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#1 Posted 7:03pm 03-02-10 sqaures[im]http://codecogs.izyba.com/gif.latex?a_%7B1%7D%5E%7B2%7D+%20a_%7B2%7D%5E%7B2%7D+a_%7B3%7D%5E%7B2%7D%3D%2025[/im] [im]http://codecogs.izyba.com/gif.latex?b_%7B1%7D%5E%7B2%7D+b_%7B2%7D%5E%7B2%7D+b_%7B3%7D%5E%7B2%7D%3D100[/im] [im]http://codecogs.izyba.com/gif.latex?b_%7B1%7Da_%7B1%7D+b_%7B2%7Da_%7B2%7D+b_%7B3%7Da_%7B3%7D%3D%2050[/im] [im]http://codecogs.izyba.com/gif.latex?Find%20%5C%3B%20%5C%3B%20%5Cfrac%7Ba_%7B1%7D%5E%7Bn%7D+a_%7B2%7D%5E%7Bn%7D+a_%7B3%7D%5E%7Bn%7D%7D%7Bb_%7B1%7D%5E%7Bn%7D+%20b_%7B2%7D%5E%7Bn%7D+b_%7B3%7D%5E%7Bn%7D%7D[/im] |
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#2 Posted 7:42pm 03-02-10 Re: sqauresCS kills it at sight |
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#3 Posted 7:50pm 03-02-10 Re: sqaures[im]http://codecogs.izyba.com/gif.latex?Let%20%5C%20%5Cvec%7Ba%7D%3Da_1%5Chat%7Bi%7D+a_2%5Chat%7Bj%7D+a_3%5Chat%7Bk%7D%20%5C%5C%20%5C%20%5C%20and%5C%20%5Cvec%7Bb%7D%3Db_1%5Chat%7Bi%7D+b_2%5Chat%7Bj%7D+b_3%5Chat%7Bk%7D[/im] u'll notice that [o]a[/o] || [o]b[/o] [im]http://codecogs.izyba.com/gif.latex?Hence\ %20%5C%3B%20%5C%3B%20%5Cfrac%7Ba_%7B1%7D%5E%7Bn%7D+a_%7B2%7D%5E%7Bn%7D+a_%7B3%7D%5E%7Bn%7D%7D%7Bb_%7B1%7D%5E%7Bn%7D+%20b_%7B2%7D%5E%7Bn%7D+b_%7B3%7D%5E%7Bn%7D%7D=2^{-n}[/im]
The map is not the territory.
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#4 Posted 7:51pm 03-02-10 Re: sqaures@ sir : CS -- Counter Strike ?? didnt get ? anyways i think my soln is okay.... but pls tell your method
The map is not the territory.
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#5 Posted 7:55pm 03-02-10 Re: sqauresOh if it is Cauchy schwarz that you meant then Im ok even without seeing that soln...
The map is not the territory.
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#6 Posted 8:43pm 03-02-10 Re: sqauresyeah . thanks for the solutions. |
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#7 Posted 5:40pm 22-02-10 Re: sqauresplz explain! |
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#8 Posted 03:51am 24-02-10 Re: sqauresif you noticed, philip you used the proof of CS [6]
-when spring comes, it melts the snow one flake at a time⦠|
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#9 Posted 09:09am 24-02-10 Re: sqauresis CS there for jee? |
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#10 Posted 09:09am 24-02-10 Re: sqauresCan you explain properly how did u do the question. |
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#11 Posted 11:30pm 24-02-10 Re: sqaures@Nishant Bhaiyya : yes, I noticed just after i wrote that this could be a nice proof for CS. atleast in exact such form for three variables. However i think it could be extended to any number of variables by induction. The thought of extending such a nice one by induction was definitely not as satisfying ..so i had a vague idea that something like an n-dimensional vector should exist and sure enough (as i came to know some time later) it does.
The map is not the territory.
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