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Mar
24
comment Are there any geometric interpretations to uniform continuity?
@JulienClancy Yes, I actually think that is the best thing of mathematics (when outcomes of formality that looked like the intuitive thing at first, are so weird)
Mar
24
comment Are there any geometric interpretations to uniform continuity?
@JulienClancy Although we always have this pathologic (very interesting) cases, I think that intuitive interpretations for this things are important too.
Mar
22
accepted Arithmetic progression topology
Mar
22
comment Arithmetic progression topology
@kahen Thanks, I'll read about it.
Mar
22
asked Arithmetic progression topology
Mar
22
comment How did Euler prove the Mersenne number $2^{31}-1$ is a prime so early in history?
They didn't compute every single possibibility, like we would do with a computer nowadays. Note that some mersenne numbers were found before smaller ones. For example, $M_{127}$ was found to be prime before $M_{61}$, $M_{89}$ and $M_{107}$. So they probably did it in a different way. Read this: en.wikipedia.org/wiki/Mersenne_prime for some primality tests on mersenne numbers.
Mar
22
accepted Are these open sets?
Mar
22
comment Are these open sets?
Thanks for the different approach. Really simple proof. Thanks again! I'm accepting this answer (all 3 were just perfect, there's no really reasonable reason for that)
Mar
22
comment Are these open sets?
Thanks, so that's really what I did in my EDIT part of the question, plus for unbounded sequences of $b_i$.
Mar
22
comment Are these open sets?
@FrankMcGovern You opened my eyes :) Thanks!
Mar
22
asked Are these open sets?
Mar
16
revised ZF+Induction is Inconsistent?
change epislons to ins for better understandings
Mar
16
comment ZF+Induction is Inconsistent?
@RussellEasterly Then I've proposed an edition, the $\LaTeX$ for $\in$ is \in
Mar
16
suggested approved edit on ZF+Induction is Inconsistent?
Mar
16
answered Given order of x find order of
Mar
15
comment ZF+Induction is Inconsistent?
Only one question, is $x\epsilon y$ some standard language in set theory instead of $x\in y$?, because it took some time to really understand that $P(x)$.
Mar
12
awarded  Tumbleweed
Mar
10
comment Intuition behind $\nabla \times \mathbf{F}$
I remember him doing just the opposite, something about drawing crystal tubes in a fluid and seeing what it happened to the fluid int he tube and how it's related to the curl.
Mar
10
comment Intuition behind $\nabla \times \mathbf{F}$
A really good intuitive explanation is the one Feynman gives in the first chapters of his second volume of "Lectures in Physics". The first two chapters are about vector calculus, and he explains this stuff really good.
Mar
10
comment How to win a game like this?
@MichaelGreinecker I honestly haven't studied game theory very formally... Then the 0 is the Nash equilibrium of the game, isn't it? The state in which no player will want to change strategy?