Ultrametric Distance in Syntax



must

jump high.

Figure 5: The 4-ary tree for “Alf must jump high”


Alf

and finally there is one 4-ary tree (compare Haegeman (1994) p.142 [13] dia-
gram 84f) with diagram
Figure 5 and matrix:

A

M

J

H

A

0

1

1

1

Eighth =

M

.

0

1

1

J

.

.

0

1

H

.

.

.

0


(14)


2.2 Triangle representation of the proceeding

All ultrametric triangles are isosceles with small base, but only some are equi-
lateral. The previous subsection 2.1 suggests that binary branching implies that
there are no equilateral triangles in ultrametric models of syntax. For example
from matrix (13),
d(A, M) = 1, d(A, J) = 2, d(M, J) = 2 has the triangle repre-
sentation
Figure 6, and from matrix 14, d(A, M) = 1, d(A, J) = 1, d(M, J) = 1
giving in the triangle representation
Figure 7. In the next section it is proved
that JX structure implies that there are no equilateral triangles.

__ -ZT- ___

2.3 The X Template

The JX template Figure 8 is the form that nodes take in syntax. The matrix
representation of this is:

Spec X Y P

Spec   0   i + 2 i + 2

(15)


This is isosceles but not


X     .     0   i+1

YP .       .      0

From this the triangle representation is Figure 9.

equilateral.



More intriguing information

1. The Institutional Determinants of Bilateral Trade Patterns
2. The name is absent
3. Testing Gribat´s Law Across Regions. Evidence from Spain.
4. The Triangular Relationship between the Commission, NRAs and National Courts Revisited
5. The name is absent
6. Barriers and Limitations in the Development of Industrial Innovation in the Region
7. Workforce or Workfare?
8. The name is absent
9. Chebyshev polynomial approximation to approximate partial differential equations
10. Performance - Complexity Comparison of Receivers for a LTE MIMO–OFDM System