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Added elementary facts about conve functions.
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Bokuan Li
2026-06-23 22:38:23 -04:00
parent c3751d034f
commit 8b5da0b349
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src/measure/notation.tex
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@@ -8,6 +8,7 @@
$\sigma(\mathcal{E})$ & $\sigma$-algebra generated by $\mathcal{E}$. & \autoref{definition:generated-sigma-algebra} \\
$\lambda(\mathcal{E})$ & $\lambda$-system generated by $\mathcal{E}$. & \autoref{definition:generated-lambda-system} \\
$\sigma \otimes \tau$ & Product of ideals. & \autoref{definition:product-ideal} \\
$\text{epi}(f)$ & Epigraph of $f$. & \autoref{definition:epigraph} \\
% ---- Measure Theory ----
$\mathcal{B}_X$ & Borel $\sigma$-algebra on $X$. & \autoref{definition:borel-sigma-algebra} \\
$\sigma(\{f_i \mid i \in I\})$ & $\sigma$-algebra generated by the maps $\{f_i\}$. & \autoref{definition:generated-sigma-algebra-function} \\