Symbolic Configurations and Two-Dimensional Mathematical Notation
In this paper a mathematical model is presented for defining the morphology and syntax of displayed mathematical expressions -- two-dimensional mathematical notation such as matrices, stacked fractions, and summation notation that are not usually written on a single line but displayed in text. A mathematical object, called a configuration, is used to model the spatial patterns or shapes in displayed mathematics. A rewriting system, called a configuration grammar, enables the description of the syntactic structure of displayed mathematics. Parsing procedures can be used with context-free configuration grammars and automatic character recognizers to interpret two-dimensional notations appearing in digitized images.
KeywordsMathematical Expression Mathematical Object Lower Left Hand Corner Symbolic Configuration Integral Symbol
Unable to display preview. Download preview PDF.
- Anderson, R. H., 1977, Two-Dimensional Mathematical Notation, in: “Syntactic Pattern Recognition Applications,” K.S. Fu, ed., Springer-Verlag, New York.Google Scholar
- Rosenfeld, A., 1979, “Picture Languages: Formal Models for Picture Recognition,” Academic Press, New York.Google Scholar
- Underwood, W. E., 1980, “Configuration Grammars and Automata for the Definition of Displayed Mathematical Expressions,” Ph.D. Dissertation, University of Maryland, College Park.Google Scholar