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This essay offers a brief biography of Paul Erd\H{o}s and summarizes his approach to mathematics. This is further elucidated by a discussion of Erd\H{o}s' simple proof of Bertrand's Postulate.

History and Overview · Mathematics 2021-09-29 Meredith Paker

Joel Scherk (1946--1980) was an important early contributor to the development of string theory. Together with various collaborators, he made numerous profound and influential contributions to the subject throughout the decade of the 1970s.…

High Energy Physics - Theory · Physics 2009-04-06 John H. Schwarz

This note is a collection of several discussions of the paper "Beyond subjective and objective in statistics", read by A. Gelman and C. Hennig to the Royal Statistical Society on April 12, 2017, and to appear in the Journal of the Royal…

Methodology · Statistics 2017-05-11 Gilles Celeux , Jack Jewson , Julie Josse , Jean-Michel Marin , Christian P. Robert

Roger Carter (1934--2022) was a very well known mathematician working in algebra, representation theory and Lie theory. He spent most of his mathematical career in Warwick. Roger was a great communicator of mathematics: the clarity,…

History and Overview · Mathematics 2024-05-28 Meinolf Geck , Donna M. Testerman

This article explores the critical role of statistical analysis in precision medicine. It discusses how personalized healthcare is enhanced by statistical methods that interpret complex, multidimensional datasets, focusing on predictive…

Machine Learning · Computer Science 2024-01-17 Xiaofei Chen

Translation of Ludwig Boltzmann's paper "\"Uber die Eigenschaften monozyklischer und anderer damit verwandter Systeme" Crelles Journal 98. S. 68-94. 1884 u. 1885 from German into English. In this foundational paper Boltzmann introduced two…

History and Philosophy of Physics · Physics 2019-06-24 Ludwig Boltzmann

This is a survey paper on several aspects of differential geometry for the last 30 years, especially in those areas related to non-linear analysis. It grew from a talk I gave on the occasion of seventieth anniversary of Chinese Mathematical…

Differential Geometry · Mathematics 2007-05-23 Shing-Tung Yau

A variation of Dyck paths allows for down-steps of arbitrary length, not just one. Credits for this invention are given to Emeric Deutsch. Surprisingly, the enumeration of them is somewhat akin to the analysis of Motzkin-paths; the last…

Combinatorics · Mathematics 2020-04-16 Helmut Prodinger

The following notes are intended to make a small digression on the topics mentioned in the title of the same, since these were not addressed in the past tribute by the Institute of Physics of the UdeA. We believe more than platitude try to…

History and Overview · Mathematics 2010-06-23 Jonathan Taborda

This is the introduction I wrote for the multi-authored book "From Riemann to differential geometry and relativity", edited by L. Ji, A. Papadopoulos and S. Yamada (Berlin, Springer verlag, 2017). The book consists of twenty chapters,…

History and Overview · Mathematics 2017-09-04 Athanase Papadopoulos

Instructors of statistics who teach non-statistics majors possess varied academic backgrounds, and hence it is reasonable to expect variability in their content knowledge, and pedagogical approach. The aim of this study was to determine the…

Methodology · Statistics 2010-07-20 Rossi A. Hassad

I present some memories of my Ph.D supervisor and, later, collaborator but always encouraging supporter Prof. G. Lazarides. Some of his contributions to our common and related scientific activities on the phenomenology of MSSM and inflation…

High Energy Physics - Phenomenology · Physics 2026-01-01 C. Pallis

Prosopography is usually used to globally describe a large population of ordinary subjects. It is thus opposed to biography, as a genre devoted to exceptional individuals. I show in this article how to use prosopography to study a single…

History and Overview · Mathematics 2012-09-25 Catherine Goldstein

Egbert Brieskorn died on July 11, 2013, a few days after his 77th birthday. He was an impressive personality who has left a lasting impression on all who knew him, whether inside or outside of mathematics. Brieskorn was a great…

Algebraic Geometry · Mathematics 2017-11-28 Gert-Martin Greuel , Walter Purkert

A Thesis about Euler discussing the possibilities and limits of his method of work in Mathematics.

History and Overview · Mathematics 2025-05-30 Alexander Aycock

We summarize the papers published by Einstein in the Annalen der Physik in the years 1902-04 on the derivation of the properties of thermal equilibrium on the basis of the mechanical equations of motion and of the calculus of probabilities.…

History and Philosophy of Physics · Physics 2016-10-12 Luca Peliti , Raúl Rechtman

Numerical study of the distribution of the Riemann zeros differences following the work [1] shows the significance of the function for which the prime sum expression is proposed. Computational results related to this definition explored…

Number Theory · Mathematics 2014-02-06 Yuri Bachilov

This article, dedicated, with admiration to Reuben Hersh, for his forthcoming 90th birthday, argues that mathematics today is not yet a science, but that it is high time that it should become one.

History and Overview · Mathematics 2017-04-20 Doron Zeilberger

Published between 1760 and 1770, Bielfeld's writings prove that scholars of the time were acquainted with the concepts of both political arithmetic and German statistik, long before they merged into a new discipline at the beginning the…

History and Overview · Mathematics 2014-10-07 Bernard Ycart

This a biographical essay about Edsger Wybe Dijkstra.

General Literature · Computer Science 2020-10-02 Krzysztof R. Apt