transform pair造句
例句與造句
- In summary, the sine transform pair, in contrast to the Fourier transform pair, has a very limited applicability.
- In summary, the sine transform pair, in contrast to the Fourier transform pair, has a very limited applicability.
- The functions and often are referred to as a " Fourier integral pair " or " Fourier transform pair ".
- In quantum mechanics, the momentum and position wave functions are Fourier transform pairs, to within a factor of Planck's constant.
- Most people learn about Gaussians and impulse trains transforming to versions of themselves, but the typical transform pair involves two different kinds of functions.
- It's difficult to find transform pair in a sentence. 用transform pair造句挺難的
- Then, one computes the integral of G around an appropriate contour in the complex \ lambda-plane, and this yields the sine transform pair.
- For the initial value problem of the heat equation, using the Fourier transform pair, it is straighforward to obtain both the relevant contour and the function U ( \ lambda ):
- This conjecture, also studied by Hirschman and proven in 1975 by Beckner and by Iwo Bialynicki-Birula and Jerzy Mycielski is that, for two normalized, dimensionless Fourier transform pairs and where
- If now one assumes that r and S satisfy the necessary conditions for Fourier inversion to be valid, the Wiener Khinchin theorem takes the simple form of saying that r and S are a Fourier transform pair, and
- The good news is that there " does " exist a systematic, albeit complicated, way for deriving the appropriate transform pair for a given IBVP . For example, for the case of equations and one first computes the associated Green's function, namely one solves the following ODE:
- The mathematical transform which shifts the phase of all components of some function by \ scriptstyle \ frac { \ pi } { 2 } is called a Hilbert transform; the components of the magnetization vector can therefore be any Hilbert transform pair ( the simplest of which is simply \ scriptstyle \ sin ( x ) \ cos ( y ), as shown in the diagram above ).
- This is another way of writing the Abbe sine condition, which simply reflects Heisenberg's uncertainty principle for Fourier transform pairs, namely that as the spatial extent of any function is expanded ( by the magnification factor, " M " ), the spectral extent contracts by the same factor, " M ", so that the " space-bandwidth product " remains constant.
- In the latter form ( for a stationary random process ), one can make the change of variables \ Delta t = t-t'and with the limits of integration ( rather than [ 0, T ] ) approaching infinity, the resulting power spectral density S _ { xx } ( \ omega ) and the autocorrelation function of this signal are seen to be Fourier transform pairs ( Wiener Khinchin theorem ).