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Here we focus on uncertainties described by two polynomials.
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The element transverse displacement is described by four linear shape functions plus a variable number of hierarchical functions which are forms of Legendre orthogonal polynomials.
The ε data are successfully reconstructed and parameterized by eight polynomials.
A novel diagnostic framework is discussed for fault detection of nonlinear systems whose structure is described by multivariate polynomials.
The curves presented can be successfully described by empirical polynomials of second power and different coefficients.
The shell is discretized into four 90° sectorial elements allowing for up to four different outer curves and up to four different inner curves described by polynomials which define the planform of the shell; the elements are joined together through the use of artificial springs.
The class of plates is such that each plate may be discretized into four 90° sectorial elements allowing it to have up to four sections of outer boundary and up to four sections of inner boundary, each described by polynomials.
To capture this deviation, Balota et al. [28] proposed to add a quadratic frequency component to the equation (parabolic functions can be described by polynomials of degree 2).
The relations between nitration degree and the ratio of absorbance peak areas at 357 and 280 nm (A357/A280) can be described by second-order polynomials (R > 0.99).
In both males and females the relationships were positive and very slightly curved so hence best described by second-order polynomials.
The resulting time-varying linear systems are described by skew polynomial systems accepting most of the methods of ordinary polynomial systems.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com