Results 331 to 340 of about 1,691,025 (355)

Polynomials and Complex Polynomials

1997
If F is a field and n is a nonnegative integer, then a polynomial of degree n over F is a formal sum of the form $$P(x) = {a_0} + {a_1}x + \cdots + {a_n}{x^n}$$ With a i ∈ F for i = 0, .., n, a n ≠ 0 and x an indeterminate. A polynomial P(χ) over F is either a polynomial of some degree or the expression P(χ) = 0, which is called the zero ...
Gerhard Rosenberger, Benjamin Fine
openaire   +2 more sources

M-Polynomial and Degree-Based Topological Indices

, 2014
Let $G$ be a graph and let $m_{ij}(G)$, $i,j\ge 1$, be the number of edges $uv$ of $G$ such that $\{d_v(G), d_u(G)\} = \{i,j\}$. The {\em $M$-polynomial} of $G$ is introduced with $\displaystyle{M(G;x,y) = \sum_{i\le j} m_{ij}(G)x^iy^j}$.
Emeric Deutsch, Sandi Klavvzar
semanticscholar   +1 more source

Polynomial modules and general polynomials

Mathematical Proceedings of the Cambridge Philosophical Society, 1964
Throughout k denotes a field and k[X] = k[X1, …,Xn] the polynomial ring in n indeterminates over k.
openaire   +3 more sources

On Polynomials in a Polynomial

Bulletin of the London Mathematical Society, 1972
A. Evyatar, D. B. Scott
openaire   +3 more sources

Local polynomial modelling and its applications

, 1994
Jianqing Fan, I. Gijbels
semanticscholar   +1 more source

Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree

Advances in Computational Mathematics, 1995
H. Wendland
semanticscholar   +1 more source

Two-Frame Motion Estimation Based on Polynomial Expansion

Scandinavian Conference on Image Analysis, 2003
Gunnar Farnebäck
semanticscholar   +1 more source

Global sensitivity analysis using polynomial chaos expansions

Reliability Engineering & System Safety, 2008
B. Sudret
semanticscholar   +1 more source

Polynomial Trajectory Planning for Aggressive Quadrotor Flight in Dense Indoor Environments

International Symposium of Robotics Research, 2016
Charles Richter, Adam Bry, N. Roy
semanticscholar   +1 more source

Adaptive sparse polynomial chaos expansion based on least angle regression

Journal of Computational Physics, 2011
Géraud Blatman, B. Sudret
semanticscholar   +1 more source