My enemy, I'm told.
Sorry folks; I don't think I have anything provocative this time. We'll see where it goes though.
The first matter I'd like to discuss is what the fuck did I drink last night? I haven't actually been proper hungover is a long time and I think I nearly barfed. Hopefully I didn't destroy the brain cells containing all my exam preperation. That would be sucky as all sucksville.
So yeah, exam preperation. I know several times I've claimed that each has been the first time I've actually studied. I beleive it's because my idea of what studying is, has been changing. Wow, "is has" seems a bit weird. Anyway I'm determined to get at least 90 in both of my subjects. It currently is possible to get 100% on both I think, thats a bit optomistic though. But I'd like to go into these exams optomistic.
I think I've complained to most people about it but just for perspective, I should mention that I'm aiming for a Australian Postgraduate Award (APA) to do my PhD which is worth 60-70k approximately in total over 3-3.5 years. I'd really, really fucking like one of these scholarships.
(Also please don't comment saying you'll be fine your smart or something to that effect, because I'm in the bottom half of the smartness scale in my office)
Though I have decided that I want to spend my life doing maths.
On that note, I will leave you with some problems. :)
1. Draw 7 disjoint triangles with 6 straight lines. (bonus points if anybody uploads an image)
2. One can easily associate every point between 0 and 1 with every point between 0 and 10, simply by taking some number say 0.463728265 which is between 0 and 1 and then multiplying by 10 to get 4.63728265 which is between 0 and 10, and go backwards by dividing by 10. The fun with infinite things.
The question is; can you associate every point between 0 and 1 (excluding 0 and 1) with the same set of points but with the extra point 1 included? So essentially you have to jam an extra point in somehow. It took me a long time to figure it out but you don't actually need any complicated maths to do it you just need to think for ages.
3. Two trains start 100km appart on the same train line travelling at 50km/h towards each other. A (super)fly starts on the front of one train and flys ahead of the train at a speed of 75km/h until it reaches the other train then turns around and flys back. The fly continues this until it is inevitably crushed in the middle. What total distance does the fly traverse?
Ok that'll do.
Those questions are all questions people have posed to me.
#3 is the easiest, then #1 isn't too bad but #2 is a bitch. Give them a shot if your bored.
Saturday, June 7, 2008
I killed a man in a far away land.
Posted by Steve at 7:42 PM
Subscribe to:
Post Comments (Atom)
9 comments:
your litterally making my brain hurt as i try to do the third one which i know i did in grade 6 wtf. yeah you may be the dumbshit of the class but your doing something i woudnt have a hope in hell of doing, so your still the smartest dumbshit that i know.
1. http://img93.imageshack.us/my.php?image=trianglesqz6.gif
Correct J. Same one I drew.
#3. Yes that is the easiest:
The trains are 100km apart, the fly flys between them until they meet, which at 50km/h is in one hour. They fly flies at 75kmh for that hour and so flys 75km.
#1 I though disjoint meant not having any common sides - is it just common areas? Oh..
#2 Yeah... I'm not sure I iget what your saying. Is this a correct rephrasing of the question:
"It's easy to map one-to-one (0,1) to (0,10), but how can you map (0,1] to (0,10)?"?
Is that what you're asking?
This comment is just so I get follow up comments mailed to me..
Yeh #3 is simple. That's what I did. The guy who asked me actually worked out how long each trip was and took a limit... crazy people.
I just tried to word them as understandable as possible for most people, the disjoint triangles ok I guess could have meant that. I did however just mean no common areas.
The hard one could be better stated; find a bijection(one to one and onto) from (0,1] to (0,1).
So yeah one to one and also has to go to every point in (0,1).
Also I may have a solution to that turn based shoot-out we were trying to work out optimal strategies for at dinner. I'm reading a (very introductory) introduction to game theory.
ahhh back to the good old shoot out. that was a funny conversation. sounds like a good plan for culling :)
I'm still thinking about that mapping one...
RH has been proven, mathematics is done.
Post a Comment