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> Interno Takmicenje, Rezultati

m_r
post Mar 24 2008, 06:34 PM
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Ime i prezime: Marko Radovanovic



Evo rezultata internog takmicenja za 1. razred.

Da podsetim da je interno takmicenje za 3-4. razred u utorak od 10.

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Hannibal Lecter
post Mar 24 2008, 09:00 PM
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Group: Članovi
Joined: 15-October 06
From: People's Democratic Republic of Konjarnik
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Status: Bivši učenik MGa
Ime i prezime: Ilija Ivanišević
Škola/Razred: Fizički fakultet, B smer, I godina,



a+b+c \geq \frac{1}{a} + \frac{1}{b} + \frac{1}{c}  /  +a+b+c
<=> 2*(a+b+c) \geq (a+\frac{1}{a})+(b+\frac{1}{b})+(c+\frac{1}{c})
x+\frac{1}{x}) \geq 2 => a+b+c \geq 3

/me ovde gubi zivce za ovo sranje dry.gif

pa onda imamo AG za (a+b+c)/3>=treci sqrt(abc)
=> 3/(a+b+c) <= 1/treci sqrt(abc) pa posto a+b+c>=3 onda je 3/(a+b+c)<=1 pa je i 1<=1/treci sqrt(abc) pa odatle dobijes biggrin.gif

This post has been edited by pyost: Mar 25 2008, 12:29 PM


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Posts in this topic
m_r   Interno Takmicenje   Mar 24 2008, 06:34 PM
Hannibal Lecter   RE: Interno Takmicenje   Mar 24 2008, 07:48 PM
Hannibal Lecter   RE: Interno Takmicenje   Mar 24 2008, 08:16 PM
Wolfbrother   RE: Interno Takmicenje   Mar 24 2008, 08:18 PM
Hannibal Lecter   RE: Interno Takmicenje   Mar 24 2008, 08:18 PM
Wolfbrother   RE: Interno Takmicenje   Mar 24 2008, 08:34 PM
Wolfbrother   RE: Interno Takmicenje   Mar 24 2008, 08:49 PM
Hannibal Lecter   RE: Interno Takmicenje   Mar 24 2008, 09:00 PM
Wolfbrother   RE: Interno Takmicenje   Mar 24 2008, 09:04 PM
Hannibal Lecter   RE: Interno Takmicenje   Mar 24 2008, 09:11 PM
SerGrimReaper   RE: Interno Takmicenje   Mar 25 2008, 12:21 PM
Hannibal Lecter   RE: Interno Takmicenje   Mar 25 2008, 01:01 PM
Hannibal Lecter   RE: Interno Takmicenje   Mar 25 2008, 02:13 PM
^_NiN0_^   RE: Interno Takmicenje   Mar 25 2008, 02:40 PM
Cekaaa   RE: Interno Takmicenje   Mar 25 2008, 03:03 PM
^_NiN0_^   RE: Interno Takmicenje   Mar 25 2008, 03:20 PM
Cekaaa   RE: Interno Takmicenje   Mar 25 2008, 05:05 PM
^_NiN0_^   RE: Interno Takmicenje   Mar 25 2008, 05:21 PM


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