系数函数

This article analyzed laser gain function and Voigt function I( v,v0 ), pointed out that the integral difficulty originate from Dopper and Lorentz profiles.

本文分析了激光增益系数ζ和佛克脱积分函数I(υ，υ_0)。指出两函数的积分困难均来源于洛伦兹分布函数和多普勒分布函数的褶积。

A new technique is presented for maximizing the band-edge selectivity of elliptic filters, and then the equal ripple parameter of the quasi-elliptic function can be calculated when the band-edge selectivities of the elliptic function and quasi-elliptic function are the same.

提出了标准椭圆函数的边带优化方法，在此基础上使标准椭圆函数与修正后的准椭圆函数在边带上的衰减相等，得到准椭圆函数的等波纹系数。

Meanwhile this dissertation points out the form and properties of basic symmetric function、simple symmetric function and basic CRM symmetric function in OR-Coincidence algebra system, discusses the relations and transform methods among the coefficients of the three kinds of symmetric functions.

提出了在或、符合代数系统中基本对称函数、简单对称函数及基本CRM对称函数的形式及性质，并详细讨论了对称函数三种展开式系数之间的关系和各种转换方法。

After studying the characteristics of Particle Swarm Optimization,Particle Swarm Optimization is used in wavelet domain to optimize the thresholds,and garrote shrinkage function is used to process wavelet decomposition coefficients,which overcome the shortcoming of discontinuity of hard-threshold and decreased the fixed bias of soft-threshold.

研究粒子群优化算法的特性，将其应用于小波域，对阈值进行寻优，并使用garrote阈值函数量化小波分解系数，而garrote阈值函数既克服了硬阈值函数的不连续性，也减小了软阈值函数存在的恒定偏差。

This problem involved many objective functions which had contradictions mutually and could not reconciled. According to different engineering requirements, the weighted and harmonic coefficient of each objective function was decided, and then it was changed to a single-objective optimization function. Engineering requirements on the system and related restrictions were given with the form of binding functions.

考虑问题所牵涉到的多个互相矛盾不可公度的目标函数，根据不同的工程要求，结合实践经验和计算经验确定各个目标函数的加权协调系数，然后将其表示为一个单目标优化函数；工程条件对系统的要求和相关限制，以约束函数的形式给出。

Secondly, a conjecture about the stability for these systems is proposed based on the sufficient and necessary condition of the isolated transfer function being positive real. When the zeros and poles of the transfer functions lie in the imaginary axis, a known conclusion is derived from the conjecture; while the zeros and poles are on the real axis, a new result is obtained and is proved in this note. Finally, according to the conjecture, an example with poles existing on the complex plane is presented, which is not only interesting but also challenging.

然后， 基于所有孤立部分传递函数都正实的充分必要条件给出了上述系统为稳定的一个猜想，当传递函数的零极点都位于虚轴上时，由这一猜想得到了一个已知的结论；当传递函数的零极点都位于实轴上时，由这一猜想得到了一个新的结论，本文证明该结论是正确的；最后，根据这一猜想，给出了传递函数极点位于复平面的一个例子，它涉及到一类系数矩阵为时变正定矩阵的振动方程的稳定性问题，值得去深入研究。

The function δ is introduced according to the property of the large forward scattering coefficient of the scattering particles in bad weather and the decomposition for phase function is normalized.

根据恶劣天气中散射粒子的前向散射系数大的特点，引入δ函数，将相函数进行归一化分解；把得到的简化点扩散函数作为大气的退化函数，与退化图像一起进行频域复原滤波。

When these coefficients are quadratic functions of the porosity, specific constituent orthogonal weighting coefficients are derived from these orthogonal conditions along with a discussion about how to extend the applicable range of the constituent orthogonal weighting coefficients in the orthogonal coordinates. Based on the combination of the theory of critical porosity and the constituent model, it presents a specific example of the constituent model that includes two transforming points. The reasonability of above-mentioned theories is shown by comparison of theoretical calculations and measured data on effective elastic moduli of clean sandstone or sandstone analogs saturated with pure water.

再次，结合弹性模量组分关系方程与正交基函数理论，推导组分加权系数的正交条件；基于正交条件，提出组分加权系数为孔隙度二次多项式时正交组分加权系数的构造方法以及正交组分加权系数适用范围的拓展方法；结合临界孔隙度理论，提出一个基于两个状态分界点的组分模型实例；比较组分模型的计算结果与前人关于砂岩弹性模量的实验结果，证明了组分孔隙介质模型理论的合理性。

But the reflection factor is in a standard filter important coefficient, but uses the alternative means to be very difficult to guarantee front and the retroreflection coefficient value is smaller than 1, and is unable to obtain its correlation function precisely, especially has this kind of serious problem in linear prediction coding equisignal processing, the BURG algorithm can in then be able to determine from the very beginning its exponent number and the transmittance have then overcome a limit question.

而反射系数是格型滤波器中的一个重要系数，而采用其他方法很难保证前向与后向反射系数的值小于1，并且无法精确得到其相关函数，尤其在线性猜测编码等信号处理中存在着这种严重问题，BURG算法能在一开始便能确定其阶数和传递系数便克服了着一限制问题。

In addition, the leakage coefficient decreases with the decrease of gap width at the same rotational speed.

研究结果表明：用相对流量系数（转动时的流量系数与静止时的流量系数的比值）与速比（周向速度与轴向通流速度的比值）的函数关系表征泄漏量随转速变化的规律时，存在一个临界速比约等于1.0；低于这个临界速比时，转速对泄漏量的影响不明显；高于这个临界速比时，泄漏量随转速的增大而减小，在很高的转速下（6000r/min以上），泄漏量至少减小了5.1%；相同间隙下，泄漏系数随着压比的提高而近似线性增加；相同转速下，随着密封间隙的减小，相对泄漏量逐渐降低。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。