( ( These properties ) ( ( have ( been ( shown ( to ( be ( diamondiferous ( by ( extensive sampling ) ) ) ) ) ) ) ) . ) )
(ROOT (S (NP (DT These) (NNS properties)) (VP (VBP have) (VP (VBN been) (VP (VBN shown) (S (VP (TO to) (VP (VB be) (ADJP (JJ diamondiferous) (PP (IN by) (NP (JJ extensive) (NN sampling)))))))))) (. .)))
These properties have been shown to be diamondiferous by extensive sampling.
(ROOT (S (NP (DT The) (JJ extensive) (NN property)) (VP (VBZ is) (NP (NP (DT a) (NN property)) (SBAR (WHNP (WDT that)) (S (VP (VBZ depends) (PP (IN on) (NP (NP (DT the) (NN amount)) (PP (IN of) (NP (NP (NN matter)) (PP (IN in) (NP (DT a) (NN sample)))))))))))) (. .)))
The extensive property is a property that depends on the amount of matter in a sample.