Weird blog name, description, and post title courtesy of the considerably random Random Word Generator at http://watchout4snakes.com/creativitytools/RandomWord/RandomWord.aspx. Where the world would be without random generators to do its thinking, I have no clue.
So this is a blog, I see... very well then. I'm not really sure who I'm writing for -it feels like I'm talking to myself (hmm, somehow I forgot to insert this sentence until I finished, confusing me very much on my second read...).Especially not when I have much useful stuff to say. At the moment. But hopefully I'll dump some stuff on here whenever I feel like it, whether it be math and computer science, random political musings, or badly constructed Shakespeare.
That's all the bad wit you'll (I suppose it's really me, since no one else in their right mind would actually want to read this) have to endure for today. Have a cookie:
Is there a real valued function f such that f(f(x)) = 1/x, for all x =/= 0?
So this is a blog, I see... very well then. I'm not really sure who I'm writing for -it feels like I'm talking to myself (hmm, somehow I forgot to insert this sentence until I finished, confusing me very much on my second read...).Especially not when I have much useful stuff to say. At the moment. But hopefully I'll dump some stuff on here whenever I feel like it, whether it be math and computer science, random political musings, or badly constructed Shakespeare.
That's all the bad wit you'll (I suppose it's really me, since no one else in their right mind would actually want to read this) have to endure for today. Have a cookie:
Is there a real valued function f such that f(f(x)) = 1/x, for all x =/= 0?
If the above problem is way too easy for you, then this one will be too. But if it's the opposite case, try this really weird pseudo-chemistry pseudo-math problem I invented in the bathtub after an immensely boring 75 minute chemistry lecture on how to multiply two numbers:
You have x moles of compound X, y moles of compound Y, and z moles of compound Z in a container. They react according to the following balanced chemical equations:
X + Y => XY
Y + Z => YZ
Z + X => ZX
Show that if there was no excess reagent remaining after the reaction (i.e. all of compounds X, Y, and Z were converted to XY, YZ, ZX), you can form a triangle with sides x, y, and z.
Bonus marks if you can generalize it, although I haven't tried yet (and somewhat doubt it is nicely generalizable... but I won't say more in fear of saying too much (this is pretty dumb actually, given that I already established I'm talking to myself (hooray for embedded brackets!))).
TCHS tonight at 9:00 PM EST (for those of you who don't know what this is, http://www.topcoder.com/). Hopefully I don't get totally pwned.
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