解析函数

For the analytical solution of neglecting the second term,the following formula can be acquired through inverse operation of the errorfunction

对CDE方程省略第二项后的解析解进行了详细分析，通过误差函数的逆运算得到下述公式

However, asymmetric Laplace distribution has only 2 parameters and explicit distribution function form, it can fit the data of stock returns well. Consequently it greatly facilitates the calculation of optimal portfolios and the management of financial risk.

非对称拉普拉斯分布有明确的解析表达分布函数，只含有2个参数，能够较好拟合股票收益率分布的尖峰厚尾偏倚特性，给进一步的研究证券投资组合和金融风险管理带来了很大的便利。

A hybrid convolution was used to analyze the assembly functions of linear dimension chain and nonlinear dimension chain.

采用混合卷积法对线性尺寸链和非线性尺寸链的装配函数进行统计公差分析，混合卷积法是解析卷积和数值卷积的结合使用。

As we know, many results on analytic solutions of iterative equations are obtained by constructing a majorant series. For technical reasons, in previous works an indeterminate constant α, as the eigenvalue of the linearization of unknown function at its fixed point, is required to be off the unit circle or lie on the circle with the Diophantine condition.

已有的许多关于迭代方程的解析解结果都是运用优级数法得到的，并要求一个作为未知函数在其不动点处的线性部分的特征值的常数α不在单位圆周上或者α在单位圆周上但满足Diophantine条件。

As we know, many results on analytic solutions of iterative equations are obtained by constructing a majorant series. For technical reasons, in previous works an indeterminate constant a, as the eigenvalue of the linearization of unknown function at its fixed point, is required to be off the unit circle or lie on the circle with the Diophantine condition.

已有的许多关于迭代方程的解析解结果都是运用优级数法得到的，并要求一个作为未知函数在其不动点处的线性部分的特征值的常数α不在单位圆周上或者α在单位圆周上但满足Diophantine条件。

We studied the renormal-ization effect of the rotational constant. This is a complex many body problem, and cannot be solved with the conventional methods in molecular spectroscopy.

为此，我们采用路径积分的蒙特卡洛方法计算虚时关联函数，然后通过解析延拓的方法求得转动能级。

In order to get the stress analytic solution, the stress equations are deduced with conformal mapping method and residue theorem, the defaults of equations in the reference are corrected. This method overthrows the obstacle in the engineering stress calculation for the flat receptacle with conformal mapping.

为了建立有实际意义的扁挤压筒应力解析解，本文结合单连体复变函数保角映射法和留数定理推导出受内压力作用的扁挤压筒的应力求解公式，更正了国外文献中相应公式的错误，开发了受内压扁挤压筒的应力计算程序，实现了应力计算的程序化。

Based on the second PA derivative of mean steady-state system time with respect to a parameter of the service time distribution, we give the second-order stochastic approximation algorithm.

当最优化问题过于复杂，无法使用解析方法分析时，一个可行的方法是在参数的取值范围内用逐次逼近法找到最优点；在使用此类优化算法时，目标函数的样本导数是必需的。

The paper deals with the mean square value of dynamic loads for automobiles with two degrees of freedom by means of random vibration theory and derives an analytieal formula according to Jordan lemma.

运用随机振动理论，研究了二自由度汽车车轮的动载荷均方值，由约旦复变函数引理，推出一个解析公式。

The Moment Generating Function of decision variable and a saddle point approximation method are exploited to analyze the BER performance of FD-SS-CLDD, and the theoretical results are evaluated by simulation.

通过利用判决变量的矩生成函数，并采用鞍点近似的分析方法，得到了频域扩频码片级差分检测的误码率性能的解析表达式，同时进行了仿真验证。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失