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Fix overfull box
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jirilebl committed Jun 8, 2021
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4 changes: 2 additions & 2 deletions ch-one-dim-ints-sv.tex
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Expand Up @@ -1613,9 +1613,9 @@ \subsection{Path independent integrals}
sufficient for a star-shaped $U$.

\begin{proof}
Suppose $U$ is star-shaped with respect to $p=(p_1,p_2,\ldots,p_n) \in U$.
Suppose $U$ is a star-shaped domain with respect to $p=(p_1,p_2,\ldots,p_n) \in U$.
Given $x = (x_1,x_2,\ldots,x_n) \in U$, define the path $\gamma \colon [0,1] \to U$ as
$\gamma(t) := (1-t)p + tx$, so $\gamma^{\:\prime}(t) = x-p$. Then let
$\gamma(t) := (1-t)p + tx$, so $\gamma^{\:\prime}(t) = x-p$. Let
\begin{equation*}
f(x) := \int_{\gamma} \omega
=
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