largex

Largex is a fictional binary operator used in mathematics education and theoretical computer science to illustrate the idea of a parameterized operation that scales an input by a growth rule. In its simplest form, largex is defined as largex(a, n) = a · c(n), where a is a real number, n is a nonnegative integer, and c(n) is a prescribed growth function. Because c(n) is not fixed, largex denotes a family of operators rather than a single function; common choices include c(n) = 2^n (exponential growth) or c(n) = n^2 (polynomial growth). The operator is thus context-dependent and not part of standard arithmetic.

Notation and interpretation: The name signals that the result scales with a parameter linked to “x” or “n,” depending on the material. In examples, the evaluation depends on both a and n.

Properties: Because largex is not uniquely defined, algebraic properties such as associativity or distributivity are not universal; they follow from the chosen c(n). In teaching, instructors may fix a particular c(n) to demonstrate specific behavior.

History: The term appears in instructional materials and informal blogs in the 2020s as a generic placeholder for a scaling operator, rather than a formal mathematical axiom.

Applications: Used to compare growth rates of functions or to illustrate how changing a parameter affects outcomes in a simple model.

See also: scaling, operator, growth rate, artificial operators.