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The expanding universe is a complicated place. During inflation the universe expanded faster than light, but that's something that actually happens all the time, it's happening right now. This doesn't violate Einstein's theory of relativity since nothing is moving through space faster than light, it's just that space itself is expanding such that far away objects are receding rapidly from each other. Common sense would dictate that objects moving away from us faster than light should be invisible, but they aren't. This is because light can travel from regions of space which are superluminal relative to us into regions that are subluminal. So our observable universe is bigger than our Hubble sphere - it's limited by the particle horizon, the distance light could travel to us since the beginning of time as we know it.
2014 • Astronomy
Dr Hannah Fry reveals how data-gobbling algorithms have taken over our lives and now control almost everything we do, without us being aware of it. Pitching the UK speed-cubing champion against a machine in the opening seconds of the lecture, Hannah sets the pace for a rapid voyage through this superhuman world. Hannah teams up with famed YouTuber Tom Scott to create a viral video and decipher YouTube's secret algorithm, comes face to face with four-legged guests to put animal image recognition machines to the test, and reveals how the NHS is matching organ donors in chains across the country to save hundreds of lives. But the breakthroughs are not restricted to the real world. Bafta award-winning special guests reveal the secrets of CGI in films such as The Avengers and Lord of the Rings, and supersized laser illusions bring the Royal Institution to life. An unexpected feathery guest opens our eyes to a new type of coding, where computers can be trained like animals using tasty rewards, with maths comedian Matt Parker and computing expert Dr Anne-Marie Imafidon bringing the topic to life. Finally, Hannah reveals how we've all been training up Google's AI in this way for years without realising it, and discovers how Google Health is using big data to give doctors a helping hand. The power of algorithms is undeniable. Hannah ultimately discovers how we can bend the world to our will and make anything possible, with a bit of mathematical thinking.
S1E2 • Royal Institution Christmas Lectures: Secrets and Lies - The Hidden Power of Maths • 2019 • Math
Can you ever travel from one place to another? Ancient Greek philosopher Zeno of Elea gave a convincing argument that all motion is impossible - but where's the flaw in his logic? Colm Kelleher illustrates how to resolve Zeno's Dichotomy Paradox.
Hannah goes back to the time of the ancient Greeks to find out why they were so fascinated by the connection between beautiful music and maths. The patterns our ancestors found in music are all around us, from the way a sunflower stores its seeds to the number of petals in a flower. Even the shapes of some of the smallest structures in nature, such as viruses, seem to follow the rules of maths. All strong evidence for maths being discovered. But there are those who claim maths is all in our heads and something we invented. To find out if this is true, Hannah has her brain scanned. It turns out there is a place in all our brains where we do maths, but that doesn't prove its invented. Experiments with infants, who have never had a maths lesson in their lives, suggests we all come hardwired to do maths. Far from being a creation of the human mind, this is evidence for maths being something we discover. Then along comes the invention of zero to help make counting more convenient and the creation of imaginary numbers, and the balance is tilted in the direction of maths being something we invented. The question of whether maths is invented or discovered just got a whole lot more difficult to answer.
S1E1 • Magic Numbers: Hannah Fry's Mysterious World of Maths • 2018 • Math
An algorithm is a method of solving problems both big and small. Though computers run algorithms constantly, humans can also solve problems with algorithms. David J. Malan explains how algorithms can be used in seemingly simple situations and also complex ones.
Professor Jim Al-Khalili shows how chaos theory can answer a question that mankind has asked for millennia - how does a universe that starts off as dust end up with intelligent life? It's a mindbending, counterintuitive and for many people a troubling idea.
Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is math the native language of the universe itself? Jeff Dekofsky traces some famous arguments in this ancient and hotly debated question.