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Tech May 21, 2026

OpenAI Disproves Erdős’s 80‑Year‑Old Planar Unit Distance Limit

OpenAI announced that its general‑purpose reasoning model has refuted the long‑standing limit propo…
OpenAI has reported a major advance in AI reasoning after its model successfully challenged an 80‑year‑old conjecture in discrete geometry, the planar unit distance problem first posed by Paul Erdős in 1946.OpenAI’s Model Cracks the 80‑Year‑Old Planar Unit Distance ConjectureThe conjecture suggested that the number of equal‑distance dot pairs on a plane grows only slightly faster than the number of dots.OpenAI's reasoning system generated a family of point arrangements that exceed Erdős’s proposed limit.The result was announced on X and confirmed in a companion paper co‑authored by mathematician Thomas Bloom.Quantifying the Breakthrough: No Monetary Figures, but Scientific SignificanceWhile the article provides no financial data, the achievement is described as a “milestone in AI mathematics” by Tim Gowers.The validation by experts underscores the credibility of AI‑generated proofs, contrasting with a prior, unverified claim from last year.Implications for AI‑Driven Mathematical ResearchThe model’s ability to explore unconventional solution paths highlights AI’s potential to augment human intuition.Researchers, including Andrew Rogoyski, note that AI is becoming a fundamental tool for future scientific inquiry.The breakthrough may accelerate AI involvement in other open problems across mathematics.What the Next Steps Could Mean for AI and MathematicsFurther collaboration between AI systems and mathematicians is expected to refine the new constructions and explore their consequences.OpenAI’s upcoming IPO could bring additional resources to expand its reasoning capabilities.The community anticipates more AI‑driven insights that could eventually resolve the broader Erdős problems.
#OpenAI #Paul Erdős #planar unit distance problem
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World Wide May 21, 2026

Putin and Lukashenko Directly Oversee Joint Nuclear Exercises Amid Rising Tensions

Russian President Vladimir Putin and Belarusian President Alexander Lukashenko have directly partic…
The Lead: First Presidential-Level Nuclear Monitoring Russian President Vladimir Putin and Belarusian President Alexander Lukashenko have taken part via video conference in a joint nuclear forces exercise, marking the first time the two leaders have directly participated in such a training event. While senior military officials from both countries have conducted similar exercises quarterly, this direct presidential involvement signals heightened attention to the nuclear capabilities of the Russia-Belarus alliance. The Strategic Exercise: Expanding Nuclear Capabilities Opening the meeting held via videolink and broadcast live on the Kremlin's website, Putin stressed that the use of nuclear weapons remains "an extreme and exceptional measure for ensuring the national security" of the two countries. "Today, as part of the exercises, we are conducting the first joint training of the armies of Russia and Belarus on managing strategic and tactical nuclear forces," he said. At the same time, the Russian leader said the Russian-Belarusian nuclear triad – which are nuclear weapons capable of being deployed by land, sea and air – must continue to serve as "a reliable guarantor of the sovereignty of the Union State of Russia and Belarus" amid rising global tensions and emerging threats. According to Putin, the drills are aimed at practising coordination and interaction between military officials in the event of nuclear weapons use, including weapons deployed on the territory of Belarus. The Military Capabilities: Advanced Weapon Systems Demonstrated Russia's Ministry of Defence said in a statement that its forces launched a Yars ballistic missile and a Zircon hypersonic missile as part of missile tests during the nuclear drills. According to the ministry, the crew of a nuclear-powered submarine launched a Sineva intercontinental ballistic missile from a submerged position as part of the drills. The Russian military also conducted a launch of a Yars intercontinental ballistic missile from the Plesetsk Cosmodrome towards a testing range in Russia's Kamchatka region. In Belarus, a combat crew of the Belarusian armed forces carried out a practical launch of a ballistic missile from an Iskander-M missile system at the Kapustin Yar testing range, the ministry said. The exercises also involved Tu-95MS strategic bombers, which launched hypersonic air-launched cruise missiles, while a MiG-31 aircraft carried out a launch of a Kinzhal hypersonic missile, according to the statement. The Regional Impact: Heightened Security Measures The joint drills held from Tuesday to Thursday were met with concern from Ukraine and its NATO allies. Kyiv has repeatedly accused Moscow of planning to launch a new attack from Belarus, either on its territory or one of its NATO allies, such as neighbouring Baltic states. Ukraine's Security Service (SBU) said on Thursday that its units and the army were "carrying out a comprehensive set of enhanced security measures in the northern regions of our country" bordering Belarus. The measures – including stepped up checks of individuals and properties – "will serve as an effective deterrent to any aggressive actions or operations by the enemy and its ally", the SBU said in a statement. Separately on Thursday, a Ukrainian drone attack on a town in Russia's Bryansk border region killed three rail workers when it hit a locomotive at a station, Russia's state RZhD rail network said. Russian border towns and villages regularly come under Ukrainian fire as Moscow's offensive against Ukraine has dragged on into a fifth year. The International Response: NATO Convenes Amid Tensions NATO foreign ministers were scheduled to meet in Helsingborg, Sweden, on Thursday and Friday to discuss how to ensure that support for Ukraine remains substantial and sustainable for the long term. The meeting comes as Russia's military actions in Ukraine continue and as concerns grow about the expansion of military exercises involving nuclear capabilities. Earlier this week, Ukraine launched what Russian officials described as one of the largest drone barrages of the war towards Moscow, killing at least five people. These reciprocal military actions demonstrate the escalating tensions in the region and the increasing risk of broader conflict.
#Russia #Belarus #Nuclear Weapons
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Entertainment May 21, 2026

Quartet in Autumn Review: A Booker-Winning Vision of Late-Life Office Life

Samantha Harvey, the author of the 2024 Booker Prize winner Orbital, brings her literary depth to t…
Harvey’s Vision for Pym’s Classic Samantha Harvey’s adaptation of Barbara Pym’s novel arrives at the Arcola Theatre with the weight of literary prestige. Harvey, who won the Booker Prize in 2024 for Orbital, takes on the challenge of translating the book's rich interiority into a stage performance. The production focuses on four central characters—Edwin, Letty, Marcia, and Norman—who form a complex web of relationships as they approach retirement. The Cast and Directorial Choices Anthony Calf plays Edwin, a pragmatic widower finding solace in church life. Kate Duchêne portrays Letty, who fears solitude as her best friend enters a romance. Pooky Quesnel brings a neurotic intensity to Marcia, who becomes obsessed with a doctor. Paul Rider is Norman, a blunderer whose deadpan humor rivals The Office. Director Dominic Dromgoole emphasizes the characters' quirks, using Ellie Wintour’s chunky knits and oversized specs to ground the piece in the 1970s, while the set design of facing desks creates a claustrophobic yet intimate office environment. Enduring Relevance of Pym’s Themes One of the most striking aspects of this production is its uncanny ability to feel contemporary. Despite being written in the 1970s, the characters' anxieties regarding rising heating costs and the threat of computerized technology are strikingly familiar to modern audiences. The play captures the "infinite possibilities" of life after work, offering a poignant look at how we define ourselves outside of our professional identities. Outlook for Literary Adaptations The success of Quartet in Autumn suggests a growing appetite for stage adaptations that prioritize character study over spectacle. By stripping away peripheral characters to focus on the quartet's internal monologues, the production validates the idea that literary fiction can thrive on stage when given the right directorial care.
#Barbara Pym #Samantha Harvey #Arcola Theatre
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Tech May 21, 2026

Nvidia Posts Record $58.3B Profit Amid AI Chip Boom

Nvidia has announced record quarterly profit of $58.3 billion and revenue of $81.6 billion, driven …
The Record-Breaking Quarter Nvidia has announced record quarterly profit and revenue amid explosive demand for its advanced AI chips. The US tech behemoth said on Wednesday that profit soared to $58.3bn for the February-April period, up 37 percent from the previous quarter and more than 200 percent year-on-year. Revenue jumped to $81.6bn, up 20 percent from the prior quarter and 85 percent compared with the same period in 2025. Nvidia forecast revenue for the current quarter to hit $91bn, more than most analysts' estimates. The AI Chip Surge Nvidia's data-centre business was the main driver of growth, with quarterly revenue surging 92 percent year-on-year to $75.2bn. The Santa Clara, California-based chip giant's hardware unit racked up revenue of $6.4bn, up 29 percent from the previous year. In a sweetener for shareholders, the world's most valuable company said it would buy back an additional $80bn in shares and raise its quarterly cash dividend from $0.01 a share to $0.25 per share. Nvidia CEO Jensen Huang hailed the "extraordinary" results as proof of the growing utility of AI. "Demand has gone parabolic," Huang said in a conference call with investors and analysts. "The reason is simple. Agentic AI has arrived," Huang said, referring to the advent of semi-autonomous AI models. "AI can now do productive and valuable work." Market Expectations vs Reality Despite once again blasting past analysts' expectations, Nvidia's latest results received a muted market response. Shares in Nvidia fell nearly 1.3 percent in after-hours trading, an indication of the sky-high expectations attached to a company whose blistering growth since 2022 has lifted its market capitalisation to more than $5 trillion. "Expectations are very high, and when a company like Nvidia has been doing as well as it has for so long, it takes a lot for people to get excited," Jay Goldberg, a senior analyst for semiconductors and electronics at Seaport Research, told Al Jazeera. "That's just kind of the nature of Wall Street." "All these stocks have run a lot this year, but a lot of it is driven by press releases," Goldberg said, adding that tech firms have yet to demonstrate a "broad-based consumer case" for AI. The AI Valuation Debate Nvidia's spectacular rise and the sky-high valuations of other tech giants, such as Microsoft and Amazon, have stirred discussion about whether AI is overhyped and creating a massive market bubble. William Rhind, the CEO and founder of New York-based investment firm GraniteShares, said the muted reaction showed that expectations had "caught up to fundamentals." "Nvidia is no longer beating a high bar – it is the bar," Rhind told Al Jazeera. Rhind said the bullish case for Nvidia nonetheless remains strong, pointing to the dividend hike and share buyback scheme as signs of a company with "more cash than it can possibly redeploy into the business". "When the marginal use of capital starts shifting toward buybacks and dividends, you're watching a hypergrowth story begin to mature in real time," he said. "That's not bearish – it's a different kind of bullish." Future Outlook John Belton, a portfolio manager at Gabelli Funds, said Nvidia's latest results should not "dramatically shift the story one way or another". "Overall, another solid earnings," Belton told Al Jazeera, saying the results mirrored the "strong numbers" of previous quarters "albeit without any new earth-shattering developments." As Nvidia continues to dominate the AI chip market, the company faces the challenge of maintaining its extraordinary growth trajectory while navigating increasing scrutiny about whether current valuations reflect sustainable business fundamentals or speculative enthusiasm.
#Nvidia #AI chips #Jensen Huang
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Politics May 21, 2026

The Queen’s Push for Prince Andrew as Trade Envoy: A Misjudged Decision

The Guardian reports that Queen Elizabeth II was “very keen” to appoint Prince Andrew as a trade en…
Queen’s 2001 Push for Prince Andrew as a Trade EnvoyThe late Queen Elizabeth II expressed strong enthusiasm in 2001 for her second son, Prince Andrew, to assume a “prominent role in the promotion of national interests” as a trade envoy. The appointment was intended to give the “spare” heir structure, purpose, and a public‑service narrative after his naval career and early hero status following the Falklands conflict.Absence of Measurable Trade ImpactThe article provides no financial figures or trade statistics linked to Andrew’s brief envoy tenure, indicating that the role failed to generate quantifiable economic benefits. Without data on export growth, investment inflows, or diplomatic agreements, the appointment remains a symbolic gesture rather than a measurable policy success.Repercussions for Monarchical ReputationPublic perception shifted as Andrew’s later scandals, including the 2019 Newsnight interview and ties to Jeffrey Epstein, contrasted sharply with the queen’s early support.Royal commentators suggest the queen’s “blinkered” favoritism may have deepened the family’s vulnerability to criticism.Even after Andrew stepped down as a working royal, the queen continued to offer personal support, such as riding beside him at Windsor Castle.These actions reinforced the view that the monarchy was willing to protect a controversial figure, potentially eroding public trust.Future Outlook for Royal Patronage and Public RolesWith King Charles III now overseeing the family, the precedent set by the queen’s 2001 decision highlights the need for clearer criteria when assigning public duties to senior royals. Analysts anticipate a more cautious approach, limiting official roles to individuals with unblemished records to safeguard the institution’s relevance.
#Queen Elizabeth II #Prince Andrew #Royal Family
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Sports May 21, 2026

Mane and Koulibaly Lead Senegal’s Star‑Studded World Cup 2026 Squad

Senegal coach Pape Thiaw has unveiled a 28‑man roster for the 2026 World Cup, anchored by veteran s…
Senegal’s national team has confirmed a 28‑man squad for the 2026 FIFA World Cup, with marquee names Sadio Mane and Kalidou Koulibaly leading a blend of seasoned stars and youthful prospects.Senegal Announces 28‑Man Roster Featuring Mane and KoulibalyCoach Pape Thiaw revealed the list on Thursday, noting that two players will be cut before the final deadline at the end of May. The selection reflects a strategic mix of experience, athleticism, and depth across all positions.Squad Composition and Player StatisticsGoalkeepers: Edouard Mendy, Yehvann Diouf, Mory DiawDefenders: Kalidou Koulibaly, Krepin Diatta, Antoine Mendy, Abdoulaye Seck, Ilay Camara, Moussa Niakhate, Mamadou Sarr, El‑Hadji Malick Diouf, Moustapha Mbow, Ismail JakobsMidfielders: Idrissa Gueye, Habib Diarra, Pape Matar Sarr, Pape Gueye, Lamine Camara, Pathe Ciss, Bara NdiayeForwards: Sadio Mane (34, 53 goals in 126 caps), Bamba Dieng, Iliman Ndiaye, Nicolas Jackson, Assane Diao, Ibrahim Mbaye, Cherif Ndiaye, Ismaila SarrThe squad retains the all‑time leading scorer Mane and the experienced centre‑back Koulibaly, while also integrating promising talents such as 18‑year‑old Bayern midfielder Bara Ndiaye.Implications for African Representation and Tournament ProspectsSenegal entered the tournament as the most potent African qualifier, having topped the recent Africa Cup of Nations. Their Group I draw pits them against France (June 16, New Jersey), Norway (June 22), and Iraq (June 26), offering a challenging path but also a chance to replicate their 2002 quarter‑final run.The inclusion of both veteran leaders and dynamic youngsters signals a clear intent to advance beyond the group stage, potentially reshaping the perception of African teams at the World Cup.What to Expect from Senegal in the 2026 World CupAnalysts anticipate that Mane will spearhead the attack, supported by pacey wingers Ismaila Sarr and Nicolas Jackson. Defensively, Koulibaly provides stability, while the midfield depth—featuring Gueye and emerging talents—offers tactical flexibility.If the squad can stay injury‑free and integrate the new call‑ups quickly, Senegal could challenge for a knockout‑stage berth, aiming to surpass their 2018 group‑stage exit and 2022 round‑of‑16 finish.
#Sadio Mane #Kalidou Koulibaly #Senegal
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Tech May 21, 2026

AI Nobel Prize Discovery Predicted Within a Year

Anthropic co-founder Jack Clark predicts AI will help make a Nobel prize-winning discovery within 1…
The AI Prediction Timeline Anthropic co-founder Jack Clark has made a series of predictions about the rapid advancement of artificial intelligence. In a lecture at Oxford University, Clark stated that an AI system will work with humans to make a Nobel prize-winning discovery within 12 months. He also predicted that tradespeople will be helped by bipedal robots in two years, and companies run solely by AIs will be generating millions of dollars in revenue within 18 months. The Future of AI Development Clark described a “vertiginous sense of progress” in AI technology and warned that there remained plausible scenarios in which the technology had “a non-zero chance of killing everyone on the planet”. He emphasized the importance of slowing down the development of AI to give humanity more time to deal with its implications, but acknowledged that this was unlikely to happen due to commercial and geopolitical rivalries. The Risks and Challenges of AI Critics of frontier AI companies like Anthropic, OpenAI, and Google fear over-reliance on their few AI models could create a “single point of failure” in global systems. Prof Edward Harcourt, director of the Institute for Ethics in AI, warned that the rise of AIs that do more and more things for humans risks creating “cognitive atrophy” that could weaken humans’ decision-making and powers of judgment. The Call for Responsible AI Development Clark and Harcourt advocate for responsible AI development and alternative models that prioritize human involvement. Clark wants to encourage humanity to prepare for a technology that will “soon be more capable than all of us collectively”, while Harcourt suggests “Socratic” AI models that ask humans to do more of the thinking.
#Anthropic #AI #Jack Clark
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Politics May 21, 2026

Bolivia's President Reshuffles Cabinet Amidst Growing Anti-Government Protests

Bolivia's president has reshuffled the cabinet in response to escalating anti-government protests. …
The Cabinet Reshuffle Bolivia's President has made significant changes to the cabinet in an effort to address the growing discontent among citizens. The reshuffle comes at a critical time as anti-government protests continue to escalate. Background of the Protests The protests began several weeks ago in response to various grievances against the government. Citizens have been demanding changes in economic policies, better living conditions, and more transparency in governance. The Impact of the Reshuffle The cabinet reshuffle is seen as a strategic move by the President to regain public trust and stabilize the country. Key positions have been filled with new appointees who are expected to bring fresh perspectives and solutions to the country's challenges. The Road Ahead The success of the reshuffle will depend on the ability of the new cabinet members to address the core issues driving the protests. The President faces a tough task in balancing political pressures with the need for effective governance.
#Bolivia #President #Cabinet Reshuffle
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Politics May 21, 2026

Bolivian President Announces Cabinet Reshuffle Amid Growing Anti‑Government Protests

President Rodrigo Paz said he will reshuffle his cabinet as nationwide protests over free‑market re…
President Rodrigo Paz announced a cabinet reshuffle in response to escalating street protests, signaling a tactical shift to quell dissent while preserving his right‑wing agenda.Cabinet Reorganisation Proposed by President Rodrigo PazDuring a Wednesday press conference, Rodrigo Paz stated that a new lineup of ministers will be appointed to "listen" to the public and restore stability. He emphasized the need for a government capable of addressing the grievances of farmers, labourers, miners and teachers who have taken to the streets.Announcement date: 2026‑05‑20Key demand: reversal or moderation of fuel‑subsidy cutsTargeted ministries: finance, interior, and social developmentEconomic Context of Bolivia’s Deepening CrisisSince taking office in November, the Paz administration has pursued aggressive free‑market reforms, including controversial cuts to fuel subsidies, plunging the country into one of its worst economic downturns in decades. While no specific figures were disclosed, the austerity measures have triggered widespread hardship and fuelled the protests.Political Stakes and Regional ReactionsThe reshuffle occurs amid accusations that former president Evo Morales is stoking unrest while facing a statutory‑rape arrest warrant. Foreign Minister Fernando Aramayo framed the demonstrations as anti‑democratic, and the United States, represented by Secretary of State Marco Rubio, publicly backed Rodrigo Paz's government. Conversely, Colombian President Gustavo Petro condemned the protests as a "popular insurrection" and warned against expelling Colombia’s ambassador.Outlook for Bolivia’s Political StabilityIf the new cabinet can deliver tangible economic relief, the protests may subside and the government could consolidate its right‑wing agenda. However, continued backing of Morales by his supporters and external diplomatic friction could reignite unrest, making Bolivia’s near‑future highly uncertain.
#Rodrigo Paz #Evo Morales #Bolivia
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