We consider cyclic codes $\mathcal{C}_\mathcal{L}$ associated to quadratic trace forms in $m$ variables $Q_R(x) = \operatorname{Tr}_{q^m/q}(xR(x))$ determined by a family $\mathcal{L}$ of $q$-linearized polynomials $R$ over $\mathbb{F}_{q^m}$, and three related $\mathcal{C}_{\mathcal{L},0}$, $\mathcal{C}_{\mathcal{L},1}$ $\mathcal{C}_{\mathcal{L},2}$. describe the spectra for all these when is ...

Starting from a well-known construction of polynomial-based interpolatory 4-point schemes, in this paper we present an original affine combination of quadratic polynomial samples that leads to a non-uniform 4-point scheme with edge parameters. This blending-type formulation is then further generalized to provide a powerful subdivision algorithm that combines the fairing curve of a non-uniform r...

Recently in [7). a new multivariate B-spline scheme based on blending functions and control vertices was developed . This surface scheme allows CIo-1-continuous piecewise polynomial surfaces of degree k over arbitrary triangulations to be modelled . Actually, piecewise polynomial surfaces over a refined triangulation are produced given an arbitrary triangulation . The scheme exhibits both affin...

Abstract We investigate the existence of classical solutions to second-order quadratic Mean-Field Games systems with local and strongly decreasing couplings form $$-\sigma m^\alpha $$ -σmα , $$\alpha \ge 2/N$$ xmlns:mml...

Abstract The classical problem of a two-dimensional infinite linear elastic wedge, with opening angle $2\alpha $ 2 α , subjected to the action concentrated couple at its tip, was considered by Carothers. solution, which presents quadratic singularity in stress field, suffers spurious behavior...

Abstract In 1998, the paper Sergeyev (Math Program 81(1):127–146, 1998) has been published where a smooth piece-wise quadratic minorant proposed for multiextremal functions f ( x ) with first derivative $$f'(x)$$ f ? ( x )</mml:m...

Carbon-ion radiotherapy has been used to treat more than 9000 cancer patients in the world since 1994. Spreading of the Bragg peak is necessary for carbon-ion radiotherapy, and is designed based on the linear-quadratic model that is commonly used for photon therapy. Our recent analysis using in vitro cell kills and in vivo mouse tissue reaction indicates that radiation quality affects mainly th...

Cerebrovascular concentrations of prostaglandin E (PGE), prostaglandin F2 alpha (PGF2 alpha), 6-ketoprostaglandin F1 alpha (6-keto-PGF1 alpha), and thromboxane B2 (TXB2) were determined over a blood pressure range of 17-117 mm Hg (induced by inflation of balloon-tipped catheters placed in the thoracic descending aorta and at the aortic root) in eight newborn piglets to access the role of prosta...