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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?