查询词典 harmonic integral

The research of fractional integral operator and its related problems is one of the important topics in Harmonic analysis.

中文摘要：分数次积分算子相关问题的研究是调和分析中重要的课题之一。

The main contents of this course include: complex number and planar point set, function of complex variable, complex integral, series, residue, conformal mapping, analytic extension, harmonic function.

本课程的基本内容有：复数与平面点集、复变函数、复积分、级数、留数、保形映射、解析开拓、调和函数。

The expression for radial wave function of a two dimensional harmonic oscillator is derived through an integral formula of general Lagurre function.

本文用广义Laguerre多项式的母函数表达式，证得文献〔1〕中，计算ρn次幂的类氢原子径向波函数Jd平均值的通式。

A Starting from a path integral representation, obtain the Greens function of a harmonic

从路径积分表示式，得到谐振子的格林函数

A Starting from a path integral representation, obtain the Greens function of a harmonic oscillator

从路径积分表示式，得到谐振子的格林函数

The method combing harmonic linearization and integral time absolute error optimal control to realize the PWM converters' optimal control is proposed according to the hysteresis current control's characteristics.

根据滞环电流控制的特点，提出了将谐波线性化方法与ITAE优化控制律相结合的方法，以实现对PWM变换器的优化控制。

A key point in Short Time Fourier Transform is the choice of window function. Although rectangle window is regarded as the first choice because it's featured by integral harmonic to filter signals and by DC component, decaying DC component and frequency shift of signals cause great error to rectangle window STFT. In addition, transient signals contain rich information of faults, but the fixed time window of STFT fail to collect these information.

STFT 算法关键问题之一是窗函数的选择，矩形窗以滤除信号整数次谐波和直流分量的特点自然称为首选窗，但衰减直流分量和信号的频率偏移对矩形窗 STFT 造成了很大误差；其次，暂态信号中含有丰富的故障信息，傅立叶变换固定的频窗忽略了这些特征信息。

In sphere approximate, GPS/Gravity-BVP is Neumann problem over exterior spherical domains. Then the natural boundary reduction, suggested by Feng and Yu, is applied to deal with the three dimensional problems. By expansion in spherical harmonics, the natural integral equations of harmonic problems over exterior spherical domains are obtained. Meanwhile, a numerical method for solving geodetic BVP is developed.

在球近似下将GPS-边值问题转化为Neumann外问题，用自然边界元法进行自然边界归化，得到自然边界积分方程，再求自然边界积分方程的数值解，与其他边界元方法相比，自然边界元法的计算量大大减小，并且具有很好的逼近性质，能有效地处理奇异积分，是求解GPS-边值问题有效方法。

By introducing a concept of δ-fine partition on infinite interval the-integral of vector-valued functions on infinite interval was made entirely harmonic with that on finite interval.

通过引入无穷区间上δ-精细分法的概念，使无穷区间上向量值函数积分与有限区间上的积分在形式上完全和谐，并证明其与Cauchy扩张的方法和简单积分的思想是等价的。

A typical Mathieu equation subject to harmonic excitation is acquired by means of the theory of linear vibration. By using integral transformation, the series solutions to the Mathieu equation are obtained.

根据线性振动理论对系统运动微分方程组进行分析，得到了一个受简谐激励的Mathieu方程，通过积分变换，得到了Mathieu方程的级数形式解。

Continuously improve the production mechanism, to provide customers with better quality products and services.

不断的完善生产机制，给客户提供更优质的产品及服务。

B:Yes, he was the very prize-winner in the court tennis ten years ago?

是的，他是十年前的世界网球冠军。