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1 For the partial sum of Fourier series of square wave functions, the weakness of the original expression is pointed out in the paper, and a new expression of Lth partial sum of Fourier series is given.

2 In this paper the expression of discrete Fourier series(DFS) for periodic sequences has been deduced from periodic sequence linear approximation and orthogonal decomposition.

3 This paper discusses the relation between Fourier series and wavelet transform.

4 In Linear system, Fourier Transform (FT), Fourier Series (FST), Fourier Z Transform (FZT) and Discrete Fourier Transform (DFT) are used to analyze and process signals.

5 Further , by double FOURIER series expansion and intricate derivation, strict output analytic solution is acquired.

6 A periodic function, finite Fourier series, is used to activate the actuator for obtaining training samples.

7 We will not go into detail about Fourier series, but will simply look at one example.

8 Review of Fourier transform, Fourier series,[www.Sentencedict.com] and discrete Fourier transform.

9 In Linear system, Fourier Transform(FT), Fourier Series(FST), Fourier Z Transform(FZT)and Discrete Fourier Transform(DFT)are used to analyzing and processing signals?

10 Laplace transformation, array, vector, determinate, linear equation set, Fourier series, partial differential equations.

11 It uses Fourier series in expanding calculus, to achieve the measuring and calculation of volt, current, power factor and quantity of electricity.

12 Even when such a calculation is not followed through, the insight obtained from the Fourier series concept is often helpful.

13 According to the desired accuracy, we determine the number of terms in the Fourier series and Legendre polynomials, then the Practical simplified formulae are obtained.

14 In some circuit textbooks the rectifier circuit with the filter has been used as an example to illustrate the harmonic analysis of nonsinusoidal circuit adopted Fourier series.

15 On the basis of the mathematical elastic theory, the bending deflection expression of the complex Fourier Series is derived at first for the infinite plate with a unit circle.

16 The method uses the DC component and the first harmonic of a curve'S chain code expressed by fourier series to fit the curve, avoiding the inverse calculation of an array used in general methods.

17 In this paper the problem of beams on tensionless winkler foundation is solved by Fourier series and method of successive substitution.

18 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.

19 The spectrum characteristics of the phase truncation error and amplitude quantization error are analyzed by the method of Fourier series.

20 By using the method of coordination transformation and expandedness Fourier series, an analytic solution is obtained from studying the Newtonian fluids laminar flow in eccentric anulus.

21 Gibbs phenomenon is explained based on the above, and formulas for calculating extreme points of the partial sum of Fourier series of the square wave are inferred using a new method.

22 First and second order linear differential equations Path integral Numerical series Functions of the real variable: sequences and series of functions, entire series, applications to Fourier series.

23 In this paper, the pointwise convergence and divergence of a class of generalized Fourier series generated by piecewise linear spectral sequences are studied.

24 Natural frequencies and natural modes are determined by the null-field integral formulation in conjunction with degenerate kernels, tensor rotation and Fourier series.