‎Let $R$ be a noncommutative prime ring of‎ ‎characteristic different from $2$‎, ‎$U$ the Utumi quotient ring of $R$‎, ‎$C$ $(=Z(U))$ the extended centroid‎ ‎of $R$‎. ‎Let $0neq ain R$ and $f(x_1,ldots,x_n)$ a multilinear‎ ‎polynomial over $C$ which is noncentral valued on $R$‎. ‎Suppose‎ ‎that $G$ and $H$ are two nonzero generalized derivations of $R$‎ ‎such that $a(H(f(x))f(x)-f(x)G(f(x)))in ...

We systematically investigate the activation of a series of variously hybridized bonds in simple model organic compounds by palladium. These comprise the C(sp3)–X, C(sp2)–X, and C(sp)–X bonds in X–substituted ethane, ethylene, and acetylene, respectively, with X = H, CH3, and Cl. Although the bonds become stronger from sp3 to sp hybridization, the activation barriers become lower. Our analysis ...

• Apply derivative-of-Gaussian filters ∇σ. •Represent local image structure by 2 × 2 matrix S(x, y) = ∇σI ( ∇σI )>. • S(x, y) is smoothed at scale τ . The response C(x, y) = detSτ / trSτ has maxima at distinctive image-points (qx, qy). •Consider the colour of I` around q i `, vs. the colour of Ir around q j r . •Difference between the two colours is put into a matching-table, fij. •Compute the ...