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By Kerimov N. B.

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Additional info for A Boundary Value Problem for the Dirac System with a Spectral Parameter in the Boundary Conditions

Sample text

Generally, what at first appears to be a random distribution of wave amplitude and wave length (or wave period) in an observation of a group of ocean waves results in a relatively peaked spectrum. In such a spectrum, the wave energy is concentrated primarily at one frequency, the spectral peak, with less energy at higher and lower frequencies. Consider for a moment a sound that results in a peaked spectrum. Suppose that sound is produced by two very similar frequencies. The subsequent sound will consist of one tone that has a frequency equal to the average of the two frequencies and a second tone that has a frequency WAVES 27 equal to half the difference between these two frequencies.

Consider for a moment a sound that results in a peaked spectrum. Suppose that sound is produced by two very similar frequencies. The subsequent sound will consist of one tone that has a frequency equal to the average of the two frequencies and a second tone that has a frequency WAVES 27 equal to half the difference between these two frequencies. This results in an amplitude-modulated sound. The frequency is constant, but the sound level varies slowly and periodically with time. We call the variation the beat frequency of the sound.

The spectrum of light shows how the light’s intensity varies with the colors, each of which has a specific wavelength. This concept of considering a quantity composed of individual components, each with a specific magnitude and frequency, has been extended to many other fields. ) Consider the spectrum of a sound. If the sound is one pure frequency, the spectrum that indicates the distribution of sound intensity (or energy) with frequency will be a vertical line at the frequency of the signal. However, if the sound has intensities that are the same for a wide range of frequencies, the energy spectrum will consist of a horizontal line at the energy WAVES 21 corresponding to that of these frequencies.

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A Boundary Value Problem for the Dirac System with a Spectral Parameter in the Boundary Conditions by Kerimov N. B.


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