So, after a few brief diversions, let’s get back to talking about metric spaces. Now that we’ve got the concept of open sets out of the way, we’ll be able to talk about some more interesting properties. Today, we’ll be discussing the notion of connectedness. Much as was the case with open and closed sets, [...]
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I had a lengthy conversation the other night about how brilliant that music video is — I don’t really want to rehash it here, because it’ll make me sound like an out of my depth wanker, but suffice it to say I’m a fan. Also, Everlong is a brilliant song. It’s easing me back into [...]
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You know who you are. No one is blaming you — it’s an addiction that was forced upon you through repeated unavoidable exposure to the catchy pop-tunes of a girl who can’t tell the difference between high-proof spirits and toothpaste. But it’s time to recognise that you have a problem. You’re suffering from a Top [...]
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I’m pretty sure that if I were to take stock of the conservative commentators I’ve lambasted or ridiculed since I began blogging, Mike Adams would be the individual to have attracted (individually) most of my ire. Still, it’s hard to feel sorry for him when he comes out with non sequiturs like the following… Georgia [...]
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Okay, so I’ve just added in a little sidebar that displays my recent Tweets and Twitter convos. It seems like everything is working out smoothly, but if anybody notices a bug or is otherwise having unexpected troubles with the site, please let me know.
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Episode 26 of The Pseudo Scientists is up now — you can find it on iTunes, or at the Young Aus Skeptics website here. This episode, Jason, Jack and Alistair reminisce about childhood Christmases lost, and hit the street to ask about the meaning of Christmas. Also featured are some interviews I did with skeptical activist [...]
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Merry Christmas, all!
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Really? Already? Well gosh — I couldn’t hear you over the sound of me still reading research materials at home, working at a job, and now (having had a few days away from that) frantically preparing for Christmas. Which is to say that I love you all dearly, and your regularly scheduled maths/politics/skepticism/whatever will be [...]
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Yesterday, a large group of people gathered at the State Library in Melbourne to support Julian Assange and the Wikileaks organization. The rally was one of many international events organized under the banner of Rally4Wikileaks. I’ve no strong opinion on Julian Assange personally. I have no desire to pre-judge his guilt or innocence with regards [...]
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So far, we’ve dealt with the motivation and definition of a metric space, and have also seen some standard examples. Pretty soon we’ll be moving onto different ways we can categorise metric spaces, but before we do that we’ll need to deal with a topic that is crucial to any kind of development: Open and [...]
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