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Liz Fielding Series

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Preview of Shape-Adaptive Stretchable Rulers for Fourier Solutions
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Shape-Adaptive Stretchable Rulers for Fourier Solutions (59.pdf)

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Geometric intuition has been crucial for mathematical progress, as noted by Andre Weil. This chapter introduces 'stretchable rulers'—anisotropic coordinate systems—that enable classical Fourier solutions for boundary value problems in irregular domains like starlike shapes.

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