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[]\OT1/ptm/m/n/12 If we let $\OML/cmm/m/it/12 X[] \OMS/cmsy/m/n/12 ^^X \OML/cmm
/m/it/12 ^^Y$\OT1/ptm/m/n/12 , i.e. $\OML/cmm/m/it/12 P\OT1/cmr/m/n/12 (\OML/cm
m/m/it/12 X[] \OT1/cmr/m/n/12 = \OML/cmm/m/it/12 j\OT1/cmr/m/n/12 ) =
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[][] \OML/cmm/m/it/12 P\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 B[]\OT1/cmr/m/n/12 )\O
ML/cmm/m/it/12 P\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 A\OMS/cmsy/m/n/12 j\OML/cmm/m
/it/12 B[]\OT1/cmr/m/n/12 )$ \OT1/ptm/m/n/12 if $\OMS/cmsy/m/n/12 f\OML/cmm/m/i
t/12 B[]\OMS/cmsy/m/n/12 g$ \OT1/ptm/m/n/12 par-ti-tion $\OML/cmm/m/it/12 S$\OT
1/ptm/m/n/12 . So
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[]\OT1/ptm/m/n/12 The dif-fer-ence be-tween MCMC and a sim-ple
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