Let = argm 2 CF ( )denote (2). T ( )+ log ( 1/ )+( 1) log ( 1/ ) log ( ) 1 , (5) where ( )isthe RDPof 2. Convergence:IfwerunAcldpwith t = DGpt, whereG2 = max{d1 Substitutingtheboundon4 into Lemma 2 together manipulationgivesproves Theorem 1; see Appendix E.2 fordetails.

US assembles the most aerial firepower since Iraq War as Trump prepares to strike Iran'in just DAYS'... and president is'choosing between two devastating options of attack' Model agency boss who'scouted' victims for Epstein was secretly planning to testify against him... only to suddenly change his mind before meeting chillingly similar fate to notorious pedophile The monarchy has survived wars and countless crises... but this is why it may not survive Andrew's arrest - and why the rift at the heart of the family is about to get so much worse: ROBERT JOBSON But countless women (and some husbands) are secretly getting it for thrilling sex side effects... risking a truly putrid complication FBI'has names and photos of people who may be masked suspect caught on surveillance video outside Nancy Guthrie's home' Widower whose wife set herself on fire after alleged affair with married congressman finally breaks silence to reveal their texts... and heartbreaking video of her death The side-effects were unbearable and I swore off the drug forever. This is the simple diet that helped me shed the pounds... and I'm not alone. Lindsey Vonn shares nervous post as she awaits fifth surgery on broken leg after Olympic fall and dog's death Jason Bateman says he quit cocaine and alcohol to ease'tension' in his marriage Humiliating real reason Mia Goth left Shia LaBeouf: What'friends and lovers' are all saying behind his back... after Mardi Gras brawl Turmoil ramps up at Today Show as Hoda ditches her'family first' exit to reclaim her coveted anchor seat.... whether Savannah returns or not Whereabouts of Andrew's ex-wife and daughters remain unknown as former prince is arrested over public misconduct claims Peter Greene's cause of death revealed two months after Pulp Fiction star was found dead at 60 in NYC apartment Tucker Carlson'DETAINED' in Israel: Journalist'dragged into interrogation room' as explosive interview sparks diplomatic firestorm My teenage son picked up a dirty habit to'look cool' in front of his friends. He was rushed to hospital with deadly lung condition now I'm issuing an urgent plea What happens now Andrew Mountbatten-Windsor has been arrested? Germany's army chief warns Europe will suffer'things we cannot even imagine right now' as Putin looks to go to war with Europe - and slams'egomaniac' Trump Scientists confirm wet weather slashes life satisfaction by 6% - as soggy Brits vent they're'flipping sick of it' READ MORE: You think this is bad?

PCWorld examines OpenClaw, an AI agent developed by Peter Steinberger that recently gained OpenAI backing through an acquisition. This autonomous tool can read, edit, delete files and build programs with system-level access, demonstrating powerful agentic AI capabilities. Despite its potential for unprecedented automation, OpenClaw poses significant security risks including data deletion and prompt injection vulnerabilities, making immediate installation inadvisable for newcomers. A month ago, practically no one had heard about Peter Steinberger's personal AI side project. Now it's taken the AI world by storm, and it just got the backing of none other than OpenAI itself. First known as Clawdbot and later as Moltbot, the now re-rebranded OpenClaw served as an "I know Kung Fu" moment for its earliest users, who were jolted by the capabilities and potential of the AI-powered tool. Put another way, OpenClaw took what had previously been an abstract concept--"agentic AI"--and made it real. It's exciting and even vertiginous stuff, and if this story marks the first time you've heard of OpenClaw, you absolutely, positively shouldn't install it.

Lifting weights can keep you carrying groceries and riding bikes even as you get older. To join or not to join a gym: That is the question. If you opt out of building a home gym, you can join a club and have access to more weights and machines. Friends and classes motivate you to keep coming, and that monthly bill keeps you disciplined. On the other hand, gym memberships are steep, workouts can get hijacked by bullies, and going to the gym is an additional commute.

Further, we introduce two complementary losses which explicitly regularize the semantic structure of thefeature space.

Fast, stealthy, and cheap--autonomous, semisubmersible drone boats carrying tons of cocaine could be international law enforcement's nightmare scenario. A big one just came ashore. Colombian military officials intercepted this 40-foot-long uncrewed fiberglass "narco sub" in the ocean just off Tayrona National Park. On a bright morning last April, a surveillance plane operated by the Colombian military spotted a 40-foot-long shark-like silhouette idling in the ocean just off Tayrona National Park. It was, unmistakably, a "narco sub," a stealthy fiberglass vessel that sails with its hull almost entirely underwater, used by drug cartels to move cocaine north. The plane's crew radioed it in, and eventually nearby coast guard boats got the order, routine but urgent: Intercept. In Cartagena, about 150 miles from the action, Captain Jaime González Zamudio, commander of the regional coast guard group, sat down at his desk to watch what happened next.

Things to Do in L.A. Tap to enable a layout that focuses on the article. Bernie Sanders kicks off billionaires tax campaign with choice words for the'oligarchs' Sen. Bernie Sanders speaks Wednesday night at the Wiltern at the formal kickoff of the campaign for the California billionaires tax. This is read by an automated voice. Please report any issues or inconsistencies here . Populist Sen. Bernie Sanders on Wednesday formally kicked off the campaign to place a billionaires tax on the November ballot, framing the proposal as something larger than a debate about economic and tax policy as he appeared at a storied Los Angeles venue.

Gay men have long been rumored to run Silicon Valley. No one can say exactly when, or if, gay men started running Silicon Valley. They seem to have dominated its upper ranks at least the past five years, maybe more. On platforms like X, the clues are there: whispers of private-island retreats, tech executives going "gay for clout," and the suggestion that a "seed round" is not, strictly speaking, a financial term. It is an idea so taken for granted, in fact, that when I call up a well-connected hedge fund manager to ask his thoughts about what is sometimes referred to in industry circles as the "gay tech mafia," he audibly yawns. "This has always been the case." It had been the case, the hedge funder says, back in 2012, when he was raising money from a venture capitalist whose office was staffed with dozens of "attractive, strong young men," all of whom were "under 30" and looked as though they had freshly decamped from "the high school debate club." "They were all sleeping with each other and starting companies," he says. And it is absolutely the case now, he adds, when gay men are running influential companies in Silicon Valley and maintain entire social calendars with scarcely a straight man, much less a woman, in sight. "Of course the gay tech mafia exists," he continues. "This is not some Illuminati conspiracy theory. And you do not have to be gay to join. They like straight guys who sleep with them even more." Ever since I started covering Silicon Valley in 2017, I've heard variations of this rumor--that "gays," as an AI founder named Emmett Chen-Ran has quipped, "run this joint." On its face, a gay tech mafia seemed too dumb to warrant actual investigative inquiry.