# Solutions to a Functional Equation via Stern-Brocot Tree Fractions

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This Demonstration generates solutions of the functional equation starting from . The solutions correspond to Stern–Brocot tree fractions at level . Change at the top for more complicated solutions. Click the " versus " button to see a plot of the computed solution depending on as a parameter, which you can vary with the "vary or " slider. Similarly, click the " versus " button and vary the parameter . Finally, click the "singularities" button to see the points where the computed function is not defined. The color-coding of those points helps identify where the parts of the solution originated.

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Contributed by: Jan Fiala (November 2016)

(UVa Wise)

Open content licensed under CC BY-NC-SA

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Reference

[1] J. Fiala, "Statistical Mechanics of Farey Fraction Spin Chain Models," Ph.D. thesis, Department of Physics, The University of Maine, 2004. www.library.umaine.edu/theses/pdf/FialaJ2004.pdf.

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