Sibling curves were demonstrated in papers [2, 3] as a novel way to visualize the zeros of complex valued functions. In this paper, we continue the work done in those papers by focusing solely on polynomials. We proceed to prove that the number of sibling curves of a polynomial is the degree of the polynomial.Keywords: Polynomials, Fundamental Theorem of Algebra, sibling curves, visualizing roots
Abstract. Roots of graph polynomials such as the characteristic polynomial, the chromatic polynomial...
Graph polynomials are uniformly defined families of graph invariants which are polynomials in some p...
In this article, we introduce a new counting polynomial, namely the orbit polynomial. It is well-kno...
Sibling curves were demonstrated in [1, 2] as a novel way to visualize the zeroes of real valued fun...
Sibling curves are a new way to represent the zeroes of any complexvalued function. Interesting resu...
Sometimes a theorem is of such importance that it becomes known as the fundamental theorem in a bran...
textIn the study of mathematics, one of the most useful, relevant topics explored in secondary mathe...
Given a polynomial f(x,y) monic in y of degree d, we study the complement ℂ2-C, where C is the curve...
Summary. We present an example of a result in graph theory that is used to obtain a result in anothe...
We design algorithms for finding roots of polynomials over function fields of curves. Such algorithm...
The graph of a polynomial with roots c_1, c_2, c_3... meets the x axis at those roots. At a simple r...
A general theorem concerning the structure of a certain real algebraic curve is proved. Consequences...
Three theorems are given for approximate determination of magnitudes of polynomial roots. A definiti...
This paper presents an alternative proof of the Fundamental Theorem of Algebra that has several dist...
The main part of the thesis are various search methods and calculating polynomial roots. In the intr...
Abstract. Roots of graph polynomials such as the characteristic polynomial, the chromatic polynomial...
Graph polynomials are uniformly defined families of graph invariants which are polynomials in some p...
In this article, we introduce a new counting polynomial, namely the orbit polynomial. It is well-kno...
Sibling curves were demonstrated in [1, 2] as a novel way to visualize the zeroes of real valued fun...
Sibling curves are a new way to represent the zeroes of any complexvalued function. Interesting resu...
Sometimes a theorem is of such importance that it becomes known as the fundamental theorem in a bran...
textIn the study of mathematics, one of the most useful, relevant topics explored in secondary mathe...
Given a polynomial f(x,y) monic in y of degree d, we study the complement ℂ2-C, where C is the curve...
Summary. We present an example of a result in graph theory that is used to obtain a result in anothe...
We design algorithms for finding roots of polynomials over function fields of curves. Such algorithm...
The graph of a polynomial with roots c_1, c_2, c_3... meets the x axis at those roots. At a simple r...
A general theorem concerning the structure of a certain real algebraic curve is proved. Consequences...
Three theorems are given for approximate determination of magnitudes of polynomial roots. A definiti...
This paper presents an alternative proof of the Fundamental Theorem of Algebra that has several dist...
The main part of the thesis are various search methods and calculating polynomial roots. In the intr...
Abstract. Roots of graph polynomials such as the characteristic polynomial, the chromatic polynomial...
Graph polynomials are uniformly defined families of graph invariants which are polynomials in some p...
In this article, we introduce a new counting polynomial, namely the orbit polynomial. It is well-kno...