1 citations · 4 across the 10 of their papers we have counts for
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The Best Constant For Inequality Involving Sum Of The Reciprocals And Product Of Positive Numbers With Unit Sum
Yagub N. Aliyev
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 va…
The number of inscribed and circumscribed graphs of a convex polyhedron
Yagub N. Aliyev
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 Ponc…
On integer linear combinations of terms of rational cycles for the generalized 3x+1 problem
Yagub N. Aliyev
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 com…
Geometric Properties of Planar and Spherical Interception Curves
Yagub N. Aliyev
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 t…
Apollonius Problem and Caustics of an Ellipsoid
Yagub N. Aliyev
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 giv…