Search found 550 matches
- Fri Mar 30, 2012 12:07 am
- Forum: National Math Camp
- Topic: দ্বিতীয় বাংলাদেশ অনলাইন গণিত ক্যাম্প
- Replies: 57
- Views: 30830
Re: দ্বিতীয় বাংলাদেশ অনলাইন গণিত ক্যাম্প
Problem set can be solved by time if the exact time is known.Specially, I am not allowed to on my pc at any time.
- Thu Mar 29, 2012 11:47 pm
- Forum: National Math Camp
- Topic: দ্বিতীয় বাংলাদেশ অনলাইন গণিত ক্যাম্প
- Replies: 57
- Views: 30830
Re: দ্বিতীয় বাংলাদেশ অনলাইন গণিত ক্যাম্প
now,the important question is,when will the question be posted in the forum?
- Wed Mar 28, 2012 2:28 pm
- Forum: National Math Camp
- Topic: Hungery-1911/3 (BOMC-2)
- Replies: 9
- Views: 5464
Re: Hungery-1911/3 (BOMC-2)
Fahim vai,post the full solution,not necessarily formal...
- Wed Mar 28, 2012 1:45 pm
- Forum: National Math Camp
- Topic: Hungery-1911/3 (BOMC-2)
- Replies: 9
- Views: 5464
Re: Hungery-1911/3 (BOMC-2)
Vaia,I think $3^{n}+1$ is divisible by $2^{n}$ when $n=0,1$.So it is not true for all integers.
- Tue Mar 27, 2012 2:36 pm
- Forum: Geometry
- Topic: pole polar
- Replies: 1
- Views: 1920
pole polar
need some tutorials to learn pole polar and projectivev geometry.hint some links.
- Tue Mar 27, 2012 1:12 pm
- Forum: Number Theory
- Topic: x^2+2=y^3
- Replies: 14
- Views: 7642
- Fri Mar 09, 2012 10:16 pm
- Forum: Asian Pacific Math Olympiad (APMO)
- Topic: Find an n that $n|2^n+2$
- Replies: 6
- Views: 5580
Re: Find an n that $n|2^n+2$
I couldn't find answer, but i proved rather a beautiful thing.If $n$ satisfies the condition,then $2^{n}+2$ also does!!
- Fri Mar 09, 2012 9:55 pm
- Forum: Asian Pacific Math Olympiad (APMO)
- Topic: APMO 2004-5
- Replies: 6
- Views: 5407
APMO 2004-5
Prove that $(a^{2}+2)(b^{2}+2)(c^{2}+2)\ge 9(ab+bc+ca)$
for all positive real $a,b,c$.
for all positive real $a,b,c$.
- Fri Mar 09, 2012 9:50 pm
- Forum: Asian Pacific Math Olympiad (APMO)
- Topic: APMO 2004
- Replies: 6
- Views: 5453
APMO 2004
Prove that
$\left\lfloor \frac{(n-1)!}{n(n+1)}\right\rfloor$
is even for every positive integer $n$.
$\left\lfloor \frac{(n-1)!}{n(n+1)}\right\rfloor$
is even for every positive integer $n$.
- Fri Mar 09, 2012 9:44 pm
- Forum: Algebra
- Topic: For begginers Dutch mo1993
- Replies: 2
- Views: 2123
For begginers Dutch mo1993
let $a,b,c,p$ be real numbers, with $a,b,c$ not all equal,such that
$a+\frac{1}{b}=b+\frac{1}{c}=c+\frac{1}{a}=p$
(i)Determine all possible values of $p$.
(ii)Prove that $abc+p=0$.
$a+\frac{1}{b}=b+\frac{1}{c}=c+\frac{1}{a}=p$
(i)Determine all possible values of $p$.
(ii)Prove that $abc+p=0$.