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The UK and Nato say ammunition production must be ramped up so Ukraine can defend itself against Russia.

Having an overweight pet could cost owners £1,500 in vets’ bills per visit, claims data has revealed. Common health problems caused by excessive weight include cruciate ligament injuries, urinary tract disease, diabetes and arthritis. Addressing cruciate ligament injuries can mean swallowing a whopping bill of £1,578.28, and urinary tract disease costs for cats are skyrocketing to a jaw-dropping £752.06. Data from pet insurer ManyPets shows, on average, pet owners are forking out £682.65 for a trip to the vets for diabetes, while arthritis costs are coming to £476.61. However, 51 per cent of cat and dog owners are already concerned about their pets’ weight, a separate poll of 2,000 pet owners found. And nearly one in five (18 per cent) with a cat or dog could encounter these bills soon as they believe their pet already is carrying more weight than it should. With almost a fifth (19 per cent) admitting they are already shelling out more to tackle their pets’ fluctuating size. The research was commissioned as part of the ManyPets ‘Why Weight?’ report and launch of its Obesity Learning Hub. Steven Mendel, chief executive and co-founder of the pet insurer, said: “We understand it can be difficult to resist rewarding pets with extra treats, and heart-breaking to say no to them when they’re asking for more food. “But, with obesity associated health problems becoming more and more prevalent, we urge pet parents to think twice to save their pets. “We’re proud to have launched our Obesity Learning Hub to offer tips and veterinary approved advice for pet parents everywhere.” The research went on to find, with the rising cost of living still looming large for many pet owners, 22 per cent have been forced to make cutbacks to their pet’s lifestyle. Almost half (49 per cent) of these are now opting for lower quality brands of food, and 37 per cent have reduced their spend on healthcare. But 88 per cent believe they would be able to recognise the signs a pet is potentially getting to an unhealthy weight, yet only 31 per cent regularly keep an eye on their pet’s weight. Moreover,39 per cent will only visit the vets in an emergency – all of which point to an increase in weight going unchecked. In a bid to help keep weight down, 76 per cent do try to keep their four-legged friends as active as possible, while 75 per cent limit the number of treats or table scraps they give out. The study, carried out via OnePoll, found of those with an overweight pet, 22 per cent feel as if their cat or dog is ‘always hungry’. While a puzzled 19 per cent scratch their heads over their pet’s weight as they don’t think they eat an excessive amount. Steven Mendel added: “While many pet owners believe it should be straightforward to spot if their cat or dog is putting on weight – it’s often easier said than done. “In most cases, gaining weight is very gradual, meaning it can be trickier to identify - especially if pets are not attending the vet regularly. “We’re hopeful that with the right course of action and identifying the signs early, longer term pet health problems can be avoided in the future.” Read More Cat owner reunited with pet Tux after emotional Lyft ride saga Dogs’ facial markings could play a role in how close they are with owners Moment cat stuck inside boat’s hull after fire is rescued by firefighters Cat owner reunited with pet Tux after leaving her in a Lyft What you need to know about depression during menopause – as Carol Vorderman opens up Linda Evangelista describes relationship with Gerald Marie as a ‘MeToo marriage’

By Sam Tobin LONDON Standard Chartered sought on Tuesday to persuade a London court to remove from an

Linda Evangelista has described her relationship with ex-husband Gerald Marie as a “MeToo marriage”, in the first episode of Kirsty Young’s new podcast. On Young Again, the BBC broadcaster interviews a number of famous figures about what they would tell their younger selves if given the opportunity. Evangelista reflected on her 40-year career as one of the first international supermodels, her upbringing, and her regret at not speaking about her abusive marriage sooner. The 58-year-old was married to Marie, the former head of the European division of Elite Models, from 1987 until 1993. “Did I have #MeToo moments? Absolutely. I was in a #MeToo marriage. Absolutely,” she told Young. “I kept quiet for many many years. And The Guardian did a story on all the models. Only when speaking to the journalist did I find this out. And to think that I was married to him when all this was happening, is crazy. “And there’s a side of me that thinks that if I would have spoken up and said something about what was happening to me, that maybe they would have come forward at that time. And the statute of limitations wouldn’t have run out.” In 2020, seven women accused Marie of rape and sexual misconduct, which he denied. The investigation was closed without charges last month. In a recent Apple TV+ documentary, The Super Models, Evangelista described the marriage as “an abusive relationship” and claimed Marie knew not to touch her face because that was “the money-maker”. In a statement, the 73-year-old denied the abuse allegations, and said he “has never committed the slightest act of violence”. The Super Models profiled modelling stars Naomi Campbell, Evangelista, Christy Turlington and Cindy Crawford, exploring their careers as the most sought-after models in the fashion industry during the late Eighties and Nineties. Campbell, Evangelista, Turlington and Crawford, now in their fifties and with children of their own, offer a snapshot into their early careers. Each episode – “The Look,” “The Fame,” “The Power” and “The Legacy” – features archival footage from their heyday and intimate interviews with each model. The first three episodes of Young Again, the new podcast from Young, are available now on BBC Sounds. Future episodes will be broadcast weekly on BBC Radio 4 at 11am from 3 October. The national domestic abuse helpline offers support for women on 0808 2000 247, or you can visit the Refuge website. There is a dedicated men’s advice line on 0808 8010 327. Those in the US can call the domestic violence hotline on 1-800-799-SAFE (7233) Other international helplines can be found via www.befrienders.org Read More Helena Christensen says she has no interest in being in a supermodel documentary Cindy Crawford reflects on ‘traumatising’ haircut in her early career Groping, abuse and racism: 10 of the most shocking revelations from The Super Models TV show Helena Christensen says she has no interest in being in a supermodel documentary Fans convinced that Linda Evangelista and Naomi Campbell are ‘feuding’ 10 of the most shocking revelations from ‘The Super Models’ on Apple+

For many of us, the mere words “Pythagoras’s theorem” are enough to revive pencil-smudged exercise books and desperate attempts to copy classmates’ work. And yet, it turns out the name that has struck dread in countless school kids over the centuries is about as accurate as this writer’s attempts at geometry. Because although it is assumed that the legendary Greek philosopher Pythagoras himself was to thank for the equation a2 + b2 = c2, it turns out it was being used some 1,000 years before his time. Archaeologists have found the equation on a Babylonian tablet which was used for teaching back in 1770 BCE – centuries before Pythagoras’s birth in around 570 BC, as IFL Science notes. Another earlier tablet, from between 1800 and 1600 BC, even features a square with labelled triangles inside. Translations of the markings, which followed the base 60 counting system used by ancient Babylonians, prove that these mathematicians were familiar with Pythagorean theorem (although, obviously, they didn’t call it that) as well as other advanced mathematical principles. In a paper dedicated to the discovery, data scientist Bruce Ratner wrote: "The conclusion is inescapable. The Babylonians knew the relation between the length of the diagonal of a square and its side: d=square root of 2. "This was probably the first number known to be irrational. However, this in turn means that they were familiar with the Pythagorean Theorem – or, at the very least, with its special case for the diagonal of a square [...] more than a thousand years before the great sage for whom it was named." And yet, one key problem remains unsolved: why did the equation become equated with the famous Greek? Well, most likely because Pythagoras wanted it to be. In his paper, Ratner points out that although the Ionian icon is widely considered the first bonafide mathematician, little is known about his specific mathematical achievements. Unlike his successors, he didn’t write any books that we know of, so there’s no written evidence of his work. However, we do have proof that he founded a semi-religious school called the Semicircle of Pythagoras, which followed a strict code of secrecy. As Ratner explained: “Pythagorean knowledge was passed on from one generation to the next by word of mouth, as writing material was scarce. Moreover, out of respect for their leader, many of the discoveries made by the Pythagoreans were attributed to Pythagoras himself. “Consequently, of Pythagoras’ actual work nothing is known. On the other hand, his school practiced collectivism, making it hard to distinguish between the work of Pythagoras and that of his followers. “Therefore, the true discovery of a particular Pythagorean result may never be known.” Still, he stressed, even though Pythagoras wasn’t the brains behind the most famous formula in maths, he does deserve a little credit for putting it on the map. Sign up for our free Indy100 weekly newsletter Have your say in our news democracy. Click the upvote icon at the top of the page to help raise this article through the indy100 rankings.

At least three people were killed and four others injured in a shooting at a shopping mall in Thailand's capital Bangkok on Tuesday, according to local authorities.

Jamie Oliver has claimed he would choose a life of anonymity over fame, if he was given the chance to go back and do things again. The TV chef was interviewed by broadcaster Kirsty Young for her debut podcast, Young Again, which is available on BBC Radio 4 and BBC Sounds. In each episode, Young revisits pivotal moments in the lives of her guests, and asks them what they wish they’d known at the time – along with what they would change if given the opportunity. In the third episode of the podcast, which is out now, Young spoke with Oliver about his rapid ascent to fame aged just 23, following the release of his BBC cooking show The Naked Chef. Oliver, now 45, also discussed what he learnt from a young age working in his parents’ pub, his relationship with wife Jools, and the challenge of balancing his activism and campaigning work with running a business empire. “If you could go back, would you not do it?” Young asks him during the episode. “Definitely,” Oliver responds. “I’m not trying to say ‘shoulda woulda coulda’ but if I came back on Earth and did again, I would go to (set up the) pub, and I would have a normal life and I would be aware that anonymity is our greatest gift that we will never give any currency to. “And to have just enough and to trot on, and to be the best you can at your thing, and be part of a community, and to have a mutuality… That is very very very precious.” Oliver and his wife met when they were 17, and have been together ever since. They have children together. The TV chef’s remarks come not long after his business enjoyed a major boost thanks in part to his work producing shows such as Jamie’s £1 Wonders. The programme achieved an average of 1.4 million viewers as it helped households deal with the cost-of-living crisis by creating cheap and nutritious meals. His empire, which includes TV shows, recipe books, branded products and several lucrative partnerships, along with his numerous franchised restaurants around the world, made a pre-tax profit of £7.7m in 2022, a 17.5 per cent increase on the past year. Sales for the Jamie Oliver Cookery School, which offers cooking classes in London and online, also grew by more than a third last year. Amid a return to the hospitality industry after lockdowns during the pandemic, he also announced the launch of a new restaurant in London’s Catherine Street, scheduled to open in November. Last month, Oliver called for more free school meals help from the government, urging them to “put children’s health first” and widen the eligibility. Under current rules, only children from households with an income below £7,400 – after tax and benefits – are eligible. Following a major campaign by The Independent,London mayor Sadiq Khan has pledged to roll out free primary school meals to all pupils in the capital in a year-long pilot. The first three episodes of Young Again, the new podcast from Kirsty Young, are available now on BBC Sounds. Future episodes will be broadcast weekly on BBC Radio 4 at 11am from 3 October. Read More Jamie Oliver’s businesses notch up higher profits after £1 Wonders TV success Jamie Oliver calls for vulnerable children to be given free school meals Tom Kerridge: Free school meals should be part and parcel of education Is there such a thing as British pizza? Three recipes from Michel Roux’s new fuss-free French cookbook How to cook to keep your gut healthy

This year's Nobel Prize in Physics rewards research into electrons in "flashes of light".

Videos on social media show crowds of shoppers evacuating the Siam Paragon mall in central Bangkok.

The president's son faces up to 25 years in prison if convicted of three federal criminal charges.

BANGKOK Thailand's central bank said on Tuesday it was closely watching movement in the baht currency , which

Leonard Bernstein's children have revealed the personal item the actor wore for his portrayal of the late conductor and composer.