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Symbol Declarations in Mathematical Writing

Wolska, MagdalenaGrigore, Mihai — 2010

Towards a Digital Mathematics Library. Paris, France, July 7-8th, 2010

We present three corpus-based studies on symbol declaration in mathematical writing. We focus on simple object denoting symbols which may be part of larger expressions. We look into whether the symbols are explicitly introduced into the discourse and whether the information on once interpreted symbols can be used to interpret structurally related symbols. Our goal is to support fine-grained semantic interpretation of simple and complex mathematical expressions. The results of our analysis empirically...

Using Discourse Context to Interpret Object-Denoting Mathematical Expressions

Wolska, MagdalenaGrigore, MihaiKohlhase, Michael — 2011

Towards a Digital Mathematics Library. Bertinoro, Italy, July 20-21st, 2011

We present a method for determining the context-dependent denotation of simple object-denoting mathematical expressions in mathematical documents. Our approach relies on estimating the similarity between the linguistic context within which the given expression occurs and a set of terms from a flat domain taxonomy of mathematical concepts; one of 7 head concepts dominating a set of terms with highest similarity score to the symbol’s context is assigned as the symbol’s interpretation. The taxonomy...

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