Author: Staff Writer

When OpenAI cracked one of math’s six unsolved “million-dollar” problems, the academic world was stunned. The 90-year-old question, part of the Clay Mathematics Institute’s famous Millennium Prize Problems, asks whether the equations that govern fluid motion can break down in extreme situations. OpenAI says its AI resolved it in a matter of days. But mathematician Tristan Buckmaster says OpenAI copied off of his work, according to Scientific American. In a statement, Buckmaster said he and fellow mathematician Levent Alpöge, who works at Anthropic, had already made major progress on the problem. But before they could publish, he says word of…

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Britain has become a textbook example of what happens when politicians believe capital is imprisoned by geography. Billionaire hedge fund manager Chris Rokos is leaving the UK and moving his tax residency to Greece. This is a man who reportedly paid about £330 million in British taxes last year, ranking him among the country’s largest individual taxpayers. He also pledged £190 million to Cambridge University. Britain should be asking how to keep people like this. Instead, government keeps looking at successful people as if they are nothing more than an ATM that cannot walk away. Greece understands something London has…

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Key Takeaways Bill Lewis, 58, lost his $180,000 retirement savings after investing it in a Nestlé Toll House franchise that he operated for four years. The franchise’s sales growth could not overcome the high costs of operating in a mall location. Lewis now drives for Uber and Lyft in the Poconos and works roughly 75 hours a week. Bill Lewis didn’t expect to be driving Uber and Lyft seven days a week. However, when the 58-year-old former Wall Street broker lost his entire $180,000 retirement fund after investing it in a franchise, he had no choice. He now drives up…

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QUESTION: I know you have said you disagree with the whole tariff war. I believe you also said when you were here in Calgary, there was no way even Alberta could or should become the 51st state. Would you comment on this latest post of Trump draping the American flag over all of North America? EP ANSWER: This whole 51st state nonsense is just unrealistic. If Alberta became the 51st State, it would disrupt politics for then they would get two senators and untold congressmen. The Democrats would demand Puerto Rico and Guam be allowed to become states along with…

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Opinions expressed by Entrepreneur contributors are their own. Key Takeaways Treat a stray order as market intelligence, not as a fluke to fulfill and move past. Listen when your product is used differently than intended. Diagnose the actual problem before guessing at solutions. Reaching customers and growing sales is the top operational challenge facing small businesses right now, according to the Federal Reserve’s 2026 Report on Employer Firms, based on a survey of more than 6,500 small employer firms across the country. Most owners read that as a marketing problem. I read it as a signal problem.For years, I sold…

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Key Takeaways On Wednesday, Apple introduced its first foldable phone, the iPhone Duo, which is priced at $1,999. The company’s new CEO, former head of hardware engineering John Ternus, took over earlier this month and led the event. Apple also announced the new iPhone 18 Pro and Pro Max, revamped AirPods and upgraded Apple Watches. Apple’s “Surprise and Shine” event on Wednesday was packed with new products, from the foldable iPhone Duo to an Apple Watch equipped with upgraded heart rate sensors. Apple also released the newest generation of iPhones, Apple Watches and AirPods. The event, Apple’s biggest launch of…

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Golfing great Shane Lowry has won a Claret Jug, competed in Ryder Cups, and this year drained a hole-in-one at the Masters in front of a roaring crowd. But ask him about his proudest role, and he brings up his father Brendan, a former Gaelic football player, who needed both a hip and knee replacement. Shane took on the role and responsibilities of caregiver, and that experience is at the heart of his new partnership with Stryker, a global medical technology leader.  The company’s mission, says Joint Replacement division president Katherine Truppi, is simple: “Together with our customers, we are…

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Key Takeaways Yuhas’ pet-sitting business grew quickly thanks to word-of-mouth endorsements. She began hiring people she trusted to help her expand The Funny Sitter. Now, she averages $5,000 a month, with a significant spike during the holiday season.  This as-told-to story is based on a conversation with Stephanie Yuhas, an award-winning film and television writer and producer and founder of pet-sitting service The Funny Sitter. Income from her pet-sitting side hustle currently averages approximately $5,000 per month but can reach about $15,000 during the holiday season. The piece has been edited for length and clarity. Image Credit: Courtesy of The…

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Opinions expressed by Entrepreneur contributors are their own. Key Takeaways A website redesign creates an opportunity to align the company around a clearer story. Defining how offerings, audiences and messages fit together gives every team a stronger foundation. Recurring discussions can reveal where greater clarity will have the most impact. A simple decision register helps teams establish ownership, use the right evidence and move forward confidently. Making key choices before the sitemap improves collaboration and reduces revisions later. The strongest websites translate organizational alignment into a system customers can easily understand. Consider a company that has expanded from one service…

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ASIA: The major Asian stock markets had a mixed day today: • NIKKEI 225 decreased 126.55 points or -0.19% to 65,142.78 • Shanghai increased 10.956 points or 0.28% to 3,951.507 • Hang Seng decreased 42.22 points or -0.17% to 25,274.96 • ASX 200 decreased 9.40 points or -0.11% to 8,911.40 • SENSEX decreased 813.35 points or -1.08% to 74,764.23 • Nifty50 decreased 203.60 points or -0.86% to 23,431.50 The major Asian currency markets had a mixed day today: • AUDUSD decreased 0.00006 or -0.01% to 0.72162 • NZDUSD decreased 0.00165 or -0.28% to 0.58374 • USDJPY decreased 0.344 or -0.22%…

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