Nikita Evseev
Reputation
1,440
Next privilege 2,000 Rep.
 Mar 27 awarded Booster Mar 10 comment Let $X$ and $Y$ be random variables with a discrete joint distribution, and let $Z = r(x, y)$ for some function $r$. Should it be $Z=r(X,Y)$ ? Feb 24 revised Computing the integral using cauchy's theorem more formal Jan 24 awarded Yearling Dec 21 revised Evaluate:$\int_{l}(z^2+\bar{z}z)dz$ deleted 4 characters in body Dec 21 revised Evaluate:$\int_{l}(z^2+\bar{z}z)dz$ deleted 4 characters in body Dec 20 revised Evaluate:$\int_{l}(z^2+\bar{z}z)dz$ added 100 characters in body Dec 20 comment Evaluate:$\int_{l}(z^2+\bar{z}z)dz$ @MartinR, you are right $dz = ie^{i\theta}d\theta$ Dec 20 revised Evaluate:$\int_{l}(z^2+\bar{z}z)dz$ added 142 characters in body Dec 20 comment Evaluate:$\int_{l}(z^2+\bar{z}z)dz$ Note that $r=1$. Dec 20 answered Evaluate:$\int_{l}(z^2+\bar{z}z)dz$ Dec 5 comment Is there a difference between Brownian motion and Standard Brownian motion? I think the standard Brownian is that $B_0=0$. Dec 5 comment Show that the characteristic function of $\mathbb{Q}$ is Lebesgue integrable. The standard argument is that this function is 0 almost everywhere. Dec 3 comment Am I calculating this complex integral correctly? Note that $\int_0^{2\pi}8\cos^3(t)\sin(t)dt=0$, the remain integral $8i\int_0^{2\pi}\cos^4(t)dt$ is not so hard. Nov 27 revised Surprising identities / equations added 136 characters in body Nov 27 awarded Nice Answer Nov 27 awarded Tenacious Nov 24 comment Trying to evaluate an improper integral using the methods of complex analysis How do you know that $f(z) = Im (g(z))$? Nov 23 comment How to evaluate the contour integral $\int_{C(0,1)} \frac{z e^z }{\tan^2 z}dz$ over the unit circle? @Kamil No, I just multiply all the staff in mind. Also note that $\frac{1}{(z - z^3/6+\dots)^2} = \frac{1}{z^2}(1+z^2/3+\dots)$. Nov 23 answered How to evaluate the contour integral $\int_{C(0,1)} \frac{z e^z }{\tan^2 z}dz$ over the unit circle?