Aaron Abrams
We present a new twist on an old identity.
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Aaron Abrams
We present a new twist on an old identity.
Valentino Smaldore
In this note, we list many equivalent constructions of the tangent polar graph $NO^+(6,2)$.
Pavlo Deriy
New formulas for the construction of Pythagorean triples and generalizations to equations of higher powers. Application of formulas to some problems, in particular Fermat's equation with n=4.
David Holcman
This brief text is in memory of Professor Ivan Kupka. It presents his vision, scientific life, his interest in mathematics and our join collaboration.
Shenghao Li
This article is an introduction to Mordell-Weil theorem. In this article, I introduced some basic properties about ellptic curves and proved the theorem in two different ways.
Tanya Khovanova
We establish fun parallels between coin-weighing puzzles and knights-and-knaves puzzles.
Galina Sinkevich
This article focuses on evolvement of the history of mathematics as a science and development of its methodology from the 4th century B.C. to the age of Enlightenment.
Michael Atiyah
This paper explains unexpected links between the 3 topics in the title and frames them in a large canvas.
Chaim Goodman-Strauss
A survey of tessellations, which appeared in Italian in La Matematica vol 3 in 2010. The Tiling Lemma appears for the first time.
Felix Sidokhine
In our work we give the examples using Fermat's Last Theorem for solving some problems from algebra, geometry and number theory
Alexander Gnedin
We discuss variations of the zero-sum game where Bob selects two distinct numbers, and Alice learns one of them to make a guess which of the numbers is the larger.
Rafael López
The paper approaches to the reader to topology with a curious example of topological classification by homeomorphisms applied to the letters of the alphabet viewed as subsets of Euclidean plane.
Sima Mehri
We have found some patterns in some triangles.
Stefan Müller-Stach
This article is about life and work of Otto Toeplitz, who was influenced by the ideas of Felix Klein and David Hilbert.
Adam Grygiel
We summarize the major results in number theory of the last decade.
Arseny Akopyan
In this paper we give purely geometrical proofs of the well-known properties of the lemniscate of Bernoulli.
Claude Roger
This article gives a short sketch of the origins of Virasoro cocycle, both in algebra and quantum field theory.
Vladimir Shevelev
We give two proofs of the identity $$\sqrt{\frac{\cos\frac{2π}{5}} {\cos\fracπ{5}}}+\sqrt{\frac{\cos\fracπ{5}} {\cos\frac{2π}{5}} }=\sqrt{5},$$ using and not using the gold ratio.
S. Kutateladze
This is a short tribute to Alexandr Alexandrov (1912--1999).
Robert R. Phelps
The following paragraphs will describe the origins of John Rainwater, the impact of his work, the motivations for various parts of it and the prospects for his future.