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The fundamental role of mathematics as an inspiration for artists, but also as a tool for art creation, is presented in this paper following different art fields, like architecture, sculpture, painting, photography, literature and poetry,…

History and Overview · Mathematics 2025-03-06 Maria J. Esteban

The existing theorization of development economics and transition economics is probably inadequate and perhaps even flawed to accurately explain and analyze a dual economic system such as that in China. China is a country in the transition…

General Economics · Economics 2021-10-06 Tianyong Zhou

We provide an historical overview of how advances in technology influenced high school and university mathematical competitions in the United States and at the International Mathematical Olympiad. While students are not allowed the usage of…

History and Overview · Mathematics 2024-04-11 Bela Bajnok

The world of mathematics is often considered abstract, with its symbols, concepts, and topics appearing unrelated to physical objects. However, it is important to recognize that the development of mathematics is fundamentally influenced by…

General Physics · Physics 2023-06-08 Biao Wu

The role of mathematics in a complex system such as the Internet has yet to be deeply explored. In this paper, we summarize some of the important and pressing problems in cyber security from the viewpoint of open science environments. We…

Cryptography and Security · Computer Science 2009-04-13 Juan Meza , Scott Campbell , David Bailey

The growing disconnection of the majority of population from mathematics is becoming a phenomenon that is increasingly difficult to ignore. This paper attempts to point to deeper roots of this cultural and social phenomenon. It concentrates…

History and Overview · Mathematics 2014-12-15 Alexandre V. Borovik

Starting from the Italian unification in 1861, we describe the role of mathematics teaching in the Italian system of education giving an account of the main features of Italian mathematics education, and referring to the official syllabi,…

History and Overview · Mathematics 2016-03-29 Marta Menghini

Symbolic calculators like Mathematica are becoming more commonplace among upper level physics students. The presence of such a powerful calculator can couple strongly to the type of mathematical reasoning students employ. It does not merely…

Physics Education · Physics 2009-11-13 Thomas J. Bing , Edward F. Redish

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

Mathematics is the language of science. Fluent and productive use of mathematics requires one to understand the meaning embodied in mathematical symbols, operators, syntax, etc., which can be a difficult task. For instance, in algebraic…

Physics Education · Physics 2019-09-26 Tra Huynh , Eleanor C Sayre

The shift toward high-quality urbanization has brought increased attention to the issue of "urban villages", which has become a prominent social problem in China. However, there is a lack of available geospatial data on urban villages,…

Databases · Computer Science 2025-03-19 Rui Cao , Wei Tu , Dongsheng Chen , Wenyu Zhang

In this note some philosophical thoughts and observations about mathematics are expressed, arranged as challenges to some common claims.

History and Overview · Mathematics 2016-01-27 Eliahu Levy

Chinese names for integers have always used the digits [1] through [9] and a series of decimal pivots starting with [10], [10 2 ], [10 3 ] and [10 4 ]. Changes occurred in the way the compounds [digit][pivot] were concatenated, with the…

History and Overview · Mathematics 2018-10-29 Rémi Anicotte

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

We consider a definition of mathematics as the art of thinking in terms of formalized systems, and the science of relations, structures and algorithms. We also touch upon the relation of mathematics to other sciences, in particular through…

History and Overview · Mathematics 2015-10-19 Snorre H. Christiansen

Chinese Spelling Correction (CSC) is a critical task in natural language processing, aimed at detecting and correcting spelling errors in Chinese text. This survey provides a comprehensive overview of CSC, tracing its evolution from…

Computation and Language · Computer Science 2025-02-18 Changchun Liu , Kai Zhang , Junzhe Jiang , Zixiao Kong , Qi Liu , Enhong Chen

This paper is an introduction to our ongoing more comprehensive work on a critically important period in the history of Russian mathematics education; it provides a glimpse into the socio-political environment in which the famous Soviet…

History and Overview · Mathematics 2021-05-25 Alexandre V. Borovik , Serguei D. Karakozov , Serguei A. Polikarpov

One of the variants for systematizing the activities of the historian of mathematics is proposed, as well as a scheme for organizing research and search work in the preparation of scientific articles and reports on the history of science.

History and Overview · Mathematics 2021-08-17 Bogatov Egor , Korenev Artem , Mikhailov Ilya

Physics makes powerful use of mathematics, yet the way this use is made is often poorly understood. Professionals closely integrate their mathematical symbology with physical meaning, resulting in a powerful and productive structure. But…

Physics Education · Physics 2010-02-03 Edward F. Redish , Ayush Gupta

We state the defining characteristic of mathematics as a type of symmetry where one can change the connotation of a mathematical statement in a certain way when the statement's truth value remains the same. This view of mathematics as…

History and Overview · Mathematics 2013-06-19 Noson S. Yanofsky , Mark Zelcer