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Announcements over recent months that artificial intelligence models have cracked previously unsolvable problems are shaking to the core top-level mathematicians, who are now asking themselves: where do we come in?

Everyone who profited from the sprawling multi-billion dollar investment fund scandal gripping Turkey has been identified, Finance Minister Mehmet Simsek said on Tuesday, expressing confidence the markets would emerge stronger from the controversy.

Turkey will keep its own troops in Syria and Iraq until border security with its two neighbours has been fully ensured, Defence Minister Yasar Guler told AFP.

Sitting on a couch in their manager's office, three of the oldest members of Senegal's Orchestra Baobab, the legendary Afro-Cuban and west African fusion group, banter like family.

Dejan Kulusevski said he felt like a "different man" after a 17-month injury layoff as he made an emotional return for struggling Tottenham.

Australian Ben O'Connor has rejoined Decathlon CMA CGM, where he will race alongside rising star Paul Seixas, the French team announced on Tuesday.

Hasan Nawaz and Arafat Minhas struck solid half-centuries as Pakistan posted 302-9 in the tri-series match against England in Rawalpindi on Tuesday.

Veteran back-row forward Taulupe Faletau was left out of Steve Tandy's Wales squad announced on Tuesday for next month's Nations Championship matches despite returning from injury.

Real Madrid coach Jose Mourinho on Tuesday warned Brazilian winger Vinicius Junior and the team's other stars that no-one is "untouchable".

US Secretary of State Marco Rubio said on Tuesday India had made "substantial progress" in diversifying its oil supplies, suggesting a trade deal with New Delhi was "very close".

Indonesians protested in several cities on Tuesday, raging against wildfires and a toxic haze that has made thousands unwell for weeks on end in a crisis that has engulfed Southeast Asia.

Conservative leader Kemi Badenoch proposed tapering childcare support for higher earners to replace the current cut-off at £100,000 of individual income.

Miracle Okafor converted an injury-time penalty as Alvechurch drew 2-2 with Spalding United and forced an FA Cup replay.

More than 52,000 families in the West Midlands are using Tax-Free Childcare, with HM Revenue and Customs encouraging other eligible households to register.

Household materials, charity-shop finds and reusable accessories can provide inexpensive alternatives to commercially produced Halloween costumes.

Washington Commanders receiver Terry McLaurin was taken from the field with a left-knee injury during the game against the San Francisco 49ers.

CNN chief international anchor Christiane Amanpour will leave the network in June 2027 after scaling back her daily programme earlier in the year.

Tampa Bay defeated Cleveland 7-3 in Game 6 of the American League Championship Series to book a place in the World Series.

American actor Richard Riehle, whose career spanned hundreds of film and television appearances including Office Space and Glory, has died aged 78.

Richard Riehle, the American character actor known for roles in Office Space, Glory and numerous television series, has died at the age of 78.

Unverified social-media claims about Kim Jong Un’s health and leadership have renewed attention on his sister Kim Yo Jong, a senior North Korean official.

Indian cricketer Hardik Pandya met Ravi Kumar, a supporter who said he walked about 2,390 kilometres from Lucknow through Mumbai to Bengaluru.

Delhi Police announced traffic restrictions, diversions and additional security around major Dussehra venues for celebrations on October 20.

Manchester City striker Erling Haaland has purchased a villa in the Jacob & Co Beachfront Living development on Abu Dhabi’s Al Jurf coast.

The iQOO Neo 12 will debut in China on October 28 with a Snapdragon 8 Elite Gen 5 processor, a 144Hz display and a large battery.

Market analysts retained positive views on Vedanta after Hindustan Zinc posted quarterly earnings above expectations and strong operating performance.

India said persistent unpaid assessments by major contributors have left the United Nations facing a difficult liquidity position in 2026.

The global market for digital gold could reach $160 billion to $170 billion by 2031 if providers resolve trust, access and regulatory concerns, the World Gold Council said.

Agrograde has launched an AI-based optical sorting system for arecanut, designed to automate grading while identifying quality defects in processing lines.

The Solvent Extractors’ Association of India and Solidaridad proposed four measures aimed at improving women farmers’ access to formal agricultural markets.

Paras Healthcare secured ₹652.5 crore from anchor investors before its ₹1,450-crore initial public offering opens on October 21.

Tamil Nadu, Puducherry and Karaikal may receive isolated rainfall of 11 to 20 centimetres on Tuesday and Wednesday, according to the latest weather outlook.