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1 Introduction
Pages 8-27

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From page 8...
... That resource can serve as a platform and focal point for further development of the mathematical knowledge base. This new system, referred to throughout the report as the Digital Mathematics Library (DML)
From page 9...
... The committee has largely ignored traditional issues of assembling and stewardship of those collections, which are being handled well, for the most part, by the existing distributed digital library. The committee envisions its target digital library users to be working research mathematicians and advanced graduate students beginning their research careers throughout the world (hence the word global)
From page 10...
... , and wrote a guest entry on Professor Terry Tao's mathematics blog.3 The committee also referred to the information shared at the World Digital Mathematics Library workshop held by the International Mathematical Union (IMU) on June 1-3, 2012.4 The committee made an assessment of what computers can do today, what computers can help mathematicians to do, and how rapidly these capabilities are likely to grow, if provided with some ongoing focused research funding.
From page 11...
... . The Cornell University Digital Mathematics Library Planning Project ­ was funded by the National Science Foundation from 2003 to 2004 as a step "toward the establishment of a comprehensive, international, distributed collection of digital information and published knowledge in mathematics."5 Its vision statement reads as follows: In light of mathematicians' reliance on their discipline's rich published heritage and the key role of mathematics in enabling other scientific disci 5  Cornell University Library, Digital Mathematics Library.
From page 12...
... 7  European Digital Mathematics Library, "Appendix, EuDML Metadata Schema (Final) / Tagging Best Practices," in EuDML Metadata Schema Specification (v2.0-final)
From page 13...
... . The difficulties that the EuDML faced in creating a single large aggregation of mathematics literature and the difficulty of other World Digital Mathematics Library efforts in gaining community support indicates that these challenges are unlikely to be overcome soon.
From page 14...
... THE UNIVERSE OF PUBLISHED MATHEMATICAL INFORMATION Mathematics shares more with the arts than the sciences, in that its primary data are human creations, perhaps representations of ideas in a platonic realm, rather than data derived by observation or measurement of the physical universe. Mathematical information is primarily mined from its own literature or derived by computation.
From page 15...
... 11  DML: Digital Mathematics Library, http://www.mathematik.uni-bielefeld.de/~rehmann/ DML/dml_links.html, accessed January 16, 2014. 12  Metadata are broadly defined as data about data.
From page 16...
... 16  Thomson Reuters, "Web of Science Core Collection," http://thomsonreuters.com/web-ofscience/, accessed January 16, 2014. 17  HathiTrust Digital Library, http://www.hathitrust.org/, accessed January 16, 2014.
From page 17...
... SOURCE: American Mathematical Society, MathSciNet, http://www.ams.org/mathscinet/, accessed January 16, 2014. TABLE 1-3  Mathematics Papers Listed in Web of Science Annually Between 2008 and 2012 Year Mathematics Papers Listed in Web of Science 2008 20,908 2009 22,390 2010 22,079 2011 22,716 2012 23,760 SOURCE: Thomson Reuters, "Web of Science Core Collection," http://thomsonreuters.com/ web-of-science/, accessed January 16, 2014.
From page 18...
... However, an ability to explore these mathematical objects within the literature offers the potential to uncover currently under-explored connections in mathematics. The recent National Research Council report The Mathematical Sciences in 2025 (NRC, 2013)
From page 19...
... In the context of today's Web environment, a well-structured network implies adherence to the Semantic Web19 and linked open data principles and to community-endorsed standards and best practices. While the foundation for such a well-structured network of digital research mathematics exists in established repositories and component digital libraries, the underlying thesauri and ontologies of mathematical objects do not yet exist (or have not yet been given permanence and formal identity)
From page 20...
... 23  Encoded by the Mathematics Subject Classification (MSC2010) , American Mathematical Society, http://www.ams.org/mathscinet/msc/msc2010.html, accessed January 16, 2014.
From page 21...
... While many mathematicians heavily utilize these general information services because of their power and ubiquity, some mathematicians prefer the discipline-specific abstracting and indexing services provided by MathSciNet29 and zbMath.30 This discipline-specific service preference is partly for historical reasons and partly because the focus and quality of metadata provided by these services in mathematics makes it ­ asier to find publications of interest. Both services offer bibliographic e ­ ntries in BibTeX,31 which is machine-readable and reusable, for preparae tion of reference lists for LaTeX32 documents, and, with more technical ­ffort, for publication of online bibliographies in HTML33 or JSON.34 e U ­ sing search engines with access to well-curated bibliographic metadata and full-text indexing is how most mathematicians find mathematical primary sources today.
From page 22...
... Search tools associated with distinct subsets of the literature, such as arXiv, publisher-based repositories, library catalogs, and academic institutional repositories provide overlapping access to the mathematical literature. Unfortunately, the present configuration of these discipline-specific ­ tools does not provide a single information source where mathematicians can find and access information from diverse sources, and the more general information sources often lack the mathematical metadata and details that make mathematics literature easy to search and browse.
From page 23...
... Specialized Mathematical Information Resources General bibliographic services provide limited support for navigating and searching mathematical literature below the top five bibliographic classes (documents, people, events, organizations, subjects) discussed above.
From page 24...
... 43  NIST Digital Library of Mathematical Functions, 2013, http://dlmf.nist.gov/. 44  Wolfram MathWorld, http://mathworld.wolfram.com/, accessed January 16, 2014.
From page 25...
... 52  Springer, LaTeX Search, http://www.latexsearch.com/, accessed January 16, 2014.
From page 26...
... . Extensive lists could also enhance search and retrieval of mathematical information and allow for connections to be made between mathematical topics and objects.
From page 27...
... Pp. 3-16 in DML 2009 Towards a Digital Mathematics Library Proceedings (P.


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