3AM in the morning, in a QQ Olympiad math chatroom, a person is requesting someone to translate an linear algebra text, particularly this sentence:

Third, that we can diagonalize the resulting matrix A --- or, more
conveniently, the square matrix of A' order M*N whose order-(M*N/2)
blocks are 0,A;A-transpose,0 , whence det(A') = +-(det(A))^2.

I tried to translate it. But fail to even understand what it means. It should be express in some simpler manner. I appreciate anyone who attempts to do this.

Then we talked, ranging from math to philosophy.
He mentioned he has a friend in US, who also likes math. Soon revealed she also joined ARML this year and she is in Nassau, our neighbor county.

Insane.
A person I met randomly, who is in China, knows someone who live so close to me and have so much hobby in common with me.
That guy also know a person who done each and everyone of Project Euler problem in his school.

Ramsey theory.

I was WINtroduced to his friend and even got a partial deal of getting a lift to Princeton Math Competition, thus solved my transportation problem :)
But she also does Intel STS. Humm... a competitor...

It's karma. I did so many good things, something nice should happen to me once in a while.

While talking with the guy, we created a math joke.
"How to know a girl's bra size?"
"Integrate her curves and you will find the volume, duh!"