Saturday, January 23, 2010

More amazing maths

Ok, so you might not be convinced by my post where I try and convince you that $1 = 0.9...$
Let's try another tack.

Using long division we find that $\frac{1}{3}= 0.3...$

Multiplying both sides by 3

$\frac{3}{3}=0.9...$

Simplifying

$1=0.9...$

QED

Monday, January 11, 2010

Myleene Klass and the Law

Myleene Klass was warned by Hertfordshire police against brandishing a knife to intruders on her property in order to scare them away http://www.guardian.co.uk/uk/2010/jan/10/myleene-klass-knife-intruders  . She was in her own home with her daughter upstairs (her fiance was away on business at the time). Does anyone see anything wrong with this?
To me, this just demonstrates how out of touch the law is with real life. I defy anyone not to do their utmost to protect family and property using whatever means possible, yet by doing so exposes you to the very real risk of being arrested. Whatever happened to an Englishmans home is his castle? In my opinion, the law has been grossly distorted in favour of criminals, many of whom know how to play the system in their favour. Now is the time for change, whilst I'm not advocating vigilantism in anyway shape or form, I do think we should be better protected by the law from counter actions by criminals who have had their just desserts after unlawfully entering our property.
What do you think?

Tuesday, January 05, 2010

Mind blowing maths

Ok, I'm going to attempt to blow your mind with some fairly simple mathematics.

You know that $0.9$ means not quite $1$, and $0.99$ means a bit closer but still not $1$, and that $0.999$ means even closer still, but again not quite there. You following so far?

Good!
Ok, what about $$0.9...$$? What do you think the three extra dots mean? They're technically called ellipsis!
Well they generally mean 'and so forth', in essence I'm implying that those 9's go on ad infinitum.
Keeping up ok? Well this is the mindblowing bit.
Consider a number $$s = 0.9... $$(remember $$0.9...$$ means the 9's go on for ever).
I'm going to prove to you that $$s = 1$$, not nearly $$1$$, but exactly $$1$$. Does that seem counter-intuitive to you? How can a number that appears to be not quite $$1$$ be exactly $$1$$ at the same time. Here goes (don't worry the maths is fairly straightforward).

$$s = 0.9...$$

Multiply both sides of the equation by $$10$$

$$10s = 9.9...$$

Subtract one '$$s$$' from both sides

$$9s = 9$$

Divide both sides by $$9$$

$$\frac{9s}{9} =\frac{9}{9}$$

Simpify

$$s = 1$$ QED

Does that blow your mind? It should, it certainly blew mine!

Monday, January 04, 2010

Terrestrial tv over Christmas in the UK

Is it just me or is tv becoming lame, boring and uninformative, especially over the Christmas period. It seems to be just re-run after re-run or bloody soaps and to rub salt into the wounds, Channel 4 has just started Big Brother (thank god it's the last one).
Whatever happened to the mandate of BBC2 to inform and to a lesser extent Channel 4? Seems to me there is very little informing going on.

For something a little more interesting why not follow the excellent Jack of Kent blog, currently involved with BCA v Simon Singh libel case and deconstruction of the legal system in the UK for ininformed laymen like myself (highly recommended).