Reputation
Next tag badge:
720/1000 score
213/200 answers
Badges
16 192 417
Newest
 Good Answer
Impact
~2.2m people reached

Oct
2
answered An uncanny inequality with Gamma function
Oct
2
comment Given $a+b+c=4$ find $\max(ab+ac+bc)$
How do you get $a^2+b^2+c^2\ge ab+ac+bc$?
Oct
2
revised An uncanny inequality with Gamma function
edited tags
Oct
2
comment $\int_{23\pi}^{71\pi/2}\ln \left ( \frac{\left ( 1+\sin x \right )^{1+\cos x}}{1+\cos x} \right )\,dx$
@Anastasiya-Romanova: it is a product. The only way that I have seen a mixed fraction is as $71\frac12$ with a rational fractional part. However, I think mixed fractions are avoided in mathematics because of the inherent confusion.
Oct
2
revised $\int_{23\pi}^{71\pi/2}\ln \left ( \frac{\left ( 1+\sin x \right )^{1+\cos x}}{1+\cos x} \right )\,dx$
fix the limits of integration in the last two integrals
Oct
2
answered $\int_{23\pi}^{71\pi/2}\ln \left ( \frac{\left ( 1+\sin x \right )^{1+\cos x}}{1+\cos x} \right )\,dx$
Oct
2
revised $\int_{23\pi}^{71\pi/2}\ln \left ( \frac{\left ( 1+\sin x \right )^{1+\cos x}}{1+\cos x} \right )\,dx$
fix overflow of bounds
Oct
2
comment Best Fake Proofs? (A M.SE April Fools Day collection)
@DanDascalescu: isn't that just the same idea as the chocolate bar animation below?
Oct
2
answered Given $a+b+c=4$ find $\max(ab+ac+bc)$
Oct
2
comment Is this statement equivalent to Legendre's conjecture?
@JeffreyYoung: answers are not the place to ask new questions; new questions are the perfect place for that. At best this should be a comment to your question.
Oct
2
revised Trig sum: $\tan ^21^\circ+\tan ^22^\circ+…+\tan^2 89^\circ = ?$
add some related results
Oct
2
comment Trig sum: $\tan ^21^\circ+\tan ^22^\circ+…+\tan^2 89^\circ = ?$
Ah, I just saw the part of the question that mentions no complex methods. I will leave this, anyway, as a comparison. $\dfrac{n/z}{z^n-1}$ is a useful function to evaluate sums on $\mathbb{Z}/n\mathbb{Z}$.
Oct
2
revised Trig sum: $\tan ^21^\circ+\tan ^22^\circ+…+\tan^2 89^\circ = ?$
mention the roots of $z^{180}-1$
Oct
2
answered Trig sum: $\tan ^21^\circ+\tan ^22^\circ+…+\tan^2 89^\circ = ?$
Oct
2
awarded  Enlightened
Oct
2
awarded  Nice Answer
Oct
2
revised How to plot $r^2 = 36\cos(2\phi)$ in Cartesian coordinates?
mention which lobe is which
Oct
2
revised How to plot $r^2 = 36\cos(2\phi)$ in Cartesian coordinates?
add image and range restriction
Oct
2
answered How to plot $r^2 = 36\cos(2\phi)$ in Cartesian coordinates?
Oct
1
comment Closed form of arctanlog series
Is there a reason to think it has a closed form? It is definitely less than $\zeta(2)$.