Starting from benzofuran-2-methanal, 6-substituted benzothiazole-2-amines and malonic esters, sixteen title compounds were designed and synthesized seeking to introduce anti-TMV activity. The structures of the newly synthesized compounds were confirmed by 1H-NMR, 13C-NMR, IR spectra, and MS (HREI) analysis. The bioassays identified some of these new compounds as having moderate to good anti-TMV...

In the present paper, a new characterization of orthogonality monic polynomials sequence $\left\{ Q_{n}\right\} _{n\geq 0}$ is obtained. This defined as linear combination another orthogonal P_{n}\right\} such as% \begin{equation*} Q_{n}(x)+r_{n}Q_{n-1}(x)=P_{n}(x)+s_{n}P_{n-1}(x)+t_{n}P_{n-2}\left( x\right) +v_{n}P_{n-3}\left( +w_{n}P_{n-4}(x),\ n\geq 0 \end{equation*}% where $w_{n}r_{n}\neq 0...

Let $d(n)$ and $d^*(n)$ be, respectively, the number of divisors unitary an integer $n\geq 1.$ A divisor $d$ is to be said if it prime over $\frac{n}{d}.$ In this paper, we study mean value function $D(n)=\frac{d(n)}{d^*(n)}$ in arithmetic progressions $ \left\lbrace l+mk \mid m\in\mathbb{N}^* \text{ } (l, k)=1 \right\rbrace;$ leads back real $x\mapsto S(x;k,l)=\underset{n\equiv l[k]}{\sum\limi...

the right ventricle (rv) is a complex structure with abstruse function that reveals important differences when compared to the left ventricle (lv), so it cannot be described as a simple geometric form and achromatic physiology. as an inference from this fact, in the present review, we aim to describe rv structure including the embryology, anatomy, and physiology and present a functional, hemody...

A right ternary N -group (RTNG) over a right ternary near-ring N is a generalization of its binary counterpart and fuzzy soft sets are generalization of soft sets which are parameterized family of subsets of a universal set. In this paper fuzzy soft N -subgroups and N -ideals over right ternary N -groups are defined and their basic algebraic properties are studied. Fuzzy soft N -subgroups and N...

Background and Aim: Haller cells are one of the anatomical variations in the orbital area, which are important in endoscopic surgical procedures and have a role in the pathogenesis of some diseases including sinusitis and chronic craniofacial pain. The frequency of Haller cells has been reported in a wide range, which can be attributed to several factors. The purpose of this study was to determ...

Let 2[n] and ( $$\matrix{{\left[ n \right]} \cr i } $$ ) be the power set collection of all i-subsets {1, 2, …, n}, respectively. We call t (t ≥ 2) families $${{\cal A}_1},{{\cal A}_2}, \ldots ,{{\cal A}_t} \subseteq {2^{\left[ \right]}}$$ cross-intersecting if Ai ∩ Aj ≠ ∅ for any $${A_i} \in {{\cal A}_i}$$ $${A_j} A}_j}$$ with j. show that, k +l, l r 1, c > 0 $${\cal A} \left( {\matrix{{\left[...