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#math

<PuppiesOnAcid> What does s_n refer to?
<PuppiesOnAcid> joblot: How in the world do you get that?
<joblot> it's just an example
<Jafet> well, that simply means you have to prove it's true no matter what value you choose for n
<PuppiesOnAcid> Ok, let's say I pick n to be 7
<PuppiesOnAcid> What would the top half the equation equate to?
<PuppiesOnAcid> The s_1 + s_2 + ... s_n part?
<joblot> PuppiesOnAcid : s_1 + ... s_7
<PuppiesOnAcid> Ok, what does s_1 equate to?
<joblot> s_1 is not known to you, specifically, in this problem -- it could be any value
<PuppiesOnAcid> So I still have no idea how to complete this proof.
<Jafet> do you even understand the problem statement?
<PuppiesOnAcid> Not really.
<PuppiesOnAcid> I am guessing I have to disprove this statement though.
<Jafet> good guess
<PuppiesOnAcid> It is just late and I've been at this for too long.
<Jafet> you need proof by contradiction
<PuppiesOnAcid> I just don't know how to go about disproving it.
<PuppiesOnAcid> Well yeah, but I don't know what's going to contradict.
<PuppiesOnAcid> Actually no
<PuppiesOnAcid> I need to show that there is no i that makes s_i > A true
<Kasadkad> Does the problem say > or >=?
<PuppiesOnAcid> Which means I have to prove for all i
<PuppiesOnAcid> >
<Jafet> if you set s_1 = s_2 = s_3 = ... then it would be false
<PuppiesOnAcid> http://home.cognisurf.com/~adrleu/images/Pancake_head.jpeg
<Jafet> because then obviously A = s_1 = s_2 = ... and none of the s_1, s_2 ... > A
<PuppiesOnAcid> I'm just going to ask my teacher tomorrow.
<joblot> PuppiesOnAcid: the question basically says that the center of gravity cannot be above all of the mass
<Jafet> joblot: i wouldn't expect him/her to understand a thing you just said (:
<PuppiesOnAcid> This stuf makes sense, I just can't put it onto paper
<joblot> PuppiesOnAcid : In my neighbourhood, I can say that the center of mass clearly does not lie above its constituent components -- you don't balance a tire somewhere on the driving surface of the tire
<Trixsey> You guys got any tips on how to check which string has the most chars in a vertical array of strings (matrix of chars)?
<_llll_> there are various string-matching algorithms available
<joblot> i should think that all columns would have the save count, given that we are talking about a matrix here
<Trixsey> not necessarily?
<zaphyBeeble> you mean character count?
<zaphyBeeble> like
<zaphyBeeble> abc
<zaphyBeeble> defg
<zaphyBeeble> ij
<zaphyBeeble> klmno
<zaphyBeeble> ?
<Trixsey> abc would be 3 :p
<Trixsey> defg = 4
<Trixsey> ij = 2
<Trixsey> ij, abc, defg, klmno
<Trixsey> it'd come out like that
<zaphyBeeble> well most regex in perl can report character count
<zaphyBeeble> if you want to write your own say on a firmware chip

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