Question 20
 

I think there is two possible true answers to this question.

Re: Question 11
 

Could you pmail me why you think so?

Re: Question 11
 

Hm. I don't think so. I can say the following without giving away too much info:

Out of the first four statements, I am sure three of them are false, because I can create simple counterexamples for them. For the remaining statement, I am not sure yet. (I am neither sure it is true, nor do I have a counterexample.)

So, I have narrowed it down to that one statement or "none of the above". Regardless, I am very confident that there are not two true statements in the list.

Re: Question 11
 

:D

Couldn't resist (but in the end perhaps I'll have to swallow...)

Re: Question 11
 

You narrated . On no other word

Re: Question 11
 

In the end I was wrong.
I derived mathematically the true solution, and there is only one correct answer. Only, the statement should indicate some property on the functions to be met, but with the roles that are often used is understood.
Indeed, there are very simple counterexamples for all incorrect answers.

Re: Question 11
 

I just jumped in, and delivered the final.
Worst than I expected :-(, lowered my percentile somewhat... but that's life...

So, in the end I had to swallow Q11, FYI :-(

Re: Question 11
 

I find myself in a similar situation! I spent a couple of hours trying to come up with the counter example to no avail. I then went analytical and I see no easy way to prove it. Still 4 days, so there is time for inspiration :D.

Re: Question 11
 

Hint (from Mr. Hints himself :)): Cauchy.

I hope this helps more than it confuses.

Re: Question 11
 

:D, sure, Cauchy like in "Cauchy-Schwarz"? I don't want to sound cocky but I thought about bringing that ammunition myself except that I was unable to identify the inner product but now that I think about it... there is that cross term that looks very much like one... Interesting. Correction; I said earlier that I had the proof, but I still have to work out the details on paper. I just did it in my mind; the actual details are a bit more elaborated but I don't see a problem getting there :D.