Identifying mathematical relations expressed in text is essential to
understanding a broad range of natural language text from election reports, to
financial news, to sport commentaries to mathematical word problems. This paper
focuses on identifying and understanding mathematical relations described
within a single sentence. We introduce the problem of Equation Parsing -- given
a sentence, identify noun phrases which represent variables, and generate the
mathematical equation expressing the relation described in the sentence. We
introduce the notion of projective equation parsing and provide an efficient
algorithm to parse text to projective equations. Our system makes use of a high
precision lexicon of mathematical expressions and a pipeline of structured
predictors, and generates correct equations in $70\%$ of the cases. In $60\%$
of the time, it also identifies the correct noun phrase $\rightarrow$ variables
mapping, significantly outperforming baselines. We also release a new annotated
dataset for task evaluation.

本文讨论了在单个句子中识别和理解数学关系表示的问题，提出了方程式解析的问题，并介绍了一种高效的算法来解析文本到射影方程。我们的系统利用数学表达式的高精度词典和一系列的结构化预测器，在 70% 的情况下可以生成正确的方程，在 60% 的时间里，还可以识别正确的名词短语和变量映射，显著优于基线。我们还发布了一个新的注释数据集以供任务评估。