Antisymmetry of textures

The antisymmetry of distortions

Distortions are ubiquitous in nature. Under perturbations such as stresses, fields or other changes, a physical system reconfigures by following a path from one state to another; this path, often a collection of atomic trajectories, describes a distortion. Here we introduce an antisymmetry operation called distortion reversal that reverses a distortion pathway. The symmetry of a distortion path...

Mackay Antisymmetry Space Groups

By using the antisymmetry characteristic method implemented in computer programs written in Mathematica 4, from 230 space symmetry groups are derived 1191 Mackay groups of the type M1, 5005 groups of the type M2, 19467 groups of the type M3, 72587 groups of the type M4, 191728 groups of the type M5, and 598752 groups of the type M6. Mackay groups are the minimal representation of Zamorzaev’s mu...

Notes on the Antisymmetry of Syntax

In what proved to be probably the most influential Principles-andParameters manuscript of the last year, Kayne (1993) has proposed 1) a Linear Correspondence Axiom which together with a particular definition of (asymmetric) c-command is supposed to allow only SVO and OVS as underlying word orders and 2) an abstract beginning node asymmetrically ccommanding all other nodes which is supposed to f...

Markedness, antisymmetry and complexity of constructions

Our concern in this paper is with the interactions between language change, language acquisition, markedness, and computational complexity of mappings between grammatical representations. We demonstrate through a computational simulation of language change that markedness can produce ‘gaps’ in the distribution of combinations of linguistic features. Certain combinations will not occur, simply b...

On Unifying Antisymmetry and Bare Phrase Structure