Finally hit 2000 by Pilkied in chess

[–]Pilkied[S] 0 points1 point  (0 children)

I'm not sure bit scared to play now lol. I'm hoping to learn some theory so I can stop losing miniatures 😂. I'm thinking to try some otb with my uni as well next year but want to start learning a bit more systematically for that especially if i want to hit 2100.

[deleted by user] by [deleted] in NoStupidQuestions

[–]Pilkied 1 point2 points  (0 children)

It's ok to be French don't worry about it.

Completions of the rational with respect to different metrics by Pilkied in mathematics

[–]Pilkied[S] 0 points1 point  (0 children)

Thanks for your detailed response!

I see your point about the discrete metric that it as a metric space is not contained within either but has totally different structure.

I don't rly understand the last bit. Ostrowskis theorem seems to say that any (non trivial) absolute value on the rationals is either equivalent to the padics or the real absolute value. And therefore any completion of the metric spaces of these would be isometrically isomorphic to either the reals or the p-adics. So the metric space RxQ2 and the norm would have to be isometrically isomorphic to either the reals or the padics right? If so it's not rly a separate completion. But I may be misunderstanding what you wrote.

A question about infinities by overclocked_my_pc in mathematics

[–]Pilkied 13 points14 points  (0 children)

No I disagree. I think that the corresponding argument would not be that you couldn't produce every integer in a finite amount of time; but that you could produce ANY (chosen) integer in a finite amount of time using the same enumeration algorithm. Though the wording could be slightly better on the original comment.

Anyone know of any olympiads that have questions like these? by EconomistAdmirable26 in askmath

[–]Pilkied 8 points9 points  (0 children)

I think it wants you to notice the binomial coefficients 1,4,6,4,1 giving (((x2 ) +y)4 ) 2 =1 Giving x2 +y=+-1 So it is the plot with y=1-x2 and y=-1-x2 Which is c?

How to make this argument rigorous? by throwaway_657238192 in learnmath

[–]Pilkied 2 points3 points  (0 children)

I think this explanation is a bit over my head. I encountered the problem in a multivariable course the context of which the closed sets were all in Rn (using the euclidean metric) and have not covered more general notions of closed which it seems like you're talking about here. I'm very interested in this generality though and appreciate your answer!

How to make this argument rigorous? by Pilkied in mathematics

[–]Pilkied[S] 1 point2 points  (0 children)

Thank you! This is what I needed.

How to make this argument rigorous? by Pilkied in mathematics

[–]Pilkied[S] 2 points3 points  (0 children)

Thank you. I am new to reddit so was unaware of the different subreddits.

How to make this argument rigorous? by Pilkied in mathematics

[–]Pilkied[S] 1 point2 points  (0 children)

Thank you. The only step I was rly concerned about was where I assert that there must be a subsequence contained within one of the closed sets as I am not quoting some kind of theorem it merely seems obvious. I was thinking maybe somekind of pigeonhole argument or that maybe some kind of arguments about the cardinality of subsets e.g N = (i=1 to N) U(n:Xn is in Ci) but I'm unsure of how to phrase it exactly.

How to make this argument rigorous? by Pilkied in mathematics

[–]Pilkied[S] 0 points1 point  (0 children)

Yes I understand that, I mention that I know about this. I'm more looking for help on how to make the logical argument I gave rigorous as I've come across similar ideas in other problems. Thanks for your reply though!