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Developing a 21st Century Global Library for Mathematics Research discusses how information about what the mathematical literature contains can be formalized and made easier to express, encode, and explore. Many of the tools necessary to…

History and Overview · Mathematics 2014-04-08 Committee on Planning a Global Library of the Mathematical Sciences

This is a survey of the existing digital collections of French mathematical literature, run by non-profit organizations. This includes research monographs, serials, proceedings, Ph. D. theses, collected works, books and personal websites.

Digital Libraries · Computer Science 2011-01-25 Thierry Bouche

One of the main tasks of the European Digital Mathematics Library project was to define a cooperation model with a variety of stakeholders that would allow building a reliable and durable global reference library, aiming to be eventually…

Digital Libraries · Computer Science 2013-07-02 Thierry Bouche , Jiri Rákosnik

This paper reports on the development of a Web platform to host the Mizar Mathematical Library (MML). In recent years, the size of formalized mathematical libraries has been drastically increasing, and this has led to a growing demand for…

Programming Languages · Computer Science 2022-10-06 Hideharu Furushima , Daichi Yamamichi , Seigo Shigenaka , Kazuhisa Nakasho , Katsumi Wasaki

In this paper the authors show an overview of Virtual Digital Mathematics Library in Japan (DML-JP), contents of which consist of metadata harvested from institutional repositories in Japan and digital repositories in the world. DML-JP is,…

Digital Libraries · Computer Science 2009-07-23 Takao Namiki , Hiraku Kuroda , Shunsuke Naruse

Traditionally, mathematical knowledge is published in printed media such as books or journals. With the advent of the Internet, a new method of publication became available. To date, however, most online mathematical publications do not…

History and Overview · Mathematics 2011-03-01 Markus J. Pflaum , John Tuley

The Mizar Mathematical Library (MML) is a large corpus of formalised mathematical knowledge. It has been constructed over the course of many years by a large number of authors and maintainers. Yet the legal status of these efforts of the…

Digital Libraries · Computer Science 2011-07-27 Jesse Alama , Michael Kohlhase , Adam Naumowicz , Piotr Rudnicki , Josef Urban , Lionel Mamane

This paper is devoted to present the Mathematics Grammar Library, a system for multilingual mathematical text processing. We explain the context in which it originated, its current design and functionality and the current development goals.…

Mathematical Software · Computer Science 2012-02-23 Jordi Saludes , Sebastian Xambó

The Lean mathematical library mathlib is developed by a community of users with very different backgrounds and levels of experience. To lower the barrier of entry for contributors and to lessen the burden of reviewing contributions, we have…

Programming Languages · Computer Science 2020-07-28 Floris van Doorn , Gabriel Ebner , Robert Y. Lewis

Applied machine learning (ML) has rapidly spread throughout the physical sciences; in fact, ML-based data analysis and experimental decision-making has become commonplace. We suggest a shift in the conversation from proving that ML can be…

Materials Science · Physics 2021-12-21 Naohiro Fujinuma , Brian L. DeCost , Jason Hattrick-Simpers , Samuel E. Lofland

This paper describes mathlib, a community-driven effort to build a unified library of mathematics formalized in the Lean proof assistant. Among proof assistant libraries, it is distinguished by its dependently typed foundations, focus on…

Logic in Computer Science · Computer Science 2020-01-28 The mathlib Community

Nowadays, Machine Learning (ML) is seen as the universal solution to improve the effectiveness of information retrieval (IR) methods. However, while mathematics is a precise and accurate science, it is usually expressed by less accurate and…

Digital Libraries · Computer Science 2020-12-22 André Greiner-Petter , Terry Ruas , Moritz Schubotz , Akiko Aizawa , William Grosky , Bela Gipp

The Lean mathematical library Mathlib is one of the fastest-growing libraries of formalised mathematics. We describe various strategies to manage this growth, while allowing for change and avoiding maintainer overload. This includes dealing…

Programming Languages · Computer Science 2025-10-08 Anne Baanen , Matthew Robert Ballard , Johan Commelin , Bryan Gin-ge Chen , Michael Rothgang , Damiano Testa

We study the network structure of Wikipedia (restricted to its mathematical portion), MathWorld, and DLMF. We approach these three online mathematical libraries from the perspective of several global and local network-theoretic features,…

Social and Information Networks · Computer Science 2014-12-16 Flavio B. Gonzaga , Valmir C. Barbosa , Geraldo B. Xexéo

It has been a long time that computer architecture and systems are optimized for efficient execution of machine learning (ML) models. Now, it is time to reconsider the relationship between ML and systems, and let ML transform the way that…

Machine Learning · Computer Science 2022-02-25 Nan Wu , Yuan Xie

As the concept and implementation of cutting-edge technologies like artificial intelligence and machine learning has become relevant, academics, researchers and information professionals involve research in this area. The objective of this…

Digital Libraries · Computer Science 2021-12-10 Rajesh Kumar Das , Mohammad Sharif Ul Islam

In this big data era, the use of large dataset in conjunction with machine learning (ML) has been increasingly popular in both industry and academia. In recent times, the field of materials science is also undergoing a big data revolution,…

Materials Science · Physics 2023-09-27 Sue Sin Chong , Yi Sheng Ng , Hui-Qiong Wang , Jin-Cheng Zheng

This paper is concerned with tracking and interpreting scholarly documents in distributed research communities. We argue that current approaches to document description, and current technological infrastructures particularly over the World…

Digital Libraries · Computer Science 2007-05-23 Simon Buckingham Shum , Enrico Motta , John Domingue

Machine learning (ML) has transformed numerous fields, but understanding its foundational research is crucial for its continued progress. This paper presents an overview of the significant classical ML algorithms and examines the…

Some aspects of Computer Algebra (notably Computation Group Theory and Computational Number Theory) have some good databases of examples, typically of the form "all the X up to size n". But most of the others, especially on the polynomial…

Symbolic Computation · Computer Science 2022-10-31 James Harold Davenport
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