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Quantum computing is a rapidly evolving field encompassing various disciplines such as physics, mathematics, computer engineering, and computer science. Teaching quantum computing in a concise and effective manner can be challenging,…

Physics Education · Physics 2025-10-07 Leonel Sousa

Since the early twentieth century, it has been understood that mathematical definitions and proofs can be represented in formal systems systems with precise grammars and rules of use. Building on such foundations, computational proof…

History and Overview · Mathematics 2023-11-07 Jeremy Avigad

Mathematicians have traditionally been a select group of academics that produce high-impact ideas allowing substantial results in several fields of science. Throughout the past 35 years, undergraduates enrolling in mathematics or statistics…

History and Overview · Mathematics 2024-03-18 Ariel Cintron-Arias , Ryan Nivens , Anant Godbole , Calvin B. Purvis

This overview article highlights the critical role of mathematics in artificial intelligence (AI), emphasizing that mathematics provides tools to better understand and enhance AI systems. Conversely, AI raises new problems and drives the…

Optimization and Control · Mathematics 2025-01-22 Gabriel Peyré

Computational skills are required across all astronomy disciplines. Many students enter degree programs without sufficient skills to solve computational problems in their core classes or contribute immediately to research. We recommend…

Physics Education · Physics 2016-06-08 M. Zingale , F. X. Timmes , R. Fisher , B. W. O'Shea

We analyze the curriculum of the early common-years of engineering in our institute using tools of statistical physics of complex networks. Naturally, a course programme is structured in a networked form (temporal dependency and…

Physics Education · Physics 2020-05-06 Suzane F. Pinto , Ronan S. Ferreira

Over the past two decades the field of computational science and engineering (CSE) has penetrated both basic and applied research in academia, industry, and laboratories to advance discovery, optimize systems, support decision-makers, and…

The recent development in analog computation is reviewed in this paper. Analog computation was used in many applications where power and energy efficiency is of paramount importance. It is shown that by using innovative architecture and…

Emerging Technologies · Computer Science 2015-04-03 Yang Xue

The ability to read, write, and speak mathematics is critical to students becoming comfortable with statistical models and skills. Faster development of those skills may act as encouragement to further engage with the discipline. Vocabulary…

Other Statistics · Statistics 2025-07-08 Tess O'Brien

We present numerical techniques based on generalized functions adapted to nonlinear calculations. They concern main numerical engineering problems ruled by-or issued from-nonlinear equations of continuum mechanics. The aim of this text is…

Mathematical Physics · Physics 2007-05-23 J. F. Colombeau

We argue that most advances in science and technology during the past and the present centuries rely on modern physics concepts developed in the early $20$th century. The reliance is so profound that any improvement of literacy of science…

Physics Education · Physics 2022-08-17 Yousef Bisabr

Nowadays, software is pervasive in our everyday lives. Its sustainability and environmental impact have become major factors to be considered in the development of software systems. Millennials-the newer generation of university…

Software Engineering · Computer Science 2017-03-06 Damiano Torre , Giuseppe Procaccianti , Davide Fucci , Sonja Lutovac , Giuseppe Scanniello

In the past few years, we have observed a huge supply-demand gap for autonomous driving engineers. The core problem is that autonomous driving is not one single technology but rather a complex system integrating many technologies, and no…

Artificial Intelligence · Computer Science 2021-02-17 Shaoshan Liu , Jean-Luc Gaudiot , Hironori Kasahara

A re-calibration is proposed for "numerical analysis" as it arises specifically within the broader, embracing field of modern computer science (CS). This would facilitate research into theoretical and practicable models of real-number…

Numerical Analysis · Computer Science 2019-03-22 John Lawrence Nazareth

Mathematics as an area of study occupies an important place in higher education. Due in part to its utility in other disciplines as well as its role in student learning, institutions of higher education (IHEs) often have large numbers of…

History and Overview · Mathematics 2024-04-16 Edgar J. Fuller

The actuality of material attached to the article is caused by the necessity to develop and implement high-tech information and communication, educational and scientific environment to the leaning process. One of the examples of such…

General Mathematics · Mathematics 2018-09-10 Kateryna Slovak

Modern demands of the statistics profession call for reimagining statistics training. The discipline needs to attract and develop students who are effective as real-world problem solvers, interdisciplinary collaborators, communicators,…

Other Statistics · Statistics 2023-06-16 Camden L. Lopez

During the last decade we have witnessed an impressive development in so-called interpreted languages and computational environments such as Maple, Mathematica, IDL, Matlab etc. Problems which until recently were typically solved on…

Physics Education · Physics 2007-05-23 Arnt Inge Vistnes , M. Hjorth-Jensen

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

This article addresses the logistics of implementing projects in an undergraduate mathematics class and is intended both for new instructors and for instructors who have had negative experiences implementing projects in the past. Project…

History and Overview · Mathematics 2017-01-06 R. Corban Harwood
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