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pro vyhledávání: '"Heydari, Nasser"'
Autor:
Heydari, Nasser, Muroi, Kazuo
In this article, we study similarity of triangles in the Susa Mathematical Texts (\textbf{SMT}). We also suggest that the Susa scribes were aware of intercept theory because they used this theorem in solving a complicated system of equations.
Co
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Externí odkaz:
http://arxiv.org/abs/2310.06997
Autor:
Heydari, Nasser, Muroi, Kazuo
This article studies the systems of equations appearing in the Susa Mathematical Texts (\textbf{SMT}) and the different approaches used by the Susa scribes to solve them.
Comment: 25 pages and 2 figures
Comment: 25 pages and 2 figures
Externí odkaz:
http://arxiv.org/abs/2310.06994
Autor:
Heydari, Nasser, Muroi, Kazuo
In this article, we study some of quadratic equations and their solutions found in the Susa Mathematical Texts (\textbf{SMT}). We show that the Susa scribes used this group of equations in different problems and took a standard approach, known as com
Externí odkaz:
http://arxiv.org/abs/2310.06101
Autor:
Heydari, Nasser, Muroi, Kazuo
This article studies the application of the Pythagorean theorem in the Susa Mathematical Texts (\textbf{SMT}) and we discuss those texts whose problems and related calculations demonstrate its use. Among these texts, \textbf{SMT No.\,1} might be the
Externí odkaz:
http://arxiv.org/abs/2305.17753
Autor:
Heydari, Nasser, Muroi, Kazuo
In this article, we study the problems found in the Susa Mathematical Texts No.\,24 and No.\,25 (\textbf{SMT No.\,24} and \textbf{SMT No.\,25}) which concern excavation projects such as canals and holes. We also examine certain Elamite structures, su
Externí odkaz:
http://arxiv.org/abs/2304.01357
Autor:
Heydari, Nasser, Muroi, Kazuo
This article studies three-dimensional objects and their volumes in Elamite mathematics, particularly those found in the Susa Mathematical Tablet No.\,14 (\textbf{SMT No.\,14}). In our discussion, we identify some basic solids whose volumes have been
Externí odkaz:
http://arxiv.org/abs/2303.13230
Autor:
Heydari, Nasser, Muroi, Kazuo
In this article, we study a particular group of plane figures whose constants are listed in the Susa Mathematical Tablet No.\,3 (\textbf{SMT No.\,3}). We explain possible ways to define these figures and seek to demonstrate that the Susa scribes used
Externí odkaz:
http://arxiv.org/abs/2212.12423
Autor:
Heydari, Nasser, Muroi, Kazuo
The bisection of trapezoids by transversal lines has many examples in Babylonian mathematics. In this article, we study a similar problem in Elamite mathematics, inscribed on a clay tablet held in the collection of the Louvre Museum and thought to da
Externí odkaz:
http://arxiv.org/abs/2211.11139
Autor:
Heydari, Nasser, Muroi, Kazuo
In this article, we study the inscription on the reverse of Susa Mathematical Text No.\,2, a clay tablet held in the collection of the Louvre Museum and thought to date from between 1894--1595 BC. We focus on the formula given in this text for the ap
Externí odkaz:
http://arxiv.org/abs/2209.14289
Autor:
Baird, Thomas John, Heydari, Nasser
Publikováno v:
Algebr. Geom. Topol. 22 (2022) 3249-3276
Given a Hamiltonian system $ (M,\omega, G,\mu) $ where $(M,\omega)$ is a symplectic manifold, $G$ is a compact connected Lie group acting on $(M,\omega)$ with moment map $ \mu:M \rightarrow\mathfrak{g}^{*}$, then one may construct the symplectic quot
Externí odkaz:
http://arxiv.org/abs/1807.03875