| 41. | They begin with Fourier analysis because of its central role within the historical development and contemporary practice of analysis.
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| 42. | Together with Norbert Wiener and Torsten Carleman, he can be viewed as a moderate modernizer of classical Fourier analysis.
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| 43. | Because of this property we will be able to view the Fourier analysis taking place in multiple dimensions successively.
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| 44. | Campbell and Robson promoted using sine-wave gratings by arguing that the human visual performs a Fourier analysis on retinal images.
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| 45. | The existence of this property can be shown by performing Fourier analysis on signals derived from segments of DNA sequences.
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| 46. | Stein taught Fourier analysis in that first semester, and by the fall of 2000 the first manuscript was nearly finished.
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| 47. | The Fourier transform of a radial function is also radial, and so radial functions play a vital role in Fourier analysis.
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| 48. | It is a generalization and refinement of Fourier analysis, for the case when the signal frequency characteristics are varying with time.
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| 49. | Fortunately, an arbitrary wave shape can be decomposed into an infinite set of sinusoidal waves by the use of Fourier analysis.
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| 50. | But Fourier analysis says that we know that any function can be represented by the sum of a set of sine waves.
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