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#math
<Trixsey> arctanx :(
<srart> ignore all that new stuff. I was right the first time, getting tired either that or that is a reall fast moving ballon
<srart> sorry
<srart> so tan-1 the sec%
<srart> should be about 17deg /sec
<t35t0r> is it possible to sort 3 elements with 2 comparisons?
<JimDangle> wait so
<JimDangle> tan^-1(sec%) = tan^1(sqrt(1/10)) ?
<JimDangle> how come it isnt sec^-1
<PuppiesOnAcid> How would I go about proving that ceil(xy) = ceil(x) * ceil(y) ?
<thermoplyae> x = 1/2, y = 2
<thermoplyae> ceil(xy) = 1, ceil(x) = 1, ceil(y) = 2, ceil(x)*ceil(y) = 2
<srart> well now, let's draw a picture and be sure, cause I may be wrong (and now I think I am). the angle @ t= 9 and t = 11
<srart> hint h = 27 and 33
<PuppiesOnAcid> thermoplyae: Thank you so much.
<PuppiesOnAcid> thermoplyae: YOu just earned me 6 points.
<PuppiesOnAcid> Ok, how would I do this
<PuppiesOnAcid> For the sequence s defined by: s_n = 3n + 1, n >= 0
<PuppiesOnAcid> Prove that s_n satisfies s_n = s_n-1 + 3
<Kasadkad> Just plug the definition of s_n in for it
<PuppiesOnAcid> I have 2 definitions of s_n
<Kasadkad> I mean plug in 3n+1 for s_n
<joblot> PuppiesOnAcid: s_n - s_n-1 = 3n - 3(n-1) = 3
<srart> JimDangle: h=30 meens sec(45 deg)*d%/dt=1/10 and therefore d%/dt=1/20
<PuppiesOnAcid> Man, I am awful at proofs.
<thermoplyae> You'll get better if you keep doing math
<thermoplyae> Or you'll fail
<thermoplyae> Toss up
<joblot> hmm, is it possible to get worse?
<Volatile> it is. I have seen it.
<joblot> Volatile: please elaborate
<Volatile> joblot, I have people who weren't able to grasp the concept of "n" whatsoever
<Volatile> s/have/have had/
<Jafet> http://harveycartel.org/metanet/n.html
<joblot> hmm, so they understood the easy stuff, then forgot it, then could not understand the more advanced stuff -- regression i guess
<Volatile> well, their understanding of the easy stuff was somewhat... limited.. as well... But regression might very well be the cause... ;)
<Volatile> time for school, bbl...
<thermoplyae> Screw that, time for sleep
<PuppiesOnAcid> Like this for example: Let A = (s_1 + s_2 + ... + s_n) / n be the average of the real numbers s_1, ..., s_n. Prove or disprove: There exists i such that s_i > A
<PuppiesOnAcid> I mean like, would just i = 2 prove it?
<Jafet> you mean s_i >= A?
<Jafet> because in the original we could set s_i = s_j for all i, j and poof! counterexample
<Kasadkad> PuppiesOnAcid: What happens if they're all strictly less than A?
<Jafet> to be precise, if none of them are greater than of equal to A, then they must all be smaller than A
<Jafet> what happens when you take their average then?
<PuppiesOnAcid> Ok, when you refer to s_i
<PuppiesOnAcid> That refers to just i right?
<Jafet> eh?
<PuppiesOnAcid> See, that's what I don't get
<joblot> s_1 = 5 , s_2 = 6 ...
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