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seen Sep 28 at 10:38

0x2B | ~0x2B


Sep
24
awarded  Autobiographer
Aug
3
awarded  Critic
Jan
24
comment Are half of all numbers odd?
Thanks, I did not know the prime number theorem.
Jan
24
comment Are half of all numbers odd?
What can be said about the asymptotic density of prime numbers?
Oct
27
comment a circle graph is not a function?
Ah, ok, you mean $\pm y = (+y, -y)$, so you would have a function $f:\mathbb{R}\rightarrow \mathbb{R}\times\mathbb{R}$.
Oct
27
revised a circle graph is not a function?
added 436 characters in body
Oct
27
comment a circle graph is not a function?
Yes, but $y = \pm \sqrt{1 - x^2}$ is not a function.
Oct
27
revised a circle graph is not a function?
added 18 characters in body
Oct
27
comment a circle graph is not a function?
I would not say that an equation is function: an equation can define a function. Both an equation and a function can define a curve on the plane, but some equations do not have an associated function.
Oct
27
answered a circle graph is not a function?
Sep
17
comment What's wrong with my proof of infinitely many primes of the form $am+b$, $\gcd(a, b) = 1$
For all integers $a$, $b$, $m$ and $GCD(a, b) = 1$, there are infinitely many primes of the form $am + b$. Is this written correctly? Shouldn't it read: There are infinitely many primes $p$ such that there exist $a$, $b$, $m$ for which $GCD(a, b) = 1$ and $p = am + b$.
Sep
8
comment What is your favorite application of the Pigeonhole Principle?
@Brandon Carter and Ilmari Karonen: yes, Ilmari 's formulation is correct. My mistake. Thanks.
Sep
8
comment What is your favorite application of the Pigeonhole Principle?
+1 Thanks for the feedback and the link.
Sep
8
comment What is your favorite application of the Pigeonhole Principle?
Did you mean: "it's not very hard to construct formal languages which are not pumpable, but which can be easily shown to be non-regular using the pigeonhole principle."?
Sep
8
awarded  Editor
Sep
8
revised What is your favorite application of the Pigeonhole Principle?
added 3 characters in body
Sep
8
awarded  Teacher
Sep
7
awarded  Supporter
Sep
7
answered What is your favorite application of the Pigeonhole Principle?