In this article, we will show that for every choice of real numbers a1 and a2, the set (loci) of solutions of all polynomials of the type x3+ a2x2+ a1x+ d, where d∈ R, can be characterized in terms of hyperbolas. Furthermore, relations between such hyperbolas and Steiner ellipses (inellipses and circumellipses) associated with cubics will be pointed out
The purpose of this thesis is to study the effects of hyperbolic transformations on the cubic that i...
To the memory of my mother Abstract. A real polynomial of one real variable is hyperbolic (resp. str...
In the article LliVul2006 the family of cubic polynomial differential systems possessing invariant s...
In this article, we will show that for every choice of real numbers a1 and a2, the set (loci) of sol...
Imagine a sphere with its equator inscribed in an equilateral triangle. This Saturn-like figure will...
We consider the family of polynomials xn + a1xn−1 + a2xn−2 + · · · + an, ai ∈ R, and its hyperboli...
Abstract. Hyperbolic polynomials are real polynomials whose real hypersurfaces are max-imally nested...
Real algebraic geometry is the study of geometric objects defined by polynomial equations with real ...
This thesis consists of five papers in algebraic and enumerative combinatorics. The objects at the h...
Triangle, complex cubic polynomial, ellipse inscribed, derivativesMarden's theorem has been called t...
Abstract. The problem of finding rational or integral points of an ellip-tic curve basically boils d...
In this paper, we will discuss general conic and quadratic equation, historical and theoretical par...
This thesis focuses on the polynomial f(x, y, z) = x3 + y3 + z3 - 3xyz and the properties, stated as...
This paper aims at obtaining non-zero distinct integer solutions to the hyperbola represented by the...
A conic section is a plane quadratic curve, that is, the graph of an equation of the form ax² + bxy ...
The purpose of this thesis is to study the effects of hyperbolic transformations on the cubic that i...
To the memory of my mother Abstract. A real polynomial of one real variable is hyperbolic (resp. str...
In the article LliVul2006 the family of cubic polynomial differential systems possessing invariant s...
In this article, we will show that for every choice of real numbers a1 and a2, the set (loci) of sol...
Imagine a sphere with its equator inscribed in an equilateral triangle. This Saturn-like figure will...
We consider the family of polynomials xn + a1xn−1 + a2xn−2 + · · · + an, ai ∈ R, and its hyperboli...
Abstract. Hyperbolic polynomials are real polynomials whose real hypersurfaces are max-imally nested...
Real algebraic geometry is the study of geometric objects defined by polynomial equations with real ...
This thesis consists of five papers in algebraic and enumerative combinatorics. The objects at the h...
Triangle, complex cubic polynomial, ellipse inscribed, derivativesMarden's theorem has been called t...
Abstract. The problem of finding rational or integral points of an ellip-tic curve basically boils d...
In this paper, we will discuss general conic and quadratic equation, historical and theoretical par...
This thesis focuses on the polynomial f(x, y, z) = x3 + y3 + z3 - 3xyz and the properties, stated as...
This paper aims at obtaining non-zero distinct integer solutions to the hyperbola represented by the...
A conic section is a plane quadratic curve, that is, the graph of an equation of the form ax² + bxy ...
The purpose of this thesis is to study the effects of hyperbolic transformations on the cubic that i...
To the memory of my mother Abstract. A real polynomial of one real variable is hyperbolic (resp. str...
In the article LliVul2006 the family of cubic polynomial differential systems possessing invariant s...
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