Search found 69 matches
- Mon Mar 12, 2012 10:13 pm
- Forum: International Mathematical Olympiad (IMO)
- Topic: IMO-1983-6
- Replies: 15
- Views: 9813
Re: IMO-1983-6
তাইলে এইটা নিয়া এত নাচানাচি করার কি আছে ? যায়া ঘুম পার । কালকে কিন্তু APMO.
- Mon Mar 12, 2012 9:20 pm
- Forum: International Mathematical Olympiad (IMO)
- Topic: IMO-1983-6
- Replies: 15
- Views: 9813
Re: IMO-1983-6
এইটাই কেউ পার না । Incircle-টা যে যে অংশে a,b ও c-কে ভাগ করে, তা চিন্তা কর । এরপর Cauchy-Schwarz use কর, the problem is now solved!
- Sun Mar 11, 2012 4:13 pm
- Forum: International Mathematical Olympiad (IMO)
- Topic: IMO SL-5(2009)
- Replies: 2
- Views: 2694
IMO SL-5(2009)
Let f be any function that maps the set of real numbers into the set of
real numbers. Prove that there exist real numbers x and y such that
$f(x−f(y)) > yf(x)+x$
(I didn't use LaTeX.)
real numbers. Prove that there exist real numbers x and y such that
$f(x−f(y)) > yf(x)+x$
(I didn't use LaTeX.)
- Sun Mar 11, 2012 4:03 pm
- Forum: Combinatorics
- Topic: Could someone give me an easier IMO 6 ?
- Replies: 13
- Views: 19241
Re: Could someone give me an easier IMO 6 ?
I can't believe that the 6th problem of IMO is so easy.
- Sat Mar 10, 2012 10:32 am
- Forum: Asian Pacific Math Olympiad (APMO)
- Topic: APMO-2007(1)
- Replies: 2
- Views: 3051
APMO-2007(1)
Let S be a set of 9 distinct integers all of whose prime factors are at most 3.
Prove that S contains 3 distinct integers such that their product is a perfect cube.
Using pigeonhole might help( ).
Prove that S contains 3 distinct integers such that their product is a perfect cube.
Using pigeonhole might help( ).
- Fri Mar 09, 2012 10:22 pm
- Forum: International Mathematical Olympiad (IMO)
- Topic: IMO SL-7(2009)
- Replies: 5
- Views: 3833
IMO SL-7(2009)
Find all functions f from the set of real numbers into the set of real
numbers which satisfy for all real x, y the identity
$f (x f (x+y)) = f (y f (x))+x^2$.
I'm trying to solve it for 5 hours but still couldn't solve ( ). I've prove its surjectivity but couldn't prove that it's injective.
numbers which satisfy for all real x, y the identity
$f (x f (x+y)) = f (y f (x))+x^2$.
I'm trying to solve it for 5 hours but still couldn't solve ( ). I've prove its surjectivity but couldn't prove that it's injective.
- Thu Mar 08, 2012 12:19 pm
- Forum: Geometry
- Topic: NICE GEOMETRY PROBLEM
- Replies: 3
- Views: 2515
Re: NICE GEOMETRY PROBLEM
@Fahim,
It's very easy to solve it by Cartesian coordinating system, it's a rigorous one but looking very ugly. I'm trying to solve it by traditional Euclidean method. Hope I'll do it by afternoon.
Sazid Akhter Turzo
It's very easy to solve it by Cartesian coordinating system, it's a rigorous one but looking very ugly. I'm trying to solve it by traditional Euclidean method. Hope I'll do it by afternoon.
Sazid Akhter Turzo
- Fri Feb 24, 2012 8:51 am
- Forum: Physics
- Topic: Physics Olympiad: What is it and how to prepare (ইমরোজ খান)
- Replies: 10
- Views: 34208
Re: Physics Olympiad: What is it and how to prepare (ইমরোজ খ
@afif mansib ch, you can visit http://www.bdpho.org
- Wed Feb 22, 2012 9:32 pm
- Forum: Chemistry
- Topic: books on chemistry
- Replies: 1
- Views: 8411
books on chemistry
Which books can I read in order to get a clear concept of the fundamentals of chemistry? And after completing these, which books can I read for additional knowledge in various fields of chemistry? I have lots of thirst about chemistry. Turzo