taking HPAM solutions as an example, the unsteady flow of power-law fluid in eccentric annuli with the inner cylinder reciprocating axially is calculated; the distribution of velocity, flow rate and stability parameter is obtained; taking HEC solutions as another example, the flow of second order fluid in eccentric annuli with the inner cylinder moving axially is calculated too; the distribution of velocity and stress is obtained; the effect of eccentricity and axial movement on stress distribution on the outwall of the inner cylinder is analysed.

在理论上，分别用二阶流体和幂律流体模型描述聚合物驱油井产出液的非Newton流变性；分别建立了双极坐标系下二阶流体和幂律流体在内管做轴向往复运动的偏心环空中非定常流的控制方程及边界条件和初始条件方程；建立了幂律流体在内管做轴向往复运动的偏心环空中流动的稳定性参数和流体在内管壁上的压力分布计算公式；建立了二阶流体在内管做轴向运动的偏心环空中流动的流体在内管壁上的压力分布计算公式。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。