quadratic polynomial 
A quadratic polynomial with cross terms is chosen to regress these samples by stepforward regression method and employed as a surrogate of numerical solver to drastically reduce the number of solvers call.


This dependence is approximated by a cubic polynomial for polystyrene solutions and by a quadratic polynomial for poly(vinyl acetate) solutions.


Analytical formulas are derived that represent the dose dependence of transceiver consumption current as a quadratic polynomial.


The basic idea of the method is to factor RSA numbers by factoring a wellchosen quadratic polynomial with integral coefficients.


Letf (m) be an irreducible quadratic polynomial with integral coefficients and positive leading coefficient.


We introduce in this paper a new algebraic approach to some problems arising in signal processing and communications that can be described as or reduced to systems of multivariate quadratic polynomial equations.


The minimum of an inhomogeneous quadratic polynomial inn variables


We consider the Gaussian quadrature formulae for the BernsteinSzeg? weight functions consisting of any one of the four Chebyshev weights divided by an arbitrary quadratic polynomial that remains positive on [1, 1].


Here we compute the norm of the error functional for the BernsteinSzeg? weight functions consisting of any of the four Chebyshev weights divided by an arbitrary quadratic polynomial that remains positive on [1, 1].


The requirements of consistency are met by the use of a quadratic polynomial basis.


Response surface methodology is used to fit a quadratic polynomial to data gathered from a series of structural optimizations.


However it differs from GFDM by using a sequence of two first order numerical derivations based on linear polynomial basis instead of a second order derivation based on a quadratic polynomial basis.


Our main result is that every planar function is a quadratic polynomial.


A quadratic polynomial model was constructed to predict the effects and interactions of these two environmental conditions on the maximal optical density obtained (r2?=?0.97).


An extensionR?T of commutative integral domains is called a Δ0extension, provided each intermediateRmodule is actually an intermediate ring, and an extensionR?T is called quadratic if eacht∈T satisfies a monic quadratic polynomial overR.


In this work we classify the phase portraits of all quadratic polynomial differential systems having a polynomial first integral.


The twobody Hamiltonian considered includes a quadratic polynomial in bosons to describe the motion of the selected degrees of freedom.


Necessary and sufficient conditions are given for a quadratic polynomial to be a divisor of a nonzero harmonic polynomial inRn.


LetF(Χ)=Q(Χ)+L(Χ) be a real quadratic polynomial with no constant term.


In particular we find analytic closed surfaces of genus zero where F is a quadratic polynomial or F(λ) = cλ2n+1.

