指数函数

按照初应变法计算收缩徐变的原理，将04规范收缩应变和徐变系数的计算表达式拟合成统一的指数函数，得出收缩徐变递推计算公式。

Using the analysis method of shrinkage and creep based on initial strain , This thesis fitted the shrink strain and the creep coefficient function with uniform exponential function model and find a way to get the recursion formulae of shrinkage and creep .

负指数函数中待定参数a，b的抗差解法

Robust solution of the undetermined parameters a , B in the negative exponential function

指数函数的二次Padé逼近的构造

The Construction of Quadratic Pad é Approximants of the Exponential Function

枣树有效根长密度无论是一维分布还是二维分布，均可采用e指数函数拟合，且模拟精度较高。

Whether the one-dimensional or the two-dimensional effective roots length density distribution of jujube trees all of them can be fitted by exponent function .

用表驱动算法在GCC中优化实现指数函数

Optimized Table - Driven Implementation of the Exponential Function in GCC

指数函数项级数与Hadamard乘积

The series of exponential terms and Hadamard product

该法以多数非线性发展方程的孤立波解都具有e指数函数为基础，对解作先验假设，利用强大的计算机符号计算，这样就将求解问题转换到超定方程组的求解问题。

Because most soliton solutions of the nonlinear evolution equations have the Exp-function form , we can assume the solution initially then solve the overdetermined equations with powerful symbolic computation .

提出了一种计算气体绝缘变电站（GIS）金属外壳暂态辐射场的新方法：首先运用矢量匹配法对用NEC计算的频域格林函数进行拟合，拟合结果在时域内表示为指数函数和的形式；

A new method is proposed to calculate transient radiation field from the metallic enclosure of gas insulated substation ( GIS ) .

药物释放初期为Fick型扩散释放，释放后期为指数函数的形式释放。

The releasing of it at beginning stage was Fick - diffusion mode .

结果表明MEC的搜索计算量按维数的幂函数增长，相对于完全搜索的指数函数而言要小的多。

The results show that computing cost is a power function of the dimension .

对不同温度下铁离子浓度随时间变化的曲线进行拟合，结果表明浓度随时间变化逼近于指数函数，拟合过程中R均为0.985以上。

Fit the curve of iron concentration curve , the results show that the concentration change over time is similar to the exponential function . Fitting over the course of R are 0.985 .

（Al）枝晶得到一定程度的细化，而且细化的程度遵循指数函数的关系，利用回归分析得到熔体过热处理理论上能够细化亚共晶Al-7%Si合金的最小枝晶尺寸大约为20μm。

The theoretical minimum dendritic size of hypoeutectic Al-7 % Si alloy refined by melt superheat treatment is about 20 μ m. The effect of degree of superheat on degree of undercooling was studied .

最后，利用信噪比分析了模型的记忆容量，并指出在取加权函效为指数函数的情况下，记忆容量与样本矢量的长度N成指数关系。

Lastly , the memory capacity is estimated by the signal-to-noise ratio analysis and it is pointed out that the capacity is increased exponentially with N when the nonlinear weight function is taken as an exponential function .

给定一个理想排队延时，ESD使用一个指数函数作为丢包概率计算函数，保证丢包概率的连续性。

We need give an objective queue delay for ESD only , and it use an exponential function to compute the dropping probability .

（2+1）维Boussinesq方程的混合型指数函数解和三角函数周期解

Solutions of mixed exp-function and periodic solutions of triangle function to ( 2 + 1 ) - Dimensional Boussinesq Equation

在普赖斯公式中，文献的年增加量与全部文献的累积总量都是时间的指数函数，而且经坐标平移后，两条曲线是同一条曲线，A.И.米哈伊洛夫的论断是错误的。

Both the incremental quantity per year and the cumulative quantity of all literature are exponential functions of time , and the two curves are the same curve after parallel translation .

当失效率为指数函数，假定未知参数的先验分布为对称的三角分布时给出了参数的极大似然估计和Bayes估计；

The maximum likelihood and Bayes estimates of these parameters are deduced when the failure rates of the system components are assumed to be exponential with different parameters .

当单内点精细积分中的传递函数即指数函数用Taylor展开式的一阶近似来替代时，精细积分转化为差分方程。

The meticulous integration is turned into difference equation in case transfer function , i.e. exponential function in meticulous integration of single inner point is replaced by Taylor expansion .

横向流速分布符合指数函数分布，得到了相对流速v/vm与相对位置2Z/B之间的相关关系和系数m、n的变化范围。

The transverse velocity distribution accords with the exponential function distribution . the relation between the relative velocity v / vm and the relative position 2Z / B and the change range of coefficients m and n are determined .

在比较器和受控放大器之间接上一个对数放大器，就可以使增益控制特性为指数函数的AGC系统严格线性化。

It is also demonstrated that the AGC systems with exponential gain control characteristic may strictly be transformed into a linear system by using any logarithmic amplifier .

之间存在指数函数关系；动态再结晶完成后，奥氏体晶粒平均直径与变形速率温度修正系数Z之间符合线性关系。

Af ter the dynamic recrystallization was finished , the relationship between the average diameter of austenitic grains and the modification factor Z of temperature for de formation velocity was linearly conformable .

讨论了具有扩散系数D（x）∝x-θ的整数阶方程，利用q-指数函数和q-对数函数的特性，求得了解析解。

First , the integer equation is studied by considering the diffusion coefficient D ( x )∝ x θ . By using the q-exponential function and q-logarithm function , the analytical solution of the equation is derived .

对人口分布模型的模拟则表明，上海人口分布虽然符合负指数函数模型，但不是最优模型，上海人口密度分布的最优模型是Cubic函数。

The result also indicates that Cubic model is the optimal one to describe population density distribution of Shanghai both in 1990 and 2000 , and the exponential model is not the best .

由于年平均发生率与b值间的指数函数关系，因而改变统计时段所引起的b值变化，对各震级档地震年平均发生率的影响呈幂级数规律减少或增大。

Owing to the exponentially functional relation between the annual mean rate and b value , the variation of b value by varying statistical time range brings about decrease or increase in the annual mean rates of each magnitude interval with power progression law .

耐热ALP活力及其与肌酐比值与孕周为指数函数时相关性良好；

The relation were good between ALP / Cr , PALP / Cr or thermostable ALP / Cr ( y ) and pregnant weeks ( x ) with exponential functions .

通过分析常规PID控制算法的不足，结合智能控制的思想和非线性控制的精华，提出了两种非线性补偿PID算法：基于指数函数补偿的PID和基于函数切换补偿的PID。

By analyzing normal PID controller 's shortage and combining the theory of intelligent control with the prime of non-linear control , a PID algorithm based on exponential function compensation and a PID algorithm based on function switch compensation are created .

物料本构关系采用DuncanChang非线性弹性模型，物料与仓壁间的摩擦作用采取指数函数形式。

The DunCan Chang 's nonlinear elastic model is adopted for constitutive relationships of granular materials . An exponent function model is used for friction behavior of materials on silo walls .

预测人口增长的数学模型通常采用3种函数，即指数函数、Logistic函数和双曲函数。

Three common mathematic models are always employed to predict the growth of regional or urban population , including exponential function ( Malthus model ), inverse hyperbolic function ( Keyfitz model ), and logistic function ( Verhulst model ) .

并据此基本解得到了圆柱壳受集中法向载荷、集中温度载荷作用下的奇异解，这些积分形式的解的被积函数具有第二种Hankel函数和指数函数乘积的形式，容易获得数值结果。

Numerical results for the singular solutions with integrands expressed in terms of the product of the second Hankel function and the exponential function agree well with FEM results .

其中，数据序列随时间变化的均值可用多项式或指数函数描述，而零均值的平稳过程可用AR（n）或ARMA（n，m）模型拟合。

In this model , the mean of data variation with time can be described by polynomial or exponential expression , and the stable process of zero mean by random process model AR ( n ) or ARMA ( n , m ) .