We prove PSPACE-completeness of the well-studied pushing-block puzzle Push-1F, a theoretical abstraction of many video games (introduced in 1999). The proof also extends to Push-$k$ for any $k \ge 2$. We also prove PSPACE-completeness of two versions...
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We prove a number of results about profinite completions of Coxeter groups. For example we prove Coxeter groups are good in the sense of Serre and that various splittings of Coxeter groups arising from actions on trees are detected by the profinite c...
We prove that if $G$ is a finite simple group and $x, y \in G$ are involutions, then $|x^G \cap C_G(y)| \rightarrow \infty$ as $|G| \rightarrow \infty$. This extends results of Guralnick-Robinson and Skresanov. We also prove a related result about $C...
We prove the last of five outstanding conjectures made by R.M. Robinson from 1965 concerning small cyclotomic integers. In particular, given any cyclotomic integer $β$ all of whose conjugates have absolute value at most 5, we prove that the largest...
First of all we give some reasons that "natural proofs" built not a barrier to prove P $\not=$ NP using Boolean complexity. Then we investigate the approximation method for its extension to prove super-polynomial lower bounds for the non-monotone com...
**TL;DR:** I’ve proven beyond a shadow of a doubt the long-running fan theory that Michael Bay’s *The Rock* is the last chapter of Sean Connery’s run as James Bond 007, and have come up with a f...
**I am NOT OOP, OOP is u/Ok_Boysenberry_7535** **Originally posted to r/AmIOverreacting** **AIO? My coworker took video of me outside of work to "prove" I'm not disabled** **Thanks to u/soayherder ...
The Championship Round NFL odds have one top seed favored at home, while the other is a home dog to utilize in Championship Round NFL bets. The N...
The New England Patriots will face the Seattle Seahawks in Super Bowl LX on Sunday, Feb. 8. The Super Bowl 2026 is a rematch from The Big Game 11...
One of the MAC's top teams will be on display Friday evening when the Akron Zips travel to take on the Ball State Cardinals in the first tip of t...
The No. 18 Saint Louis Billikens will look to get back on track after having their 18-game winning streak snapped when they battle the VCU Rams i...
The Indiana Hoosiers face the seventh-ranked Purdue Boilermakers in a key Big Ten Conference matchup on Friday night. Indiana is coming off a 71-...
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Lining up on the F1 grid for the very first time this season will be a brand new team: the American backed Cadillac F1 Team. They may be a start-up but they boast two of the most experienced drivers on the grid in Sérgio Perez and Valtteri Bottas. Pérez took a break from the spor…
With his maxi leopard print Chanel bag, the pop star issued a loud and proud proclamation that he got his hands on one of the most in-demand, status-bestowing styles of the moment.
Dec 29, 2025 · I came through the proverbial front door of (in)courage every day for six years before coming on staff in 2016. Being a reader was a profound gift, exactly when God knew I needed it.