Commit 632b30cb authored by Michael Kohlhase's avatar Michael Kohlhase

debugging

parent e4b10c00
......@@ -9,12 +9,10 @@
Rekursive Definition unter Verwendung der \mtrefi[pellnumbers?Pell-numbers]{Pell-Zahlen}.
\[\halfcompell{n} = \piecewise{\piece[de]1{n=0}\otherwise[de]{\halfcompell{n-1}+2\pellnum{n-1}}}\]
\[\pellnum{n}=\piecewise{\piece[de]0{n=0}\otherwise{\halfcompell{n-1}+\pellnum{n-1}}}\]
Matrixdarstellung:
\begin{eqnarray}
\nmatrix{\nmrow{\halfcompell{n}}\nmrow{\pellnum{n}}} & = & \nmatrix{\nmrow{1,2}\nmrow{1,1}}\\
\nmatrix{\nmrow{\halfcompell{n-1}}\nmnrow{\pellnum{n-1}}} & = & \nmatrix{\nmrow{1,2}\nmrow{1,1}}^n
\nmatrix{\nmrow{1}\nmrow{0}}\\
\nmatrix{\nmrow{\halfcompell{n},2\pellnum{n}}\nmrow{\pellnum{n},\halfcompell{n}}} & = & \nmatrix{\nmrow{1,2}\nmrow{1,1}}^n
\end{eqnarray}
\end{definition}
\end{mhmodnl}
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