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Table 1: 

Metrics for Syntactic Complexity of a sentence (the values in braces indicate the corresponding value for the tree in Figure 1).

Syntactic ComplexityExplanation
tree depth the depth of the deepest node {3} 
tree length number of nodes {8} 
mean dependency distance average distance between a head and a dependent. For a dependency linking two adjacent nodes, the distance is equal to one (e.g., nsubj in Figure 1).
{(1 + 2 + 1 + 4 + 1 + 2 + 3)/7 = 2} 
mean flux size average flux size of each inter-word position
{(1 + 1 + 2 + 1 + 2 + 3 + 4)/7 = 2} 
mean flux weight average flux weight of each inter-word position
{(1 + 1 + 1 + 1 + 1 + 1 + 1)/7 = 1} 
mean arity average number of direct dependents of a node
{(0 + 2 + 0 + 2 + 0 + 0 + 0 + 3)/8 = 0.875} 
projectivity True if the sentence has a projective parse tree (there are no crossing dependency edges and/or projection lines) {True
Syntactic ComplexityExplanation
tree depth the depth of the deepest node {3} 
tree length number of nodes {8} 
mean dependency distance average distance between a head and a dependent. For a dependency linking two adjacent nodes, the distance is equal to one (e.g., nsubj in Figure 1).
{(1 + 2 + 1 + 4 + 1 + 2 + 3)/7 = 2} 
mean flux size average flux size of each inter-word position
{(1 + 1 + 2 + 1 + 2 + 3 + 4)/7 = 2} 
mean flux weight average flux weight of each inter-word position
{(1 + 1 + 1 + 1 + 1 + 1 + 1)/7 = 1} 
mean arity average number of direct dependents of a node
{(0 + 2 + 0 + 2 + 0 + 0 + 0 + 3)/8 = 0.875} 
projectivity True if the sentence has a projective parse tree (there are no crossing dependency edges and/or projection lines) {True
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