Example sentences of "the fourier [vb base] of " in BNC.
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| 1 | Defining the relative fluctuations in mass density as where is the mean mass density of the Universe , we can relate the variance , , of mass-density fluctuations on a scale R to the power spectrum by Rayleigh 's theorem where is the Fourier transform of a window function on a scale R . |
| 2 | We now introduce the Fourier transform of the autocorrelation such that ( R(s) being an even function ) . |
| 3 | Thus this procedure measures the Fourier transform of the autocorrelation function . |
| 4 | An important equation in the theory of homogeneous isotropic turbulence is obtained by considering the Fourier transform of the double velocity correlation . |
| 5 | The closure problem has come through in the appearance of another function F in the equation for E ; F is related to the Fourier transform of the triple correlation . |
| 6 | Thus , with the help of a dummy variable t' for clarity , a nonperiodic signal may be represented by Now the pulsatances of the nth and ( n + 1 ) th harmonics are and so Hence or where , dropping the primes , since they are no longer necessary for clarity , The function G ( ο); giving the amplitude distribution in the equivalent continuous spectrum of the nonperiodic function F(t) is said to be the Fourier transform of F(t). |
| 7 | The problem can be overcome in the case of any straight step function by evaluating the Fourier transform of the corresponding exponentially decaying step function and then finding its limit as the rate of decay goes to zero . |