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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

An e-graph efficiently represents a congruence relation over many expressions. Although they were originally developed in the late 1970s for use in automated theorem provers, a more recent technique known as equality saturation repurposes…

Programming Languages · Computer Science 2021-01-08 Max Willsey , Chandrakana Nandi , Yisu Remy Wang , Oliver Flatt , Zachary Tatlock , Pavel Panchekha

LaTeX is suitable for creating specially formatted documents in science, technology, mathematics, and computer science. Although the use of mathematical expressions in LaTeX format along with language models is increasing, there are no…

Computation and Language · Computer Science 2024-09-16 Kyudan Jung , Nam-Joon Kim , Hyongon Ryu , Sieun Hyeon , Seung-jun Lee , Hyeok-jae Lee

Vector representations have been pivotal in advancing natural language processing (NLP), with prior research focusing on embedding techniques for mathematical expressions using mathematically equivalent formulations. While effective, these…

Machine Learning · Computer Science 2025-03-11 Hongbo Zheng , Suyuan Wang , Neeraj Gangwar , Nickvash Kani

Collaborative editing questions and answers plays an important role in quality control of Mathematics Stack Exchange which is a math Q&A Site. Our study of post edits in Mathematics Stack Exchange shows that there is a large number of…

Human-Computer Interaction · Computer Science 2021-09-21 Suyu Ma , Chunyang Chen , Hourieh Khalajzadeh , John Grundy

MathGloss is a project to create a knowledge graph (KG) for undergraduate mathematics from text, automatically, using modern natural language processing (NLP) tools and resources already available on the web. MathGloss is a linked database…

Computation and Language · Computer Science 2023-11-22 Lucy Horowitz , Valeria de Paiva

We present MatplotAlt, an open-source Python package for easily adding alternative text to Matplotlib figures. MatplotAlt equips Jupyter notebook authors to automatically generate and surface chart descriptions with a single line of code or…

Human-Computer Interaction · Computer Science 2025-03-27 Kai Nylund , Jennifer Mankoff , Venkatesh Potluri

We present bipartiteSUSY, a Mathematica package designed to perform calculations for physical theories based on bipartite graphs. In particular, the package can employ the recently developed arsenal of techniques surrounding on-shell…

High Energy Physics - Theory · Physics 2017-02-15 Daniele Galloni

This paper describes a package for calculations of expressions with Dirac matrixes. Advantages to existing similar packages are described. MatrixExp package is intended for simplification of complex expressions involving $\gamma$-matrixes,…

High Energy Physics - Phenomenology · Physics 2009-11-11 V. A. Poghosyan

In a citation graph, adjacent paper nodes share related scientific terms and topics. The graph thus conveys unique structure information of document-level relatedness that can be utilized in the paper summarization task, for exploring…

Computation and Language · Computer Science 2022-12-09 Xiuying Chen , Mingzhe Li , Shen Gao , Rui Yan , Xin Gao , Xiangliang Zhang

Many numerical methods for evaluating matrix functions can be naturally viewed as computational graphs. Rephrasing these methods as directed acyclic graphs (DAGs) is a particularly effective approach to study existing techniques, improve…

Numerical Analysis · Mathematics 2021-08-20 Elias Jarlebring , Massimiliano Fasi , Emil Ringh

Graph-based modeling plays a fundamental role in many areas of computer science. In this paper, we introduce systems of graph formulas with variables for specifying graph properties; this notion generalizes the graph formulas introduced in…

Formal Languages and Automata Theory · Computer Science 2026-01-23 Frank Drewes , Berthold Hoffmann , Mark Minas

Infographics are a form of data visualization combining data, information, and statistics. Over the last ten years, infographics have become a popular method for displaying concise information, where infographics are a useful tool for…

Physics Education · Physics 2017-11-28 Ivan Sudakov , Thomas Bellsky , Svetlana Usenyuk , Victoria Polyakova

Figures are essential channels for densely communicating complex ideas in scientific papers. Previous work in automatically generating figure captions has been largely unsuccessful and has defaulted to using single-layer LSTMs, which no…

Computation and Language · Computer Science 2024-07-17 Stanley Cao , Kevin Liu

Package-X, a Mathematica package for the analytic computation of one-loop integrals dimensionally regulated near 4 spacetime dimensions is described. Package-X computes arbitrarily high rank tensor integrals with up to three propagators,…

High Energy Physics - Phenomenology · Physics 2015-12-01 Hiren H. Patel

Equality saturation, a technique for program optimisation and reasoning, has gained attention due to the resurgence of equality graphs (e-graphs). E-graphs represent equivalence classes of terms under rewrite rules, enabling simultaneous…

Logic in Computer Science · Computer Science 2025-05-05 Aleksei Tiurin , Dan R. Ghica , Nick Hu

The Smatch metric is a popular method for evaluating graph distances, as is necessary, for instance, to assess the performance of semantic graph parsing systems. However, we observe some issues in the metric that jeopardize meaningful…

Computation and Language · Computer Science 2025-10-17 Juri Opitz

Scientists often infer abstract procedures from specific instances of problems and use the abstractions to generate new, related instances. For example, programs encoding the formal rules and properties of a system have been useful in…

Computation and Language · Computer Science 2025-07-22 Zaid Khan , Elias Stengel-Eskin , Archiki Prasad , Jaemin Cho , Mohit Bansal

In this paper we present the SageMath package FlexRiLoG (short for flexible and rigid labelings of graphs). Based on recent results the software generates motions of graphs using special edge colorings. The package computes and illustrates…

Mathematical Software · Computer Science 2021-02-05 Georg Grasegger , Jan Legerský

Given the increase of publications, search for relevant papers becomes tedious. In particular, search across disciplines or schools of thinking is not supported. This is mainly due to the retrieval with keyword queries: technical terms…

Information Retrieval · Computer Science 2022-09-02 Lukas Pfahler , Katharina Morik