Zobrazeno 1 - 10
of 9 682
pro vyhledávání: '"Mathematics - History"'
This memorial article for Mark Sapir provides a brief overview of his life and career. Among his many contributions we highlight two of his most celebrated achievements: his groundbreaking solutions to Burnside-type problems for semigroups and his in
Externí odkaz:
http://arxiv.org/abs/2412.15436
The Bologna Process has affected almost every field and every aspect of higher education in European countries which participate in it. The strife towards unification of the degrees, quality assurance and expanded access to higher education brought a
Externí odkaz:
http://arxiv.org/abs/2412.14796
Autor:
Hartarsky, Ivailo, Toninelli, Cristina
The goal of this book is to provide an introduction to the mathematical theory of Kinetically constrained models developed in the last twenty years, intended for both mathematicians and physicists.
Comment: 125 pages, 17 figures
Comment: 125 pages, 17 figures
Externí odkaz:
http://arxiv.org/abs/2412.13634
Autor:
Villarino, Mark B.
We present and ab initio detailed motivated presentation of Christian Huygens' geometric proofs of some of the most famous inequalities in circle quadrature. His monograph \emph{De circuli magnitudine inventa} is epoch-making for circular measurement
Externí odkaz:
http://arxiv.org/abs/2412.10880
Autor:
Cheigh, Justin, Moura, Guilherme Zeus Dantas e, Duke, Jacob Lehmann, Mauro, Annika, McDonald, Zoe, Mello, Anna, Miller, Kayla, Miller, Steven J., Iannuzzelli, Santiago Velazquez
The purpose of this short note is to show the interplay between math outreach and conducting original research, in particular how each can build off the other.
Comment: 9 pages, 5 figures
Comment: 9 pages, 5 figures
Externí odkaz:
http://arxiv.org/abs/2412.09750
Autor:
Hotz, Thomas, Ilchmann, Achim
Giovanni Battista Benedetti (1530--1590) derived two constructions of ovals given their minor and major axes. These were published in 1585 and seem to be the first solution to this problem. Therefore, the generally accepted view that ``the geometrica
Externí odkaz:
http://arxiv.org/abs/2412.09031
Autor:
Berglund, Nils
Lecture notes (in French) of a master 2 level course in applied mathematics. Contents: Part I. Markov chains on a countable space. 1. Examples 2. Summary of basic properties. 3. Spectral theory and speed of convergence. 4. Lyapunov functions and spee
Externí odkaz:
http://arxiv.org/abs/2412.07396
Autor:
Asok, Aravind
We discuss elements of a social history of the theory of projective modules over commutative rings. We attempt to study the question: how did the theory of projective modules become one of "mainstream" focus in mathematics? To do this, we begin in wh
Externí odkaz:
http://arxiv.org/abs/2412.05250
Autor:
Liu, Yan
This paper provides an exploration of parking functions, a classical combinatorial object. We present two viewpoints on their structure and properties: through poset of noncrossing partitions and polytopes.
Externí odkaz:
http://arxiv.org/abs/2412.10394
It is well known that there is a somewhat mysterious relation between the area of the quartic Fermat curve $x^4+y^4=1$, aka squircle, and the arc length of the lemniscate $(x^2+y^2)^2=x^2-y^2$. The standardproof of this fact uses relations between el
Externí odkaz:
http://arxiv.org/abs/2411.19864