ai. Blissard’s notation has been known variously as Lucas’s method, the symbolic method (or symbolic notation), and the umbral calculus. We shall use Rota and Taylor’s term “classical umbral calculus” [36] to distinguish it from the more elaborate mathematical edifice that the term “umbral calculus” has come to encompass [31, 32, 34]. The goal of this article is to show, by numerous examples, h...

Background: Organophosphorus pesticides are widely used in agriculture, homes, gardens, and veterinary practices. Extensive application of pesticides in agriculture often results in residues of these compounds being absorbed into the foods, including wheat. The aim of this study was to evaluate the residue levels of 20 organophosphorus pesticides in wheat samples collected from different region...

In this paper, a decoding method is proposed for the (41, 21, 9) quadratic residue code. The method is acquired through applying the condition of the modified Gao’s algorithm that is similar to fast transform decoding developed by Shiozaki [8]. The property of the syndrome polynomial is used in our decoding method. The new algorithm for has been verified by a software simulation using C languag...

Superdeduction is a method specially designed to ease the use of first-order theories in predicate logic. The theory is used to enrich the deduction system with new deduction rules in a systematic, correct and complete way. A proof-term language and a cut-elimination reduction already exist for superdeduction, both based on Christian Urban’s work on classical sequent calculus. However the compu...