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The primes or prime polynomials (over finite fields) are supposed to be distributed `irregularly' , despite nice asymptotic or average behavior. We provide some conjectures/guesses/hypotheses with `evidence' of surprising symmetries in…

Number Theory · Mathematics 2016-03-22 Dinesh S. Thakur

This paper is a small step towards the goal of constructing a coherent theory of physic and mathematics together. It is based on two ideas, the localization of mathematical systems in space or space time, and the separation of the concepts…

History and Philosophy of Physics · Physics 2018-08-14 Paul Benioff

Interdisciplinary collaborations now sweep most fields of the natural and life sciences, necessary to tackle the world's most challenging problems. Yet, the scientific enterprise continues to be dominated by old stereotypes:…

Physics and Society · Physics 2018-11-05 Michael Szell , Yifang Ma , Roberta Sinatra

We perform the analysis of scientific collaboration at the level of universities. The scope of this study is to answer two fundamental questions: (i) can one indicate a category (i.e., a scientific discipline) that has the greatest impact…

Physics and Society · Physics 2013-12-17 Julian Sienkiewicz , Krzysztof Soja , Janusz A. Holyst , Peter M. A. Sloot

Scientific fields differ in terms of their subject matter, research techniques, collaboration sizes, rates of growth, and so on. We investigate whether common dynamics might lurk beneath these differences, affecting how scientific fields…

Physics and Society · Physics 2015-04-02 Luis M. A. Bettencourt , David I. Kaiser

We carry out a thorough bibliometric analysis of recent publications in mathematics based on the database Web of Science. The individual relations between various features and the citations are provided, and the importance of the features…

Digital Libraries · Computer Science 2021-02-16 Serge Richard , Qiwen Sun

It is examined whether the number ($J$) of (joint) publications of a "main scientist" with her/his coauthors ranked according to rank ($r$) importance, i.e. $ J \propto 1/r $, as found by Ausloos [1] still holds for subfields, i.e. when the…

Physics and Society · Physics 2015-04-21 Hassan Bougrine

Despite the apparent cross-disciplinary interactions among scientific fields, a formal description of their evolution is lacking. Here we describe a novel approach to study the dynamics and evolution of scientific fields using a…

Physics and Society · Physics 2011-02-03 Mark Herrera , David C. Roberts , Natali Gulbahce

Using data from co-authorships at the international level in all fields of science in 1990 and 2000, and within six case studies at the sub-field level in 2000, different explanations for the growth of international collaboration in science…

Physics and Society · Physics 2009-11-24 Caroline S. Wagner , Loet Leydesdorff

Disagreement is essential to scientific progress. However, the extent of disagreement in science, its evolution over time, and the fields in which it happens, remains poorly understood. Leveraging a massive collection of English-language…

Psychology is a discipline standing at the crossroads of hard and social sciences. Therefore it is especially interesting to study bibliometric characteristics of psychology journals. We also take two adjacent disciplines, neurosciences and…

Digital Libraries · Computer Science 2018-09-24 Andrey Lovakov , Vladimir Pislyakov

Recent years have seen the dramatic rise of the usage of AI algorithms in pure mathematics and fundamental sciences such as theoretical physics. This is perhaps counter-intuitive since mathematical sciences require the rigorous definitions,…

History and Overview · Mathematics 2024-08-07 Yang-Hui He

Recent decades have seen a rise in the use of physics methods to study different societal phenomena. This development has been due to physicists venturing outside of their traditional domains of interest, but also due to scientists from…

The psychology of science is the least developed member of the family of science studies. It is growing, however, increasingly into a promising discipline. After a very brief review of this emerging sub-field of psychology, we call for it…

General Economics · Economics 2023-09-19 Arash Mousavi , Reza Hafezi , Hasan Ahmadi

This paper explores the evolving role of health economics within economic research and publishing over the past 30 years. Historically largely a niche field, health economics has become increasingly prominent, with the share of health…

General Economics · Economics 2024-10-10 Lorenz Gschwent , Björn Hammarfelt , Martin Karlsson , Mathias Kifmann

We are pleased to present a Special Section on Statistics and Astronomy in this issue of the The Annals of Applied Statistics. Astronomy is an observational rather than experimental science; as a result, astronomical data sets both small…

Applications · Statistics 2009-05-15 Thomas J. Loredo , John Rice , Michael L. Stein

We describe the new field of mathematical analysis of deep learning. This field emerged around a list of research questions that were not answered within the classical framework of learning theory. These questions concern: the outstanding…

Machine Learning · Computer Science 2023-02-09 Julius Berner , Philipp Grohs , Gitta Kutyniok , Philipp Petersen

Women have become better represented in business, academia, and government over time, yet a dearth of women at the highest levels of leadership remains. Sociologists have attributed the leaky progression of women through professional…

Physics and Society · Physics 2019-03-27 Sara M. Clifton , Kaitlin Hill , Avinash J. Karamchandani , Eric A. Autry , Patrick McMahon , Grace Sun

Decision-makers abhor uncertainty, and it is certainly true that the less there is of it the better. However, recognizing that uncertainty is part of the equation, particularly for deciding on environmental policy, is a prerequisite for…

Methodology · Statistics 2022-09-28 Noel Cressie

The century of complexity has come. The face of science has changed. Surprisingly, when we start asking about the essence of these changes and then critically analyse the answers, the result are mostly discouraging. Most of the answers are…

General Literature · Computer Science 2013-08-05 A. N. Gorban , G. S. Yablonsky