Search found 20 matches
- Fri Feb 18, 2011 11:13 am
- Forum: Social Lounge
- Topic: Mila in BdMO National
- Replies: 31
- Views: 19771
Re: Mila in BdMO National
mila ke chai....
- Tue Jan 18, 2011 10:58 am
- Forum: Geometry
- Topic: euclid perhaps fails here
- Replies: 7
- Views: 5061
Re: euclid perhaps fails here
moon can't you give a note on spiral similarity? this note includes only problems"P
- Mon Jan 17, 2011 2:25 pm
- Forum: Number Theory
- Topic: Prime or Composite?????????????/
- Replies: 5
- Views: 4162
Re: Prime or Composite?????????????/
how did you find this
- Mon Jan 17, 2011 2:17 pm
- Forum: Algebra
- Topic: functional equation canada
- Replies: 9
- Views: 6172
Re: functional equation canada
@avik vi
no, i didn't give this in my article
no, i didn't give this in my article
- Mon Jan 17, 2011 2:12 pm
- Forum: Algebra
- Topic: again a+b+c=1
- Replies: 3
- Views: 3411
Re: again a+b+c=1
well, we used to use some stupid brute forces for several inequalities .....i told this from that experience.
but it should not be so hard to homogenize everything
but it should not be so hard to homogenize everything
- Sun Jan 16, 2011 11:19 pm
- Forum: Algebra
- Topic: again a+b+c=1
- Replies: 3
- Views: 3411
Re: again a+b+c=1
homogenous policy should work here.....
- Sun Jan 16, 2011 9:02 pm
- Forum: Geometry
- Topic: Challenging Geometric Inequality: Prove $\leq R^{3}$
- Replies: 3
- Views: 3305
Re: Challenging Geometric Inequality: Prove $\leq R^{3}$
where are DJ, Urmi, ZU, Pranon, promi and others? all of you should be able to solve this
- Wed Jan 05, 2011 8:37 pm
- Forum: Geometry
- Topic: angle and quadrilateral
- Replies: 1
- Views: 39093
angle and quadrilateral
Let $ABC$ be an acute-angled triangle such that $\angle ABC<\angle ACB$, let $O$ be the circumcenter of triangle $ABC$, and let $D=AO\cap BC$. Denote by $E$ and $F$ the circumcenters of triangles $ABD$ and $ACD$, respectively. Let $G$ be a point on the extension of the segment $AB$ beyound $A$ such ...
- Wed Jan 05, 2011 8:33 pm
- Forum: Algebra
- Topic: ISL 2004 inequality cubic root
- Replies: 1
- Views: 2201
ISL 2004 inequality cubic root
If $a, b ,c$ are three positive real numbers such that $ab+bc+ca = 1$, prove that $\sqrt[3]{ \frac{1}{a} + 6b} + \sqrt[3]{\frac{1}{b} + 6c} + \sqrt[3]{\frac{1}{c} + 6a } \leq \frac{1}{abc}$.
- Wed Jan 05, 2011 8:00 pm
- Forum: Algebra
- Topic: functional equation canada
- Replies: 9
- Views: 6172
functional equation canada
Let $\mathbb N = \{0,1,2,\ldots\}. $Determine all functions $f: \mathbb N \to \mathbb N $such that
$xf(y) + yf(x) = (x+y) f(x^2+y^2)$
for all $x,y \in \mathbb{N} $
$xf(y) + yf(x) = (x+y) f(x^2+y^2)$
for all $x,y \in \mathbb{N} $