查询词典 analytic function

This article uses the implicit function theorem and the properties of analytic functions,with less limitations for the uniqueness,continuity,continuous differentiability of the implicit functions,and gets the sufficient and necessary conditions of the existence of implicit functions by simplifying them.

从常用隐函数存在性定理出发，放宽对隐函数唯一、连续、连续可微等性质的限制，利用解析函数的性质将其展拓，得到广义隐函数存在的充分必要条件和广义隐函数的分布特征。

In the second part, we have considered the polariton system described by the model effective Hamiltonian involving single mode photon field interacting with a transverse optical phonon in a more realistic form. On this basis, we have discussed the dynamical evolution of the wave function , the dynamical variables and the non-classical properties for the system in a analytic form for the first time.

第二部分将极化激元系统约化成模型单模光子—横向声子有效相互作用系统，在此基础上以解析形式首次讨论了系统的波函数、力学量和压缩态、亚泊松分布等非经典效应的动力学演化行为。

Finally, on Earth-space paths, by applying a modification of the Rytov method that incorporates spatial frequency filter function under strong fluctuation conditions, a tractable model is developed for the scintillation index of a Gaussian optical beam wave that is valid under moderate-to-strong irradiance fluctuations. The scintillation indexes for collimation Gaussian beam are predicted by this analytic model, based on ITU-R C〓 model.

最后，应用强起伏下引入空间滤波函数的修正Rytov方法，发展了一种易处理且可用于从弱到强起伏地－空路径的高斯波束光波闪烁指数模型；基于ITU-RC〓模型，预测了准直高斯波束的闪烁指数，其结果和理论分析结果相符。

Standard of will basic electrovalency of simple and easy equivalent makes analytic expression, considered 2 times to supply the parameter quote of function among them.

将基本的简易当量电价法作解析表达，其中考虑了二次供应函数的参数报价。

In this paper, the Jacobi elliptic function method is generalized to study nonlinear coupled scalar field equation , and a lot of new analytic solutions of nonlinear coupled scalar field equation are obtained.

推广了Jacobi椭圆函数展开方法，研究了非线性耦合标量场方程组的求解问题，得到了更多更新的非线性耦合标量场方程组的解释解。

Double pendulum ; analytic method ; Whittaker's theorem ; elliptic function ; integrable system

双摆；解析方法；惠特克定理；椭圆函数；可积系统

The overall NOX removal efficiency is expressed as an explicit function of space velocity and other parameters, and a simple analytic solution is obtained.

NO_x转化率可以表示为空速和其它参数的显函数并获得单一的解析解。

Because the battery energy function has the exponential form, it is difficult to derive an analytic solution.

由于能量函数具有指数形式，很难获得解析解最小化能耗函数。

This research utilizes the analytic method of Quality Function Deployment and Grey Relation Analysis to combine experts' opinions and externalize the tacit knowledge.

由研究调查中发现，红色、黄色与白色的违规比率高於其他色系，且这三色系之房车驾驶的人格特质也以「活络外向型」所占之比例居高。

As well known, modern laser diffraction has widely used in engineering measurement but it mostly limited in Fraunhofer diffraction because there is simple function between the size to be measured and space of diffraction dark spots and there are no analytic algorithm for Fresnel diffraction.

现代激光技术提供了极为良好的相干光源，该光源在工程测量，特别是衍射测量中得到广泛应用。但在实际应用中，往往局限于夫琅和费衍射，因为夫琅和费衍射法暗斑间距与被测尺寸之间具有很简单的函数关系S-n/d，而菲涅尔衍射光强分布非常复杂，缺乏解析的计算方法。

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