1. See convergence of Fourier series for further details.

2. The Rieman-Stieltjes integral, uniform convergence of series and integrals, power series and Fourier series.

3. Let φ be a function on the unit circle with absolutely convergent Fourier series.

4. Then 1/φ has absolutely convergent Fourier series if and only if φ has no zeros.

5. The periodicity of the phase angles permits approximation of the behaviour rule by a finite Fourier series.

6. Chirped pulse Fourier transform microwave spectroscopy

7. The potentials result as Fourier series ofn terms; their coefficients are determined from the numerical solution of a 10×n algebraic equations system.

8. Interferometer and fourier-transform spectroscopic analyzer

9. Automated servo gain adjustment using fourier transform

10. The temperature distribution in an extended surface geometry, a cylindrical tee plug, has been obtained by transforming the governing Fourier-Bessel-Kernel function into a summable series.

11. The system is forced by a function that represents the contraction of the adductor muscle, in this case a Fourier series defining a half wave rectified sine wave.

12. Instead of using the usual and highly algebraic approach it is shown how a Fourier transform of the ordern=p·m can be reduced top Fourier transforms of orderm by performing essentiallym Fourier transforms of orderp on the data.

13. 2 In addition, Fourier finite difference operator is optimized desirably.

14. This field is given analytically as a Fourier transform.

15. Some of the shortcomings of Fourier spectroscopy are also critically reviewed.

16. Var Clubber = new Clubber ({size: 2048, // Samples for the fourier transform

17. k6fftwgel -- Library for computing Fast Fourier Transforms on AMD K6-2.

18. French utopian socialism thinker Charles Fourier was born on April 7 th.

19. In Chirped pulse experiments, magnitude Fourier transform is used to generate frequency domain spectra

20. Fourier transformation is a suitable procedure for the detection of spontaneous cochlear emissions.

21. Inverse Fourier transforming of the plurality of k -space matrices provides one reconstructed image.

22. The observables are computed through linear algebra from the Fourier transform of direct images.

23. The term Characteristic function is used in a different way in probability, where it is denoted and is defined as the Fourier transform of the probability density function using Fourier transform parameters, (1) (2)

24. Very high resolution Raman spectra can be obtained by adapting a Fourier Transform Infrared Spectrometer.

25. Disclosed are a small-area 64-point fast fourier transform (FFT) processor and an FFT method.

26. Subsequently, the computed seasonal function is transformed in an analytic form using the discrete Fourier transformation.

27. Two different heat transfer equations are considered: The Fourier (parabolic) equation and the hyperbolic heat conduction equation.

28. This work employs Fourier transform ion cyclotron resonance (FT-ICR) and the Gaussian quantum chemistry composite methods W1 and G2 to experimentally and computationally analyze gas-phase Basicities (GB) for a series of weak bases in the basicity region around and below water

29. The spectrum of the sound emitted shall be measured according to the Fourier transform of the acoustic signal

30. His research deals with analysis in several complex variables, where he introduced Fourier-Borel transformations for analytic functionals.

31. The infrared absorption measurements were performed using a Fourier transform spectrometer equipped with a long-path gas cell.

32. The Fourier Transform method is used to compute transient magnetic fields in a 1.3 GVA superconducting alternator.

33. The spectrum of the sound emitted shall be measured according to the Fourier transform of the acoustic signal.

34. His operational calculus is based upon an algebra of the convolution of functions with respect to the Fourier transform.

35. 19 As well as the frequency spectrum, one can define wave number spectra - Fourier transforms of the space correlations.

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38. With Abelian it is possible to sample, periodize and perform Fourier analysis on elementary LCAs using homomorphisms between groups.

39. 1964 Richard R. Ernst performs experiments that will lead to the development of the technique of Fourier transform NMR.

40. The Canonesses of St Augustine, Congregation of Our Lady was founded in 1597 by St Peter Fourier and Blessed Alix Le Clerc

41. After affirming the existence of non-Fourier effect, the hyperbolic equation suited for describing rapidity heat transfer process inside propellant is obtained.

42. Finally, some problems in analytical chemistry which have been studied by means of Fourier transform spectroscopy are summarized (155 references).

43. I Cashed some Series E, Series EE, and Series I savings bonds

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46. Application of complex conjugate gradient method(CCGM) and fast Fourier transform(FFT) to study multitudinous scattering in near-field optics.

47. The three well-known nineteenth-century ideologists Saint-Simon, Fourier, Owen would develop the Utopian socialism theory to the highest stage.

48. Unlike Owen, who accepted state intervention to set up his “villages,” Fourier believed his system would work on an entirely voluntary basis.

49. Andradite-Grossular Series, and the Andradite-Schorlomite Series

50. Fourier transforms may be used to convert some differential equations to algebraic equations for which methods of solving them are known.

51. Multi-series accumulation cell, series accumulation cell device, and series cell voltage balance correction circuit

52. Natural frequencies of four vertical and five transverse modes of the bridge were identified from the Fourier amplitude spectra of the accelerograms.

53. Alkane - a series of non-aromatic saturated hydrocarbons with the general formula CnH(2n+2) Alkane series, methane series, paraffin series, paraffin

54. The iCrate series is called the “1500 Series”

55. 11 Secondly, the eyepiece and the Fourier transform lens are designed to minimize the secondary color by the ways of changing glass.

56. Series B through Series F evolved from identically named alphabet series which were introduced in 1927.

57. A series is absolutely convergent if the series Converges

58. Infinite series: definition of convergence, tests, power series, Taylor polynomials and remainder, Taylor series and applications.

59. Actinide series

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61. A Fourier analysis shows a semidiurnal component with an amplitude of 1 /2 of that of the diurnal component, phase shifted by 180°.

62. The dual group of a locally compact abelian group is used as the underlying space for an abstract version of the Fourier transform.

63. (Reference Series).

64. Several infinite series are described, including series for sine, tangent, and cosine, which are now referred to as the Madhava series or Gregory–Leibniz series.

65. Fourier transform infra red ray spectrum (FT IR), differential scanning calorimeter(DSC) and cross link density were employed in the experiment, and the relation...

66. Doghouse series.

67. The method is based on modification of the magnitude (not the phase) of Fourier coefficients and does not require the original signal for detection.

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71. The two dimensional phase encoder spatially distributes the spatially modulated laser beam prior to application to the medium through a first Fourier transform lens (3).

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74. Amplitude reproducibility was somewhat higher under steady-state as compared to transient stimulation; we attribute this to the high noise rejection of the Fourier analysis.

75. The series is counter-intuitive because, unlike the harmonic series, it converges.

76. Comparisons of Fourier harmonics between scallop beds separated by age and sampling year, and corrected for allometry, revealed significant differences in the majority of harmonic numbers.

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