单值函数

Reusing iterative information ,an approximate inverse function is constructed byinverse interpolation.

重复使用迭代信息反插值构造逆函数的近似，一方面较只使用单点信息能更好地逼近隐式函数，另一方面直接得到显式近似解。

The monotone property of multivariate function proved that the maximum stress strength point exists on the inner surface of

应用多元函数单调性理论，证明了在三轴应力条件下管体中最大应力强度值出现在套管内壁。

The ration of Pd to P is defined as the stressing uniformity coefficient of one steel line. Through com prehensive analysis of test data, the variation of P(reading of preaure metre on tensile jack)with the uniformity coefficient can be deseribed by thefunctional r...

经对试验数据进行整理、分类组合及综合分析，找出了锚索的张拉力P（张拉千斤顶上压力表读值）与均匀性系数的＝A·PB函数关系，再进行回归分析，从显著相关的回归曲线上，可直观地得出单根钢绞线在锚索张拉锚固时各种工况下不同位置上受力的均匀性。

The adhesion region between two adjacent teeth on the 3D dental model is first detected by exploiting the minimum principal curvature information. Then, the adhesion region is cut off and the tooth profile opening caused by the removal of the adhesion region is filled with triangular patches adopting a local optimization scheme, it is then refined to form an intermediate restoration surface patch. The final restoration result is obtained by minimizing the surface energy to reflect the bio-characteristics of the single tooth.

根据三维牙颌模型的形态特征，采用基于曲面最小主曲率的方法对粘连区域进行准确的检测提取；对删除齿间粘连区域后生成的齿间开口利用局部最优化权值规则进行剖分并细分优化，生成"中间"恢复曲面；根据牙齿的生理医学特征，以齿间开口的边界信息为约束条件，采用基于最小化曲面能量函数的方法对"中间"恢复曲面进行变形调整，实现单颗牙齿缺失形状的准确恢复。

Of all the above, the constructor is used mainly to generate and set ports and parameters; Ports acting as the channel for data transmission among actors are defined as input ports, output ports or input/output ports. They are also set as single port or multiple ports; parameters are used to allocate actors. In the document, it may be set as an default value or as vacancy to define the data type of parameters, while the specific function to be implemented by the actor shall be defined by public method. Within the actor, the implementing sequence and functions of the method is generally seen as follows

其中构造函数主要用于创建和设置端口和参数；端口作为角色间数据传输通道，它被定义为输入端口，输出端口或输入/输出端口，并被设置为单端口或多端口；参数用于配置角色，它在文件中可设有默认值或为空，并定义参数的数据类型；而角色执行的具体功能由公有方法定义，角色内这此方法的执行顺序及功能一般如下

Dynamic reliability under Littlewood-Paley wavelet is the biggest, dynamic reliability under modified meyerwavelet and harmonic wavelet are close. Analyzing the dynamic reliability of structure under odd exponent wavelet is very simple, it doesn't calculate Power Spectral Density function integral, it is only to calculate the square of displacement standard deviation and the square of velocity, then the dynamic reliability of structure can be concluded by max distribution. In addition the effects of upper limit is considered, when upper limit is smaller, the dynamic reliability of structure is less, that is, the damage possibility is bigger.

通过结构地震反应在小波基下的动力可靠性分析说明：无论是单自由度还是多自由度从理论上推导在这四种小波下的结构动力可靠性是可行的，而且考虑的结构地震反应都是非平稳的高斯过程，方法实现也比较容易；在Littlewood—Paley小波基下求得的结构的动力可靠度比较大，由改造的meyer小波和谐波小波求得的动力可靠度略有差异；单边指数小波下的结构动力可靠性分析非常简单，不用求功率谱函数来积分，只需求得结构地震反应的位移方差，速度方差，利用最大值分布公式就可得到结构的动力可靠时程；另外也考虑了超越界限对结构动力可靠度的影响，超越界限越小，结构的动力可靠度越小，即破坏概率越大。

Dynamic reliability under Littlewood-Paley wavelet is the biggest, dynamic reliability under modified meyerwavelet and harmonic wavelet are close. Analyzing the dynamic reliability of structure under odd exponent wavelet is very simple, it doesnt calculate Power Spectral Density function integral, it is only to calculate the square of displacement standard deviation and the square of velocity, then the dynamic reliability of structure can be concluded by max distribution. In addition the effects of upper limit is considered, when upper limit is smaller, the dynamic reliability of structure is less, that is, the damage possibility is bigger.

通过结构地震反应在小波基下的动力可靠性分析说明：无论是单自由度还是多自由度从理论上推导在这四种小波下的结构动力可靠性是可行的，而且考虑的结构地震反应都是非平稳的高斯过程，方法实现也比较容易；在Littlewood—Paley小波基下求得的结构的动力可靠度比较大，由改造的meyer小波和谐波小波求得的动力可靠度略有差异；单边指数小波下的结构动力可靠性分析非常简单，不用求功率谱函数来积分，只需求得结构地震反应的位移方差，速度方差，利用最大值分布公式就可得到结构的动力可靠时程；另外也考虑了超越界限对结构动力可靠度的影响，超越界限越小，结构的动力可靠度越小，即破坏概率越大。

At higher pressures, six-body effects become significant, and the inclusion of its contribution can extend the theoretical prediction from 60 to 180 GPa, where the empirical Vinet EOS give a lower prediction by 6-14%.

结合双原子势能函数，证明了单原子对体系总势能贡献分量的计算公式E=1/2[β~2U_2+(1-β~2)V_n]，对于高压氦体系，其中待定参数β的取值约0.5。

By the time of its fall, most of the prisoners were writers who had written against the corruptions of the government.

到它被攻陷的时候，里面多数的犯人是写了反对政府贪污文章的作家。

The most obvious variation to ovum morphological character was that the color was changed from light green to sepiaceous in embryonic development, and all the ovums were almost hatched after 96h.

在胚胎发育过程中卵的形态特征最明显的变化是颜色从淡绿到深褐色，卵在发育96h后卵基本全部孵化。