( ( ( ( Apply ( ( the algebra ) ( of ( dimensional analysis ) ) ) ) and ) ( perform ( ( conversions ( between ( British ( and ( metric systems ) ) ) ) ) ( of measurement ) ) ) ) . )
(ROOT (S (VP (VP (VB Apply) (NP (NP (DT the) (NN algebra)) (PP (IN of) (NP (JJ dimensional) (NN analysis))))) (CC and) (VP (VB perform) (NP (NP (NNS conversions)) (PP (IN between) (NP (JJ British) (CC and) (JJ metric) (NNS systems))) (PP (IN of) (NP (NN measurement)))))) (. .)))
Apply the algebra of dimensional analysis and perform conversions between British and metric systems of measurement.
(ROOT (S (NP (JJ Dimensional) (NN analysis)) (VP (VBZ is) (VP (VBN used) (S (VP (TO to) (VP (VB carry) (PRT (RP out)) (NP (JJ metric) (NN unit) (NNS conversions))))))) (. .)))