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Oct
16
comment How can I find a point where an osculating circle goes through a certain point?
@Lays I couldn't find an answer to my question on the page you linked. Please note, that $P$ usually does not lay on $f$.
May
9
comment How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$?
@CutieKrait We defined $\sin$ by geometrical means.
Apr
2
comment Why is it impossible to define multiplication in Presburger arithmetic?
Ah, I see. Thank you for this answer.
Mar
31
comment Why is it impossible to define multiplication in Presburger arithmetic?
@MJD How are these axioms?
Mar
31
comment Why is it impossible to define multiplication in Presburger arithmetic?
@MJD Presburger arithmetic is an axiomatic system. People claim that it is impossible to define multiplication within this system. Why?
Sep
8
comment The inverse of the inscribed angle theorem
I am sorry. I usually don't ignore the orientation of angles. I should've made that clear beforehand.
Sep
8
comment The inverse of the inscribed angle theorem
Nice and easy. Thank you!
Sep
8
comment The inverse of the inscribed angle theorem
In the second case, the sign of the angle $\angle ACB$ is negative. The equation $2\angle ACB=\angle AMB$ does not holds if the signs do not match.
Sep
8
comment The inverse of the inscribed angle theorem
@Karolis I fixed the error. My bad :-(
Sep
8
comment The inverse of the inscribed angle theorem
@KarolisJuodelė No. C can be anywhere but the constraint on the angle $\angle ACB$ must hold.
Jun
21
comment Evaluating $\int_0^{\sqrt{3}}{\frac{\sqrt{1+x^2}}{x}}\,dx$
Try wolframalpha.com for evaluating integrals. It even shows a step-by-step-solution!
Jun
21
comment Given a Turing Machine T, create another Turing machine T2 such that L(T) $\neq$ L(T2)
Theorem of rice?
Jun
21
comment An equivalent statement for convergence
@clark Didn't knew that. Thanks for pointing that out! Please close my question.
Mar
11
comment How to come up with the gamma function?
Okay. Thank you!
Mar
11
comment How to come up with the gamma function?
YOur first interpretion is right. But your answer shows only that the integral satisfies the recurrence relation $\Gamma(x+1)=x\Gamma(x)$ and does not show how one can derive that integral.
Mar
11
comment How to come up with the gamma function?
Thank you for that answer although you don't point out how one get's to $\int_0^\infty t^ne^{-1}\;\mathrm dt$.
Mar
11
comment How to come up with the gamma function?
Sorry. I found out that the article actually contains an answer to my question, thus I removed my post.
Feb
26
comment How does one easily compute the limit of $a_n=(n\cdot \ln(\frac{n+1}{n}))^n$?
As $n$ goes to what?
Feb
16
comment $y''=(y')^{3} e^{y}$, some easy way to solve this non-linear differential equation?
Did you tried using Wolfram Alpha? It can also shows you a step-by-step solution.
Jan
17
comment Question about a lemma on continuity
@Arturo Sorry. That was a translation mistake. In German, one says "stetig" to say "continuous". stetig and steady are false friends...