The
nonharmonic bandwidth F and scaling constants [c.sub.1], [c.sub.2] [member of] K satisfy the following condition:
Schaeffer, "A class of
nonharmonic Fourier series," Transactions of the American Mathematical Society, vol.
In that paper, the author described a number of different tools that were developed to address controllability problems, often inspired and related to other subjects concerning partial differential equations: multipliers, moment problems,
nonharmonic Fourier series, etc.
I ask myself, "How many people will hear the return of the tonic at the end of a movement of a classical symphony?" Beethoven himself, with functional harmony available, always introduced many effects coordinated with the return of the tonic, at the start of recapitulation (some kind of emphatic
nonharmonic effect--for example, a pause or a pedal point, so that when the theme returns to the tonic it seems obvious that something has taken place, regardless of whether the listener has or hasn't recognized that it's the tonic).
The generators provide less than 1-ps jitter, total harmonic distortion less than 0.03%, and
nonharmonic spurs below -75 dBc.
The full calculation (12) takes into account the
nonharmonic excitation given by (10) that couples all states |1>, |2>, |3>, and |4?
(3) The Kalman filter allows filtering preselected resonant
nonharmonic frequencies, which is not possible with the adaptive discrete Fourier transforms.
Nevertheless, the
nonharmonic disturbances generated by nonlinear exosystems, which will make practical servo systems, generators, and power flexible mechanisms produce noise and precision reduction [20], are harmful to these practical running systems.
Sukhushin, "Synthesis of ultrawideband radiators of
nonharmonic signals," 6th International Conference on Mathematical Methods in Electromagnetic Theory, 425-428, 1996.
Ferroresonance is a
nonharmonic resonance characterized by overvoltages whose waveforms are highly distorted and can cause catastrophic equipment damages [1, 5].
Airway resistance was measured using an 8-second forced oscillation, composed of nonoverlapping,
nonharmonic frequencies that were used to produce an index of central airways resistance, [R.sub.n] (Newtonian resistance).
For the analysis of vibrational processes of the objects, which are excited by harmonic and
nonharmonic signals it is very important to carry out the qualitative and quantitative analysis of vibrations distribution on the surface within a single period [18, 19].
Schaeffer, A Class of
Nonharmonic Fourier Series, Trans.
The first movement demands the cellist to play in far-reaching ranges, cover a variety of tempos, and frequently pass over
nonharmonic tones.