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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

This article is intended as a kind of precursor to the document Geometry for Post-primary School Mathematics, part of the Mathematics Syllabus for Junior Certicate issued by the Irish National Council for Curriculum and Assessment in the…

History and Overview · Mathematics 2017-03-22 Patrick D. Barry , Anthony G. O'Farrell

Quantum Computing promises accelerated simulation of certain classes of problems, in particular in plasma physics. Given the nascent interest in applying quantum computing techniques to study plasma systems, a compendium of the relevant…

Plasma Physics · Physics 2023-02-02 Óscar Amaro , Diogo Cruz

The highest level of mathematics has traditionally been seen as a solitary endeavour, to produce a proof for review and acceptance by research peers. Mathematics is now at a remarkable inflexion point, with new technology radically…

Social and Information Networks · Computer Science 2013-05-07 Ursula Martin , Alison Pease

Mathematical reasoning in large language models (LMs) has garnered significant attention in recent work, but there is a limited understanding of how these models process and store information related to arithmetic tasks within their…

Computation and Language · Computer Science 2023-10-23 Alessandro Stolfo , Yonatan Belinkov , Mrinmaya Sachan

Good figure captions help paper readers understand complex scientific figures. Unfortunately, even published papers often have poorly written captions. Automatic caption generation could aid paper writers by providing good starting captions…

In this paper we review a proposed geometrical formulation of quantum mechanics. We argue that this geometrization makes available mathematical methods from classical mechanics to the quantum frame work. We apply this formulation to the…

Mathematical Physics · Physics 2014-11-21 G. Marmo , G. F. Volkert

The last 30 years have seen the creation of a variety of electronic collaboration tools for science and business. Some of the best-known collaboration tools support text editing (e.g., wikis). Wikipedia's success shows that large-scale…

Databases · Computer Science 2009-06-05 Sylvie Noel , Daniel Lemire

The formalisation of mathematics is starting to become routine, but the value of this technology to the work of mathematicians remains to be shown. There are few examples of using proof assistants to verify brand-new work. This paper…

Logic in Computer Science · Computer Science 2025-01-22 Lawrence C Paulson

Vision-Language Models (VLMs) have transformed tasks requiring visual and reasoning abilities, such as image retrieval and Visual Question Answering (VQA). Despite their success, VLMs face significant challenges with tasks involving…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Ayush Singh , Mansi Gupta , Shivank Garg , Abhinav Kumar , Vansh Agrawal

Developers are increasingly sharing images in social coding environments alongside the growth in visual interactions within social networks. The analysis of the ratio between the textual and visual content of Mozilla's change requests and…

Software Engineering · Computer Science 2020-01-20 Maleknaz Nayebi

Feedback on student answers and even during intermediate steps in their solutions to open-ended questions is an important element in math education. Such feedback can help students correct their errors and ultimately lead to improved…

Machine Learning · Computer Science 2021-04-27 Mengxue Zhang , Zichao Wang , Richard Baraniuk , Andrew Lan

With the increased accessibility of web and online encyclopedias, the amount of data to manage is constantly increasing. In Wikipedia, for example, there are millions of pages written in multiple languages. These pages contain images that…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Nicola Messina , Davide Alessandro Coccomini , Andrea Esuli , Fabrizio Falchi

The purpose of the NIST Digital Repository of Mathematical Formulae (DRMF) is to create a digital compendium of mathematical formulae for orthogonal polynomials and special functions (OPSF) and of associated mathematical data. The DRMF…

Digital Libraries · Computer Science 2014-08-20 Howard S. Cohl , Marjorie A. McClain , Bonita V. Saunders , Moritz Schubotz , Janelle C. Williams

In computational physics, chemistry, and biology, the implementation of new techniques in a shared and open source software lowers barriers to entry and promotes rapid scientific progress. However, effectively training new software users…

The growing volume of digital images necessitates advanced systems for efficient categorization and retrieval, presenting a significant challenge in database management and information retrieval. This paper introduces PICS (Pipeline for…

Computer Vision and Pattern Recognition · Computer Science 2024-02-16 Grant Rosario , David Noever

The goal of this project is to (i) accumulate annotated informal/formal mathematical corpora suitable for training semi-automated translation between informal and formal mathematics by statistical machine-translation methods, (ii) to…

Artificial Intelligence · Computer Science 2014-05-15 Cezary Kaliszyk , Josef Urban , Jiri Vyskocil , Herman Geuvers

We introduce a large-scale dataset of math word problems and an interpretable neural math problem solver that learns to map problems to operation programs. Due to annotation challenges, current datasets in this domain have been either…

Computation and Language · Computer Science 2019-06-03 Aida Amini , Saadia Gabriel , Peter Lin , Rik Koncel-Kedziorski , Yejin Choi , Hannaneh Hajishirzi

The article provides a brief description of the MathPartner service. This freely available cloud-based Mathematics is a universal system for symbolic-numeric calculations. Its Mathpar language is a subset of the LaTeX language, but allows…

History and Overview · Mathematics 2025-05-08 Gennadi Malaschonok , Roman Sakh

Ten years ago, the Mathematics Subject Classification MSC 2010 was released, and a corresponding machine-readable Linked Open Data collection was published using the Simple Knowledge Organization System (SKOS). Now, the new MSC 2020 is out.…

Digital Libraries · Computer Science 2021-08-03 Susanne Arndt , Patrick Ion , Mila Runnwerth , Moritz Schubotz , Olaf Teschke
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