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With rising cyberattack frequency and range, Quantum Computing companies, institutions and research groups may become targets of nation-state actors, cybercriminals and hacktivists for sabotage, espionage and fiscal motivations as the…

量子物理 · 物理学 2021-10-29 Natalie Kilber , Daniel Kaestle , Stefan Wagner

Quantum computing provides a powerful framework for tackling computational problems that are classically intractable. The goal of this paper is to explore the use of quantum computers for solving relevant problems in systems and control…

系统与控制 · 电气工程与系统科学 2025-12-23 Jan Schneider , Julian Berberich

Neural network-based machine learning is capable of approximating functions in very high dimension with unprecedented efficiency and accuracy. This has opened up many exciting new possibilities, not just in traditional areas of artificial…

数值分析 · 数学 2020-12-30 Weinan E

While there has been some discussion on how Symbolic Computation could be used for AI there is little literature on applications in the other direction. However, recent results for quantifier elimination suggest that, given enough example…

符号计算 · 计算机科学 2018-11-01 M. England

A new generation of educational mathematics software is being shaped in ThEdu and other academic communities on the side of computer mathematics. Respective concepts and technologies have been clarified to an extent, which calls for…

历史与综述 · 数学 2019-04-19 Walther Neuper

We analyse dissipation in quantum computation and its destructive impact on efficiency of quantum algorithms. Using a general model of decoherence, we study the time evolution of a quantum register of arbitrary length coupled with an…

量子物理 · 物理学 2015-06-26 G. Massimo Palma , Kalle-Antti Suominen , Artur K. Ekert

Traditional computers work with finite numbers. Situations where the usage of infinite or infinitesimal quantities is required are studied mainly theoretically. In this paper, a recently introduced computational methodology (that is not…

数值分析 · 数学 2012-03-15 Yaroslav D. Sergeyev

The quality of high-end videoconferencing systems has improved significantly over the last few years enabling a class of applications known as "telepresence" wherein the users engaged in a communication session experience a feeling of…

人机交互 · 计算机科学 2015-11-10 Mathias Johanson

This note presents reflections drawn from my recent experiences in teaching a course on mathematics and sustainability, with a particular emphasis on raising awareness of the topic and its broader implications. The lectures were structured…

历史与综述 · 数学 2025-10-16 Henrik Shahgholian

The use of statistical software in academia and enterprises has been evolving over the last years. More often than not, students, professors, workers, and users, in general, have all had, at some point, exposure to statistical software.…

应用统计 · 统计学 2019-08-21 Rui Portocarrero Sarmento , Vera Costa

We report the consequences of a destabilization process on a simulated General Purpose Analog Computer. This new technology overcomes problems linked with serial ambiguity, and provides an analog bias to encode algorithms whose complexity…

计算复杂性 · 计算机科学 2007-05-23 O. Habibi , U. R. Patihnedj , M. O. Dhar

Access to quality education remains a global challenge, particularly in crisis-affected regions. This study examines the decline in students' mathematical proficiency and proposes an innovative Moodle-based testing system that incorporates…

历史与综述 · 数学 2026-04-22 I. V. Orlovskyi , O. A. Tymoshenko

This paper investigates the causal impact of negatively and positively toned ChatGPT Artificial Intelligence (AI) discussions on US students' anticipated labor market outcomes. Our findings reveal students reduce their confidence regarding…

综合经济学 · 经济学 2023-08-03 Samir Huseynov

The impact of the computer on present and especially future mathematics is illustrated by means of the iconic example of WZ theory.

组合数学 · 数学 2007-05-23 Doron Zeilberger

Quantum computers are expected to surpass the computational capabilities of classical computers and have a transformative impact on numerous industry sectors. We present a comprehensive summary of the state of the art of quantum computing…

量子物理 · 物理学 2023-07-24 Dylan Herman , Cody Googin , Xiaoyuan Liu , Yue Sun , Alexey Galda , Ilya Safro , Marco Pistoia , Yuri Alexeev

Analog computers can be revived as a feasible technology platform for low precision, energy efficient and fast computing. We justify this statement by measuring the performance of a modern analog computer and comparing it with that of…

计算物理 · 物理学 2021-12-20 Sven Köppel , Bernd Ulmann , Lars Heimann , Dirk Killat

The multi-layered nature of societal developments poses a challenge in the teaching and learning of history of mathematics. As an attempt to tackle this challenge we experimented with the use of Knowledge-Maps. The focus of our interest…

历史与综述 · 数学 2019-12-18 Nicola Oswald , Sarah Khellaf , Jana Peters

In order to introduce an integrated research information system, this will provide scientific institutions with the necessary information on research activities and research results in assured quality. Since data collection, duplication,…

数据库 · 计算机科学 2019-01-23 Otmane Azeroual , Mohammad Abuosba

In this note I describe reliability standards for writing and reviewing mathematical papers; these standards are (in my opinion) vital for the progress of mathematics. I give examples of applying the described or other reliability…

历史与综述 · 数学 2025-07-08 A. Skopenkov

The classical simulation of physical processes using standard models of computation is fraught with problems. On the other hand, attempts at modelling real-world computation with the aim of isolating its hypercomputational content have…

逻辑 · 数学 2009-04-21 S. Barry Cooper