W. H. Davenport has shown that the derivation algebra $\mathscr{D}(A)$ of a semisimple Malcev algebra $A$ of characteristic 0 acts completely reducibly on $A$. The ...

The use of computer algebra systems in a course on scientific computation is demonstrated. Various examples, such as the derivation of Newton's iteration formula, the secant method, Newton-Cotes and ...

Biderivations serve as bilinear mappings that satisfy derivation conditions in each argument of a Lie algebra. They offer a refined tool to probe the structure of Lie algebras, delineating both inner ...

Having already examined the Colpitts oscillator, we now look at its first cousin, the Clapp oscillator. Please consider the following illustration in Figure 1. There is an R-L-C network of passive ...