| 41. | Under rather general conditions, a periodic function can be expressed as a sum of sine waves or cosine waves in a Fourier series.
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| 42. | A Fourier series, however, can be used only for periodic functions, or for functions on a bounded ( compact ) interval.
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| 43. | Strictly speaking, stochastic resonance occurs in bistable systems, when a small periodic ( periodic function that it shows in the system response.
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| 44. | With \ displaystyle A ( t ) a piecewise continuous periodic function with period T and defines the state of the stability of solutions.
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| 45. | If the original sequence is one cycle of a periodic function, the DFT provides all the non-zero values of one DTFT cycle.
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| 46. | Since the sine function is a periodic function, there are infinitely many solutions if there are no restrictions on " ? ".
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| 47. | The Fourier transform of a periodic function,, with period, becomes a Dirac comb function, modulated by a sequence of complex coefficients:
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| 48. | Bohr worked in mathematical analysis, founding the field of almost periodic functions, and worked with the Cambridge mathematician G . H . Hardy.
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| 49. | The doubly periodic function is thus a two-dimensional extension of the simpler singly periodic function, which repeats itself in a single dimension.
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| 50. | The doubly periodic function is thus a two-dimensional extension of the simpler singly periodic function, which repeats itself in a single dimension.
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