0,0

$\frac{1-x^{-2}}{\sqrt{2 \pi} \cdot x} \rm{e}$$^{-x^{2} / 2}$

$\leq \rm{Q}$$(x)= \frac{1}{\sqrt{2 \pi}} \int\limits_{x}^{\infty} \rm{e}$$^{-u^2 / 2} \rm{d}$$u \leq$

$\frac{1}{\sqrt{2 \pi} \cdot x} \rm{e}$$^{-x^{2} / 2}$

$\rm{Lower \ Bound \ (LB)}$

$\rm{Q}$$(x)$

$0.5 \cdot \rm{erfc}$$(x)$

$\rm{Upper \ Bound \ (UB)}$

$\rm{linear}$

$\rm{Abscissa}$

$\rm{logarithmic}$

$\rm{linear}$

$\rm{Ordinate}$

$\rm{logarithmic}$

$x =1 \ \ \ \Rightarrow \ \ \ \rho \rm{[dB]} = $ $ 20 \cdot \lg(x) =0$

$\rm{Q}$$(x) =1.5866\cdot 10^{-1}$

$\rm{LB} = $ $0\cdot 10^{-10}$

$\rm{UB} = $ $2.4197\cdot 10^{-1}$

$x=1$

$\rho \ \rm{[dB]} = $ $ 3$

0,0

–o+←↓↑→

$x$

$\rm{Q}$$(x)$

$ 10^{-10}$

$ 10^{-8}$

$ 10^{-6}$

$ 10^{-4}$

$ 10^{-2}$

$ 10^{0}$

0,0

–o+←↓↑→

$x$

$0.5 \cdot \rm{erf}$$(x)$

$10^{-10}$

$10^{-8}$

$10^{-6}$

$10^{-4}$

$10^{-2}$

$10^{0}$

* First select the number $(1, 2, \text{...})$ of the exercise. The number $0$ corresponds to a "Reset": Same setting as at program start.
* A task description is displayed. The parameter values are adjusted. Solution after pressing "Show solution".

Complementary Gaussian Error Functions