Search found 153 matches

by Corei13
Fri Dec 16, 2011 2:23 am
Forum: Algebra
Topic: two variable equations number of solution.
Replies: 4
Views: 1758

Re: two variable equations number of solution.

Yes, they have infinitely many solutions.
by Corei13
Fri Dec 16, 2011 12:13 am
Forum: Algebra
Topic: two variable equations number of solution.
Replies: 4
Views: 1758

Re: two variable equations number of solution.

Any "More Than One" variables equation have infinitely many solutions! (If you allow Complex numbers)
by Corei13
Thu Dec 15, 2011 9:18 am
Forum: News / Announcements
Topic: Can i post it
Replies: 5
Views: 2841

Re: Can i post it

যাওয়ার তো কথা। কারণ শর্টলিস্ট ২০১০ তো এখন উন্মুক্ত।
by Corei13
Sun Dec 11, 2011 2:05 am
Forum: National Math Camp
Topic: solutions to camp exam problem
Replies: 28
Views: 8275

Re: solutions to camp exam problem

@Mahi: ( Both in problem 1 and Problem 6 ) Sourav was right. You can't WLOG set them to be ordered. You WLOG can only say, "either $a\ge b\ge c$ or $a\le b \le c$"
by Corei13
Sat Dec 10, 2011 11:15 pm
Forum: Algebra
Topic: n variable nice inequality
Replies: 7
Views: 2401

Re: n variable nice inequality

http://www.artofproblemsolving.com/Foru ... 4&sr=posts
A walk through Functional Equation!
by Corei13
Sat Dec 10, 2011 7:53 pm
Forum: Algebra
Topic: n variable nice inequality
Replies: 7
Views: 2401

Re: n variable nice inequality

Hmm, Yes.
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by Corei13
Sat Dec 10, 2011 5:52 pm
Forum: Higher Secondary Level
Topic: ধারার সমস্যা
Replies: 7
Views: 2911

Re: ধারার সমস্যা

$a_{4n+6} = a_{4n+7} - a_{4n+5}=a_{2n+3}-a_{2n+2}=a_{2n+1}=a_{n}$
And, given that, $a_{4n} = a_{4n+1}-a_{4n-1}$ and so $a_2 = a_3 - a_1 = a_1 - a_0 = a_0 - a_0 = 0$
$a_{2011} = a_{1005} = a_{502} = a_{124} = a_{125} - a_{123} = a_{62} - a_{61} = a_{14} - a_{30} = a_2 - a_6 = a_2 - a_0 = -a_0 = -1$
by Corei13
Sat Dec 10, 2011 12:17 pm
Forum: Algebra
Topic: n variable nice inequality
Replies: 7
Views: 2401

Re: n variable nice inequality

Generalization :mrgreen: : ( Reversed Cauchy ? ) \[\left(\sum_{1\leq i \leq n }{a_i^2}\right)\left(\sum_{1\leq i \leq n }{b_i^2}\right) \leq \frac{(M+m)^2}{4Mm}\left(\sum_{1\leq i \leq n }{a_i b_i}\right)^2 \] Where, $M=\max_{1\leq i \leq n }{\left\{\frac{a_i}{b_i} \right\}}$ and $m=\min_{1\leq i \l...
by Corei13
Wed Dec 07, 2011 9:57 pm
Forum: National Math Camp
Topic: solutions to camp exam problem
Replies: 28
Views: 8275

Re: solutions to camp exam problem

@Sourav: You can convert .tex file to .pdf online ( Try http://www.scribtex.com/ ). Also, there are many other software to compile latex files. But you need to write them strictly ( See here: http://en.wikibooks.org/wiki/LaTeX ) and those software are really huge! I think the best option is to use T...