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Pierce-Birkhoff conjecture is true for splines

math.AG · 2025-07-10 · conditional · novelty 7.0

Every continuous spline of any degree on any hyperplane partition of R^n is a finite lattice combination of ordinary polynomials.

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  • Pierce-Birkhoff conjecture is true for splines math.AG · 2025-07-10 · conditional · none · ref 1

    Every continuous spline of any degree on any hyperplane partition of R^n is a finite lattice combination of ordinary polynomials.