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--git a/chapters/chap1.tex b/chapters/chap1.tex index c6bc7b7..5459d9d 100644 --- a/chapters/chap1.tex +++ b/chapters/chap1.tex @@ -505,10 +505,7 @@ Then we have bound for Lipschitz constant $\eta$ of the map $S(\varphi_A): \math \end{lemma} \begin{proof} - The proof use lagrange multiplier method to find the maximum of the gradient of $S(\varphi_A)$. - % - TODO: use lagrange multiplier method to find the maximum of the gradient of $S(\varphi_A)$. - % + Consider the Lipschitz constant of the function $g:A\otimes B\to \R$ defined as $g(\varphi)=H(M(\varphi_A))$, where $M:A\otimes B\to \mathcal{P}(A)$ is the complete von Neumann measurement and $H: \mathcal{P}(A)\otimes \mathcal{P}(B)\to \R$ is the Shannon entropy. \end{proof} From Levy's lemma, we have diff --git a/snippets/compile.sh b/snippets/compile.sh new file mode 100644 index 0000000..8c4be78 --- /dev/null +++ b/snippets/compile.sh @@ -0,0 +1,50 @@ +#!/bin/bash + +set -e + +echo "Starting batch processing of .tex files in chapters/ directory" +echo "===============================================================" + +total_files=$(find chapters -name "*.tex" -type f | wc -l) +processed_files=0 + +if [[ $total_files -eq 0 ]]; then + echo "No .tex files found in chapters/ directory" + exit 0 +fi + +echo "Found $total_files .tex file(s) to process" +echo "" + +for texfile in chapters/*.tex; do + if [[ -f "$texfile" ]]; then + processed_files=$((processed_files + 1)) + base="${texfile%.*}" + filename=$(basename "$texfile") + + echo "[$processed_files/$total_files] Processing: $filename" + echo " └─ Running biber on $base..." + if biber "$base" 2>&1 | tee -a "$base.biber.log"; then + echo " └─ Biber completed successfully" + else + echo " └─ ERROR: Biber failed for $filename" + echo " Check $base.biber.log for details" + exit 1 + fi + + echo " └─ Running pdflatex on $filename..." + if pdflatex -interaction=nonstopmode "$texfile" 2>&1 | tee -a "$base.pdflatex.log"; then + echo " └─ pdflatex completed successfully" + else + echo " └─ ERROR: pdflatex failed for $filename" + echo " Check $base.pdflatex.log for details" + exit 1 + fi + + echo " └─ Finished processing $filename" + echo "" + fi +done + +echo "===============================================================" +echo "Batch processing complete: Successfully processed $processed_files/$total_files file(s)"