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A team of researchers from Princeton and Oxford has uncovered a decades‑old handwritten note by Richard Feynman that formulates a mathematical solution to the classic “restaurant‑stopping” problem faced by travelers.Decoding Feynman's Hidden Stopping ProblemThe study, published in the Proceedings of the National Academy of Sciences, reconstructs Feynman's original equation, which advises diners to keep trying new venues until a quality threshold is met. That threshold is not static; it declines more rapidly as the remaining nights in a city decrease, reflecting the diminishing value of future visits to a discovered gem.Feynman's notes were handwritten in the 1970s after a lunch with friend Ralph Leighton.The model assumes a fixed range of restaurant quality and equal probability of encountering any quality level.When the distribution of restaurant quality is uneven, the optimal threshold shifts—higher when few gems exist, lower when most venues are above average.Experimental Findings from 2,520 ParticipantsTo test human behaviour, the authors recruited 2,520 volunteers for an online simulation where participants imagined staying in a city for varying lengths of time and chose restaurants from a grid.Participants’ thresholds fell linearly with the proportion of nights remaining, rather than the rapid decline predicted by Feynman's formula.Despite its simplicity, the linear rule performed comparably to the original solution in the simulated environment.Implications for Decision‑Making and Tourism BehaviourThe findings bridge theoretical optimal‑stopping theory with everyday intuition, suggesting that people naturally adopt a decreasing‑threshold strategy when faced with limited opportunities. This insight could inform:Tourism recommendation engines that adapt suggestions as a trip progresses.Behavioral economics models of consumer search in other domains (e.g., housing, job hunting).Design of AI assistants that balance exploration and exploitation in real‑time.Future Directions for Adaptive Choice ModelsThe authors propose extending the model to dynamic environments where restaurant quality distributions change over time, and to incorporate personal preference heterogeneity. Real‑world field trials in travel apps could validate whether a linear decreasing threshold improves user satisfaction and discovery rates.

A New Lease on Life for Stage Four PatientsThe landscape of terminal cancer treatment is witnessing a potential turning point following the success of a pioneering smart drug. Pat Brogan, a 68-year-old from Cowdenbeath, Scotland, who was diagnosed with stage four lung cancer in 2021, has seen his tumors shrink by almost a third after joining a clinical trial in 2025. The breakthrough offers a stark contrast to his initial prognosis, allowing him to anticipate major life milestones previously thought impossible.The Mechanism Behind GRWD5769The core of this clinical breakthrough lies in the smart drug GRWD5769. Traditional immunotherapies sometimes fail because cancer cells develop an invisibility cloak, effectively hiding from the body's immune defenses. GRWD5769 disrupts this camouflage. By disabling the cloaking mechanism, the drug clears the path for standard immunotherapy to locate, target, and eradicate the disease cells. This combination approach was recently highlighted at the world’s largest oncology conference in Chicago.Measurable Tumor Reduction and Patient OutcomesThe clinical data translates directly into profound quality-of-life improvements for patients like Brogan. Prior to the trial, Brogan had undergone three years of chemotherapy and immunotherapy before his tumors began growing again. The introduction of GRWD5769 yielded rapid, tangible results:Almost 33% reduction in overall tumor size.Restored ability to live a relatively normal life despite a stage four diagnosis.Capacity to resume daily activities, including daily walks and international travel.Brogan, who previously prepared to say his goodbyes, is now planning a trip to Spain and preparing to walk his daughter down the aisle in June.Shifting the Paradigm in Immunotherapy ResistanceBrogan's case represents a critical victory in the ongoing battle against treatment-resistant cancers. When standard immunotherapy fails, patients are often left with highly toxic, intensive chemotherapy alternatives with low success rates. The success of GRWD5769 demonstrates that overcoming cellular resistance—rather than just bombarding the body with harsh chemicals—can yield better survival rates and vastly superior patient quality of life. The work led by Prof Stefan Symeonides and his team in Edinburgh underscores the value of targeted clinical research contributing to global oncological advancements.The Future of Targeted Oncology TrialsAs the medical community digests the findings presented in Chicago, the focus will inevitably shift toward expanding the trial parameters for GRWD5769. If larger cohorts mimic Brogan's success, this mechanism of stripping away a tumor's invisibility could become a standard adjunct to immunotherapy across various cancer types. For patients who have exhausted conventional options, these smart drugs represent the next vital frontier in extending both life expectancy and quality of life.

Lead: Monroe’s Last‑Minute Image Rebellion Marilyn Monroe visited Lawrence Schiller after a nude pool shoot for the unfinished film Something’s Got to Give (1962), cutting up colour negatives she disliked. The episode, recounted by the now‑89‑year‑old photographer, underscores Monroe’s determination to shape her visual legacy. Behind the Pool Shoot: Creative Control in Action May 1962 – Monroe swims in a Hollywood set pool, defying director George Cukor to find better lighting. She jokes, “What if I come out with nothing on?” highlighting her willingness to push boundaries. After the session, she uses scissors to destroy negatives she found unsatisfactory, a gesture Schiller describes as “Ziiiiiip”. Schiller notes that none of the destroyed images were ones he would have published, suggesting Monroe’s edits aligned with professional standards while serving her own vision. Exhibition Data: The National Portrait Gallery Show Opening timed for Monroe’s 100th birthday (early June 2026). Curated by Rosie Broadley, the exhibition frames Monroe as an active director of her image. Features previously unseen pool photographs and commentary from photographers Richard Avedon, Milton Greene, Bert Stern, and Eve Arnold. Impact: Re‑evaluating Monroe’s Cultural Narrative The exhibition challenges the long‑standing myth of Monroe as merely a “messy” blonde bombshell. By foregrounding her “creative agency”, the show invites reassessment of how female stars negotiate studio control, media representation, and personal autonomy. Schiller’s testimony, alongside Arnold’s observations of Monroe’s “lost self”, illustrates a broader pattern: iconic women often reclaim agency through selective image‑making, influencing both contemporary celebrity culture and historical scholarship. Future Outlook: Monroe’s Legacy in the Age of Image Ownership As digital platforms amplify image control, Monroe’s 1962 act of negative‑snipping resonates with modern discussions about artists’ rights and the power of self‑curation. The National Portrait Gallery’s narrative may inspire further exhibitions and academic work that position Monroe alongside today’s media‑savvy figures who dictate how they are seen.

The Energetic Cost of Pollen Collection Bees use as much energy collecting pollen through “floral buzzing” as they do taking off in flight, a study shows. Scientists have found the vibrations bumblebees use to shake pollen loose from flowers are among the most exhausting behaviours they perform, forcing bees to “carefully choose” which flowers are worth visiting. The Study's Findings The study, released by the Royal Society, is the first to directly measure the energy cost of floral sonication, or “buzz pollination” – where bees vibrate flowers to extract pollen. Natacha Rossi, a University of Sussex research fellow who led the study, said: “As nectar availability shifts due to climate change or habitat loss, the energetic demands of pollination could influence bee behaviour and, ultimately, where bees forage and which plants they pollinate. The Data Analysis Using lasers and respirometry equipment to monitor three colonies of buff-tailed bumblebees, researchers discovered that a single “buzzing event” required about the same amount of energy as a flight take-off. Because buzzing can last longer, the total drain on energy can be even greater. The metabolic rate of a floral buzzing bee is more than 30 times higher than its resting metabolism, according to the study, making the process among its most energetically demanding behaviours. The Impact Analysis The researchers warned that declining nectar supplies caused by climate crisis and habitat destruction could intensify the strain on pollinators. Prof Mario Vallejo-Marin, at Uppsala University, said: “We long suspected that buzz pollination was an energetically expensive affair. We can now put a number to it and begin making quantitative predictions of how it could affect the ecology and evolution of bees and buzzpollinated flowers.” The Prediction The study points out that the energetic drain on the bee does not stop when the pollination stops. According to the paper, after the bee vibrates the pollen loose, it must engage in a “grooming and pollen-packing phase”. This grooming takes even more energy. The bee then has to force a high-power take-off to carry its new, heavier load away, making the whole process a demanding two-phase sequence.

The Lead Deep within the Natural History Museum, the skeleton of a 23ft plesiosaur serves as a chilling reminder of the terrifying power that once inhabited the prehistoric seas. This immense marine reptile, capable of snatching prey before its body could create a disturbance, is a centerpiece of the museum's latest immersive display. Unveiling the Jurassic Oceans Exhibition The exhibition 'Jurassic Oceans: Monsters of the Deep' brings to life the marine ecosystems that existed while dinosaurs roamed the land. Featuring fossils, casts, and 3D-printed sculptures, the display highlights creatures such as ammonites, colossal squid tentacles, and ancient crocodile-like reptiles that dominated the deep blue. Scientific Context & Metrics The exhibition provides a detailed look at the environmental conditions of the Jurassic era. Marc Jones, the science lead, explains that while the sun was slightly dimmer, the planet was much warmer due to high CO2 levels. This resulted in higher sea levels and the absence of permanent ice caps. Key metrics include: 23ft length of the plesiosaur on display. 2% reduction in solar power during the Jurassic era. 2,000 gigatons of CO2 added to the atmosphere in recent history. Evolutionary Adaptations & Ecosystem Shifts The display illustrates how ancient marine life evolved to survive in a stagnant, warm ocean. Ichthyosaurs, for instance, possessed the largest eyes of any vertebrate, indicating a highly developed sense of vision for hunting. The exhibition also notes a shift in predator hierarchies: sharks were once middle predators but were later hunted by marine reptiles. Furthermore, the concept of convergent evolution is demonstrated by the similarity between the body shapes of ichthyosaurs and modern bottlenose dolphins. Modern Parallels & Future Outlook The most striking insight from the exhibition is the link between prehistoric and modern oceans. Just as squid relatives thrived in the warm, stagnant waters of the Jurassic, modern squids are currently experiencing record numbers, particularly off England's south coast. This suggests that as modern oceans continue to warm, the dominance of marine ecosystems may shift once again, favoring cephalopods and other adaptable species.

Breakthrough Cancer Drug Reveals Hidden TumorsA smart drug that stops cancer cells "hiding" from treatment can shrink tumours by at least 30% in six of the world's most common forms of the disease, according to early trial results. While immunotherapy treatments have improved survival rates for many patients, their effectiveness can stall or fail when tumour cells hide and then spread.How the Smart Drug WorksResearchers in Oxford have developed a drug designed to stop cancer cells concealing themselves from the immune system, allowing immunotherapy treatments to identify and destroy them. In a trial spanning the UK, France, Spain and Australia, 83 patients with cervical, bladder, liver, bowel, lung or head and neck cancers were given the experimental drug, GRWD5769, alongside the immunotherapy treatment cemiplimab.The smart drug was able to remove "invisibility cloaks" from tumour cells, exposing them to the parts of the immune system that attack infections and diseases. This allowed the cemiplimab immunotherapy to pinpoint and destroy the cancer.Trial Results Across Cancer TypesResearchers, led by the Christie NHS foundation trust in Manchester, England, found that tumours shrank in 26 patients. Of those, 15 experienced tumour reductions of at least 30%. All participants had previously failed to respond to treatment, and most had no options left when they joined the study.GRWD5769 was shown to shrink tumours in all six cancer types included in the trial. The drug halted progression of the disease for at least six months in 18% of cervical cancer patients, 32% of liver cancer patients, 36% of bladder cancer patients, 38% of those with neck and head cancer, and more than half of bowel (51%) and lung (55%) cancer patients.Significance for Cancer TreatmentImmunotherapy enlists T-cells – immune system cells that attack infections and diseases – to hunt and destroy cancer. Although it has revolutionised cancer care, it fails in about two-thirds of patients. This is because immunotherapy struggles when tumours hide from the immune system.Tumours can evade the immune system by manipulating an enzyme called ERAP1 (endoplasmic reticulum aminopeptidase 1). By altering this enzyme, cancer cells can hide from a patient's T-cells. GRWD5769 solves this problem by inhibiting ERAP1, which removes cancer's invisibility cloak and makes tumour cells visible to T-cells that could not previously find them.Future Outlook for Cancer TreatmentThe findings were presented at the American Society of Clinical Oncology's annual meeting in Chicago, the world's largest cancer conference. Prof Fiona Thistlethwaite, the principal investigator, noted: "For a drug that is given as a tablet, this is very impressive. It's early days, and we need further studies, but this is a new drug with a new mechanism that clearly helps immunotherapy perform more effectively."The tablets, which were developed by Oxford-based Greywolf Therapeutics and were tolerated well by patients. The trial remains ongoing, with a larger study planned. Cancer Research UK's research information lead, Dr Samuel Godfrey, noted: "Immunotherapy has transformed treatment for some cancers but it doesn't yet work for everyone. This trial seems to show how this new drug could make immunotherapy more effective, including in some cases where immunotherapy had previously failed."

The Historic 150th Test at Lord'sLord's Cricket Ground in London is making history this week by hosting its 150th Test match, becoming the first ground in the world to reach this significant milestone. While other venues like Melbourne's MCG follow with 118 Tests, Lord's has maintained its privileged position through hosting two games annually this century. Despite being a late starter to Test cricket (its first match was in July 1884), long after venues like Melbourne, Sydney, The Oval, and Old Trafford, Lord's has cemented its status as cricket's most iconic venue.The Three Lord's of LondonInterestingly, there are actually three Lord's in London. The original ground is now buried under Dorset Square near Marylebone station, while another lies beneath the Lisson Grove moorings on the Regents canal. The current world-famous ground on Wellington Road was rented in the 19th century from the Eyre family, who made their fortune in wine and slavery. This historic patch of land has remained cricket's spiritual home for nearly two centuries.The Cultural Significance of Lord'sDespite its stuffy atmosphere, expensive tickets, and sometimes stifling rules, Lord's holds a special place in cricket lovers' hearts. The venue offers a unique thrill that connects spectators with centuries of cricket history. At Lord's, fans don't just share the game with fellow spectators but with the hundreds of thousands who watched great players before them. Honours boards display heroes' names, museum exhibits showcase their bats, library shelves hold their books, and plaques commemorate their feats.The Evolution of Lord's Cricket GroundLord's wasn't always the established institution it is today. In its early years, the ground held as many pony races and stone-picking contests as cricket matches. The MCC (Marylebone Cricket Club) has faced financial challenges throughout its history, requiring bailouts from wealthier members and even considering building houses on the outfield. The venue has also had to defend against urban encroachment, with red brick walls constructed to guard against the surrounding city and developers attempting to claim the tunnels beneath the ground.Lord's: More Than Just CricketWhile known as the 'Home of Cricket,' Lord's is actually the home of the MCC, a private club that has historically governed the sport. Like Augusta National in golf, it represents a private club running a publicly beloved event. After losing its governing role in 1993, the MCC has been searching for a new identity. Today, it runs charitable programs, hosts special matches, offers tours, and even fields its own professional team in the London Spirit.Five of the Most Memorable Tests at Lord'sEngland v Australia, 1896: England won by six wickets in WG Grace's last Test at Lord's. The crowd was so packed they spilled onto the field, and Australia was skittled for 53 in just 75 minutes on the first morning.England v Australia, 1930: Australia won by seven wickets in Don Bradman's first Test at Lord's. He scored 254, which he later described as 'the best innings of my life'.England v Australia, 1981: Ian Botham's iconic performance with both bat and ball helped England win after following on, one of cricket's greatest comebacks.England v West Indies, 1984: Michael Holding's devastating spell of 6-57 destroyed England, widely regarded as one of the greatest fast bowling performances.England v Australia, 2005: The first Test of the famous Ashes series that ended Australia's reign as world champions, with England's dramatic two-run victory.

Andy Burnham has urged “stronger public control” of water and energy, but he has offered no concrete definition. The article examines what the phrase could mean, the regulatory reforms already underway, and the financial stakes for utilities such as Thames Water and United Utilities. Burnham’s Vague Pitch for “Public Control” of Water and Energy The Labour mayor of Manchester points to “public control” as a remedy for high bills, yet he stops short of calling for outright nationalisation. He references the upcoming clean water bill and the 2024 nationalisation of the national energy system operator, but provides no detail on the mechanisms he would use. Financial Stakes: Debt Write‑offs, Dividend Cancellations and Market Reactions Thames Water’s creditors have been negotiating a rescue package that could write off several £ billions of debt in exchange for fresh financing and a ten‑year pollution‑fine leniency. United Utilities faces a proposed dividend cut of £266 million in August, a move Burnham says would lower customer bills. The stock market absorbed Burnham’s comments without major movement, but a government‑mandated dividend freeze could tighten capital‑raising conditions for water firms. Regulatory Shifts: Clean Water Bill, Ofwat Reform and Energy “Mission Control” The clean water bill, due in the autumn, proposes to abolish Ofwat and replace it with a super‑regulator that will absorb staff from the Environment Agency. In the energy sector, the Treasury already controls levies and the “Mission Control” unit oversees the 2030 clean‑power plan, leaving few levers beyond nationalisation. Political and Market Implications of Ambiguous Policy Talk Vague language risks confusing voters who equate “public control” with nationalisation, a position that polls well. For investors, uncertainty over regulatory direction could increase risk premiums, especially if the government intervenes in dividend policy or accelerates a special administration of Thames Water. What Could “More Public Control” Actually Look Like? Possible options include: (1) strengthening the new water super‑regulator’s powers, (2) imposing stricter dividend caps, or (3) moving toward temporary nationalisation via special administration. Without a clear roadmap, Burnham’s call remains a political signal rather than a concrete policy proposal.

Nissan announced a non‑binding agreement to explore contract manufacturing for Chery International UK at its Sunderland plant, a step that could secure employment at the country’s largest car factory.Nissan Signs Non‑Binding Agreement to Build Chery VehiclesThe Japanese automaker confirmed that discussions are ongoing to produce Chery‑branded models on production line 1 in Sunderland. The agreement is non‑binding, with final terms to be negotiated in the coming months.Projected Timeline and Production CapacityTarget start: 2027 financial year.Location: Sunderland plant, line 1.Workforce: Approximately 6,000 employees at the site.Current output: Qashqai, Juke, and Leaf models.The plant recently consolidated to a single line, freeing capacity for a new Chinese entrant without cutting jobs.Strategic Implications for the UK Automotive SectorPartnering with Chery, which has quickly risen in the UK market with models like the Jaecoo 7 PHEV, could bolster Sunderland’s utilisation rates and offset the broader decline in European car sales. The deal also aligns with Chery’s ambition to become a top‑three manufacturer in Britain and its recent investment in a UK R&D; hub in Liverpool.Future Outlook: Potential Shifts in UK Car ManufacturingIf the partnership proceeds, Nissan may expand its hybrid or electric portfolio at Sunderland, though details remain undisclosed. The arrangement could set a precedent for further Chinese‑European collaborations, while the British government continues to explore similar partnerships, such as the speculative involvement of Jaguar Land Rover.