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The problem of identifying the leading universities in a country is rather easy to solve, one may focus, for example, on highly cited papers or other indicators of excellence. Sometimes it is more challenging to find the universities of…

Digital Libraries · Computer Science 2018-09-05 Tatiana Lisitskaya , Pavel Taranov , Ekaterina Ugnich , Vladimir Pislyakov , .

This paper examines various methods and ideas for humanizing mathematics. The term 'humanizing mathematics' which includes elements of 'aesthetic mathematics' refers to approaches that emphasize the aesthetic, philosophical, and subjective…

History and Overview · Mathematics 2025-01-13 Takao Inoué

Migration plays a crucial role in urban growth. Over time, individuals opting to relocate led to vast metropolises like London and Paris during the Industrial Revolution, Shanghai and Karachi during the last decades and thousands of smaller…

Physics and Society · Physics 2025-04-03 Rafael Prieto-Curiel , Carmen Cabrera-Arnau

Floating point arithmetic allows us to use a finite machine, the digital computer, to reach conclusions about models based on continuous mathematics. In this article we work in the other direction, that is, we present examples in which…

Numerical Analysis · Mathematics 2017-10-05 Walter F. Mascarenhas

We find shift operators for the Dotsenko-Fateev equation, which is a differential equation of order 3, and for the three Fuchsian differential equations of order 4, 5 and 6, respectively, which are connected with the Dotsenko-Fateev…

Classical Analysis and ODEs · Mathematics 2025-10-27 Yoshishige Haraoka , Hiroyuki Ochiai , Takeshi Sasaki , Masaaki Yoshida

Neural machine translation (NMT) suffers a performance deficiency when a limited vocabulary fails to cover the source or target side adequately, which happens frequently when dealing with morphologically rich languages. To address this…

Computation and Language · Computer Science 2018-01-12 Kai Song , Yue Zhang , Min Zhang , Weihua Luo

We study the motion of substance in a finite channel that belongs to a network. The channel splits to two arms in a node of the network. There is an additional split of the secondary arm. We obtain analytical relationships for the…

Physics and Society · Physics 2019-01-09 Roumen Borisov , Nikolay K. Vitanov

It is estimated that over 3.6 billion passengers are travelling during the Chinese Spring Festival travel season. They leave their working cities and return their hometowns to enjoy annual family time, and back to cities after the holiday.…

Physics and Society · Physics 2014-11-05 Xianwen Wang , Chen Liu , Wenli Mao , Zhigang Hu , Li Gu

We review some of Olivier Messiaen's use of mathematics in his composition and his theoretical writings. The final version of this paper appeared in the book Twentieth-Century Music and Mathematics, R. Illiano (ed.), Brepols, Turnhout,…

History and Overview · Mathematics 2020-08-28 Athanase Papadopoulos

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

The link between age and migration propensity is long established, but existing models of country-level net migration ignore the effect of population age distribution on past and projected migration rates. We propose a method to estimate…

Applications · Statistics 2026-05-11 Nathan G. Welch , Hana Ševčíková , Adrian E. Raftery

High-level Chinese cartographic developments predate European innovations by several centuries. Whereas European cartographic progress -- and in particular the search for a practical solution to the perennial "longitude problem" at sea --…

History and Philosophy of Physics · Physics 2022-01-24 Richard de Grijs

This paper examines the history of previous examples of EMU from the viewpoint that state actors make decisions about whether to participate in a monetary union based on rational self-interest concerning costs and benefits to their national…

General Economics · Economics 2018-07-23 Chris Kirrane

This essay, originally published in the Sept 1990 Notices of the AMS, discusses problems of our mathematical education system that often stem from widespread misconceptions by well-meaning people of the process of learning mathematics. The…

History and Overview · Mathematics 2007-05-23 William P. Thurston

In this paper the authors discuss their experiences with ungrading at a small public university in the U.S. as well as a large public university in Germany. The courses described are Calculus 1, Mathematics for Liberal Arts, and courses for…

History and Overview · Mathematics 2023-10-10 Christine von Renesse , Sven A. Wegner

We give a solution of the following combinatorial problem: "Let one from $n$ married couples in the m\'enage problem (see Problem 1) be a couple of a known mathematician $M$ and his wife. After the ladies are seated at every other chair,…

Combinatorics · Mathematics 2015-08-04 Vladimir Shevelev , Peter J. C. Moses

This is an extended version of originally published survey in the book: "Advances in Modern Analysis and Mathematical Modeling". Editors: Yu.F.Korobeinik, A.G.Kusraev. Vladikavkaz: Vladikavkaz Scientific Center, of the Russian Academy of…

Classical Analysis and ODEs · Mathematics 2010-12-17 Sergei M. Sitnik

Academic migration is the change of host institution by a researcher, typically aimed at achieving a stronger research profile. Scientific features such as the number of collaborations, the productivity and its research impact tend to be…

Digital Libraries · Computer Science 2021-10-13 Pavlos Paraskevopoulos , Chiara Boldrini , Andrea Passarella , Marco Conti

In this review article, we discussed the Mathematics and mechanics behind the Enigma machine with an analysis of security strength. The German army used the Enigma machine during the second world war to encrypt communications. Due to its…

Cryptography and Security · Computer Science 2020-04-22 Kalika Prasad , Munesh Kumari

We propose a method for obtaining joint probabilistic projections of migration rates for all countries, broken down by age and sex. Joint trajectories for all countries are constrained to satisfy the requirement of zero global net…

Applications · Statistics 2013-10-29 Jonathan J. Azose , Adrian E. Raftery
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