On the addition of values of a quadratic polynomial at units modulo n
Sign Up to like & getrecommendations! Published in 2020 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-020-01067-w
Abstract: Let $$\mathbb{Z}_{n}$$ be the ring of residue classes modulo n, $$\mathbb{Z}_{n}^{*}$$ be its unit group, and let $$f(z)=az^{2}+bz$$ be an integral quadratic polynomial with $$b\neq0$$ and $${\rm gcd}(a,b)=1$$ . In this paper, for any integer… read more here.
Keywords: polynomial units; values quadratic; units modulo; addition values ... See more keywords
A sludge volume index (SVI) model based on the multivariate local quadratic polynomial regression method
Sign Up to like & getrecommendations! Published in 2017 at "Chinese Journal of Chemical Engineering"
DOI: 10.1016/j.cjche.2017.08.007
Abstract: Abstract In this study, a multivariate local quadratic polynomial regression (MLQPR) method is proposed to design a model for the sludge volume index (SVI). In MLQPR, a quadratic polynomial regression function is established to describe… read more here.
Keywords: multivariate local; polynomial regression; method; model ... See more keywords
On the configurations of the singular points and their topological indices for the spatial quadratic polynomial differential systems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.07.022
Abstract: Abstract Using the Euler-Jacobi formula there is a relation between the singular points of a polynomial vector field and their topological indices. Using this formula we obtain the configuration of the singular points together with… read more here.
Keywords: differential systems; polynomial differential; topological indices; configurations singular ... See more keywords
Dynamical modular curves for quadratic polynomial maps
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DOI: 10.1090/tran/7474
Abstract: Motivated by the dynamical uniform boundedness conjecture of Morton and Silverman, specifically in the case of quadratic polynomials, we give a formal construction of a certain class of dynamical analogues of classical modular curves. The… read more here.
Keywords: polynomial maps; curves quadratic; preperiodic points; dynamical modular ... See more keywords
A Quadratic Polynomial Receiving Scheme for Sinusoidal Signals Enhanced by Stochastic Resonance Under Color Noise
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DOI: 10.1109/access.2020.2984021
Abstract: In this paper, a receiving scheme for intermediate frequency (IF) signals enhanced by stochastic resonance (SR) is proposed. The proposed scheme mitigates the reception failure of these signals, which can occur in radio and communication… read more here.
Keywords: tex math; sinusoidal signals; quadratic polynomial; inline formula ... See more keywords
Global Phase Portraits for the Abel Quadratic Polynomial Differential Equations of the Second Kind With Z2-symmetries
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DOI: 10.4153/cmb-2017-026-6
Abstract: Abstract We provide normal forms and the global phase portraits on the Poincaré disk for all Abel quadratic polynomial diòerential equations of the second kind with ${{\mathbb{Z}}_{2}}$ -symmetries. read more here.
Keywords: second kind; global phase; equations second; quadratic polynomial ... See more keywords