Tim Harford asks whether it’s really true, as some politicians claim, that more tax can be raised from lower tax rates.
http://www.bbc.co.uk/podcasts/series/moreorless/
First aired Fri, 11 Jun 10
Duration: 28 mins
Tim Harford asks whether it’s really true, as some politicians claim, that more tax can be raised from lower tax rates.
http://www.bbc.co.uk/podcasts/series/moreorless/
First aired Fri, 11 Jun 10
Duration: 28 mins
Tagged with bbc radio 4 podcast statistics stats maths mathematics tim harford tax politics
Episode one of Five Numbers, the BBC radio series presented by Simon Singh.
What’s 2 minus 2? The answer is obvious, right? But not if you wore a tunic, no socks and lived in Ancient Greece. For strange as it sounds, ‘nothing’ had to be invented, and then it took thousands of years to catch on.
Tagged with mathematics five numbers book:author=simon singh bbc zero
Episode three of Another Five Numbers, the BBC radio series presented by Simon Singh.
Think of a number. Any number. Chances are you haven’t plumped for 2 to the power of 13,466,917 -1. To get this, you would need to keep multiplying 2 by itself 13,466,917 times, and then subtract 1 from the result. When written down it’s 4,053,900 digits long and fills 2 telephone directories. So, as you can imagine, it’s not the kind of number you’re likely to stumble over often. Unless you’re Bill Gates checking your bank statement at the end of the month.
Tagged with mathematics five numbers book:author=simon singh bbc primes
Episode four of Another Five Numbers, the BBC radio series presented by Simon Singh.
Johannes Kepler experimented with different ways of stacking spheres. He concluded that the "face-centred cubic lattice" was best. Using this method, Kepler calculated that the packing efficiency rose to 74%, constituting the highest efficiency you could ever get. But, how to prove it?
Episode five of Another Five Numbers, the BBC radio series presented by Simon Singh.
In 2000, the UK government received a windfall of around £23 billion from its auction of third generation (3G) mobile phone licences. This astronomical sum wasn’t the result of corporate bidders "losing their heads", but a careful strategy designed to maximise proceeds for the Treasury.
Tagged with mathematics five numbers book:author=simon singh bbc game theory
Episode two of Five Numbers, the BBC radio series presented by Simon Singh.
Most people’s first slice of Pi is at school where it is generally made palatable as either 3.14 or the fraction 3 1/7. The memory of this number may be fuzzy for those propelled through their Maths GCSE by the power of Casio (where Pi was reduced to a button on the bottom row of the calculator), but the likelihood is they still recall that romanticised notion of a number whose decimal places randomly go on forever. At its simplest, Pi is the ratio of the circumference of a circle to its diameter. At its most complex, it is an irrational number that cannot be expressed as the ratio of two whole numbers and has an apparently random decimal string of infinite length.
Tagged with mathematics five numbers book:author=simon singh bbc pi
Episode three of Five Numbers, the BBC radio series presented by Simon Singh.
Divide any number in the Fibonacci sequence by the one before it, for example 55/34, or 21/13, and the answer is always close to 1.61803. This is known as the Golden Ratio, and hence Fibonacci’s Sequence is also called the Golden Sequence. Unlikely though it might seem, this series of numbers is the common factor linking rabbits, cauliflowers and snails.
Episode four of Five Numbers, the BBC radio series presented by Simon Singh.
The imaginary number takes mathematics to another dimension. It was discovered in sixteenth century Italy at a time when being a mathematician was akin to being a modern day rock star, when there was ‘nuff respect’ to be had from solving a particularly ‘wicked’ equation. And the wicked equation of the day went like this: "If the square root of 1 is both 1 and -1, then what is the square root of -1?"
Episode five of Five Numbers, the BBC radio series presented by Simon Singh.
Given the old maxim about an infinite number of monkeys and typewriters, one can assume that said simian digits will type up the following line from Hamlet an infinite number of times.
Episode two of Another Five Numbers, the BBC radio series presented by Simon Singh.
Picture a gambler. Is it George Clooney, tuxedo ruffled after an all-nighter at a Vegas Black Jack table, or your old Aunt Doris putting down her yearly quid-on-the-nose for the Grand National? Recent research would suggest that it’s neither. Your inveterate gambler is far more likely to be sporting leather patches at their elbows, an unhealthy appetite for corduroy, and a penchant for M-Series rather than Martinis, shaken or stirred. Some mathematicians are putting their mathematical theory where their mouth is and are betting the shirts, stuffed or otherwise, off their backs.
Tagged with mathematics five numbers book:author=simon singh bbc seven math
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