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Programming is deeply embedded in contemporary mathematical practice, yet its epistemic status in university mathematics teaching remains contested. Little is known about how mathematicians themselves understand the legitimacy of…

History and Overview · Mathematics 2026-03-31 Jan-Fredrik Olsen , Tor Ole B Odden

Language-orientated programming promises to elevate programmer productivity through increased abstrac- tion capabilities. Structural programming environments provide apparatus to reduce the difficulties with syntax. The language workbench,…

Programming Languages · Computer Science 2014-03-18 Gavin Wood

Passive documents and active programs now widely comingle. Document languages include Turing-complete programming elements, and programming languages include sophisticated document notations. However, there are no formal foundations that…

Programming Languages · Computer Science 2023-11-15 Will Crichton , Shriram Krishnamurthi

An introductory formal languages course exposes advanced undergraduate and early graduate students to automata theory, grammars, constructive proofs, computability, and decidability. Programming students find these topics to be challenging…

Formal Languages and Automata Theory · Computer Science 2014-12-17 Marco T. Morazán , Rosario Antunez

Numerical QCD is often extremely resource demanding and it is not rare to run hundreds of simulations at the same time. Each of these can last for days or even months and it typically requires a job-script file as well as an input file with…

High Energy Physics - Lattice · Physics 2018-04-18 Alessandro Sciarra

We describe a light-weight system of bash scripts for efficiently bundling supercomputing tasks into large jobs, so that one can take advantage of incentives or discounts for requesting large allocations. The software can backfill…

Computational Physics · Physics 2017-02-22 Evan Berkowitz

We discuss the great importance of using mathematical software in solving problems in today's society. In particular, we show how to use Mathematica software to solve ordinary differential equations exactly and numerically. We also show how…

General Physics · Physics 2021-04-09 Deyvid W. da M. Pastana , Manuel E. Rodrigues

We commonly think of mathematics as bringing precision to application domains, but its relationship with computer science is more complex. This experience report on the use of Racket and Haskell to teach a required first university CS…

Programming Languages · Computer Science 2013-01-23 Prabhakar Ragde

functionalObjects.h allows the C++ programmer performing common mathematical calculations to use a more symbolic syntax rather than an algorithmic syntax. This is not as ambitious as a symbolic manipulation program such as Mathematica; it…

High Energy Physics - Experiment · Physics 2009-10-31 R. Nolty

Neural networks that compute over graph structures are a natural fit for problems in a variety of domains, including natural language (parse trees) and cheminformatics (molecular graphs). However, since the computation graph has a different…

Neural and Evolutionary Computing · Computer Science 2017-02-23 Moshe Looks , Marcello Herreshoff , DeLesley Hutchins , Peter Norvig

Many real-world dynamic systems, both natural and artificial, are understood to be performing computations. For artificial dynamic systems, explicitly designed to perform computation - such as digital computers - by construction, we can…

Computational Physics · Physics 2026-02-24 David H. Wolpert , Jan Korbel

Recent developments in computer programming and in mathematics suggest that there is a strong case for a new way of introducing programming to enhance the learning of school mathematics. The article describes a collaboration of mathematics…

History and Overview · Mathematics 2022-03-30 Ian Benson , Jim Darby , Neil MacDonald , Jesse Sigal

The various non-linear transformations incurred by the rays in an optical system can be modelled by matrix products up to any desired order of approximation. Mathematica software has been used to find the appropriate matrix coefficients for…

Optics · Physics 2009-11-10 Jose B. Almeida

Service robots for personal use in the home and the workplace require end-user development solutions for swiftly scripting robot tasks as the need arises. Many existing solutions preserve ease, efficiency, and convenience through simple…

Robotics · Computer Science 2023-02-08 David Porfirio , Laura Stegner , Maya Cakmak , Allison Sauppé , Aws Albarghouthi , Bilge Mutlu

Mathematical information is essential for technical work, but its creation, interpretation, and search are challenging. To help address these challenges, researchers have developed multimodal search engines and mathematical question…

Information Retrieval · Computer Science 2025-01-15 Richard Zanibbi , Behrooz Mansouri , Anurag Agarwal

This paper discusses digital online mathematics examinations -- a discussion ranging from high school to university level examinations. In particular, we consider the nature of mathematical writing, what is distinctive about mathematical…

History and Overview · Mathematics 2026-05-26 Laura Kobel-Keller , Chris Sangwin

MATLAB is a mathematical computing environment used by many engineers, mathematicians, and students to process and understand their data. Important to all data science is the managing of textual data. MATLAB supports two textual data…

Performance · Computer Science 2021-09-28 Travis Near

Mathematical software systems are becoming more and more important in pure and applied mathematics in order to deal with the complexity and scalability issues inherent in mathematics. In the last decades we have seen a cambric explosion of…

Mathematical Software · Computer Science 2020-02-13 Katja Bercic , Jacques Carette , William M. Farmer , Michael Kohlhase , Dennis Müller , Florian Rabe , Yasmine Sharoda

The analysis of graphs has become increasingly important to a wide range of applications. Graph analysis presents a number of unique challenges in the areas of (1) software complexity, (2) data complexity, (3) security, (4) mathematical…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-19 Jeremy Kepner , David Bader , Aydın Buluc , John Gilbert , Timothy Mattson , Henning Meyerhenke

Questions concerning origin of mathematical knowledge and roles of language and intuition (imagery) in mathematical thoughts are long standing and widely debated. By introspection, mathematicians usually have some beliefs regarding these…

Neurons and Cognition · Quantitative Biology 2019-10-02 Manouchehr Zaker