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Preview of Waves
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Waves (58.pdf)

3.07 MBEN 9 pages
The Gielis formula can be rewritten in terms of Chebyshev polynomials, relating to algebraic functions and transformations on Chebyshev polynomials and...
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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)

128 KBEN 4 pages
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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