Search found 327 matches
- Sun Apr 01, 2012 2:45 pm
- Forum: National Math Camp
- Topic: china-1991/1
- Replies: 0
- Views: 1896
china-1991/1
Find all positive integer $n$ such that $1991$ is the minimum value of $k^2+\left \lfloor \frac{n}{k^2} \right \rfloor$
- Sun Apr 01, 2012 2:40 pm
- Forum: National Math Camp
- Topic: China-1990-1
- Replies: 4
- Views: 3801
China-1990-1
Let $a,b$ positive real numbers and $a+b=2$.What is the minimum and maximum value of $\frac{1}{1+a^n}+\frac{1}{1+b^n}$
for any positive integer $n$
Edited
for any positive integer $n$
Edited
- Sun Apr 01, 2012 2:33 pm
- Forum: National Math Camp
- Topic: Problem !! Problem !!!
- Replies: 3
- Views: 3200
Problem !! Problem !!!
If $x,y,z,n \in\mathbb{N}$, and $n\geq z$ then the relation does not hold $x^n+y^n= z^n$
- Sun Apr 01, 2012 2:25 pm
- Forum: National Math Camp
- Topic: Theories (Day 1)
- Replies: 7
- Views: 4965
Re: Theories (Day 1)
Well, Vaia, here's a beginner for you. :roll: Problem: If $d=(a,b)$, then, could we PROVE that there exists integers $s$ and $t$ such that $sa-tb=d$ ? (This is a problem from Adler's Book. Although I know that this is true, I have not been able to prove it :oops: :oops: ) Well, at first assume $m=s...
- Sun Apr 01, 2012 2:15 pm
- Forum: National Math Camp
- Topic: বুঝি নাই-০২ (BOMC-2)
- Replies: 3
- Views: 3506
Re: বুঝি নাই-০২ (BOMC-2)
Vaia, The equations of example 1-43 are : $$2x+3y+5z=201;3x+5y+7z=315$$ Multiplying equation-1 by $3$ and equation-2 by $2$ we get : $$6x+9y+15z=603;6x+10y+14z=630$$ Now, subtracting the 1st equation from the 2nd, we get, $$(6x-6x)+(10y-9y)+(14z-15z)=(630-603) \Rightarrow \displaystyle y-z=27$$ Thu...
- Sun Apr 01, 2012 2:11 pm
- Forum: National Math Camp
- Topic: Theories (Day 1)
- Replies: 7
- Views: 4965
Re: Theories (Day 1)
I'm not only beginner but also "Moha beginner"sourav das wrote:No question still now ? Is there any beginner participating this camp???
Now please explain me this.
http://www.matholympiad.org.bd/forum/vi ... 9917#p9917
- Sun Apr 01, 2012 9:48 am
- Forum: Astronomy & Astrophysics
- Topic: Astro Olympiad...........
- Replies: 3
- Views: 4337
Re: Astro Olympiad...........
Elementary Astor-physics is also a good book and you can download this. just Google now.
- Sun Apr 01, 2012 9:40 am
- Forum: National Math Camp
- Topic: Not so easy (Camp problems) (BOMC-2)
- Replies: 6
- Views: 4732
Re: Not so easy (Camp problems) (BOMC-2)
may be the only solution for Problem-14 is m=n=1
- Sat Mar 31, 2012 9:23 pm
- Forum: National Math Camp
- Topic: বুঝি নাই-০২ (BOMC-2)
- Replies: 3
- Views: 3506
বুঝি নাই-০২ (BOMC-2)
১.আমি এই পোস্টটা অনেক আগে দিসিলাম কিন্তু এখন ও কেউ বুঝায়া দিতে পারল না। :( এখানে একটা নাম্বার থিওরির সমস্যা আছে সেটা কেউ বুঝায়া দাও। http://www.matholympiad.org.bd/forum/viewtopic.php?f=21&t=1775 ২."The Theory Of Number" বইয়ের 1-66 no. উদাহরনটা কেউ বুঝায়া দাও। (মাথার অনেক উপর দিয়া গেসে :cry: ) ...
- Sat Mar 31, 2012 8:55 pm
- Forum: National Math Camp
- Topic: A Plan
- Replies: 15
- Views: 8850
Re: A Plan
@Turzo , don't worry to much, it's not so official. When you can get free time, try to see the discussions and try to solve them. If you get stuck, you can tell us. And I think most of us want to work this week. Actually my year final is starting from April 24, and still I have to read a lot. But y...