( ( The half-life ) ( for ( ( the decay ) of ) ) )
(ROOT (NP (NP (DT The) (NN half-life)) (PP (IN for) (NP (NP (DT the) (NN decay)) (PP (IN of))))))
The half-life for the decay of
(ROOT (S (NP (DT The) (NN decay) (NN rate)) (VP (VBZ is) (VP (VBN measured) (PP (IN in) (NP (NP (DT a) (NN unit)) (VP (VBN called) (NP (DT the) (NN half-life))))))) (. .)))