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For scalar equation,, Cartwright's results in [17] implied that the number of basic frequencies of, is the same as that of basic frequencies of its unique solution.
Any such choice of (omega_{1},ldots,omega_{m}) will be called a set of basic frequencies for (u(t)).
Some properties of basic frequencies (the base of spectrum) were discussed for almost periodic functions by Cartwright.
Then it is easy to verify that u is quasi-periodic with basic frequencies (frac{1}{T_{j}}) ((j=1,ldots, p)).
In [17], Cartwright compared basic frequencies (the base of spectrum) of almost periodic differential equations (ODE),, with those of its unique almost periodic solution.
The average basic frequencies, average peak peak voltages, and average peak peak sound pressures calculated from the waveforms in 2.00 m intervals are shown in Table 2.
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The basic frequency is 1.8 GHz.
The result exhibits the basic frequency ν as the carrier frequency.
Likewise, taan is one of the basic frequency modulations demonstrated by Hindustani Indian classical singers.
For the combined filtering approach, basic frequency response analysis cannot be applied, and the plotted frequency responses are obtained through simulations.
(i)There exist and a closed set having positive measure such that for any, there exists a quasi-periodic solution for (1.5) with the basic frequency.
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