Alon, Comb.
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The Arithmetic Circuit Combinatorial Nullstellensatz is NP-hard
Announce Type: new Abstract: A multivariate polynomial on $n$ variables $x_1,\ldots,x_n$ of total degree $n$ over $\mathbf{Z}_2$ containing the multilinear monomial $\prod_{i=1}^n x_i$ is by the combinatorial nullstellensatz Comput., 1999] known to always have a nonroot. We show that there cannot be a randomised polynomial time algorithm that given an arithmetic circuit of polynomial size formally computing such a polynomial, locates a nonroot with constant nonzero probability unless RP=NP.
Auburn student missing in Japan went off alone after family bickering on vacation, parents say
An Auburn University student missing in Japan for nearly a week had set off alone during a family vacation after his family was bickering, his parents said Thursday. Nancy and Keith Higginbotham revealed more details about the moments leading up to the May 29 disappearance of their 20-year-old son, James "Weston" Higginbotham, near Yamashina Station, east of Kyoto, during an interview on "FOX & Friends First. ""We decided to separate," Nancy Higginbotham said.
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Sub-postmaster secures £2MILLION pay-out after being wrongly accused of stealing £89,000 from Post Office
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Molecular glue degraders of HuR suppress BRAF-mutant colorectal cancer
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Best Red-Light Therapy for Hair Restoration and Regrowth (2026)
Hair loss isn’t always dramatic. It can be incremental. You start noticing a bit more scalp in harsh bathroom lighting; a tiny bald spot when you tie your hair up in a ponytail.