CERTAIN REPRESENTATION OF A REAL POLYNOMIAL
نویسندگان
چکیده
منابع مشابه
ON THE EDGE COVER POLYNOMIAL OF CERTAIN GRAPHS
Let $G$ be a simple graph of order $n$ and size $m$.The edge covering of $G$ is a set of edges such that every vertex of $G$ is incident to at least one edge of the set. The edge cover polynomial of $G$ is the polynomial$E(G,x)=sum_{i=rho(G)}^{m} e(G,i) x^{i}$,where $e(G,i)$ is the number of edge coverings of $G$ of size $i$, and$rho(G)$ is the edge covering number of $G$. In this paper we stud...
متن کاملSummation identities for representation of certain real numbers
The background and motivation for studying this problem lies in finding the zeros of the jth-order generalized Fibonacci polynomial defined by Fj(x) = x j−1 − ··· − x− 1. Dubeau [1] and Flores [3] have shown that the positive roots of Fj(x) are of the form 2−O(2− j). Grossman and Narayan [4] have proven that the single negative zero of Fj(x) has the form −1+O( j−1) for j even and tends to −1 mo...
متن کاملCanonical representation for approximating solution of fuzzy polynomial equations
In this paper, the concept of canonical representation is proposed to find fuzzy roots of fuzzy polynomial equations. We transform fuzzy polynomial equations to system of crisp polynomial equations, this transformation is perform by using canonical representation based on three parameters Value, Ambiguity and Fuzziness.
متن کاملPolynomial Representation of Pictures
In many image processing applications, the discrete values of an image can be embedded in a continuous function. This type of representation can be useful for interpolation, geometrica! transformations or special features extraction. Given a rectangular M x N discrete image (or sub-image), it is shown how to compute a continuous polynomial function that guarantees an exact fit at the considered...
متن کاملThe Polynomial of a Permutation Representation*
Let (G, D) be a permutation representation of a finite group G acting on a finite set D. The cycle index of this representation is a polynomial P(G, D; Xl ,..., x,~) in several variables xl ,..., x~ with rational numbers as coefficients (see [1]). The restriction, made in [1], that the representation (G, D) is faithful, is unnecessary and we put no restriction on (G, D) whatsoever. We replace e...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications of the Korean Mathematical Society
سال: 2006
ISSN: 1225-1763
DOI: 10.4134/ckms.2006.21.4.675