Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Aliyev, Yagub N."'
Autor:
Aliyev, Yagub N.
We study the dual of Philo's shortest line segment problem which asks to find the optimal line segments passing through two given points, with a common endpoint, and with the other endpoints on a given line. The provided solution uses multivariable c
Externí odkaz:
http://arxiv.org/abs/2406.05702
Autor:
Aliyev, Yagub N.
We study caustics of an elliptical paraboloid and the history of their various representations from 3D models in XIX century to the recent computer graphics. In the paper two ways of generating the surface, one with cartesian coordinates using formul
Externí odkaz:
http://arxiv.org/abs/2405.19484
Autor:
Aliyev, Yagub N.
Publikováno v:
Elemente der Mathematik 2024
In the paper we prove generalization of Schl\"omilch's and Zetel's theorems about concurrent lines in a triangle. This generalization is obtained as a corollary of sharp geometric inequality about the ratio of triangular areas which is proved using d
Externí odkaz:
http://arxiv.org/abs/2401.00930
Autor:
Aliyev, Yagub N.
In the paper we prove that the number of graphs inscribed into graph of a convex polyhedron and circumscribed around another graph does not exceed 4. For this we first studied Poncelet type problem about the number of convex $n$-gons inscribed into o
Externí odkaz:
http://arxiv.org/abs/2312.09552
Autor:
Aliyev, Yagub N.
Publikováno v:
J Inequal Appl 29 (2024)
In the paper we study a special parameter containing algebraic inequality involving sum of reciprocals and product of positive real numbers whose sum is 1. We determine the best values of the parameter using a new optimization argument. In the case o
Externí odkaz:
http://arxiv.org/abs/2311.17481
Autor:
Aliyev, Yagub N.
In the paper, some special linear combinations of the terms of rational cycles of generalized Collatz sequences are studied. It is proved that if the coefficients of the linear combinations satisfy some conditions then these linear combinations are i
Externí odkaz:
http://arxiv.org/abs/2307.11990
Autor:
Aliyev, Yagub N.
Publikováno v:
Axioms (ISSN 2075-1680) Special Issue "Advances in Mathematics and Its Applications II"
In the paper, some geometric properties of the plane interception curve defined by a nonlinear ordinary differential equation are discussed. Its parametric representation is used to find the limits of some triangle elements associated with the curve.
Externí odkaz:
http://arxiv.org/abs/2305.07873
Autor:
Aliyev, Yagub N.
In the paper we discuss Apollonius Problem on the number of normals of an ellipse passing through a given point. It is known that the number is dependent on the position of the given point with respect to a certain astroida. The intersection points o
Externí odkaz:
http://arxiv.org/abs/2305.06065
Autor:
Aliyev, Yagub N.1 (AUTHOR) yaliyev@ada.edu.az
Publikováno v:
Journal of Inequalities & Applications. 3/1/2024, Vol. 2024 Issue 1, p1-12. 12p.
Autor:
ALIYEV, YAGUB N.1 yaliyev@qu.edu.az
Publikováno v:
International Journal of Geometry. Oct2013, Vol. 2 Issue 2, p50-55. 6p.