Far-right AfD wins in Mecklenburg-Western Pomerania and leftwing Die Linke on course for victory in BerlinGermany’s embattled chancellor, Friedrich Merz, has vowed to stay in office and fight for future-proofing economic reforms despite heavy losses for his conservatives in two state elections, one to the far right…

Diego Simeone said it had been a special week in Madrid, a “tremendous energy about the city”, and it closed the way he wanted. He had enjoyed the Formula One, he said, and he had enjoyed going to see Shakira. He enjoyed this even more, at least he did by the time the last of many, many blows on the referee’s…

Swiss rider denies British challenger in MontrealFranziska Koch finishes third, Demi Vollering eighthMarlen Reusser retained her world time-trial title in Montreal on Sunday as her expected main challenger, Demi Vollering, finished a disappointing eighth.Time-trial queen Reusser secured an ultimately comfortable…

To paraphrase a former Manchester United manager, Michael Carrick knew that the storm would come. Everything went a little too perfectly for him in the second half of last season. There would be ill winds at some point. Which was what Carrick could feel before this visit to Fulham. What were his emotions after…

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OpenAI claims its agents have solved the Navier-Stokes problem. But questions remain about how useful and independent its work really isOn 8 September, OpenAI claimed that its AI agents had solved the Navier-Stokes problem, one of the most famous and difficult challenges in mathematics. Had a human solved it, they…

Row at resort on Athenian riviera escalated into violence after two elderly bathers reportedly argued over shortage of loungersGreek police are investigating the death of an 82-year-old man after a brawl over a sunlounger at a beach on the Athenian riviera.The man had arrived at the popular bathing spot of Vouliagmeni…

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Exclusive: Intelligence officers warn campaign against Nato could intensify ‘in months, not years’ – but panic will play into Kremlin psy-opsEuropean intelligence officials have raised the possibility of an imminent Russian test of Nato, with one saying a potential attack could come in a matter of “months not…

Union score four goals in nine minutes v Sporting KCCaden Clark helps Sounders to late drawSam Surridge scored in the first half and Brian Schwake finished off his league-leading 12th clean sheet of the season as Nashville SC clinched a playoff spot and remained unbeaten at home with a 3-0 victory over the Chicago…