Sentence examples for by replacing the harmonic from inspiring English sources

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In recent years, it has been considered that by replacing the harmonic function with the solutions of Helmholtz equation and modified Helmholtz equation, the theory of regular functions is naturally generalized in quaternion calculus and Clifford calculus.

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KHM algorithm addresses the intrinsic problem by replacing the minimum distances from the data point to the centers, used in K-means, by the harmonic averages of distances from the data point to all centers.

Therefore, the characteristic of HIFs should be studied to replace the harmonic feature and improve the detection algorithms.

Moreover, the existing steering magnets will be replaced by the harmonic sextupoles.

(i) The approach replaces the original image with harmonic cut, where inter-nuclei structural details (e.g. nucleoli) are interpolated for smoothness.

In Western art music of the late 19th century, seventh and ninth chords, serving as expressive reinforcements of basic harmonic functions, often replaced the triad altogether.

For example, Fukuda et al. [11] replaced the traditional Mel-frequency cepstral coefficients (MFCCs) by the harmonic structure information that made a significant improvement of recognition rate in ASR system.

Bell likes "Music For Eighteen Musicians," by Steve Reich, and "Hearing Solar Winds," by the Harmonic Choir.

Melodies are produced by touching the harmonic nodes of the playing string with the thumb.

Clusters were identified by dominance of the harmonic associated with a high 24-hr diurnal component relative to other harmonics.

The pitch generated by the harmonic is the natural pitch for reference.

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