Add GPT4 explanation of Fibonacci proofs

dandavison · Mar 21, 2023 · 8a3e931 · 8a3e931
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diff --git a/img/discrete-math--combinatorics-82c2.png b/img/discrete-math--combinatorics-82c2.png
diff --git a/...es-and-fields--computing-the-n-th-fibonacci-number-generating-function-03cb.png b/...es-and-fields--computing-the-n-th-fibonacci-number-generating-function-03cb.png
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diff --git a/...es-and-fields--computing-the-n-th-fibonacci-number-generating-function-d6da.png b/...es-and-fields--computing-the-n-th-fibonacci-number-generating-function-d6da.png
diff --git a/...es-and-fields--computing-the-n-th-fibonacci-number-generating-function-e844.png b/...es-and-fields--computing-the-n-th-fibonacci-number-generating-function-e844.png
diff --git a/...es-and-fields--computing-the-n-th-fibonacci-number-generating-function-eaaa.png b/...es-and-fields--computing-the-n-th-fibonacci-number-generating-function-eaaa.png
diff --git a/...es-and-fields--computing-the-n-th-fibonacci-number-generating-function-f048.png b/...es-and-fields--computing-the-n-th-fibonacci-number-generating-function-f048.png
diff --git a/linear-algebra.tex b/linear-algebra.tex
@@ -1098,6 +1098,22 @@ \section{Computing the n-th Fibonacci number: generating function}
 Maybe we should think about the corresponding projection of $P$ and $Q$?
 
 
+\begin{mdframed}
+\includegraphics[width=400pt]{img/linear-algebra--vector-spaces-and-fields--computing-the-n-th-fibonacci-number-generating-function-26b7.png}
+\begin{mdframed}
+\includegraphics[width=400pt]{img/linear-algebra--vector-spaces-and-fields--computing-the-n-th-fibonacci-number-generating-function-03cb.png}
+\begin{mdframed}
+\includegraphics[width=400pt]{img/linear-algebra--vector-spaces-and-fields--computing-the-n-th-fibonacci-number-generating-function-f048.png}
+\begin{mdframed}
+\includegraphics[width=400pt]{img/linear-algebra--vector-spaces-and-fields--computing-the-n-th-fibonacci-number-generating-function-535e.png}
+\begin{mdframed}
+\includegraphics[width=400pt]{img/linear-algebra--vector-spaces-and-fields--computing-the-n-th-fibonacci-number-generating-function-63d4.png}
+\begin{mdframed}
+\includegraphics[width=400pt]{img/linear-algebra--vector-spaces-and-fields--computing-the-n-th-fibonacci-number-generating-function-eaaa.png}
+\begin{mdframed}
+\includegraphics[width=400pt]{img/linear-algebra--vector-spaces-and-fields--computing-the-n-th-fibonacci-number-generating-function-e844.png}
+\end{mdframed}\end{mdframed}\end{mdframed}\end{mdframed}\end{mdframed}\end{mdframed}\end{mdframed}
+
 
 {\bf Check:}
 
@@ -1226,6 +1242,9 @@ \section{Computing the n-th Fibonacci number: generating function}
 
 
 
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 \section{Finding the nth Fibonacci number via an eigenvector change of basis}