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Will AI complete mathematics?
What next for the world of maths after a major intrusion by AI?
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The latest updates and analysis from the BBC.
12/10/2026 04:01 GMT
The latest five minute news bulletin from BBC World Service.
Ukraine accuses Russia of continuing to target its power plants
President Trump announced earlier a ceasefire towards energy infrastructure
12/10/2026
News and current affairs, including Sports Desk, Weather and Thought for the Day.
The big political issues of the day.
Saudi Arabia vows a firm response to Houthi attacks on its airports
We hear from a British expat and discuss what could come next.
12/10/2026 13:01 GMT
Flights disrupted as Houthi attacks on Saudi Arabia continue
The Saudi government promises a 'serious' response
Andy Burnham says would be "dereliction of duty" to turn down closer ties with EU
PM announces new summit talks with EU will take place next month.
A round-up of the day's top news and sport with Clare McDonnell and Chris Warburton.
Christian Fraser, Mikey Kay and guests consider how the Ukraine war has changed warfare.
12/10/2026 20:01 GMT
Houthi warning to the US
Rebels say US will face a swift retaliation if it interferes in Yemen's war
Andy Burnham to push for new post-Brexit deals at EU summit
The PM says "deeper cooperation" on some key issues would help drive economic growth
Burnham's Brexit 'conversation'
Should we brace ourselves for a rerun of divisive Brexit rows? With Victoria Derbyshire
