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The concept of dimension is important because every mathematical equation linking physical quantities must be dimensionally consistent, implying that mathematical equations must meet the following two rules. The first rule is that, in an equation, the expressions on each side of the equal sign must have the same dimensions. This is fairly intuitive since we can only add or subtract quantities of the same type (dimension). The second rule states that, in an equation, the arguments of any of the...
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Extracting Contextual Semantic from a Concordance Containing Mathematical Definition.

Akashdeep Bansal1, Volker Sorge2, Meenakshi Balakrishnan1

  • 1IIT Delhi, India.

Studies in Health Technology and Informatics
|August 28, 2023
PubMed
Summary

This study introduces a Semantic Extractor module to improve audio rendering for mathematical equations. It extracts contextual meaning from text, enabling clearer audio representation for screen reader users.

Keywords:
Audio RenderingCognitive loadContextual SemanticEquationSyntactic RenderingVisually Impaired

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Area of Science:

  • Computer Science
  • Mathematics
  • Accessibility Technology

Background:

  • Screen reading software is increasingly used for digital documents.
  • Linear audio rendering of mathematical equations poses cognitive challenges and interpretation difficulties, especially for complex expressions.
  • Current methods struggle with accurate and contextually relevant audio representation of mathematical content.

Purpose of the Study:

  • To develop a module for extracting contextual semantics of mathematical expressions.
  • To enhance the accessibility of electronic mathematics documents through improved audio rendering.
  • To move beyond purely syntactic audio rendering by incorporating semantic understanding.

Main Methods:

  • Development of a Semantic Extractor module.
  • Extraction of mathematical expression semantics from surrounding text and concordances.
  • Utilizing valid mathematical definitions to inform semantic extraction.

Main Results:

  • The Semantic Extractor module successfully extracts contextual semantics from mathematical expressions.
  • The approach facilitates contextually aware audio rendering, improving interpretation.
  • Demonstrated a method to overcome limitations of purely syntactic audio rendering.

Conclusions:

  • The Semantic Extractor module is a key component for contextually aware audio rendering of mathematical expressions.
  • This approach significantly enhances the accessibility of complex mathematical documents for users of screen reading software.
  • Future work will integrate this module into a broader system for comprehensive audio rendering solutions.