Observement as Universal Measurement

12/07/2020
by   David G. Green, et al.
0

Measurement theory is the cornerstone of science, but no equivalent theory underpins the huge volumes of non-numerical data now being generated. In this study, we show that replacing numbers with alternative mathematical models, such as strings and graphs, generalises traditional measurement to provide rigorous, formal systems (`observement') for recording and interpreting non-numerical data. Moreover, we show that these representations are already widely used and identify general classes of interpretive methodologies implicit in representations based on character strings and graphs (networks). This implies that a generalised concept of measurement has the potential to reveal new insights as well as deep connections between different fields of research.

READ FULL TEXT
research
01/16/2021

Binary strings of finite VC dimension

Any binary string can be associated with a unary predicate P on ℕ. In th...
research
11/06/2018

Tunneling on Wheeler Graphs

The Burrows-Wheeler Transform (BWT) is an important technique both in da...
research
09/24/2019

Deep Generative Model for Sparse Graphs using Text-Based Learning with Augmentation in Generative Examination Networks

Graphs and networks are a key research tool for a variety of science fie...
research
12/14/2022

Efficient Non-isomorphic Graph Enumeration Algorithms for Subclasses of Perfect Graphs

Intersection graphs are well-studied in the area of graph algorithms. So...
research
05/13/2017

Žampa's systems theory: a comprehensive theory of measurement in dynamic systems

The article outlines in memoriam Prof. Pavel Žampa's concepts of system ...
research
08/10/2019

Large Scale Geometries of Infinite Strings

We introduce geometric consideration into the theory of formal languages...
research
02/08/2017

Character-level Deep Conflation for Business Data Analytics

Connecting different text attributes associated with the same entity (co...

Please sign up or login with your details

Forgot password? Click here to reset