IMOSL 2013 N1Phlembac Adib Hasan wrote: $\textbf{3. }$ First problem of our third TST.
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- Mon Sep 08, 2014 7:34 pm
- Forum: Number Theory
- Topic: F.E. from MOSP( probably 2005)
- Replies: 5
- Views: 3700
Re: F.E. from MOSP( probably 2005)
- Fri Sep 05, 2014 8:00 pm
- Forum: Secondary Level
- Topic: X's and 3
- Replies: 8
- Views: 6439
Re: X's and 3
Now, prove that $\sqrt[3]3$ is the unique solution (or the solution isn't complete).
- Fri Sep 05, 2014 11:25 am
- Forum: Higher Secondary Level
- Topic: dividing $x^{2013}-1$
- Replies: 7
- Views: 7101
Re: dividing $x^{2013}-1$
Or use modular arithmeticmutasimmim wrote:Now it is easy to compute $x^9-1(mod (x^2+1)(x^2+x+1))$ by some written calculations.
$\dfrac{x^9-1}{x^2+x+1} \equiv (x-1)(x^6+x^3+1) \equiv x+1 \pmod{x^2+1} $
So, $x^9-1 \equiv (x+1)(x^2+x+1) \equiv {x^3+2x^2+2x+1}\pmod {(x^2+1)(x^2+x+1)}$
- Fri Sep 05, 2014 11:08 am
- Forum: Number Theory
- Topic: Tricky NT problem from basic divisibily
- Replies: 5
- Views: 3817
Re: Tricky NT problem from basic divisibily
Instead of moving the discussion to a completely new thread, I merged the two threads and edited the first post in this thread accordingly I hope there are no confusions about this.
- Wed Sep 03, 2014 9:31 pm
- Forum: Number Theory
- Topic: power congruence mod $p^2$
- Replies: 1
- Views: 2200
Re: power congruence mod $p^2$
As it's going unsolved for too long-
- Wed Sep 03, 2014 9:09 pm
- Forum: Number Theory
- Topic: sum of fractions $(modp)$
- Replies: 8
- Views: 5076
Re: sum of fractions $(modp)$
If possible, please use \dfrac instead of \frac if you are writing an inline fraction with even smaller stuff in the numerator/denominator. I though the $k^3$ to be $k^2$mutasimmim wrote:Compute $\sum\left \lfloor\dfrac{k^3}{p} \right \rfloor$ for nonnegative integers $r<p$ and an odd prime $p$.
- Wed Aug 27, 2014 12:53 am
- Forum: Site Support
- Topic: Problem in LaTeX
- Replies: 12
- Views: 12547
Re: Problem in LaTeX
The mathematics on the other site or in BdMO forum too?
- Wed Aug 27, 2014 12:31 am
- Forum: Site Support
- Topic: Problem in LaTeX
- Replies: 12
- Views: 12547
Re: Problem in LaTeX
When it is/was green or yellow triangle, do/did the math symbols load? Try with this, for example $\sum_{i=1}^n i = {n(n+1)\over 2}$ (Reload using Control+Shift+R with the console open). Also, are you able to see jsMath mathematics on other websites, for example http://www.mai.liu.se/jsMath/test/sam...
- Tue Aug 26, 2014 8:42 pm
- Forum: Site Support
- Topic: Problem in LaTeX
- Replies: 12
- Views: 12547
Re: Problem in LaTeX
Then please follow these steps and post the answer. 1. Press Control+Shift+K in firefox. A console will appear. 2. Click on the "Network" tab in the console. 3. Reload the page. 4. Try to find the files "autoload.js", "jsMath-easy-load.js" on the network tab. What is their state, Green or yellow tri...
- Tue Aug 26, 2014 3:38 pm
- Forum: Site Support
- Topic: Problem in LaTeX
- Replies: 12
- Views: 12547
Re: Problem in LaTeX
Does a tiny "jsMath" button appear in the bottom-right corner of your page after it has finished loading?
If not, the jsMath is not loading properly, probably because of some network timeout problem. We can try to fix that if you confirm what I asked.
If not, the jsMath is not loading properly, probably because of some network timeout problem. We can try to fix that if you confirm what I asked.