The magnitude of the CKM matrix element \documentclass[12pt]{minimal}
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\begin{document}$|{\rm V}_{\rm ub}|$\end{document} is determined by measuring the inclusive charmless semileptonic branching fraction of beauty hadrons at OPAL based on \documentclass[12pt]{minimal}
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\begin{document}$b \to{\rm X}_{\rm u} \ell \nu $\end{document} event topology and kinematics. This analysis uses OPAL data collected between 1991 and 1995, which correspond to about four million hadronic Z decays. We measure Br(\documentclass[12pt]{minimal}
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\begin{document}$b \to{\rm X}_{\rm u} \ell \nu$\end{document}) to be (\documentclass[12pt]{minimal}
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\begin{document}$1.63 \pm 0.53^{+0.55}_{-0.62}) \times 10^{-3}$\end{document}. The first uncertainty is the statistical error and the second is the systematic error. From this analysis, \documentclass[12pt]{minimal}
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\begin{document}$|{\rm V}_{\rm ub}|$\end{document} is determined to be: