3 (? ? ?)? = (v st ? X su ) ? (v st ? X ut )(? ? ?)? but we can not conclude that this is equal to ((v X) su ? (v X) ut )?. Our construction, as explained after formula (5.3), is not purely algebraic but is based on a (non-canonical) choice of genealised Young integrals with respect to the rough path X. Moreover our transformation group, vol.1 ,
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