( ( ( The ( thermal changes ) ) ( in ( the ( mercury volume ) ) ) ) ( ( are ( ( factored out ) ( by ( ( ( simultaneously ( measuring ( ( the temperature ) ( in ( the ( mercury column ) ) ) ) ) ) and ) ( using ( ( the ( expansion coefficient ) ) ( for ( metallic mercury ) ) ) ) ) ) ) ) . ) )
(ROOT (S (NP (NP (DT The) (JJ thermal) (NNS changes)) (PP (IN in) (NP (DT the) (NN mercury) (NN volume)))) (VP (VBP are) (VP (VBN factored) (PRT (RP out)) (PP (IN by) (S (VP (VP (ADVP (RB simultaneously)) (VBG measuring) (NP (NP (DT the) (NN temperature)) (PP (IN in) (NP (DT the) (NN mercury) (NN column))))) (CC and) (VP (VBG using) (NP (NP (DT the) (NN expansion) (NN coefficient)) (PP (IN for) (NP (JJ metallic) (NN mercury)))))))))) (. .)))
The thermal changes in the mercury volume are factored out by simultaneously measuring the temperature in the mercury column and using the expansion coefficient for metallic mercury.
(ROOT (S (NP (DT The) (NN term) (JJ thermal) (NN expansion)) (VP (VBZ is) (VP (VBN used) (S (VP (TO to) (VP (VB describe) (NP (NP (DT the) (NN change)) (PP (IN in) (NP (NN size) (CC or) (NN volume))) (PP (IN of) (NP (NP (DT a) (VBN given) (NN mass)) (PP (IN with) (NP (NN temperature))))))))))) (. .)))