Hier ein kleines Beispiel mit LaTeX.
When \(a \ne 0\), there are two solutions to \(ax^2 + bx + c = 0\) and they are \[x_{1,2} = {-b \pm \sqrt{b^2-4ac} \over 2a}\]
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$\frac{1}{2}$
\({1+1}\over{2}\)
$\pi$
$\mathrm{e}^2$
$\sum$
$\alpha$
${A}\cup{B}$
ℕ
$\mathbb{N} = {\{1,2,3,4,.....\infty}\}$
$\mathbb{Z} = {\{-\infty....,-3,-2,-1,1,2,3,4,.....\infty}\}$
$$ \begin{array}{c|lcr} n & \text{left} & \text{center} & \text{right}\\ \hline 1 & 0,24 & 1 & 125\\ 2 & -1 & 189 & -8\\ 3 & -20 & 2000 & 1 + 10i\\ \end{array} $$
$\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6}$
$\mathrm{MMXVII}$
Tabels:\\
\begin{tabular}{cccccc}
\end{tabular}
Also in diesem Sinne dranbleiben und bekanntlich "macht Übung den Meister, oder?".
\[ \begin{aligned} D &= \begin{vmatrix} 10+j10 & -10 & 0 \\ -10 & 20-j10 & -10 \\ 0 & -10 & 10+j20 \end{vmatrix} =-1000+j4000 \\[12pt] D_1 &= \begin{vmatrix} 10 & -10 & 0 \\ 0 & 20-j10 & -10 \\ 0 & -10 & 10+j20 \end{vmatrix} =3000+j3000 \\[12pt] D_2 &= \begin{vmatrix} 10+j10 & 10 & 0 \\ -10 & 0 & -10 \\ 0 & 0 & 10+j20 \end{vmatrix} =1000+j2000 \\[12pt] D_3 &= \begin{vmatrix} 10+j10 & -10 & 10 \\ -10 & 20-j10 & 0 \\ 0 & -10 & 0 \end{vmatrix} =1000 \end{aligned} \]
