Derivaadi
Derivaadi is a theoretical construct in the field of higher-order differentiation and combinatorial algebra. It introduces a system of operators called Derivaadi derivatives that act on elements of a Derivaadi algebra, a graded algebraic structure equipped with a hierarchy of linear maps. Collectively, these operators generalize the familiar derivative to contexts with multiple variables and noncommutative products while retaining a form of linearity and a generalized product rule.
Origin and development: The concept was introduced in a speculative 2010s framework by a collaborative group
Core ideas: Derivaadi algebras are built from a grading by nonnegative integers. For each n, there is
Examples and applications: In theoretical studies of combinatorial species, dynamic networks, and symbolic computation, Derivaadi operators
See also: Derivation, Differential algebra, Higher-order differentiation, Operator theory.