( Distance ( ( stands ( for ( ( the magnitude ) ( of ( ( the ( distance vector ) ) ( in ( ( the ( comparison space ) ) ( just defined ) ) ) ) ) ) ) ) . ) )
(ROOT (S (NP (NNP Distance)) (VP (VBZ stands) (PP (IN for) (NP (NP (DT the) (NN magnitude)) (PP (IN of) (NP (NP (DT the) (NN distance) (NN vector)) (PP (IN in) (NP (NP (DT the) (NN comparison) (NN space)) (VP (ADVP (RB just)) (VBN defined))))))))) (. .)))
Distance stands for the magnitude of the distance vector in the comparison space just defined.
(ROOT (S (NP (NNP Distance)) (VP (VBZ is) (VP (VBN defined) (PP (IN as) (NP (NP (DT the) (NN magnitude) (CC or) (NN size)) (PP (IN of) (NP (NP (NN displacement)) (PP (IN between) (NP (CD two) (NNS positions))))))))) (. .)))