Search found 1007 matches

by samiul_samin
Tue Nov 12, 2019 8:27 am
Forum: International Mathematical Olympiad (IMO)
Topic: IMO 2019/P3
Replies: 5
Views: 630

Re: IMO 2019/P3

DAMN!!!!!!! This forum has got so dead... It needs a serious waking call... Maybe we should consider calling Thanos... to invade this forum. :twisted: Maybe then the "Avengers" (admins, moderators and former-active members) might turn their focus to this forum, again. :lol: (P.S: I don't know wheth...
by samiul_samin
Tue Nov 12, 2019 8:25 am
Forum: Combinatorics
Topic: Turkey TST 2014
Replies: 7
Views: 1282

Re: Turkey TST 2014

Ragib Farhat Hasan wrote:
Tue Nov 05, 2019 12:57 am
BTW, I wonder...

This problem was posted over 5 years ago.

And no one posted a solution to this problem in half a decade!!! WOW!!!
Because there is no active member!
by samiul_samin
Tue Nov 12, 2019 8:17 am
Forum: Chemistry
Topic: Isobar
Replies: 2
Views: 574

Re: Isobar

by samiul_samin
Thu Aug 15, 2019 8:46 pm
Forum: Asian Pacific Math Olympiad (APMO)
Topic: APMO 2019 P5
Replies: 0
Views: 621

APMO 2019 P5

Determine all the functions $f : \mathbb{R} \to \mathbb{R}$ such that
\[ f(x^2 + f(y)) = f(f(x)) + f(y^2) + 2f(xy) \]for all real numbers $x$ and $y$.
by samiul_samin
Thu Aug 15, 2019 8:45 pm
Forum: Asian Pacific Math Olympiad (APMO)
Topic: APMO 2019 P4
Replies: 0
Views: 463

APMO 2019 P4

Consider a $2018 \times 2019$ board with integers in each unit square. Two unit squares are said to be neighbours if they share a common edge. In each turn, you choose some unit squares. Then for each chosen unit square the average of all its neighbours is calculated. Finally, after these calculatio...
by samiul_samin
Thu Aug 15, 2019 8:44 pm
Forum: Asian Pacific Math Olympiad (APMO)
Topic: APMO 2019 P3
Replies: 0
Views: 460

APMO 2019 P3

Let $ABC$ be a scalene triangle with circumcircle $\Gamma$. Let $M$ be the midpoint of $BC$. A variable point $P$ is selected in the line segment $AM$. The circumcircles of triangles $BPM$ and $CPM$ intersect $\Gamma$ again at points $D$ and $E$, respectively. The lines $DP$ and $EP$ intersect (a se...
by samiul_samin
Thu Aug 15, 2019 8:42 pm
Forum: Asian Pacific Math Olympiad (APMO)
Topic: APMO 2019 P2
Replies: 0
Views: 470

APMO 2019 P2

Let $m$ be a fixed positive integer. The infinite sequence $\{a_n\}_{n\geq 1}$ is defined in the following way: $a_1$ is a positive integer, and for every integer $n\geq 1$ we have $$a_{n+1} = \begin{cases}a_n^2+2^m & \text{if } a_n< 2^m \\ a_n/2 &\text{if } a_n\geq 2^m\end{cases}$$For each $m$, det...
by samiul_samin
Thu Aug 15, 2019 8:41 pm
Forum: Asian Pacific Math Olympiad (APMO)
Topic: APMO 2019 P1
Replies: 0
Views: 478

APMO 2019 P1

Let $\mathbb{Z}^+$ be the set of positive integers. Determine all functions $f : \mathbb{Z}^+\to\mathbb{Z}^+$ such that $a^2+f(a)f(b)$ is divisible by $f(a)+b$ for all positive integers $a,b$.
by samiul_samin
Thu May 16, 2019 10:40 am
Forum: Physics
Topic: BdPhO Regional (Dhaka-South) Higher Secondary 2019/2
Replies: 3
Views: 1051

Re: BdPhO Regional (Dhaka-South) Higher Secondary 2019/2

SINAN EXPERT wrote:
Fri Apr 26, 2019 8:55 pm
Solution:
BdPhO Regional (Dhaka-South) Higher Secondary 2019(3S).png
How did you draw this?
by samiul_samin
Thu May 16, 2019 10:37 am
Forum: National Math Olympiad (BdMO)
Topic: BdMO National Secondary 2018:Full Solution
Replies: 2
Views: 1279

Re: BdMO National Secondary 2018:Full Solution

SINAN EXPERT wrote:
Thu Apr 25, 2019 8:19 pm
samiul_samin wrote:
Mon Feb 25, 2019 1:45 pm
All solution of the problems of BdMO National Secondary $2018$ are available here.

Made by Soyeb Pervez Jim
How did you know about that?
From the facebook page of Parallel Math School.
I mean this file is posted by Soyeb Pervez Jim.