New Supreme Court term will reshape Trump's powers The US Supreme Court begins its new term on Monday with a docket already full of potentially significant cases that could define the scope of Donald Trump's presidential authority - and the prospect of more to come. In the eight months that Trump has been back in the White House, he has tested the limits of executive power, unilaterally implementing new policies, slashing federal budgets and workforce, and attempting to bring previously independent agencies and institutions more directly under his control. The latest brewing legal battle comes from the president's attempts to take control of state National Guard units and deploy them in cities where he claims there is public unrest and rampant crime - over the objection of local and state officials. In Oregon, a federal judge has issued orders blocking Trump's deployment of troops to Portland. An appeals court is set to review the move in the coming days.

British microcomputers were among more than 100,000 foreign-made parts contained in Russian missiles and drones used in Sunday's deadly strikes on Ukraine, Volodymyr Zelensky has said. The Ukrainian president called for further effective sanctions after saying parts originating in allied countries including Germany, Japan and the US have been identified in Russian weapons. The Department for Business and Trade (DBT) said it had recently undertaken efforts to crack down on UK firms whose products have continued to make their way into Russia's military supply chain. We take reports of goods from UK companies being found in Russian weaponry incredibly seriously, a government spokesperson said. The spokesperson said the government had banned the export of thousands of goods to Russia including every battlefield item Ukraine has brought to our attention, adding that they have imposed the most the most severe package of sanctions. What are the sanctions on Russia and are they working?

What's my Alzheimer's risk, and can I really do anything to change it? Can you escape your genetic inheritance, and do lifestyle changes actually make a difference? Daniel Cossins set out to understand what the evidence on Alzheimer's really means for him A few years ago, my dad was diagnosed with Alzheimer's disease, just like his older brother and his mum before him. Slowly, his personality began to ebb away. Now, at the age of 75, his cognitive decline is accelerating: he no longer recognises his granddaughters, for instance, and he lives in a near-constant state of confusion, which means he is losing his independence, too. As I process this loss and try to support my parents, I have become increasingly curious about what my family history means for me.

The first day of September should have marked the beginning of one of the busiest periods of the year for Jaguar Land Rover. It was a Monday, and the release of new 75 series number plates was expected to produce a surge in demand from eager car buyers. At factories in Solihull and Halewood, as well as at its engine plant in Wolverhampton, staff were expecting to be working flat out. Instead, when the early shift arrived, they were sent home. The production lines have remained idle ever since.

How China is challenging Nvidia's AI chip dominance The US has dominated the global technology market for decades. But China wants to change that. The world's second largest economy is pouring huge amounts of money into artificial intelligence (AI) and robotics. Crucially, Beijing is also investing heavily to produce the high-end chips that power these cutting-edge technologies. Last month, Jensen Huang - the boss of the global AI chip industry leader, Nvidia - warned that China was just nanoseconds behind the US in chip development.

Russia pounded Ukraine with missile and drone attacks overnight on Saturday and into Sunday morning, focusing on the major western city of Lviv. Ukraine's neighbour Poland scrambled fighter jets in order to ensure the safety of Polish airspace, the Polish military confirmed. Allied Nato aircraft were also deployed. Lviv's regional head Maksym Kozytskyi said two people were killed in strikes in the region, and two more injured. Elsewhere, Russia again targeted Ukraine's power plants - and one was struck in an overnight attack on Zaporizhzhia, where the mayor said one person died and more than 73,000 people were without electricity.

At least 30 people have been injured following a Russian drone strike on a railway station in north-east Ukraine, Ukrainian President Volodymy Zelensky has said. In a post on X, he said that preliminary reports indicated train staff and passengers were at the site of the strike in the city of Shostka, in the Sumy region. Emergency services are on the scene and have begun helping people, he said, adding that information regarding the injured was still being established. He also posted a video showing a damaged train carriage on fire. The Russians could not have been unaware that they were targeting civilians.

Flights have resumed at Germany's Munich airport after unconfirmed drone sightings forced it to suspend operations for the second time in 24 hours. In a statement on Friday evening, the airport said that flights were stopped at 21:30 local time (20:30 GMT), with around 6,500 passengers affected. At least 17 flights were also grounded in Munich on Thursday evening due to multiple drone sightings in nearby airspace. It was the latest in a series of incidents involving drones that have disrupted aviation in Europe in recent weeks. On Saturday morning, Munich airport said flights had been gradually ramped up, but warned that delays were expected throughout the day.

It may have its roots in science fiction, but a small number of researchers are making real progress trying to create computers out of living cells. Welcome to the weird world of biocomputing. Among those leading the way are a group of scientists in Switzerland, who I went to meet. One day, they hope we could see data centres full of living servers which replicate aspects of how artificial intelligence (AI) learns - and could use a fraction of the energy of current methods. That is the vision of Dr Fred Jordan, co-founder of the FinalSpark lab I visited.

Breakthroughs, discoveries, and DIY tips sent every weekday. At the US Army Corps of Engineers' research facility in central Alaska, a unique tunnel descends underground. They were hunting for something much smaller--and smellier. "The first thing you notice when you walk in there is that it smells really bad. It smells like a musty basement that's been left to sit for way too long," geological scientist Tristan Caro recounted in a statement .