查询词典 derived function

In the work, employing a function with four undetermined parameters to model the source wavelet, an analytical relation between Q-factor and envelope peak instantaneous frequency is derived from the theory of one-way waves propagating in an anelastic medium; at the same time, a method for extracting instantaneous frequency in wavelet domain is developed for improving the precision and anti-noise performance of IF estimation, and based on these, a method called EPIF in wavelet domain is proposed for estimating Q-factor of VSP data.

本文采用一个具有4个待定参数的函数去逼近震源子波，利用黏弹介质中单程波传播理论推导出了地震子波包络峰值处瞬时频率和品质因子之间的解析关系；同时，为提高瞬时频率的估计精度和抗噪性能，在小波域中发展了一种计算瞬时频率的方法，并在此基础上提出了估算VSP资料Q值的方法，简称小波域包络峰值处瞬时频率法。

In section one,a kind of rational quartic interpolation function with linear denominator is derived on the base of analysis about the question of rational spline .

第一部分对有理插值样条有关问题进行了分析，并在此基础上构造了一种带参数的分母为线性的四次有理插值样条。

For the principal component, namely the voltage stability analysis function, three kinds of nodal injection power modes are defined, i.e., the random varying direction of load, the response setting direction of generator and the ratio of active power component to reactive power component in load power, and a continuous power flow model that is easy to utilize and comprehend by dispatching center is built, based on this model three kinds of formulae to calculate the sensitivities of loading margin with respect to three kinds of nodal injection power modes are derived respectively, and on this basis the influence of nodal injection power mode on loading margin can be analyzed in order that the voltage collapse can be avoided by fast implementing early warning of voltage stability and adopting effective corrective control.

文章针对N-EMS的主要组成部分--电压稳定分析功能，定义了3类节点注入功率模式：负荷的随机变化方向、发电机的响应设定方向、负荷的有功和无功比例，建立了易于被调度中心运用和理解的连续潮流模型，在此模型基础上分别推导得到负荷裕度对3类模式的灵敏度公式，据此分析节点注入功率模式对负荷裕度的影响，以便能够快速进行电压稳定预警和采取有效的校正控制来避免电压崩溃。

Based on the Gaussian kernel function, the recursion formula of bandwidth is derived.

在未知总体分布的情形下，给出密度核估计中选择窗宽的一个新方法，并在选取高斯核的情形下，推导出计算窗宽的递归公式。

The recursion formula was derived based on the assumption that the mass ratio of thedrop breakup is uniformly distributed.We also proposed a piecewise power function to describethe drop size distribution.

由液滴以均匀概率分裂的假设而导出了液滴粒度分布函数的递推公式，并建议分布函数采用分段幂函数的形式。

2The new cloud physical model is put forward the metric geometry.(3)The generalized cloud equations of cloud is derived on the generalized function and the Sobolev space on the Riemannian manifold.

提出了 大气模式中新一代云方案的动力学：(1)基于拓扑的云分类；(2)基于度量几何的云模型(3)利用黎曼流型上的广义函数和索伯列夫空间，系统建立了云之动力学方程组。

Therefore it's necessary to contol the concentration of TW80 to use it in the remediation of pyrene contaminated soil by AMF and corn integrated systerm.4. The AMF community and the single species derived from rock oil-contaminated soil all can be combined with corn and promote the remidation of pyrene contaminated soil , the original AMF community has obvious advantages and behave best.The residual pyrene concentration of soil in the treatments with the mixed AMF community M4 (Glomus intraradices, Glomus mosseae, Glomus etunicatum and Acaulospora tuberculata) and corn integrated systerm got 0.12mg/kg,0.54mg/kg and 3.92mg/kg respectively in 1mg/kg, 10mg/kg and 50 mg/kg pyrene treatments,decreased 32.6%,58.6% and 42.2% respectively than that of the treatment of M1,decreased 28.1%,59.9% and 36.6% than that of M2(G.intradices), decreased 2.7%,55% and 23.5% than that of M3 (G.intradices + G.mossea).5.Large scale reproduce overall of AMF community which coming from rud oil-contaminated soil in the absence of the original conditions will change the quantiy,composition and structure of the AMF population and may has negative impact on it's function in the remedition of soil pyrene contamination.

因此，在植物与AMF联合修复土壤芘污染中使用TW80应该注意控制TW80的浓度。4、从石油污染土壤中扩繁出的AMF混合菌群及其中的单一菌种与玉米联合均能促进土壤芘污染的修复，原始混合菌群具有明显的种群优势，其与玉米联合修复土壤芘污染的效果最佳。1mg/kg、10mg/kg和50mg/kg芘处理土壤中，玉米接种混合菌种M4(Glomus intraradices， Glomus mosseae， Glomus etunicatum和Arcaulospora tuberculata)处理土壤的芘残留浓度分别为0.12mg/kg，0.54mg/kg和3.92mg/kg，分别比接种单一菌种M1处理降低了32.6%，58.6%和42.2%，比接种单一菌种M2(G.intradices)处理降低了28.1%，59.9%和36.6%，比接种复合菌种M3(G.intradices+G.mossea)处理降低了2.7%，55%和23.5%。5、从石油污染土壤中扩繁出的混合AMF菌群在无原始条件下的整体扩繁会改变菌群的组成及其结构，并会对菌群与玉米联合修复土壤芘污染的功能产生不利影响。

Then the FFT algorithm of the cubic phase function is derived, and is further improved through rounding the last sample point so as to use in practical discrete sampling systems.

然后推导了三次相位函数的FFT快速算法，并进一步采用了舍入最近采样点的方法改进算法，使其可以应用于实际的离散采样系统。

As for azimuth scalloping compensation, accurate Doppler Centroid estimation is needed. Besides, superior scalloping correction function also plays an important role which needs to be derived from specific ScanSAR azimuth parameters.

针对方位向Scalloping校正，其关键在于精确估计多普勒中心频率，同时还要根据ScanSAR模式的技术特点建立较优的Scalloping校正函数。

In the study of the stochastic chaos in simple pendulum, the random Melnikov process is derived and the mean-square criterion is used to determine the threshold amplitude of the bounded noise excitation for the onset of the chaos or random chaos in the system. For the coupled simple pendulum and harmonic oscillator, the Melnikov function is used to determine the condition for the onset of chaos in the case of Hamiltonian perturbations. In the case of non-Hamiltonian perturbation, the generalized random Melnikov process and mean-square criterion are used to determine the threshold amplitude of the bounded noise for the onset of random chaos.

在随机混沌研究中，应用随机Melnikov过程的均方准则研究了单摆在有界噪声激励下发生混沌或随机混沌时有界噪声激励的临界幅值；对于耦合的单摆-谐振子系统，先用Melnikov函数研究了在哈密顿扰动下发生混沌的必要条件；然后用推广的随机Melnikov过程方法研究了在非哈密顿扰动下发生随机混沌的必要条件；用最大Lyapunov指数及Poincaré截面方法结果与上述理论结果作了对比。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。