First things first: I don't actually have a quote today (i do actually, but its pretty bad so cbs). I wagged social today too, which i'm sorry for to all the people I promised to get drunk with, but its Vinno's fault. Really. Which probably would've been a good source of quotes, but anyway.
Today, I present to you, dear reader, a special blogpost as a reward for your loyal readership:
Proof that unimaths is completely relevant and necessary for a healthy social life.
(paraphrased straight from the book)
Theorem 1.4, Page 17: At any party, there are at least 2 people who have the same number of friends present. (Obviously relevant given that social was just then)
Proof: We will assume that someone cannot be their own friend, and that two people have to be friends with each other in order to be considered friends, for logical reasons.
Suppose there are N people at the party. Each person can have between 0 and N-1 friends present. Thus there are N different possiblities for the number of firends each person can have present. If each of these possiblilities actually occured, there would be someone with no friends and someone who's friends with everyone (N-1 people). But then the latter person would be friends with the person who is friends with no-one, and this is impossible.
So someone with no friends and someone with n-1 friends cannot both be present. hence at most n-1 possibilities for the number of friends each person has can occur. Hence when we check the number of friends each person has, there are n-1 possibilities to N number of people, meaning at least 2 people must have the same number of friends. This completes the proof.
What did I say. Told you its completely relevant :D (take that fanshou and the other skeptics ^_^)
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3 comments:
That's...interesting.
Remind me to never do Uni Maths. Gogogo Uni Philosophy.
Hungy, i'm sorry i didn't stay up long enough to read this amazing post of yours.
But i got up first thing (after shower...and eating lots of...sandwiches) to read it !! =)
And now i realise that SL Maths has made me really dumb. Uni maths sounds draining.
bah stupid maths... uni acc. FTW =p
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