18,985 reputation
22058
bio website
location Budapest
age
visits member for 4 years
seen 3 mins ago

51m
comment Probability in a knock-out tournament
By your logic, if B had beaten A, then by symmetry D's chance would still be $0.416228...$ In other words, whatever the result of the semifinal between A and B, D's chance of winning the tournament is miraculously increased. Which doesn't make any kind of sense. I have given up on trying to persuade user166967 that this is impossible, but you seem more sensible.
1h
comment Probability in a knock-out tournament
Anybody having the urge to reply to the above comment should first read user166967's answer below (and the ensuing comments, of course).
1h
comment Pythagorean Theorem Proof Without Words 6
Is the fact that the end-points of a diameter subtend $90^{\circ}$ really more elementary than Pythagoras' theorem itself?
2h
revised What is $\int x! $ $ dx$?
I just couldn't bear those gratuitous exclamation marks in a question about factorials.
3h
comment how to get $ f(x) $ if we know $ f(f(x))=x^2+x $
As you say, that paper proves that there is no such function over $\mathbb C$. The paper has an Epilogue section, in which they prove that subject to certain conditions (which I believe are satisfied here), there is such a function over $\mathbb R$.
3h
answered Compute the set of points (x,y) for a circle of arbitrary radius, with a 1 degree step, without using any trigonometric function.
3h
comment What do the little numbers in math mean, and how do they work?
Your post reminded me of this.
4h
comment how to get $ f(x) $ if we know $ f(f(x))=x^2+x $
Yes, I got $a_2 = \frac12$ as well. (And I stopped there as well...)
4h
comment Question about the graphs of functions
It has nothing to do with linear vs constant functions. It is simply testing your understanding of a couple of basic concepts (Cartesian coordinates, graph of a function). PS: What does "No direct answer please" mean?
5h
comment series for $n$-th prime number and prime counting function
$2!n$ doesn't look right.
6h
comment recursive definition odd length strings
Why on earth do you call them aaa and bbb? What's wrong with a and b?
17h
comment Probability in a knock-out tournament
I give up.${}{}$
17h
comment What is the smallest division without a fraction?
@AD.: Your comment is, shall we say, ambiguous.
18h
comment What is the smallest division without a fraction?
But anyway that's not the name of the operation on the fraction. That's called "reducing to its lowest terms".
18h
comment Probability in a knock-out tournament
OK, let me try another tack. You claim that D's chance of winning the tournament is greater than it was before A beat B in the semifinal. By symmetry, if B had won, that would also have increased D's chance. Thus, whoever wins the semifinal between A and B, D's chance is increased! Are you happy with that?
18h
comment Probability in a knock-out tournament
@user166967: But A and C are not just as likely to win any more! Surely you can see that?
19h
comment percentage of a test question
@Shahar: I was just asking myself the same question.
19h
comment Probability in a knock-out tournament
@user166967; On that basis, Team B's chance of winning the tournament is still 20%, even though it has been eliminated. Which doesn't look quite right.
19h
revised Probability in a knock-out tournament
added 107 characters in body
19h
comment Probability in a knock-out tournament
@user166967: "Team A and C have the same probability of winning right?" Of course not! Team A has scored a glorious victory over team B, which obviously increases its chances significantly.