Search found 110 matches
- Fri Aug 28, 2015 6:38 pm
- Forum: National Math Camp
- Topic: Exam 2, Online Number Theory Camp, 2015
- Replies: 24
- Views: 22431
Re: Exam 2, Online Number Theory Camp, 2015
অবশেষে রাত ৯ টা বেজে গেছে। নুরানী পরীক্ষা এখন শুরু করা যায়। সমস্যার সেট নিচে যুক্ত করা হলো। সমাধান জমা দেওয়ার শেষ সময় আজকের রাত ৯ টা। আগের দিন প্রথম ছিল বলে কিছুক্ষণ পরেও নিছি। আজকে থেকে আর নেওয়া হবে না। এখানে মেসেজ ছাড়া অন্য কোন ভাবে সমাধান দিলে এমন ভাবে জমা দিবে যাতে দেখে বুঝা যায় কোনটা কে ...
- Fri Aug 28, 2015 6:28 pm
- Forum: National Math Camp
- Topic: Exam 2, Online Number Theory Camp, 2015
- Replies: 24
- Views: 22431
Re: Exam 2, Online Number Theory Camp, 2015
Does the corrected version of the problem use Vieta Jumping as well? It would be bad if somebody is misled to use VRJ when it might use something else.
- Fri Aug 28, 2015 4:44 pm
- Forum: National Math Camp
- Topic: Exam 2, Online Number Theory Camp, 2015
- Replies: 24
- Views: 22431
Re: Exam 2, Online Number Theory Camp, 2015
Should the Vieta Jumping problem be this? If $a|b^2+1$ and $b|a^2+1$, then show that $a^2+b^2+1=3ab$. Here, $a,b$ are both positive. I am not making any assumptions about the problem until Masum vai says so, of course, and neither should anyone else. It wouldn't do to spend your energy solving a pro...
- Fri Aug 28, 2015 4:08 pm
- Forum: National Math Camp
- Topic: Exam 2, Online Number Theory Camp, 2015
- Replies: 24
- Views: 22431
Re: Exam 2, Online Number Theory Camp, 2015
Yes.Zawadx wrote:ঘাত - কি Power বুঝাচ্ছে?
- Fri Aug 28, 2015 4:07 pm
- Forum: Introductions
- Topic: O hai all!
- Replies: 3
- Views: 9153
Re: O hai all!
With me as a Marauder, I doubt you will manage your mischiefs before me, but Good Luck all the same.
-Rahul "James" Saha
-Rahul "James" Saha
- Wed Aug 26, 2015 11:58 pm
- Forum: National Math Camp
- Topic: Practice Problemset 2
- Replies: 5
- Views: 7511
Re: Practice Problemset 2
Problem 1.6 Hints: Assume $a(a+1)\cdot t(t+1)$ is interesting for some $t$. Now, try to think wishfully-wouldn't it be great if $(a+1)(t+1)$ and $at$ were consecutive integers? Unfortunately, this doesn't work. So, following the same logic, what else can you do? I will admit that I spent most of the...
- Mon Aug 24, 2015 11:45 pm
- Forum: National Math Camp
- Topic: Exam 1, Online Number Theory Camp, 2015
- Replies: 15
- Views: 17133
Re: Exam 1, Online Number Theory Camp, 2015
As I haven't attended any online camps before, I am a bit confused about sending solutions. Where do I send them? Do I PM you?
- Tue Mar 31, 2015 1:06 pm
- Forum: Number Theory
- Topic: Disibility by $n!$
- Replies: 1
- Views: 2682
Re: Disibility by $n!$
Just some ideas: My idea is that we need to consider every prime factor of $n!$ and show that the exponent of $p$ in $n!$ is less than or equal to its exponent in the product. First of all, the product can be written in a more convenient form: $$A=2^{\frac{n(n-1)}{2}}(2^1-1)\cdots(2^{n-1}-1)$$ This ...
- Sun Feb 08, 2015 12:34 pm
- Forum: Combinatorics
- Topic: Interior regions of a convex $n$ gon
- Replies: 3
- Views: 6384
Re: Interior regions of a convex $n$ gon
Every time we draw a new diagonal,it creates one new region,and every time it intersects another previously drawn diagonal,it creates one more region.Hence, Total number of regions if no 3 intersect at a point=number of intersections of two diagonals+number of diagonals You have got a little mistak...
- Sat Feb 07, 2015 10:01 pm
- Forum: Combinatorics
- Topic: Interior regions of a convex $n$ gon
- Replies: 3
- Views: 6384
Re: Interior regions of a convex $n$ gon
Every time we draw a new diagonal,it creates one new region,and every time it intersects another previously drawn diagonal,it creates one more region.Hence,
Total number of regions if no 3 intersect at a point=number of intersections of two diagonals+number of diagonals+1
Total number of regions if no 3 intersect at a point=number of intersections of two diagonals+number of diagonals+1