Breaking AI & Tech News Analyzed

Tanya Khovanova has long been a leading voice in the world of recreational mathematics, authoring a popular blog and running the Number Gossip site where enthusiasts can inquire about any number.She now debuts her first book, Mathematical Puzzles and Curiosities, co‑written with fellow puzzle‑enthusiasts Ivo David and Yogev Shpilman. Published by World Scientific, the volume offers fresh challenges and inventive twists on classic problems.To give readers a taste, Khovanova selected three puzzles for the Guardian column:1. Battleships – As a naval admiral you must choose between sending a single vessel with a success probability of P % or two vessels each with a P/2 % chance, where the mission succeeds if at least one ship does. Which strategy maximises the odds?2. The Two Oracles – You face two respondents, Randie, who answers randomly, and Rando, who randomly decides to tell the truth or lie before each answer. Is there a method to distinguish them?3. Bad Maths – A student computes 5548 − 5489 as 59, claiming the “548” cancels out. He then experiments with a subtraction of the form XXYZ − XYZW (distinct digits) and observes the result is XW. How many digits in the new expression match those in the original calculation?Solutions to the trio were later posted online (update), but readers were urged to avoid spoilers until the scheduled reveal.Khovanova also reminds fans that she has been curating puzzles for the Guardian every other Monday since 2015 and welcomes new submissions via email.

Israeli forces have fired teargas at Palestinian schoolchildren who were staging a sit-in in the occupied West Bank after settlers blocked access to their school. The incident occurred in the village of Umm al-Khair, in the southern West Bank region of Masafer Yatta.The schoolchildren, who had been due back in class on Monday for the first time in more than 40 days, had gathered near a barbed wire fence erected by Israeli settlers. The fence blocked access to the school, prompting the children and some local adults to hold an open-air class as a sit-in to demand access. Israeli troops responded by firing teargas at the protesters.Witnesses described the scene as chaotic, with children screaming and fleeing after the teargas canisters were fired. A 12-year-old girl, Sarah al-Hathaleen, recounted her experience: “We were sitting and they threw a grenade [teargas canister] at us. I got scared and started screaming and ran away.”The Israeli military stated that they had dispersed an “unusual gathering” but did not specify whether they had fired teargas. The incident highlights the ongoing tensions in the West Bank, particularly in the Masafer Yatta region, which is a known hotspot for settler violence and Palestinian home demolitions.The Masafer Yatta region has seen increased violence since the outbreak of the Iran war. More than 500,000 Israelis now live in settlements in the West Bank, which are illegal under international law, among about 3 million Palestinians. Israel has occupied the West Bank since 1967.

A comprehensive study from Denmark has concluded that taking acetaminophen, commonly known as Tylenol, during pregnancy has no effect on later autism diagnoses in children. The research, which utilized Denmark's robust national healthcare system to track more than 1.5 million children born between 1997 and 2022, including 31,098 children who were exposed to Tylenol in utero, found no significant link between Tylenol use and autism. The study's findings contradict claims made by the Trump administration, which had suggested that Tylenol use during pregnancy was a major cause of autism in children. This led to a notable 16% drop in Tylenol orders for pregnant women in emergency rooms following the announcement. However, the new study provides reassurance that Tylenol is safe to use during pregnancy for pain relief and fever reduction. According to the study, autism was diagnosed in 1.8% of children who were exposed to Tylenol and 3% of those who weren’t. A similar 2024 study in Sweden found a marginal link that disappeared after considering siblings, suggesting that autism is strongly genetic. Health officials had previously announced a label change for acetaminophen, warning of a potential link to autism, which has now been called into question. Experts, such as Jeremy Faust, an emergency physician at Mass General Brigham and a health services researcher at Harvard Medical School, have noted that the words of health officials can significantly affect behavior, as evidenced by the drop in Tylenol orders. However, Faust also emphasized that Tylenol remains one of the safest options for pain control and fever reduction during pregnancy.

Mid Wales Opera's OpenStages productions are undertaken with a missionary zeal, nurturing both local communities and up-and-coming singing talent. Their recent staging of Purcell's Dido and Aeneas, realized remarkably over a single intensive week of work, is a testament to this commitment.The opera, tailored by Purcell for the ladies of Josias Priest's boarding school in Chelsea in 1689, features a motley crew of amateurs forming a chorus portraying Carthaginian courtiers, followers of a witches' coven, and sailors. The young cast, some already launched on singing careers, delivered polished performances under the care of conductor Jonathan Lyness, particularly in their recitatives.Director Richard Studer's simple yet effective set design, featuring a central high pavilion on a raised dais against a cathedral backdrop, elegantly framed the action. The chorus, dressed in black with pale golden patches on their cheekbones, contrasted with the titular pair, Queen Dido and Aeneas, in standout white with elaborate golden facial adornments.Kathy Macaulay's portrayal of Dido conveyed vulnerability from the outset, while Alaw Grug Evans' expressive performance as Belinda added depth to the narrative. The production's inexorable progress towards Dido's final aria, When I am lain in earth, brought the tragedy full circle, underscored by the MWO string ensemble's lamenting mood.

The highly anticipated third and final season of Euphoria premieres on Monday at 9pm on Sky Atlantic. The series, created by Sam Levinson, follows the lives of a group of high school students as they navigate love, friendship, and identity.The new season stars Zendaya, Jacob Elordi, and Sydney Sweeney, who have all become major Hollywood stars since the show's debut. The story picks up five years after high school, with the characters now in their early 20s. Previews are scarce, but it's known that Cassie and Nate are married, Jules is in art school and is a 'sugar baby', and Rue is involved in some shady business in Mexico.Other TV shows airing tonight include Miriam Margolyes Made Me Me on BBC Two, Great Japanese Railway Journeys on BBC Two, Missed Call on Channel 5, Charmain and the Prophet on BBC Two, and DTF St Louis on Sky Atlantic.

Polls have closed in Benin, with Finance Minister Romuald Wadagni expected to emerge victorious in the presidential election. Wadagni received the endorsement of former President Patrice Talon, who is stepping down after two five-year terms.Nearly eight million voters were eligible to cast ballots on Sunday to choose a successor to Talon. Wadagni, 49, faces a crucial factor in voter turnout after a lackluster campaign affected by voter apathy.In Benin’s largest city, Cotonou, vote counting began late on Sunday afternoon, with provisional results expected on Tuesday. Wadagni is being challenged by Paul Hounkpe, an opposition figure whose campaign has needed help from majority lawmakers to gain parliamentary endorsements.Under Talon, Benin has experienced rapid growth, with gross domestic product (GDP) doubling during his decade in power and numerous infrastructure projects completed. However, a wealth gap remains, and the winner of the vote will also face challenges with insecurity, particularly in the north of the country.The north of Benin has increasingly experienced violence from armed fighters from the Jama’at Nusrat al-Islam wal-Muslimin (JNIM), an al-Qaeda affiliate that has spilled over from the Sahel region.

International activists are preparing to set sail from northeastern Spain to the Gaza Strip in a massive 70-boat flotilla, aiming to break Israel's devastating naval blockade and deliver much-needed humanitarian aid.The initiative, dubbed the 'Global Resilience Flotilla,' boasts a significant increase in participation, with about 1,000 volunteers from 70 countries taking part in the effort. The vessels, departing from the port of Barcelona, are loaded with food, medicine, school bags, and stationery for Palestinian children.Organisers say the mission is being carried out in coordination with Palestinian civil society organisations, maritime security experts, and prominent international NGOs, including Greenpeace and Open Arms—a charity known for its Mediterranean rescue operations. The flotilla has also received increased backing from the Barcelona municipality.Pablo Castilla, a spokesperson for the flotilla, told reporters in Barcelona that the primary goal is to 'condemn international complicity in the genocide committed by Israel in Gaza, demand accountability, and open a humanitarian corridor by sea and land'.Castilla noted a declining international focus on Gaza due to the ongoing United States-Israel war on Iran and Israeli attacks on Lebanon. He warned that Israel is exploiting this geopolitical shift to tighten its siege, restrict aid, expand settlements, and accelerate the occupation of Palestinian territory.The Gaza Strip, under an Israeli blockade since 2007, has faced an unprecedented humanitarian and health crisis since Israel's genocidal war against Palestinians in Gaza, which began in October 2023 and has killed more than 72,000 Palestinians.The prolonged assault has also devastated infrastructure, including hospitals, and left approximately 1.5 million of the enclave's 2.4 million residents displaced and homeless, amid severe restrictions on fuel and medical supplies.Since 2010, all flotillas attempting to break the Gaza blockade have been intercepted or attacked by Israel in international waters.

Intense rainfall has caused severe flooding in multiple provinces of Saudi Arabia, leading officials to temporarily close schools to ensure student safety. Video footage circulating online captures inundated streets, submerged vehicles, and classrooms rendered unusable by rising waters.Education authorities cited the need to protect children from hazardous conditions, noting that the closures affect thousands of students and may disrupt the academic calendar. The Ministry of Education is coordinating with local municipalities to assess damage and plan for a swift reopening once floodwaters recede.While the immediate priority remains public safety, the event underscores the growing vulnerability of infrastructure to extreme weather events in the region, prompting calls for improved flood‑risk management and resilient school facilities.

FIFA has officially declined the Iranian Football Federation’s (FFIRI) appeal to relocate its 2026 World Cup games from the United States to Mexico, stating that the logistical complexities of moving the matches are prohibitive, Mexican President Claudia Sheinbaum confirmed. The request, lodged last month, was met with a firm response from the sport’s governing body: all scheduled fixtures will proceed in the United States as originally drawn, eliminating any prospect of Mexican venues hosting Iran’s team. Sheinbaum reiterated the stance at a press conference in Mexico City, emphasizing that “FIFA ultimately decided that the matches cannot be moved from their original venues,” and that attempting relocation would create untenable logistical hurdles. FIFA declined to comment to Al Jazeera regarding the confirmation of Iran’s host venues. The backdrop to this dispute is the ongoing US‑Israel war against Iran, which erupted on 28 February, killing Supreme Leader Ali Khamenei and 168 people in a girls’ school on the first day of hostilities. Tehran retaliated with missile and drone strikes on Israeli and U.S. military installations across the Middle East. A Pakistan‑mediated ceasefire halted the exchanges on Wednesday, though Israel continues operations in parts of Lebanon. Iran was among the earliest qualifiers from the Asian confederation and is placed in Group G alongside Belgium, Egypt and New Zealand. The team’s three group matches are slated for the U.S. West Coast: Los Angeles on 15 June and 21 June, and Seattle on 26 June. While Mexico, a co‑host of the tournament with the United States and Canada, initially expressed willingness to accommodate Iran’s fixtures, President Sheinbaum’s recent remarks align with FIFA President Gianni Infantino’s position. Infantino, who met Iranian players, coaches and officials in Turkey on 31 March, affirmed that “the matches will be played where they are supposed to be, according to the draw.” Infantino also dismissed speculation that Iran might boycott the tournament altogether after FFIRI President Mehdi Taj warned of a potential boycott if security could not be guaranteed in the United States. Earlier, former U.S. President Donald Trump posted on social media that Iran’s participation would be unsafe, prompting Taj to state that Iran would refuse to travel to America under those conditions. Iranian Sports Minister Ahmad Donyamali later warned that Iran’s World Cup involvement remains uncertain unless FIFA relocates the games, underscoring the political sensitivity surrounding the event. In summary, despite regional conflict, diplomatic tensions, and security concerns voiced by Iranian officials, FIFA’s decision ensures that Iran will compete in the United States as originally scheduled, preserving the tournament’s logistical integrity.