研究由分段线性谱序列生成的广义傅里叶级数的逐点敛散性。
In this paper, the pointwise convergence and divergence of a class of generalized Fourier series generated by piecewise linear spectral sequences are studied.
讨论了利用傅里叶级数把连续周期时域信号转换成离散的频域信号的必要性。
This paper describes the need to transform the continuous periodic signal in time domain to the discrete signal in frequency domain by using Fourier Series (FS).
采用傅里叶级数展开计算法、实现对电压、电流、功率因数和电量的测量和计算；
It uses Fourier series in expanding calculus, to achieve the measuring and calculation of volt, current, power factor and quantity of electricity.
借助傅里叶级数理论建立球面四杆机构处于空间任意位置时连杆曲线的数学方程。
The relationship between the harmonic component of the coupler curves and the harmonic component of the rotation-angle function and the dimensional type of spherical four-bar mechanism is discovered.
通过一个广义的傅里叶级数方法求解的控制方程，并随后得到相应的载荷挠度曲线。
The governing equations are solved by means of a generalized Fourier series method, and subsequently the corresponding load deflection curves are obtained.
如果地板的广度是无限的，那么可以用一个二维傅里叶级数来表示反射光的数学分布。
If the floor were infinite in extent, the mathematical distribution of reflected light could be regarded in terms of a two-dimensional Fourier series.
利用分离变量法和二重傅里叶级数的方法，得到了矩形膜的受迫振动初边值问题的解。
By using separation of variables and double Fourier series, we obtain a solution to the initial-boundary value problem of the forced vibration of this rectangular membrane.
为在计算机上做傅里叶级数的分解，需要对连续信号进行抽样，然后按离散傅里叶级数进行分解。
In order to analyzing digital signals with the aid of computers, it is necessary to use Fourier Series of discrete form.
本文用傅里叶级数的方法分析了合成波形的频谱特性，并对由于相位截断引起的杂散谱作了讨论。
This paper analyzes the spectral characteristic of the synthesized waveform by use of the Fourier Series, and discusses the spurious spectrum of the phase truncation errors.
利用傅里叶级数对其进行了频谱分析，计算了次数小于19次的各次谐波电流均方根值的频谱数据。
Using Fourier series, the frequency spectrum analysis was analyzed, and spectrum data of harmony wave less than 19 were calculated.
研究表明，只要傅里叶级数项数不少于30，改进后的算法比直接用复高斯函数展开具有更高的计算精度。
It is shown that the improved algorithm provides more accurate calculation results than the complex Gaussian function expansion, so long as the number of Fourier series is no less than 30.
这个方法是根据周期函数的傅里叶级数的性质和利用数学的抽象性质，直接推导出另外三种形式的傅里叶变换。
According the basic properties of Fourier series of period function and using of the abstract nature of mathematics, the method directly derives other 3 kinds of Fourier transform.
通过对开关函数求傅里叶级数，将开关函数模型分解为高频和低频两个模型，从而求得整流器的状态空间平均模型。
The switching function model may be divided into two models of high frequency and low frequency. Then the average model for condition space of the rectifier is developed.
借助于脉冲波形的傅里叶级数分解，研究了一般交流应力条件下金属化电迁移的影响因素，建立了一般交流应力条件下金属铝膜电迁移寿命模型。
Metal Aluminium film EM in general AC stress has been researched with Fourier decomposition, developing a Metal Aluminium film EM life model under in general AC stress.
借助于脉冲波形的傅里叶级数分解，研究了一般交流应力条件下金属化电迁移的影响因素，建立了一般交流应力条件下金属铝膜电迁移寿命模型。
Metal Aluminium film EM in general AC stress has been researched with Fourier decomposition, developing a Metal Aluminium film EM life model under in general AC stress.
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