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LaghZen
searching Neon…
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Show HN: SDF-Field Synthesis – rendering SDF without ray marching
(zenodo.org)
2 points
by
LaghZen
11mo ago
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0 comments
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LaghZen
1y ago
Thanks for the help! It will take at least a week to fix the gap. During the addition, I came across a more serious problem: there was a contradiction between the "hard" function (ε = 2^(—n)) and the statement Algphys ⊆ P. I'
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LaghZen
1y ago
You’re right — the paper does not currently contain an explicit theorem stating, word-for-word, that “every polynomial-time Turing machine is mapped to a low-rigidity region.” In section C.4, at the end of step 4, there is a statement: the
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LaghZen
1y ago
Thanks for the follow-up! Equivalence of P and Algphys: Section 2.3 and Appendix D show any polynomial-time algorithm can be modeled in Algphys with preserved complexity. Polynomial Mapping: Section 2.2 and Appendix C detail symplectomorphi
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LaghZen
1y ago
Hi! Thanks for the question! 1. Algphys is shown to be equivalent to P, meaning any polynomial-time Turing algorithm can be modeled in Algphys. The paper constructs "frustrated" 3-SAT instances requiring exponential time in Algphy
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Show HN: Student attempt at proving P ≠ NP using geometry and lattices
(zenodo.org)
6 points
by
LaghZen
1y ago
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8 comments