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 ...

It is shown that if $A$ is a Malcev algebra over a field of characteristic 0, then $A$ is semisimple if and only if the derivation algebra $\mathscr{D}(A)$ is ...

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 ...

Now, we know that I3 = I1 + I2, so V IN must be a nice linear function of V OUT and I1, namely: where F1 and F2 are functions of R1, R2, C1, and C2—and of frequency. We derived that equation just by ...