I have this integral: $\int(\epsilon \wedge \|x\|^{2})\nu(dx)$
The $\wedge$ symbol means that I have to integrate $\|x\|^{2}$ when $\|x\|>\epsilon$ or when $\|x\|>1$?
2026-03-29 09:10:28.1774775428
notation - what does this $\wedge$ inside the integral mean?
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The wedge stands for minimum. $a\wedge b=\min\{a,b\}$. The integral is $\int_{\{\|x||^{2} \geq \epsilon\}} \epsilon \nu (dx)+\int_{\{\|x||^{2} < \epsilon\}} \|x\|^{2} \nu (dx)$.