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2d
awarded  Notable Question
Jun
26
comment Partitioning $\{1,2,\cdots ,n\}$ into $2$ sets guarantees $3$ numbers $a,b,c$ in the same set with $ab=c$ for some $n$
@ThomasAndrews What about $\{1,2,4,7\}$ and $\{3, 5, 6\}$? Isn't that a valid partition?
Jun
17
comment Deduce an inequality from the continuity of power function
@user159517 Thanks. I misunderstood the question.
Jun
17
comment The magnitude of a triple product of two vectors
Is the norm of r equal to 1?
Jun
17
answered BMO2 Question 1 2015 Iterative Formula Problem
Jun
17
revised Show that a matrix has positive determinant
added 330 characters in body
Jun
17
answered Show that a matrix has positive determinant
May
28
answered combinatorics contest problem
May
28
comment combinatorics contest problem
Note that it should be 22.5/65 = 9/26.
May
28
comment combinatorics contest problem
You are way overthinking it. The probability that the next ball is red, is the expected number of red balls left divided by the total number of balls left.
May
23
revised Assume that the sum of absolute values of all entries of $A$ equals to $1$. What is the maximal possible value of $\det(A)$?
added 11 characters in body
May
23
answered Assume that the sum of absolute values of all entries of $A$ equals to $1$. What is the maximal possible value of $\det(A)$?
May
7
comment Show that $f(a)$ converges after some point
@Amad27For the first hint. If $a_1, s_2$ are the same, then so must $f(a_1), f(a_2)$. This tells us that the number of distinct integers cannot increase. It might decrease, like in Henry's example above.
May
6
comment Show that $f(a)$ converges after some point
@Amad27 That does not matter. Which hint are you stuck at? Can you prove the first hint? Can you prove the second hint?
May
4
revised Show that $f(a)$ converges after some point
added 43 characters in body
May
4
revised Show that $f(a)$ converges after some point
deleted 39 characters in body
May
4
answered Show that $f(a)$ converges after some point
Apr
28
comment Why is $2(5u_p)^2\equiv (1+5^p)+4 \bmod 2p-1$?
Can you check, For $p=2$, $LHS =5$, $RHS = \frac{1}{8} ( 1 + 6\times 5 + 5^2) + 2 = 7 + 2 = 9 $.
Apr
16
comment Simplifying Sum
Did you try inducting on $n$ and $m$?
Mar
27
awarded  Peer Pressure