Advanced

Transformation of a word model to a numeric structure

Bierschenk, Bernhard LU (2001)
Abstract
This paper presents an invariant formulation and analysis of the Agent-action-Objective (AaO) kinematics in terms of David Hestenes theory of rotational dynamics. Accordingly, the term invariant refers to a coordinate-free establishment of structure. Its major aim is to make evident that Natural Language employs its own intrinsic systems of coordinates, but these are generally unknown. In particular, the presented results give weight to the hypothesis that rotational dynamics is basic to the effects that selective textual movement patterns have on the evolution of text. In particular, the paper is focusing on the application of rotational dynamics and on a geometric description of text building behaviour. In adopting some basic concepts of... (More)
This paper presents an invariant formulation and analysis of the Agent-action-Objective (AaO) kinematics in terms of David Hestenes theory of rotational dynamics. Accordingly, the term invariant refers to a coordinate-free establishment of structure. Its major aim is to make evident that Natural Language employs its own intrinsic systems of coordinates, but these are generally unknown. In particular, the presented results give weight to the hypothesis that rotational dynamics is basic to the effects that selective textual movement patterns have on the evolution of text. In particular, the paper is focusing on the application of rotational dynamics and on a geometric description of text building behaviour. In adopting some basic concepts of Hestenes theory of “invariant body kinematics”, textual movement patterns have been studied in the form of an English text example. A scalar component is introduced in the form of radians. These are corresponding to the rotations in the A- as well as in the O-component of the established AaO-mechanism. Three more coefficients relate to the “spinors” that are specifying the unique orientation of a particular rotation. It is shown that direction and the rotational angle carry more ecological validity than can be reflected through all methodological distinctions of the classical approaches to the measurement and representation of systems. In contrast, the presented method gives a precise measure of “attitude” change in the evolutionary development of text. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Working Paper
publication status
published
subject
project
Human Resources in Work Life
language
English
LU publication?
yes
id
6b96d006-505b-4be7-8e81-96e7f39c14cc (old id 955345)
date added to LUP
2008-01-25 15:01:09
date last changed
2016-04-16 12:41:53
@misc{6b96d006-505b-4be7-8e81-96e7f39c14cc,
  abstract     = {This paper presents an invariant formulation and analysis of the Agent-action-Objective (AaO) kinematics in terms of David Hestenes theory of rotational dynamics. Accordingly, the term invariant refers to a coordinate-free establishment of structure. Its major aim is to make evident that Natural Language employs its own intrinsic systems of coordinates, but these are generally unknown. In particular, the presented results give weight to the hypothesis that rotational dynamics is basic to the effects that selective textual movement patterns have on the evolution of text. In particular, the paper is focusing on the application of rotational dynamics and on a geometric description of text building behaviour. In adopting some basic concepts of Hestenes theory of “invariant body kinematics”, textual movement patterns have been studied in the form of an English text example. A scalar component is introduced in the form of radians. These are corresponding to the rotations in the A- as well as in the O-component of the established AaO-mechanism. Three more coefficients relate to the “spinors” that are specifying the unique orientation of a particular rotation. It is shown that direction and the rotational angle carry more ecological validity than can be reflected through all methodological distinctions of the classical approaches to the measurement and representation of systems. In contrast, the presented method gives a precise measure of “attitude” change in the evolutionary development of text.},
  author       = {Bierschenk, Bernhard},
  language     = {eng},
  title        = {Transformation of a word model to a numeric structure},
  year         = {2001},
}