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Harmonic extension - PowerPoint PPT Presentation

Non linear problems with Fractional Diffusions

Non linear problems with Fractional Diffusions. Luis A. Caffarelli The University of Texas at Austin. Non linear problems involving fractional diffusions appear I in several areas of applied mathematics: Boundary diffusion (see for instance Duvaut and Lions)

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509 views • 40 slides

Arranging Pop Songs

Arranging Pop Songs. Jyun-Ming Chen. Motivations. How do I create a melody? How do I harmonize the melody? What rhythms are available? Can I arrange a song from ???. ??. ???. ??. ???. ??. ???. ??. Scale Tones. ???????????????. ? C ?????. Tonic(I). Leading note (VII).

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482 views • 26 slides

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Harmonic extension - PowerPoint PPT Presentation

Non linear problems with Fractional Diffusions

Arranging Pop Songs