Let X be a normal affine algebraic variety with regular action of a torus \TT and T\subset\TT be a subtorus. We prove that each root of X with respect to T can be obtained by restriction of some root of X with respect to \TT. This allows to get an el...
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Let $spex(n,H_{minor})$ denote the maximum spectral radius of $n$-vertex $H$-minor free graphs. The problem on determining this extremal value can be dated back to the early 1990s. Up to now, it has been solved for $n$ sufficiently large and some spe...
Gotta ask… anybody in here ever hook up with a coach. There’s always rumors. Let’s get some confessions....
Let $p_{-t}(n)$ denote the number of partitions of $n$ into $t$ colors. In analogy with Ramanujan's work on the partition function, Lin recently proved in \cite{Lin} that $p_{-3}(11n+7)\equiv0\pmod{11}$ for every integer $n$. Such congruences, those...
Feb 5, 2026 · The EnCompass system runs AI agent programs by backtracking and making several attempts, finding an LLM’s best set of outputs. It lets programmers easily experiment with different …
Your favorite caffeine-addled, sleep deprived, tree chomping ape is back with a fresh pack of crayons, glitter and glue. Let's get to it. Conflicts of interest, predatory financial organizations and ...
It's been nearly a month since this was first brought to our attention - and what a month it's been! But there's still time to stop Wall Street from defunding the SEC and killing Market Reform, and th...
Christmas and the New Year is just around the corner! We're getting ready for another year of cool startup ideas. What are you building or planning to build for the incoming year of 2026? I work at ...
Saw a post by toxictokki on TikTok (wouldn’t let me post the link) showing off some gorgeous new collab skins. They did say they were for Chinese fans but I was iust wondering if they were exclusiv...
Jan 16, 2011 · Why have a letter in a word when it’s silent in pronunciation, like the b in debt? Can anyone please clarify my uncertainty here?
For those that don’t have socials this is what his girlfriend just posted. Texts of him saying he NEVER cared what happened in the show and he was always going to be with her. She’s explained it a...
Downstairs are the stable, the storage rooms and sometimes a fireplace. You'll have to go on downstairs out of the way. I can't talk to my friend because he won't let me go downstairs to see her. The great …
Let $G$ be the group $GL_r(C) \times (C^\times)^n$. We conjecture that the finely-graded Hilbert series of a $G$ orbit closure in the space of $r$-by-$n$ matrices is wholly determined by the associated matroid. In support of this, we prove that the c...
assigned the WHOS call letters by the Federal Communications Commission; they did not stand for anything in particular. As a daytime-only station, WHOS could
So first and foremost let there be no confusion I know what type clefairy & jigglypuff are. Fully aware they're fairy no confusion. But stat/level training me who's mindlessly running battles is a...
If you know about the girl with a list, what was the most unhinged reason in your opinion? As in "this is absolutely insane, idk why someone would choose to let this happen to them?" kind of unhinged....
Sep 16, 2025 · Liquid Glass design that reflects light and refracts what's underneath. It's system wide, with dynamic tab bars and toolbars that morph to provide more tools or let you view more of what's …
Let $\mathfrak{J}$ be a class of non-abelian simple groups and $\mathfrak{X}$ be a class of groups. A chief factor $H/K$ of a group $G$ is called $\mathfrak{X}$-central in $G$ provided $(H/K)\rtimes G/C_G(H/K)\in\mathfrak{X}$. We say that $G$ is a $\...
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