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Introduction to Fourier Series
2013We start the book by considering the series \(\mathop {\Sigma }\nolimits _{n=1}^\infty {\mathrm{sin}(n x) \over n},\) a nice example of a Fourier series. This series converges for all real numbers x, but the issue of convergence is delicate. We introduce summation by parts as a tool for handling some conditionally convergent series of this sort.
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Improved cellulose X-ray diffraction analysis using Fourier series modeling
Cellulose, 2020Wenqing Yao +2 more
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Fourier series and Fourier transforms
2013Some of the most versatile mathematical functions are the trigonometric functions sine and cosine. As a result, it is often very helpful to express a general function as a linear combination of these functions and then to carry out manipulations on the resulting series.
Peter Atkins +2 more
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Forecasting tourism demand using fractional grey prediction models with Fourier series
Annals of Operations Research, 2020Yi-Chung Hu
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The Fourier Series and Fourier Transform
2020We encountered the Fourier series in passing in Chap. 5. Then it was just to illustrate the importance of sine waves as a fundamental waveform from which more complex ones such as a square wave could be constructed by adding them with different frequencies and amplitudes.
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Fourier Series and Fourier Transforms
2003In Chapter 3, we touched upon the analogy between the diffraction of x-rays and that of visible light. Here, we extend that discussion and consider some aspects of Fourier series and Fourier transforms.
Mark Ladd, Rex Palmer
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Concept, implementations and applications of Fourier ptychography
Nature Reviews Physics, 2021Guoan Zheng, Cheng Shen, Shaowei Jiang
exaly
Intrinsic chirp component decomposition by using Fourier Series representation
Signal Processing, 2017Shiqian Chen +4 more
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