It follows from [14, Section 17, p. 163] that 3Θ is very ample. In the singular case, D’Souza has constructed a natural compactification J̄0 for the Jacobian J0 of a complete, integral curve over an algebraically closed field [5]. The scheme J̄0 parametrizes torsion-free, rank 1 sheaves of Euler characteristic 0 on X . A natural question in this context is whether there is a canonical Cartier div...

Background: Heat stress in the steel industry is considered as a serious threat to the health and safety of workers. A wide spectrum of complications and diseases from mild disorders such as burning sensation to fatal conditions such as thermal shock may occur due to uncontrolled thermal stress. In this study, heat stress assessment was performed according to the wet-bulb globe temperature (WBG...

We introduce a new concept of general $G$-$eta$-monotone operator generalizing the general $(H,eta)$-monotone operator cite{arvar2, arvar1}, general $H-$ monotone operator cite{xiahuang} in Banach spaces, and also generalizing $G$-$eta$-monotone operator cite{zhang}, $(A, eta)$-monotone operator cite{verma2}, $A$-monotone operator cite{verma0}, $(H, eta)$-monotone operator cite{fanghuang}...

We study some specializations and extensions of the quantum version of the MacMahon Master Theorem derived by Garoufa-lidis, Lê and Zeilberger. In particular, we obtain a (t, q)-analogue for the Cartier-Foata noncommutative version and a semi-strong (t, q)-analogue for the contextual algebra. R ´ ESUMÉ. Nousétudions certaines spécialisations et extensions de la version quantique du " Master The...

In this paper, we introduce and study a generalized Yosida approximation operator associated to H(·, ·)-co-accretive operator and discuss some of its properties. Using the concept of graph convergence and resolvent operator, we establish the convergence for generalized Yosida approximation operator. Also, we show an equivalence between graph convergence for H(·, ·)-co-accretive operator and gen...

From a rational convex polytope of dimension r ≥ 2 J.P. Hansen constructed an error correcting code of length n = (q−1)r over the finite field Fq. A rational convex polytope is the same datum as a normal toric variety and a Cartier divisor. The code is obtained evaluating rational functions of the toric variety defined by the polytope at the algebraic torus, and it is an evaluation code in the ...