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Oct
17
accepted Uniform distribution on the unit circle (in the complex plane)
Oct
17
comment Uniform distribution on the unit circle (in the complex plane)
Another interesting thing of the equation $$E[f(Z)]=\frac{1}{2\pi i}\int_{S^1}{\frac{f(z)}{z}}dz$$ is, that it is quite near the Cauchy's integral formula, which says that for a function $f$ holomorphic in a neighborhood of $S^1$ $$f(0)=\frac{1}{2\pi i}\int_{S^1}{\frac{f(z)}{z}}dz$$ However, this might be just because both formulas rely on the parametrization of the unit circle...
Oct
17
answered Uniform distribution on the unit circle (in the complex plane)
May
30
awarded  Yearling
Dec
16
awarded  Caucus
Sep
24
awarded  Autobiographer
Jul
2
awarded  Curious
May
30
awarded  Yearling
May
30
awarded  Yearling
May
30
awarded  Civic Duty
May
26
awarded  Informed
May
20
comment The value of $\lim_{x\to +\infty} \dfrac{e^{x^2}}{10^{|x|}}$
You probably mean $k=\ln(10)$...
May
18
awarded  Constituent
May
10
awarded  Caucus
Feb
7
reviewed Satisfactory Find the coordinates of a point on a circle
Feb
7
reviewed Excellent Limit Computation of $(e^x+x)^{1/x}$ as $x$ approaches zero
Feb
7
reviewed Satisfactory Logic about systems?
Feb
7
reviewed Excellent An entire function with two periods
Feb
7
reviewed Satisfactory Congruence relationship used for primitive residue classes modulo n result
Feb
4
awarded  Custodian