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Jan
24
awarded  Yearling
Dec
21
revised Evaluate:$\int_{l}(z^2+\bar{z}z)dz$
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Dec
21
revised Evaluate:$\int_{l}(z^2+\bar{z}z)dz$
deleted 4 characters in body
Dec
20
revised Evaluate:$\int_{l}(z^2+\bar{z}z)dz$
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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:$\int_{l}(z^2+\bar{z}z)dz$
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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
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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?
Nov
19
comment Finding $\mathrm{vol}(f^{-1}(y))$
There is the co-area formula.
Nov
18
comment polynomial with all roots on the unit circle
I thought they will form a regular polygon, but it is wrong
Nov
17
answered Computing the integral using cauchy's theorem