Previous |  Up |  Next


mathematical discourse; EgoMath
The WWW became the main resource of mathematical knowledge. Currently available full text search engines can be used on these documents but they are deficient in almost all cases. By applying axioms, equal transformations, and by using different notation each formula can be expressed in numerous ways. Most of these documents do not contain semantic information; therefore, precise mathematical interpretation is impossible. On the other hand, semantic information can help to give more precise information. In this work we address these issues and present a new technique how to search for mathematical formulae in real-world mathematical documents, but still offering an extensible level of mathematical awareness. It exploits the advantages of full text search engine and stores each formula not only once but in several generalised representations. Because it is designed as an extension, any full text search engine can adopt it. Based on the proposed theory we developed EgoMath — new mathematical search engine. Experiments with EgoMath over two document sets, containing semantic information, showed that this technique can be used to build a fully-fledged mathematical search engine.
1. Egothor v2 search engine.
2. Zhao, J., Kan, M., Theng, Y. L.: Math Information Retrieval: User Requirements and Prototype Implementation. To appear in JCDL ’08, Pennsylvania (2008).
3. Kohlhase, M., S̨ucan, I. A.: A search engine for mathematical formulae. Proceedings of Artificial Intelligence and Symbolic Computation, AISC ’06, LNAI 4120, Springer Verlag, Germany (2006). Zbl 1156.68306
4. Miller, B., Youssef, A.: Technical aspects of the digital library of mathematical functions. Annals of Mathematics and Artificial Intelligence, 121–136 (2003). MR 1990417 | Zbl 1019.65002
5. Miner, R., Munavalli, R.: An approach to mathematical search through query formulation and data normalization. In Towards Mechanized Mathematical Assistants, MKM 2007, 342–355 (2007). Zbl 1202.68130
6. Libbrecht, P., Melis, E.: Methods for access and retrieval of mathematical content in ActiveMath. Proceedings of ICMS 2006, LNAI 4151, Springer Berlin/Heidelberg, 331–342 (2006).
7. Kohlhase, M., Franke, A.: MBase: Representing knowledge and context for the integration of mathematical software systems. Journal of Symbolic Computation, Special Issue on the Integration of Computer algebra and Deduction Systems, 365–402 (2001). MR 1856848 | Zbl 0981.68153
8. Asperti, A., Selmi, M.: Efficient retrieval of mathematical statements. In Mathematical Knowledge Management, LNCS 3119, Springer Verlag, 1–4 (2004). Zbl 1108.68582
9. Asperti, A., Guidi, F., Sacerdoti Coen, C., Tassi, E., Zacchiroli, S.: A content based mathematical search engine: Whelp. Proceedings of the TYPES 2004, LNCS 3839, Springer Verlag, 17–32 (2004).
10. Stuber, J., van den Brand, M.: Extracting Mathematical Semantics from LaTeX Documents. LNCS 2901, Springer, Germany, 160–173 (2003).
11. Mišutka, J.: Mathematical search engine. Master thesis, Faculty of Mathematics and Physics, Charles University in Prague (2007).
12. Miller, B. R.: Authoring mathematical knowledge. In 2$nd$ North American Workshop on Mathematical Knowledge Management, Phoenix (2004).
13. Miller, B. R.: DLMF, LaTeXML and some lessons learned. Hot Topic Workshop on The Evolution of Mathematical Communication in the Age of Digital Libraries (2006).
14. Suzuki, M., Tamari, F., Fukuda, R., Uchida, S., Kanahori, T.: INFTY — An integrated OCR system for mathematical documents. Proceedings of DocEng, France (2003).
Partner of
EuDML logo