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Showing posts from November, 2011

From 'Blackjack' To The Universe (Part 2)

Welcome back travellers! I hope you found the first installment as mind blowing as I did. (I'm not trying to big-up my ego there, I'm not fussed if you enjoyed the way I write, it's the content that completely blows me away!) Just to recap, I am trying to show why it is highly unlikely that any two randomly shuffled decks of 52 cards have ever been the same, even assuming humans could play with cards since the Big Bang! Wow! What a statement! In the last post , I showed how it's possible to count the number of ways of arranging n objects (this is called the number of ' permutations ' of n objects). Without going into too much detail, it works out that for n objects, there are n! permutations (where n! = n x (n-1) x (n-2) x (n-3) x ... x 3 x 2 x 1 ). This means that for a deck of 52 cards, there are 52! , or 8.07 x 10 67 permutations. This is a massive number, and is about equal to a tenth the number of atoms in the whole Milky Way! (This was my own ...

From 'Blackjack' To The Universe (Pt. 1)

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Ever get that feeling, half-an-hour later, when you think "I wish I'd said this "? It takes me a bit longer (about two days). I think what I have learned is that I shouldn't get drunk and start talking about maths. We were having a chilled-out night, having a few drinks and playing some board games. A pack of cards came out. And I drop the bomb: Did you know? "It is very unlikely that any two randomly shuffled decks [of 52 cards] will ever have had the same order in the history of the world – even if the world's population had started playing cards at the Big Bang" – Alex Bellos. Alex's Adventures in Numberland. pg339. I don't think the significance of this properly hit. Or maybe it did and I just couldn't answer the questions. "No, really? No way!" "Since the beginning of the universe?". I mumbled something about a number being followed by 67 zeroes, but I don't think the true awesomeness of this really hit. To...

Debts by country – "Who owes what to whom?"

So there's a really cool web diagram on the BBC website today. It is an interactive tool that shows the different levels of debt owed by countries, to other countries. It is sheer comedy to go round the circle, looking at the levels of debt owed by Greece; Spain; France; Germany; then the UK; and finally the USA. A little bit of explanation is given. But I would love somebody to make this make sense to me!

I'm An Astronaut, Get Me Out Of Here

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As if weekend television couldn't get any worse, ' I'm A Celebrity, Get Me Out Of Here ' has started up again. What can we learn from watching a group of celebrities, or otherwise, performing 'terrifying' tasks in an isolated environment? The 'contestants' will be pushed to their extremes, both by the loneliness and conversely by the fact that they will never by able to escape the company of the others. The tasks will demand concentration, commitment and the facing of fears. Tensions will inevitably run high and conflict will occur. This makes for some excellent TV, or so I am told. The last decade of 'reality TV' probably hasn't told us much about being human, but perhaps it has inspired scientists to start questioning how we will ever travel beyond our own ' Pale Blue Dot '. If we were to send a manned space mission to Mars, the minimum distance that would need to be covered is around 50 million kilometres. It takes light 4 minut...

The music of the Primes

If you're kind of into maths, then Alex's Adventures in Numberland will totally blow you away. Even if you're not that interested by maths, the book is so packed full of exciting and fascinating 'dispatches from the world of mathematics' that you will find yourself testing some of the ideas. The book has linked me to some pretty amazing web pages that have found innovative ways of displaying a series of numbers. The first I want to link to is the On-Line Encyclopedia of Integer Sequences . Way back in the pre-internet days of 1963, mathematician Neil Sloane started to collect sequences of numbers. Writing on pieces of card, he would diligently give reference numbers to all of his series. For example, the sequence of natural numbers (1,2,3,4,5,6,7,8,9,10...) was given the label 'A27'. By the mid-nineties, the list contained over 5,000 distinct number sequences. Of course, then 'the internet happened', and Sloane now receives roughly 10,000 submis...

A foggy night in Macclesfield

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The other night was beautifully foggy. I've been meaning to take some 'Film Noire-esque' shots ever since playing, and loving, LA Noire . Unfortunately, I didn't have access to a hat wearing model, or to curling cigarette smoke, rising to meet the gas lamps. Anyway, my images are below. I'll probably upload them to my flickr account soon.